Mathematical Terminology
2016-08-07.
Category & Tags:
Math,
Terminology
See also:
Terminology #
| English | Chinese | Notes |
|---|---|---|
| minuend − subtrahend = difference | 被减数 - 减数 = 差 | |
| arithmetic progression (AP) / arithmetic sequence | 等差数列 | |
| geometric progression (GP) / geometric sequence | 等比数列 | |
| derivative | 导数 | |
| turning point := at which the derivative changes sign | 极值点 := 导数正负分界点(导数为 0 且变号) | $f’=0$ && $f’(x-\delta) \cdot f’(x+\delta)<0$==单调性发生变化(但$x_0$处不一定可导) |
| stationary point / critical point, of a differentiable function := at which the derivative/slope is 0 | 可微函数 的 驻点 := 导数为 0 的点 | $f’=0$,$x_0$可导是前提. 极值点+可导=驻点 |
| saddle point (stationary points that are neither local maxima nor minima) | 鞍点 (既不是最大值，也不是最小值的驻点)(导数为 0,不变号) | $f’=0$ && $f’(x-\delta) \cdot f’(x+\delta)>0$ |
| inflection [point] == flex | 拐点/反曲点,（凹凸分界点） | $f’’=0$ && $f’’(x-\delta) \cdot f’’(x+\delta)<0$ == 曲率变号 |
| concave == convex upward | 凹函数(头向上,两腿向下) | $f’’>0$ |
| convex == concave upward | 凸函数(头向下,两腿向上) | $f’’<0$ |
