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quadrature    
n. 求面积,矩,弦

求面积,矩,弦

quadrature
正交; 求面积; 求积分

quadrature
正交 求积

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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  • Lecture 14: Quadrature - Kent
    The approximation of an integral by a numerical method is commonly referred to as quadrature In Calculus one discusses many techniques for determining an antiderivative of f(x) The integral is then computed by evaluating the antiderivative at the endpoints of the interval
  • Quadrature -- from Wolfram MathWorld
    The word quadrature is also used to mean squaring: the construction of a square using only compass and straightedge which has the same area as a given geometric figure
  • Quadrature (mathematics) - 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"
  • 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
  • Quadrature - Virginia Tech
    There are some circumstances in numerical computations where it is easier to use a quadrature rule to evaluate the integral of a polynomial, rather than computing the integral directly from the polynomial coefficients
  • What Is Quadrature and Why Is It Essential? - Engineer Fix
    Quadrature refers to determining the area of a plane geometric figure or computing an integral Historically, it involved constructing a square with the same area as a given figure, hence its name from the Latin “quadratus” (square)
  • Quadrature: Calculus II Study Guide | Fiveable
    Quadrature is the process of approximating the area under a curve using numerical integration techniques It involves dividing the region into smaller segments and applying mathematical formulas to estimate the total area
  • QUADRATURE Definition Meaning | Dictionary. com
    QUADRATURE definition: the act of squaring See examples of quadrature used in a sentence
  • Quadrature - UTEP
    Gauss Quadrature Derivation of Gauss-3 point quadrature formula b f(x) dx ≈ PN i=1 [w1hf(xi−1 + r1h) + w2hf(xi−1 + r2h) + w3hf(xi−1 + r3h)] To make the algebra simpler, let’s take a = −1, b = 1, N = 1, h = 2:





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