函数的奇偶性

我看这个关于函数的奇偶性的视频了。

https://www.youtube.com/watch?v=_hAety1yOc0&list=PLR1ACzwrLF_09MidJqluugHTHQCErNeSb&index=84

我已经知道奇函数和偶函数是什么，但我不知道这些运算性质。

因为叫做“奇偶”函数，如果有运算的性质，可以料想是奇偶数的运算性质同样。但是，反而是像奇函数是负数同样，且偶函数是正数同样。比如，正数乘以负数等于负数，所以偶函数乘以奇函数等于奇函数。

I watched this video about odd and even functions.

link

I knew what odd and even functions are, but I didn't know about these properties.

Since they're called "odd" and "even" functions, one may expect them to behave like odd and even numbers. Instead, however, they behave like if odd functions were negative numbers, and even functions were positive numbers.

For example, positive times negative equals negative. So an even function times an odd function will equal an odd function.