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quadrature    
n. 求面積,矩,弦

求面積,矩,弦

quadrature
正交; 求面積; 求積分

quadrature
正交 求積

quadrature
n 1: the construction of a square having the same area as some
other figure

Quadrature \Quad"ra*ture\, n. [L. quadratura: cf. F. quadrature.
See {Quadrate}, a.]
1. (Math.) The act of squaring; the finding of a square
having the same area as some given curvilinear figure; as,
the quadrature of a circle; the operation of finding an
expression for the area of a figure bounded wholly or in
part by a curved line, as by a curve, two ordinates, and
the axis of abscissas.
[1913 Webster]

2. A quadrate; a square. --Milton.
[1913 Webster]

3. (Integral Calculus) The integral used in obtaining the
area bounded by a curve; hence, the definite integral of
the product of any function of one variable into the
differential of that variable.
[1913 Webster]

4. (Astron.) The position of one heavenly body in respect to
another when distant from it 90[deg], or a quarter of a
circle, as the moon when at an equal distance from the
points of conjunction and opposition.
[1913 Webster]

{Quadrature of the moon} (Astron.), the position of the moon
when one half of the disk is illuminated.

{Quadrature of an orbit} (Astron.), a point in an orbit which
is at either extremity of the latus rectum drawn through
the empty focus of the orbit.
[1913 Webster]

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  • Quadrature (geometry) - Wikipedia
    In mathematics, quadrature is a historic term for the computation of areas and is thus used for computation of integrals The word is derived from the Latin quadratus meaning "square" The reason is that, for Ancient Greek mathematicians, the computation of an area consisted of constructing a square of the same area
  • [数值计算] Quadrature求积法 - 知乎 - 知乎专栏
    如果是选择n等分，一共n+1个插值点拟合一个n阶多项式的话，就是 Newton-Cotes Quadrature 。 如果n=1，相当于用一条直线拟合，或者说 trapezoid rule ， Q_1(f) = \frac{f(a) + f(b)}{2}
  • quadrature是什么意思_quadrature的翻译_音标_读音_用法_例句_爱词霸在线词典
    爱词霸权威在线词典,为您提供quadrature的中文意思,quadrature的用法讲解,quadrature的读音,quadrature的同义词,quadrature的反义词,quadrature的例句等英语服务。
  • Quadrature - 搜索 词典
    必应词典为您提供Quadrature的释义，美['kwɒdrətʃə]，英['kwɒdrətʃə]，n 【物】正交；转象差；九十度相位差；【数】求积分； 网络释义： 求积法；求面积；方照；
  • quadrature - 百度百科
    在数学领域，quadrature指求面积或积分的方法，包括高斯求积公式和微分求积法的应用。 天文学中，该词描述天体间形成90度角的位置关系，如月相上下弦和行星方照。
  • 高斯求积 - 维基百科，自由的百科全书
    高斯求積，又稱高斯數值積分，（英語： Gaussian quadrature ），是以德国 数学家 卡尔·弗里德里希·高斯所命名的一种数值积分中的求积规则。
  • Gauss型（Gaussian quadrature）求积公式和方法 - CSDN博客
    在数值计算领域，高斯积分（Gaussian Quadrature）是一种高效且精确的求解一维或高维区域上的定积分的方法。 在这个特定的案例中，我们关注的是在二维空间中的三角形区域上应用高斯积分，即“ Gaussian Quadrature for
  • Quadrature | Integral Calculus, Complex Numbers Geometry - Britannica
    quadrature, in mathematics, the process of determining the area of a plane geometric figure by dividing it into a collection of shapes of known area (usually rectangles) and then finding the limit (as the divisions become ever finer) of the sum of these areas
  • Numerical Methods I: Numerical Integration Quadrature
    quadrature is weakly singular at t = ±1, so that the trapezoidal rule is not applicable Of particular interest are the Gauss-Hermite and the Gauss-Laguerre quadrature, which allow the approximation of integrals over infinite intervals (and even solve exactly for polynomials P E P 2n+1)'
  • Quadrature - Wikipedia
    Quadrature (astronomy), the position of a body (moon or planet) such that its elongation is 90° or 270°; i e , the body-earth-sun angle is 90°





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