PHP: Hypertext Preprocessor (original) (raw)

pg_execute

(PHP 5 >= 5.1.0, PHP 7, PHP 8)

pg_execute — Sends a request to execute a prepared statement with given parameters, and waits for the result

Description

pg_execute() is like pg_query_params(), but the command to be executed is specified by naming a previously-prepared statement, instead of giving a query string. This feature allows commands that will be used repeatedly to be parsed and planned just once, rather than each time they are executed. The statement must have been prepared previously in the current session. pg_execute() is supported only against PostgreSQL 7.4 or higher connections; it will fail when using earlier versions.

The parameters are identical to pg_query_params(), except that the name of a prepared statement is given instead of a query string.

Parameters

connection

An PgSql\Connection instance. When connection is unspecified, the default connection is used. The default connection is the last connection made by pg_connect()or pg_pconnect().

Warning

As of PHP 8.1.0, using the default connection is deprecated.

stmtname

The name of the prepared statement to execute. if "" is specified, then the unnamed statement is executed. The name must have been previously prepared using pg_prepare(), pg_send_prepare() or a PREPARE SQL command.

params

An array of parameter values to substitute for the 1,1, 1,2, etc. placeholders in the original prepared query string. The number of elements in the array must match the number of placeholders.

Warning

Elements are converted to strings by calling this function.

Changelog

Version Description
8.1.0 Returns an PgSql\Result instance now; previously, a resource was returned.
8.1.0 The connection parameter expects an PgSql\Connection instance now; previously, a resource was expected.

Examples

Example #1 Using pg_execute()

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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>g</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><mo>−</mo><mn>0.0359</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>p</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>0.2861</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>r</mi><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>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>p</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>a</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>r</mi><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>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>c</mi><mi>o</mi><mi>n</mi><mi>n</mi><mo separator="true">,</mo><mi mathvariant="normal">&quot;</mi><mi>m</mi><msub><mi>y</mi><mi>q</mi></msub><mi>u</mi><mi>e</mi><mi>r</mi><mi>y</mi><mi mathvariant="normal">&quot;</mi><msup><mo separator="true">,</mo><mo mathvariant="normal" lspace="0em" rspace="0em">′</mo></msup><mi>S</mi><mi>E</mi><mi>L</mi><mi>E</mi><mi>C</mi><mi>T</mi><mo>∗</mo><mi>F</mi><mi>R</mi><mi>O</mi><mi>M</mi><mi>s</mi><mi>h</mi><mi>o</mi><mi>p</mi><mi>s</mi><mi>W</mi><mi>H</mi><mi>E</mi><mi>R</mi><mi>E</mi><mi>n</mi><mi>a</mi><mi>m</mi><mi>e</mi><mo>=</mo></mrow><annotation encoding="application/x-tex">dbconn = pg_connect(&quot;dbname=mary&quot;);// Prepare a query for execution &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;r&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mi&gt;l&lt;/mi&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;msub&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/msub&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;e&lt;/mi&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mi&gt;e&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;result = pg_prepare(&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:0.6944em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;res&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;u&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;lt&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:1.0361em;vertical-align:-0.2861em;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;p&lt;/span&gt;&lt;span class=&quot;mord&quot;&gt;&lt;span class=&quot;mord mathnormal&quot; style=&quot;margin-right:0.03588em;&quot;&gt;g&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:-0.0359em;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;p&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:0.2861em;&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;re&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;p&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;a&lt;/span&gt;&lt;span class=&quot;mord mathnormal&quot;&gt;re&lt;/span&gt;&lt;span class=&quot;mopen&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;dbconn, &quot;my_query&quot;, &#x27;SELECT * FROM shops WHERE name = </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">b</span><span class="mord mathnormal">co</span><span class="mord mathnormal">nn</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 mathnormal">p</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">g</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:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">c</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">o</span><span class="mord mathnormal">nn</span><span class="mord mathnormal">ec</span><span class="mord mathnormal">t</span><span class="mopen">(</span><span class="mord">&quot;</span><span class="mord mathnormal">d</span><span class="mord mathnormal">bnam</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:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal">ma</span><span class="mord mathnormal" style="margin-right:0.03588em;">ry</span><span class="mord">&quot;</span><span class="mclose">)</span><span class="mpunct">;</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">//</span><span class="mord mathnormal" style="margin-right:0.13889em;">P</span><span class="mord mathnormal">re</span><span class="mord mathnormal">p</span><span class="mord mathnormal">a</span><span class="mord mathnormal">re</span><span class="mord mathnormal">a</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:0.10764em;">f</span><span class="mord mathnormal">ore</span><span class="mord mathnormal">x</span><span class="mord mathnormal">ec</span><span class="mord mathnormal">u</span><span class="mord mathnormal">t</span><span class="mord mathnormal">i</span><span class="mord mathnormal">o</span><span class="mord mathnormal">n</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 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mathnormal">a</span><span class="mord mathnormal">re</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">ann</span><span class="mord mathnormal">o</span><span class="mord mathnormal">t</span><span class="mord mathnormal">a</span><span class="mord mathnormal">t</span><span class="mord mathnormal">i</span><span class="mord mathnormal">o</span><span class="mord mathnormal">n</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">se</span><span class="mord mathnormal">man</span><span class="mord mathnormal">t</span><span class="mord mathnormal">i</span><span class="mord mathnormal">cs</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">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 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:0.7778em;vertical-align:-0.0833em;"></span><span class="mord mathnormal">h</span><span class="mord mathnormal">t</span><span class="mord mathnormal">m</span><span class="mord mathnormal" style="margin-right:0.01968em;">l</span><span class="mord">&quot;</span><span class="mord mathnormal">a</span><span 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">0.6944</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:0.7335em;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">res</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:0.7335em;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:0.7335em;vertical-align:-0.0391em;"></span><span class="mord mathnormal">lt</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 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:0.7335em;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: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 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 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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">1.0361</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 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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:0.8889em;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;">g</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 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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 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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 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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">0.2861</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 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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">re</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 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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">p</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">a</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">re</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:1.038em;vertical-align:-0.2861em;"></span><span class="mord mathnormal">d</span><span class="mord mathnormal">b</span><span class="mord mathnormal">co</span><span class="mord mathnormal">nn</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord">&quot;</span><span class="mord mathnormal">m</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">y</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:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.03588em;">q</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2861em;"><span></span></span></span></span></span></span><span class="mord mathnormal">u</span><span class="mord mathnormal" style="margin-right:0.03588em;">ery</span><span class="mord">&quot;</span><span class="mpunct"><span class="mpunct">,</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:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.05764em;">SE</span><span class="mord mathnormal">L</span><span class="mord mathnormal" style="margin-right:0.13889em;">ECT</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:0.10903em;">FROM</span><span class="mord mathnormal">s</span><span class="mord mathnormal">h</span><span class="mord mathnormal">o</span><span class="mord mathnormal">p</span><span class="mord mathnormal">s</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">nam</span><span class="mord mathnormal">e</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span></span></span></span>1');// Execute the prepared query. Note that it is not necessary to escape // the string "Joe's Widgets" in any way <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>r</mi><mi>e</mi><mi>s</mi><mi>u</mi><mi>l</mi><mi>t</mi><mo>=</mo><mi>p</mi><msub><mi>g</mi><mi>e</mi></msub><mi>x</mi><mi>e</mi><mi>c</mi><mi>u</mi><mi>t</mi><mi>e</mi><mo stretchy="false">(</mo></mrow><annotation encoding="application/x-tex">result = pg_execute(</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">res</span><span class="mord mathnormal">u</span><span class="mord mathnormal">lt</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 mathnormal">p</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">g</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:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">e</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">x</span><span class="mord mathnormal">ec</span><span class="mord mathnormal">u</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mopen">(</span></span></span></span>dbconn, "my_query", array("Joe's Widgets"));// Execute the same prepared query, this time with a different parameter <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>r</mi><mi>e</mi><mi>s</mi><mi>u</mi><mi>l</mi><mi>t</mi><mo>=</mo><mi>p</mi><msub><mi>g</mi><mi>e</mi></msub><mi>x</mi><mi>e</mi><mi>c</mi><mi>u</mi><mi>t</mi><mi>e</mi><mo stretchy="false">(</mo></mrow><annotation encoding="application/x-tex">result = pg_execute(</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">res</span><span class="mord mathnormal">u</span><span class="mord mathnormal">lt</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 mathnormal">p</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03588em;">g</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:-0.0359em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">e</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">x</span><span class="mord mathnormal">ec</span><span class="mord mathnormal">u</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mopen">(</span></span></span></span>dbconn, "my_query", array("Clothes Clothes Clothes"));?>

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