查询词典 mapping theorem

In this paper, according toinfinitesimal criterion in symmetry theorem, using differential Wu-method(char-set byMathematica software) and conditions of symmeties of equation u_=Hu_,we givenew potential symmetries for nonlinear telegraph equation u_=F

本文根据对称理论中的无穷小准则，利用微分形式的吴方法(借助于Mathernatica软件编写的求解微分特征列集的程序包)和u_=Hu_型方程对称的存在条件，得到了非线性电报方程u_=F

Theorem 3: the gradient of any point in the locus of foot point of the perpendicular line and the tangent line of the cylindrical spiral is , namely one-order tensor field.

定理3 由坐标原点至圆柱螺线的切线所引垂线的垂足轨迹上任一点的梯度为，即为一个一阶张量场。

In order to improve the accuracy in micromagnetic simulation of complex boundary, derived were the point function demagnetization tensor of equilateral triangular prisms in terms of the symmetry of the magnetic body and a theorem about demagnetization tensor.

针对数值微磁学中矩形网格处理复杂边界时计算精度较低的问题，利用磁体本身的几何对称性和退磁张量的性质，通过在实空间求积分的方法解析地推导了等边三棱柱的退磁张量。

Theorem 1 If the general term of the series is continuous on .and is unanimous convergent with the sum function on .

定理 1 如果级数的各项在区间上连续，且在区间上一致收敛于，则在上也连续。

Theorem 2 If the general term of the series is continuous on ,and is unanimous convergent with the sum function . Then

定理2 如果级数的各项在区间上连续，且在区间上一致收敛于，则级数在上可以逐项积分，即

By using the theorem of alternative,we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness.

Yang[1]引进了近似锥-次类凸集值映射的概念，其他广义凸集值映射都是它的特殊形式。最近，Sach[2]在集值优化问题中引进了一种广义鞍点，通常的Lagrange泛函的鞍点是它的一种特殊形式。

In the sense of weak effective solution,the problems of Lagrange duality and saddle point are discussed under the convexlike condition.An alternative theorem of the system containing a semidefinite constraint of a matrix function is established at first.

首先在似凸条件下建立了一个含矩阵函数半定约束系统的择一性定理，由此得到多目标半定规划及其在弱有效解意义下的Lagrange对偶理论，包括弱对偶、强对偶和逆对偶等。

I don't know the theorem .

我不知道那个定理。

It is no longer a theorem, it is now known.

这不再是一个定理，现在它是已知的。

You have only to think of his major theorem.

想一想他的主要定理。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。