Parametrization (geometry) (original) (raw)
في الفيزياء أي جسم في المعلم العطالي يستطيع رسم أي منحنى والرسم البيانى لايستطيع دائما إعطاء معادلة أي منحني نريد رسمه، ومنه يجب البحث عن طريقة جديدة لرسم المنحنيات الرياضية، هذه الطريقة تعرف بالتمثيل الوسيطي أو معادلة وسيطية وهي دالة ذات متغير t حيث و في فضاء إقليدي ثنائي الأبعاد ويمكن تعميم هذا المفهوم للفضاء الإقليدي ذي n بعدًا * بوابة الفيزياء * بوابة رياضيات * بوابة هندسة رياضية
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| dbo:abstract | في الفيزياء أي جسم في المعلم العطالي يستطيع رسم أي منحنى والرسم البيانى لايستطيع دائما إعطاء معادلة أي منحني نريد رسمه، ومنه يجب البحث عن طريقة جديدة لرسم المنحنيات الرياضية، هذه الطريقة تعرف بالتمثيل الوسيطي أو معادلة وسيطية وهي دالة ذات متغير t حيث و في فضاء إقليدي ثنائي الأبعاد ويمكن تعميم هذا المفهوم للفضاء الإقليدي ذي n بعدًا * بوابة الفيزياء * بوابة رياضيات * بوابة هندسة رياضية (ar) In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation. The inverse process is called implicitization. "To parameterize" by itself means "to express in terms of parameters". Parametrization is a mathematical process consisting of expressing the state of a system, process or model as a function of some independent quantities called parameters. The state of the system is generally determined by a finite set of coordinates, and the parametrization thus consists of one function of several real variables for each coordinate. The number of parameters is the number of degrees of freedom of the system. For example, the position of a point that moves on a curve in three-dimensional space is determined by the time needed to reach the point when starting from a fixed origin. If x, y, z are the coordinates of the point, the movement is thus described by a parametric equation where t is the parameter and denotes the time. Such a parametric equation completely determines the curve, without the need of any interpretation of t as time, and is thus called a parametric equation of the curve (this is sometimes abbreviated by saying that one has a parametric curve). One similarly gets the parametric equation of a surface by considering functions of two parameters t and u. (en) Parametrização é o processo de decisão e definição dos necessários para uma completa ou relevante de um modelo ou . Algumas vezes, pode somente envolver a identificação de certos parâmetros ou variáveis. Se, por exemplo, o modelo é de uma turbina eólica com um interesse particular na eficiência de geração de energia, então os parâmetros de interesse irão incluir o número, comprimento e passo entre as lâminas (pás). Mais frequentemente, parametrização é um processo matemático envolvendo a identificação de um conjunto completo de coordenadas efetivas ou graus de liberdade do sistema, processo ou modelo. Parametrização de uma linha, superfície ou volume, por exemplo, implica a identificação de um conjunto de coordenadas que permite unicamente identificar qualquer ponto (sobre a linha, superfície, ou volume) com uma lista ordenada de números. Cada uma das coordenadas pode ser definida parametricamente na forma de uma curva paramétrica (unidimensional) ou uma equação paramétrica (mais de duas dimensões). Criar parametrizações no sistema de consignado. (pt) 在數學中，更具體地講在幾何學中，參數化（英語：parametrization）是找到由參數方程定義的曲線、曲面或更一般地流形或蔟簇的參數方程的過程。逆過程稱為。“參數化”本身意味著“用參數來表達”。 參數化是一個數學過程，包括將系統、過程或模型的狀態表示為一些稱為參數的獨立量的函數。 系統的狀態通常由一組有限的坐標確定，因此參數化由每個坐標的幾個實變量的一個函數組成。 參數的數量是系統的自由度的數量。 (zh) |
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| rdfs:comment | في الفيزياء أي جسم في المعلم العطالي يستطيع رسم أي منحنى والرسم البيانى لايستطيع دائما إعطاء معادلة أي منحني نريد رسمه، ومنه يجب البحث عن طريقة جديدة لرسم المنحنيات الرياضية، هذه الطريقة تعرف بالتمثيل الوسيطي أو معادلة وسيطية وهي دالة ذات متغير t حيث و في فضاء إقليدي ثنائي الأبعاد ويمكن تعميم هذا المفهوم للفضاء الإقليدي ذي n بعدًا * بوابة الفيزياء * بوابة رياضيات * بوابة هندسة رياضية (ar) 在數學中，更具體地講在幾何學中，參數化（英語：parametrization）是找到由參數方程定義的曲線、曲面或更一般地流形或蔟簇的參數方程的過程。逆過程稱為。“參數化”本身意味著“用參數來表達”。 參數化是一個數學過程，包括將系統、過程或模型的狀態表示為一些稱為參數的獨立量的函數。 系統的狀態通常由一組有限的坐標確定，因此參數化由每個坐標的幾個實變量的一個函數組成。 參數的數量是系統的自由度的數量。 (zh) In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation. The inverse process is called implicitization. "To parameterize" by itself means "to express in terms of parameters". (en) Parametrização é o processo de decisão e definição dos necessários para uma completa ou relevante de um modelo ou . Algumas vezes, pode somente envolver a identificação de certos parâmetros ou variáveis. Se, por exemplo, o modelo é de uma turbina eólica com um interesse particular na eficiência de geração de energia, então os parâmetros de interesse irão incluir o número, comprimento e passo entre as lâminas (pás). (pt) |
| rdfs:label | تمثيل وسيطي (ar) Paramétrage (fr) Parametrization (geometry) (en) Parametrização (pt) 參數化 (幾何) (zh) |
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