Executes a result-less query against a given database (original) (raw)

sqlite_exec

SQLiteDatabase::exec

(PHP 5 < 5.4.0, PECL sqlite >= 1.0.3)

sqlite_exec -- SQLiteDatabase::exec — Executes a result-less query against a given database

Description

sqlite_exec ( resource $dbhandle , string $query [, string &$error_msg ] ) : bool

sqlite_exec ( string $query , resource $dbhandle ) : bool

public SQLiteDatabase::queryExec ( string $query [, string &$error_msg ] ) : bool

Warning

SQLite will execute multiple queries separated by semicolons, so you can use it to execute a batch of SQL that you have loaded from a file or have embedded in a script.

Parameters

dbhandle

The SQLite Database resource; returned fromsqlite_open() when used procedurally. This parameter is not required when using the object-oriented method.

query

The query to be executed.

Data inside the query should be properly escaped.

error_msg

The specified variable will be filled if an error occurs. This is specially important because SQL syntax errors can't be fetched using the sqlite_last_error() function.

Note: Two alternative syntaxes are supported for compatibility with other database extensions (such as MySQL). The preferred form is the first, where the dbhandleparameter is the first parameter to the function.

Return Values

This function will return a boolean result; TRUE for success or FALSE for failure. If you need to run a query that returns rows, see sqlite_query().

The column names returned by**SQLITE_ASSOC** and SQLITE_BOTH will be case-folded according to the value of thesqlite.assoc_case configuration option.

Changelog

Version Description
5.1.0 Added the error_msg parameter

Examples

Example #1 Procedural example

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mathvariant="normal">&quot;</mi><mi>m</mi><mi>a</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>n</mi><mo>−</mo><mi>r</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.01968</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>q</mi><mi>l</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>i</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>t</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>e</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>s</mi><mi>u</mi><mi>p</mi><mi>s</mi><mi>u</mi><mi>b</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mo>−</mo><mi>t</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mo>−</mo><mi>t</mi><mn>2</mn><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mo>−</mo><mi>r</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>h</mi><mi>e</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.1514</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>t</mi><mi>o</mi><mi>p</mi><mo>:</mo><mo>−</mo><mn>2.55</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi>m</mi><mi>a</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>n</mi><mo>−</mo><mi>l</mi><mi>e</mi><mi>f</mi><mi>t</mi><mo>:</mo><mn>0</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi>m</mi><mi>a</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>n</mi><mo>−</mo><mi>r</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.05</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>p</mi><mi>s</mi><mi>t</mi><mi>r</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>h</mi><mi>e</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>2.7</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>i</mi><mi>z</mi><mi>i</mi><mi>n</mi><mi>g</mi><mi>r</mi><mi>e</mi><mi>s</mi><mi>e</mi><mi>t</mi><mo>−</mo><mi>s</mi><mi>i</mi><mi>z</mi><mi>e</mi><mn>6</mn><mi>s</mi><mi>i</mi><mi>z</mi><mi>e</mi><mn>3</mn><mi>m</mi><mi>t</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi>m</mi><mi>t</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>e</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mo>−</mo><mi>s</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mtext>​</mtext><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mo>−</mo><mi>r</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>v</mi><mi>l</mi><mi>i</mi><mi>s</mi><mi>t</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>h</mi><mi>e</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.15</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>x</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>e</mi><mi>c</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>p</mi><mi>e</mi><mi>n</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo stretchy="false">(</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mi>d</mi><mi>b</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>d</mi><mi>l</mi><mi>e</mi><mo separator="true">,</mo><mi mathvariant="normal">&quot;</mi><mi>U</mi><mi>P</mi><mi>D</mi><mi>A</mi><mi>T</mi><mi>E</mi><mi>u</mi><mi>s</mi><mi>e</mi><mi>r</mi><mi>s</mi><mi>S</mi><mi>E</mi><mi>T</mi><mi>e</mi><mi>m</mi><mi>a</mi><mi>i</mi><mi>l</mi><msup><mo>=</mo><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>j</mi><mi>D</mi><mi>o</mi><mi>e</mi><mi mathvariant="normal">@</mi><mi>e</mi><mi>x</mi><mi>a</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi>e</mi><mi mathvariant="normal">.</mi><mi>c</mi><mi>o</mi><msup><mi>m</mi><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>W</mi><mi>H</mi><mi>E</mi><mi>R</mi><mi>E</mi><mi>u</mi><mi>s</mi><mi>e</mi><mi>r</mi><mi>n</mi><mi>a</mi><mi>m</mi><mi>e</mi><msup><mo>=</mo><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>j</mi><mi>D</mi><mi>o</mi><msup><mi>e</mi><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi mathvariant="normal">&quot;</mi><mo separator="true">,</mo></mrow><annotation encoding="application/x-tex">dbhandle = sqlite_open(&#x27;mysqlitedb&#x27;); &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-mathml&quot;&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mi&gt;l&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;msub&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;/msub&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;/mo&gt;&lt;/mrow&gt;&lt;annotation encoding=&quot;application/x-tex&quot;&gt;query = sqlite_exec(&lt;/annotation&gt;&lt;/semantics&gt;&lt;/math&gt;&lt;/span&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.625em;vertical-align:-0.1944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.03588em;&quot;&gt;q&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;u&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.03588em;&quot;&gt;ery&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:1em;vertical-align:-0.25em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;s&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.01968em;&quot;&gt;ql&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;i&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;t&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;e&lt;/span&gt;&lt;span class=&quot;msupsub&quot;&gt;&lt;span class=&quot;vlist-t vlist-t2&quot;&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.1514em;&quot;&gt;&lt;span style=&quot;top:-2.55em;margin-left:0em;margin-right:0.05em;&quot;&gt;&lt;span class=&quot;pstrut&quot; style=&quot;height:2.7em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;sizing reset-size6 size3 mtight&quot;&gt;&lt;span class=&quot;mord mathnormal mtight&quot;&gt;e&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-s&quot;&gt;​&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;vlist-r&quot;&gt;&lt;span class=&quot;vlist&quot; style=&quot;height:0.15em;&quot;&gt;&lt;span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;x&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;ec&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;dbhandle, &quot;UPDATE users SET email=&#x27;jDoe@example.com&#x27; WHERE username=&#x27;jDoe&#x27;&quot;, </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">d</span><span class="mord mathnormal">bhan</span><span class="mord mathnormal">d</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.0019em;vertical-align:-0.25em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal" style="margin-right:0.01968em;">ql</span><span class="mord mathnormal">i</span><span class="mord mathnormal">t</span><span class="mord"><span class="mord mathnormal">e</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">o</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord mathnormal">p</span><span class="mord mathnormal">e</span><span class="mord mathnormal">n</span><span class="mopen"><span class="mopen">(</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mord mathnormal">m</span><span class="mord mathnormal">ys</span><span class="mord mathnormal" style="margin-right:0.01968em;">ql</span><span class="mord mathnormal">i</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mord mathnormal">d</span><span class="mord"><span class="mord mathnormal">b</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mclose">)</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ka</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mord mathnormal">x</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span 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class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">h</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord 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class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">ia</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">hi</span><span class="mord mathnormal">dd</span><span class="mord mathnormal">e</span><span class="mord mathnormal">n</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">u</span><span class="mord mathnormal">e</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ba</span><span class="mord mathnormal">se</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">u</span><span class="mord mathnormal">t</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">h</span><span class="mord mathnormal">e</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.625</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.02778em;">er</span><span class="mord mathnormal">t</span><span class="mord mathnormal">i</span><span class="mord mathnormal">c</span><span class="mord mathnormal">a</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">a</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">n</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">−</span><span class="mord">0.1944</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">in</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.03588</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">u</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord 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style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.03588</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" 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style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ce</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">in</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.2778</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" 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mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">h</span><span class="mord mathnormal">e</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span 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style="margin-right:0.03588em;">g</span><span class="mord mathnormal">n</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">−</span><span class="mord">0.25</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" 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style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.01968em;">ql</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6986em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6542em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal">s</span><span class="mord mathnormal">u</span><span class="mord mathnormal">p</span><span class="mord mathnormal">s</span><span class="mord mathnormal">u</span><span class="mord mathnormal">b</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">t</span><span class="mord">2&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">h</span><span class="mord mathnormal">e</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.1514</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">t</span><span class="mord mathnormal">o</span><span class="mord mathnormal">p</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.854em;vertical-align:-0.1944em;"></span><span class="mord">−</span><span class="mord">2.55</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">in</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.854em;vertical-align:-0.1944em;"></span><span class="mord">0</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">in</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.05</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">p</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">u</span><span class="mord mathnormal">t</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">h</span><span class="mord mathnormal">e</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">2.7</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.04398em;">z</span><span class="mord mathnormal">in</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">rese</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">i</span><span class="mord mathnormal">ze</span><span class="mord">6</span><span class="mord mathnormal">s</span><span class="mord mathnormal">i</span><span class="mord mathnormal">ze</span><span class="mord">3</span><span class="mord mathnormal">m</span><span class="mord mathnormal">t</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">m</span><span class="mord mathnormal">t</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">s</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord">​</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">i</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">h</span><span class="mord mathnormal">e</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.15</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">ec</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal">o</span><span class="mord mathnormal">p</span><span class="mord mathnormal">e</span><span class="mord mathnormal">n</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">(</span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.9463em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">d</span><span class="mord mathnormal">bhan</span><span class="mord mathnormal">d</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.10903em;">U</span><span class="mord mathnormal" style="margin-right:0.13889em;">P</span><span class="mord mathnormal" style="margin-right:0.02778em;">D</span><span class="mord mathnormal">A</span><span class="mord mathnormal" style="margin-right:0.05764em;">TE</span><span class="mord mathnormal">u</span><span class="mord mathnormal">sers</span><span class="mord mathnormal" style="margin-right:0.13889em;">SET</span><span class="mord mathnormal">e</span><span class="mord mathnormal">mai</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><span class="mrel">=</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.9463em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.05724em;">j</span><span class="mord mathnormal">Doe</span><span class="mord">@</span><span class="mord mathnormal">e</span><span class="mord mathnormal">x</span><span class="mord mathnormal">am</span><span class="mord mathnormal" style="margin-right:0.01968em;">pl</span><span class="mord mathnormal">e</span><span class="mord">.</span><span class="mord mathnormal">co</span><span class="mord"><span class="mord mathnormal">m</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mord mathnormal" style="margin-right:0.05764em;">ERE</span><span class="mord mathnormal">u</span><span class="mord mathnormal" style="margin-right:0.02778em;">ser</span><span class="mord mathnormal">nam</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><span class="mrel">=</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.9463em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.05724em;">j</span><span class="mord mathnormal">Do</span><span class="mord"><span class="mord mathnormal">e</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mord">&quot;</span><span class="mpunct">,</span></span></span></span>error); if (!$query) { exit("Error in query: '$error'"); } else { echo 'Number of rows modified: ', sqlite_changes($dbhandle); } ?>

Example #2 Object-oriented example

<?php <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>d</mi><mi>b</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>d</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi>n</mi><mi>e</mi><mi>w</mi><mi>S</mi><mi>Q</mi><mi>L</mi><mi>i</mi><mi>t</mi><mi>e</mi><mi>D</mi><mi>a</mi><mi>t</mi><mi>a</mi><mi>b</mi><mi>a</mi><mi>s</mi><mi>e</mi><msup><mo stretchy="false">(</mo><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>m</mi><mi>y</mi><mi>s</mi><mi>q</mi><mi>l</mi><mi>i</mi><mi>t</mi><mi>e</mi><mi>d</mi><msup><mi>b</mi><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mo stretchy="false">)</mo><mo separator="true">;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>k</mi><mi>a</mi><mi>t</mi><mi>e</mi><mi>x</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>k</mi><mi>a</mi><mi>t</mi><mi>e</mi><mi>x</mi><mo>−</mo><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>m</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>x</mi><mi>m</mi><mi>l</mi><mi>n</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>h</mi><mi>t</mi><mi>t</mi><mi>p</mi><mo>:</mo><mi mathvariant="normal">/</mi><mi mathvariant="normal">/</mi><mi>w</mi><mi>w</mi><mi>w</mi><mi mathvariant="normal">.</mi><mi>w</mi><mn>3.</mn><mi>o</mi><mi>r</mi><mi>g</mi><mi mathvariant="normal">/</mi><mn>1998</mn><mi mathvariant="normal">/</mi><mi>M</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi mathvariant="normal">/</mi><mi>M</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>M</mi><mi>L</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>e</mi><mi>m</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>i</mi><mi>c</mi><mi>s</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>r</mi><mi>o</mi><mi>w</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>i</mi><mo>&gt;</mo><mi>q</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>i</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>i</mi><mo>&gt;</mo><mi>u</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>i</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>i</mi><mo>&gt;</mo><mi>e</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>i</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>i</mi><mo>&gt;</mo><mi>r</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>i</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>i</mi><mo>&gt;</mo><mi>y</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>i</mi><mo>&gt;</mo><mo>&lt;</mo><mi>m</mi><mi>o</mi><mo>&gt;</mo><mo>=</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>o</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>r</mi><mi>o</mi><mi>w</mi><mo>&gt;</mo><mo>&lt;</mo><mi>a</mi><mi>n</mi><mi>n</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mi>e</mi><mi>n</mi><mi>c</mi><mi>o</mi><mi>d</mi><mi>i</mi><mi>n</mi><mi>g</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>a</mi><mi>p</mi><mi>p</mi><mi>l</mi><mi>i</mi><mi>c</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">/</mi><mi>x</mi><mo>−</mo><mi>t</mi><mi>e</mi><mi>x</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>q</mi><mi>u</mi><mi>e</mi><mi>r</mi><mi>y</mi><mo>=</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>a</mi><mi>n</mi><mi>n</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>e</mi><mi>m</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>i</mi><mi>c</mi><mi>s</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>k</mi><mi>a</mi><mi>t</mi><mi>e</mi><mi>x</mi><mo>−</mo><mi>h</mi><mi>t</mi><mi>m</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mi>a</mi><mi>r</mi><mi>i</mi><mi>a</mi><mo>−</mo><mi>h</mi><mi>i</mi><mi>d</mi><mi>d</mi><mi>e</mi><mi>n</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>t</mi><mi>r</mi><mi>u</mi><mi>e</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>b</mi><mi>a</mi><mi>s</mi><mi>e</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>r</mi><mi>u</mi><mi>t</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>h</mi><mi>e</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.625</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi>v</mi><mi>e</mi><mi>r</mi><mi>t</mi><mi>i</mi><mi>c</mi><mi>a</mi><mi>l</mi><mo>−</mo><mi>a</mi><mi>l</mi><mi>i</mi><mi>g</mi><mi>n</mi><mo>:</mo><mo>−</mo><mn>0.1944</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>a</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>n</mi><mo>−</mo><mi>r</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.03588</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>q</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>u</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>o</mi><mi>r</mi><mi>d</mi><mi>m</mi><mi>a</mi><mi>t</mi><mi>h</mi><mi>n</mi><mi>o</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>a</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>n</mi><mo>−</mo><mi>r</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.03588</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mi>e</mi><mi>r</mi><mi>y</mi><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi>e</mi><mi mathvariant="normal">&quot;</mi><mi>s</mi><mi>t</mi><mi>y</mi><mi>l</mi><mi>e</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>a</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>n</mi><mo>−</mo><mi>r</mi><mi>i</mi><mi>g</mi><mi>h</mi><mi>t</mi><mo>:</mo><mn>0.2778</mn><mi>e</mi><mi>m</mi><mo separator="true">;</mo><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>l</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><mi>r</mi><mi>e</mi><mi>l</mi><mi mathvariant="normal">&quot;</mi><mo>&gt;</mo><mo>=</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mo>&lt;</mo><mi mathvariant="normal">/</mi><mi>s</mi><mi>p</mi><mi>a</mi><mi>n</mi><mo>&gt;</mo><mi>d</mi><mi>b</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>d</mi><mi>l</mi><mi>e</mi><mo>−</mo><mo>&gt;</mo><mi>q</mi><mi>u</mi><mi>e</mi><mi>r</mi><mi>y</mi><mi>E</mi><mi>x</mi><mi>e</mi><mi>c</mi><mo stretchy="false">(</mo><mi mathvariant="normal">&quot;</mi><mi>U</mi><mi>P</mi><mi>D</mi><mi>A</mi><mi>T</mi><mi>E</mi><mi>u</mi><mi>s</mi><mi>e</mi><mi>r</mi><mi>s</mi><mi>S</mi><mi>E</mi><mi>T</mi><mi>e</mi><mi>m</mi><mi>a</mi><mi>i</mi><mi>l</mi><msup><mo>=</mo><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>j</mi><mi>D</mi><mi>o</mi><mi>e</mi><mi mathvariant="normal">@</mi><mi>e</mi><mi>x</mi><mi>a</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi>e</mi><mi mathvariant="normal">.</mi><mi>c</mi><mi>o</mi><msup><mi>m</mi><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>W</mi><mi>H</mi><mi>E</mi><mi>R</mi><mi>E</mi><mi>u</mi><mi>s</mi><mi>e</mi><mi>r</mi><mi>n</mi><mi>a</mi><mi>m</mi><mi>e</mi><msup><mo>=</mo><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>j</mi><mi>D</mi><mi>o</mi><msup><mi>e</mi><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi mathvariant="normal">&quot;</mi><mo separator="true">,</mo></mrow><annotation encoding="application/x-tex">dbhandle = new SQLiteDatabase(&#x27;mysqlitedb&#x27;); &lt;span class=&quot;katex&quot;&gt;&lt;span class=&quot;katex-mathml&quot;&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;/mrow&gt;&lt;annotation encoding=&quot;application/x-tex&quot;&gt;query = &lt;/annotation&gt;&lt;/semantics&gt;&lt;/math&gt;&lt;/span&gt;&lt;span class=&quot;katex-html&quot; aria-hidden=&quot;true&quot;&gt;&lt;span class=&quot;base&quot;&gt;&lt;span class=&quot;strut&quot; style=&quot;height:0.625em;vertical-align:-0.1944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.03588em;&quot;&gt;q&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;u&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.03588em;&quot;&gt;ery&lt;/span&gt;&lt;span class=&quot;mspace&quot; style=&quot;margin-right:0.2778em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mrel&quot;&gt;=&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;dbhandle-&gt;queryExec(&quot;UPDATE users SET email=&#x27;jDoe@example.com&#x27; WHERE username=&#x27;jDoe&#x27;&quot;, </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">d</span><span class="mord mathnormal">bhan</span><span class="mord mathnormal">d</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.0019em;vertical-align:-0.25em;"></span><span class="mord mathnormal">n</span><span class="mord mathnormal">e</span><span class="mord mathnormal">wSQ</span><span class="mord mathnormal">L</span><span class="mord mathnormal">i</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.02778em;">eD</span><span class="mord mathnormal">a</span><span class="mord mathnormal">t</span><span class="mord mathnormal">aba</span><span class="mord mathnormal">se</span><span class="mopen"><span class="mopen">(</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mord mathnormal">m</span><span class="mord mathnormal">ys</span><span class="mord mathnormal" style="margin-right:0.01968em;">ql</span><span class="mord mathnormal">i</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mord mathnormal">d</span><span class="mord"><span class="mord mathnormal">b</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mclose">)</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ka</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mord mathnormal">x</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ka</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hm</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">h</span><span class="mord mathnormal">x</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">n</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">h</span><span class="mord mathnormal">ttp</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">//</span><span class="mord mathnormal" style="margin-right:0.02691em;">www</span><span class="mord">.</span><span class="mord mathnormal" style="margin-right:0.02691em;">w</span><span class="mord">3.</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord">/1998/</span><span class="mord mathnormal" style="margin-right:0.10903em;">M</span><span class="mord mathnormal">a</span><span class="mord mathnormal">t</span><span class="mord mathnormal">h</span><span class="mord">/</span><span class="mord mathnormal" style="margin-right:0.10903em;">M</span><span class="mord mathnormal">a</span><span class="mord mathnormal">t</span><span class="mord 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style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.03588</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">u</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">d</span><span class="mord mathnormal">ma</span><span class="mord mathnormal">t</span><span class="mord mathnormal">hn</span><span class="mord mathnormal" style="margin-right:0.02778em;">or</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">in</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.03588</span><span class="mord mathnormal">e</span><span class="mord mathnormal">m</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">ery</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mord mathnormal">c</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ce</span><span class="mord">&quot;</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:0.03588em;">y</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">in</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.03588em;">g</span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8889em;vertical-align:-0.1944em;"></span><span class="mord">0.2778</span><span class="mord mathnormal">e</span><span class="mord 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style="margin-right:0.01968em;">l</span><span class="mord mathnormal">a</span><span class="mord mathnormal">ss</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7335em;vertical-align:-0.0391em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord mathnormal">re</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;=&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;&lt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">/</span><span class="mord mathnormal">s</span><span class="mord mathnormal">p</span><span class="mord mathnormal">an</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">d</span><span class="mord mathnormal">bhan</span><span class="mord mathnormal">d</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord mathnormal">e</span><span class="mord">−</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">&gt;</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.0019em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.03588em;">q</span><span class="mord mathnormal">u</span><span class="mord mathnormal" style="margin-right:0.03588em;">ery</span><span class="mord mathnormal" style="margin-right:0.05764em;">E</span><span class="mord mathnormal">x</span><span class="mord mathnormal">ec</span><span class="mopen">(</span><span class="mord">&quot;</span><span class="mord mathnormal" style="margin-right:0.10903em;">U</span><span class="mord mathnormal" style="margin-right:0.13889em;">P</span><span class="mord mathnormal" style="margin-right:0.02778em;">D</span><span class="mord mathnormal">A</span><span class="mord mathnormal" style="margin-right:0.05764em;">TE</span><span class="mord mathnormal">u</span><span class="mord mathnormal">sers</span><span class="mord mathnormal" style="margin-right:0.13889em;">SET</span><span class="mord mathnormal">e</span><span class="mord mathnormal">mai</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><span class="mrel">=</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.9463em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.05724em;">j</span><span class="mord mathnormal">Doe</span><span class="mord">@</span><span class="mord mathnormal">e</span><span class="mord mathnormal">x</span><span class="mord mathnormal">am</span><span class="mord mathnormal" style="margin-right:0.01968em;">pl</span><span class="mord mathnormal">e</span><span class="mord">.</span><span class="mord mathnormal">co</span><span class="mord"><span class="mord mathnormal">m</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mord mathnormal" style="margin-right:0.13889em;">W</span><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="mord mathnormal" style="margin-right:0.05764em;">ERE</span><span class="mord mathnormal">u</span><span class="mord mathnormal" style="margin-right:0.02778em;">ser</span><span class="mord mathnormal">nam</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><span class="mrel">=</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">′</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.9463em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.05724em;">j</span><span class="mord mathnormal">Do</span><span class="mord"><span class="mord mathnormal">e</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7519em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord 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See Also