“parameterization”的概念、定义、习题解题方法及翻译-数学辞典

单词

parameterization

释义

parameterization

(of a curve) A method of associating, with every value of a parameter t in some interval I (or some other subset of R), a point P(t) on the curve such that every point of the curve corresponds uniquely to some value of t. Often this is done by giving the x- and y-coordinates of P as functions of t, so that the coordinates of P may be written (x(t), y(t)). The equations that give x and y as functions of t are parametric equations for the curve. For example, x = at2, y = 2at (t ∈ R) are parametric equations for the parabola y2 = 4ax; and x = acosθ, y = bsinθ (θ ∈ [0, 2π)) are parametric equations for the ellipse

The gradient dy/dx of the curve at any point can be found, if x′(t) ≠ 0, from dy/dx=y′(t)/x′(t).

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数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。