| 单词 | 函数 |
| 释义 | 〔derivative〕The instantaneous rate of change of a function with respect to its variable.函数随其变量的即时变化率〔differential〕The product of the derivative of a function containing one variable multiplied by the increment of the independent variable.微分：用独立变量乘以含有一个度量的函数，然后对其求导所得的结果〔discontinuity〕A point at which a function is defined but is not continuous.不连续点：函数有定义但不连续点〔curve〕The graph of a function on a coordinate plane.曲线图：一种能在坐标平面上表示某一函数的图形〔calculus〕The branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables.微积分学：数学的一个分支，处理单变量或多变量函数的极限、微分以及积分问题〔function〕A rule of correspondence between two sets such that there is a unique element in the second set assigned to each element in the first set.函数：两组元素一一对应的规则，第一组中的每个元素在第二组中只有唯一的对应量〔graph〕A diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship. Also called plot 图：表示两组数的关系，通常为函数关系的图，如由这种关系确定一系列有坐标的点 也作 plot〔extreme〕A maximum or minimum value of a function.极大值，极小值：函数的最大值或最小值〔maximum〕The greatest value assumed by a function over a given interval.极大值：在给定区间内的函数最大值〔graph〕To plot (a function) on a graph.将（一个函数）绘制在图上〔domain〕The set of all possible values of an independent variable of a function.定义域：函数自变量的所有可能值的集〔Hamiltonian〕A mathematical function that can be used systematically and with great generality to generate the equations of motion of a dynamic system, equal for many such systems to the sum of the kinetic and potential energies of the system expressed in terms of the system's coordinates and momenta treated as independent variables.汉密尔顿函数：一个数学函数，它可以被用来系统地、概括性地列出一个运动系统的动力变化率，以作为独立变量的该系统的坐标和动量来表示该系统的动能和势能的和〔integrand〕A function or an equation to be integrated.被积函数：被积分的函数或方程〔function〕A variable so related to another that for each value assumed by one there is a value determined for the other.应变量，函数：一个与他量有关联的变量，这一量中的任何一值都能在他量中找到对应的固定值〔algebraic〕Designating an expression, an equation, or a function in which only numbers, letters, and arithmetic operations are contained or used.代数学的：指定一个表达式、等式或函数，其中只包括或只运用数字、字母或数学运算的〔discontinuity〕A point at which a function is undefined.无定义点：函数没有定义的一点〔bijection〕A function that is both one-to-one and onto.双射：一对一且映成的函数〔hyperbolic〕hyperbolic cosine.双曲线函数之余弦〔derivative〕The limiting value of the ratio of the change in a function to the corresponding change in its independent variable.导数：函数相应其自变量的变化率的有限值〔zero〕An argument at which the value of a function vanishes.（坐标的）起点：函数自变量的值等于零〔hyperbolic〕Of or relating to a hyperbolic function:属于或与双曲线函数有关的：〔functional〕Of, relating to, or indicating a mathematical function or functions.函数的：一个或多个数学函数的、与此有关的或精于此的〔Bessel〕Prussian astronomer who recalculated the orbit of Halley's comet (1804), verified by parallax the distance from the earth to the twin star 61 Cygni (1838), and developed a class of mathematical functions based on his study of planetary perturbation.贝塞耳，弗雷德里希·威廉：(1784-1846) 普鲁士天文学家，重新测量了哈雷彗星轨道（1804年），通过视差核实地球到双子星座61──天鹅星座的距离（1838年），在其行星摄动研究的基础上发展了一种数学函数 |
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