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词汇 Odd function
分类 英语词汇 英语翻译词典
释义

Odd function

中文百科

奇函数与偶函数 Even and odd functions

（重定向自Odd function）
f(x) = x2，偶函数的一个例子
f(x) = x，奇函数的一个例子
Gráfica de una función par.
Gráfica de una función impar

在数学里，偶函数和奇函数是满足着相对于加法逆元之特定对称关系的函数。这在数学分析的许多领域中都很重要，特别是在幂级数和傅里叶级数的理论里。其命名是因为幂函数的幂的奇偶性满足下列条件：若n为一偶数，则函数x是偶函数，若n为一奇数，则为奇函数。

英语百科

Even and odd functions 奇函数与偶函数

（重定向自Odd function）
The sine function and all of its Taylor polynomials are odd functions. This image shows sin(x) and its Taylor approximations, polynomials of degree 1, 3, 5, 7, 9, 11 and 13.
The cosine function and all of its Taylor polynomials are even functions. This image shows cos(x) and its Taylor approximation of degree 4.
ƒ(x) = x2 is an example of an even function.
ƒ(x) = x3 is an example of an odd function.

In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series. They are named for the parity of the powers of the power functions which satisfy each condition: the function f(x) = x is an even function if n is an even integer, and it is an odd function if n is an odd integer.
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