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单词 differentiability
释义

differentiability /'difə,renʃiə'biləti/

英汉-汉英词典
n. 可辨性,可微性
词组 | 习惯用语
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  • differentiable adj. 可微分的；可鉴别的
differentiability n. [数] 可微性；可辨性

网络短语:
Differentiability theorem 可微性定理
uniform differentiability 一致可微
right differentiability 右可微性
differentiability property 可微性性质
continuous differentiability 连续可微性
approximate differentiability 近似可微性
differenzierbarkeit differentiability 可微性
finite differentiability 有限微分
stochastic differentiability 随机可微分性; 随机可微性;
原声例句
TED演讲（视频版）双语精选

Team and execution came in second, and the idea, the differentiability of the idea, the uniqueness of the idea, that actually came in third.

团队和执行力排在次位，然后是创意，创意的差异，或者说创意的独特性实际上排在第三位。

中文百科

可微函数 Differentiable function

（重定向自Differentiability）
一个可微函数的图像
魏尔斯特拉斯函数连续，但在任一点都不可微
Schwarz: Graph der Funktion fRot: Graph der linearen Funktion g, die f in der Nähe der Stelle x0 approximiert
Zur 2. Definition der Differenzierbarkeit

在微积分学中，可微函数是指那些在定义域中所有点都存在导数的函数。可微函数的图像在定义域内的每一点上必存在非垂直切线。因此，可微函数的图像是相对光滑的，没有间断点、尖点或任何有垂直切线的点。

一般来说，若X0是函数ƒ定义域上的一点，且ƒ′(X0)有定义，则称ƒ在X0点可微。这就是说ƒ的图像在(X0, ƒ(X0))点有非垂直切线，且该点不是间断点、尖点。

英语百科

Differentiable function 可微函数

（重定向自Differentiability）
A differentiable function
The absolute value function is continuous (i.e. it has no gaps). It is differentiable everywhere except at the point x = 0, where it makes a sharp turn as it crosses the y-axis.
An ordinary cusp on the cubic curve (semicubical parabola) x3 – y2 = 0, which is equivalent to the multivalued function f(x) = ± x3/2. This relation is continuous, but is not differentiable at the cusp.
Differentiable functions can be locally approximated by linear functions.

In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain. As a result, the graph of a differentiable function must have a (non-vertical) tangent line at each point in its domain, be relatively smooth, and cannot contain any breaks, bends, or cusps.
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