设函数y= f(x),若自变量在点x的改变量Δx与函数相应的改变量Δy有关系Δy=A×Δx+ο(Δx),其中A为不依赖Δx的常数,ο(Δx)是比Δx高阶的无穷小。则称函数f(x)在点x可微,并称AΔx为函数f(x)在点x的微分,记作dy,即dy=A×Δx,当x= x0时,则记作dy∣x=x0。
adj. differentiable
浅谈导数与微分的关系_科教文汇(上旬刊)_2012-2_91阅读网杂志文章阅读 关键词 导数 可微 微分 [gap=278]Key words derivatives;differentiable;differentiation
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可微函数 [数] differentiable function
可微性 [数] differentiability ; derivability
二次可微函数 [数] twice differentiable function
可微的 [数] differentiable ; derivable ; differenzierbar differentiable
连续可微的 [数] continuously differentiable
可微分的 differentiable
弱可微函数 [数] weakly differentiable function
右方可微的 right side differentiable ; right hand differentiable
完全可微函数 [数] totally differentiable function
In chapter 3,the Cauchy-Pompeiu formula of r times continuously differentiable functions defined over bounded domains in Rn and with values in Clifford algebra C(Vn,0)is developed and higher order Cauchy integral formula,mean value theorem,Cauchy inequality of k-regular functions are studied.
在第三章中讨论了定义于Rn中的有界域上取值于Clifford代数C(Vn,0)的r次连续可微函数的Cauchy-Pompeiu公式及k-正则函数的高阶Cauchy积分公式,平均值定理,Cauchy不等式等。
参考来源 - Clifford分析中的k·2,447,543篇论文数据,部分数据来源于NoteExpress
因此大多数我们会遇到的函数都是可微的。
我们说一个函数是可微的,如果这些偏导数存在。
And, we say that a function is differentiable if these things exist.
也就是,向量场是连续的,且在曲面s上处处可微。
That means you need your vector field to be continuous and differentiable everywhere on the surface s.
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