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- A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient. 用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法.
- termwise differentiable 逐项可微的
- The function is continuously differentiable. 函数是连续可微分的。
- They turn out to be differentiable at 0. 他们在0点也成为可微分的。
- Not all continuous functions are differentiable. 不是所有的连续函数都是可微的。
- termwise differentiation 逐项微分
- Every polynomial is differentiable, and so is every rational . 每个多项式都是可微的，而每个有理函数也是如此。
- AN INTRODUCTION TO DIFFERENTIABLE MANIFOLDS AND RIEMANNIAN GEOMETRY, REVISED. 微分流形与黎曼几何概论。
- Prove that if is differentiable on (a , b), then is continuous on (a , b). 第二部份：计算及证明题（每题10分，共四十分）
- W . M . Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry . Academic press , INC. 陈维桓：微分流形初步，高等教育出版社.
- The unknown displacement field is approximated by discontinuous, piecewisely differentiable functions. 用间断分片可微的函数来近似未知位移场。
- Conjugate gradient methods are efficient to minimize differentiable objective functions in large dimension spaces. 摘要共轭梯度方法是求解大规模优化问题的一种非常有效的方法。
- To every differentiable symmetry generated by local actions, there corresponds a conserved current. 每一种由局域作用所产生的对称性都对应一守恒流。
- The converse is not true: a function that's continuous at ' need not be differentiable there. 可能最常用的一个，在拓扑学中， 在条目连续函数 (拓扑学)中会有详细论述。
- If a function is differentiable at some point ' of its domain, then it is also continuous at '. 在一些数学学科中还有一些连续性的特殊用法。
- Stock prices are approximately brownian motion, which means they are everywhere continuous but nowhere differentiable. 股票价格接近于布朗运动，即处处连续而无处可微。
- BP is a forwardbroadcasting multiply-layer-network that trains the weight of the differentiable nonlinear functions. BP是对非线性可微分函数进行权值训练的多层前向网络。
- Recently,through its re-branding efforts,Hong Kong is inteading to differenti ate the city in the minds of outsiders. 香港最近在进行重新塑造自我形象的宣传活动，旨在使外人对香港有一个崭新的看法。
- Recently, through its re?branding efforts, Hong Kong is inteading to differenti ate the city in the minds of outsiders. 香港最近在进行重新塑造自我形象的宣传活动，旨在使外人对香港有一个崭新的看法。
- First the associated Hamilton-Jacobi-Bellman(HJB) equation is given, then its continuously differentiable solution is constructed. 首先给出了最优控制问题对应的Hamilton_Jacobi_Bellman方程 ;接着构造出了它的连续可微解 .
