The uniqueness theorem in the linear isotropic nonuniform medium is proved.
证明了非均匀各向同性线性介质中的唯一性定理。
The uniqueness theorem of monopolar ion flow fields is first discussed and proved.
本文首次讨论了单极性离子流场的唯一性定理，并作了理论证明。
The authors also proved the uniqueness theorem on structure decomposition of right complete semigroups.
作者证明了右完全半群的结构分解唯一性定理。
In particular, the second uniqueness theorem for normal L-fuzzy decompositions of the L-fuzzy ideals is given.
特别是对L模糊理想数的正规l模糊分解给出了第二个唯一性定理。
The uniqueness theorem is applied in the phenomenon that static electric field is shielded, it explains the phenomenon.
本文运用唯一性定理解释了静电屏蔽现象，并分析讨论了解决实际问题的静电屏蔽原则及其应用。
The uniqueness theorem is applied in the phenomenon that static electric field is shielded, it explains the phenomenon.
有导体存在时的唯一性定理是求解静电场问题的主要依据。
Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.
用基于度理论的不动点定理，建立了一系列存在唯一性定理。
A general uniqueness theorem for a static magnetic field is presented. The statements of the theorem in some special cases are discussed.
给出了场内充以线性介质时，多边界面复连通区域内的静磁场唯一性定理，并讨论了在一些特殊情况下定理的表述。
In this paper an existence and uniqueness theorem for non-linear two-point boundary value problem is proved by means of Kantorovich 's theorem.
本文利用康托·洛维奇定理证明了非线性两点边值问题的一个存在唯一性定理。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
Using the uniqueness theorem for boundary value problem of steady magnetic field and Weierstrass theorem, the unique choice of image electric current is discussed.
利用稳恒磁场边值问题解答的唯一性定理和维尔斯特拉斯定理讨论了镜象电流选择的唯一性。
According to uniqueness theorem, the integral formulations of the first class boundary condition and the second class boundary condition are given form the above integral formulation.
根据边值问题的唯一性原理，由此积分解表达式给出了第一类和第二类边界条件的积分解表达式。
This paper points out in Yang Le concering the uniqueness theorem of meromorphic function, circumstance of the six sets also may be precision and the fivesets be precision still further.
对杨乐关于亚纯函数的唯一性定理中六个集的情况，也可以精确化，对于五个集的情 况还可以进一步精确化。
The uniqueness theorem of generalized quasi-analyticity of the infinitely differentiable functions in some closed angular domain is extehded to the functions of several complex variables.
摘要把无穷可微函数类在角形闭区域上的唯一性结果推广到了多维情形。
It indicates that singular solution exists in solving problems of elasticity, which is inconsistent to the theorem of uniqueness of solution.
结果表明，在弹性力学问题中存在奇异解的情况，这与弹性力学解的唯一性定理是不一致的。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
By the second main theorem for non-constant holomorphic curves with moving targets without counting multiplicity, the uniqueness problem of holomorphic curves is discussed.
利用非常数全纯曲线涉及活动超平面的截断型第二基本定理，讨论了全纯曲线的唯一性问题。
A simple and direct proof of decomposition theorem of complex functions has been provided, and Uniqueness of the decomposition has been proved.
给出了复变函数分解定理的简捷证明，并证明了分解的唯一性。
Starting from Helmholtz's theorem, the uniqueness conditions of scalar field are obtained based on the fact that the scalar field can be regarded as a special example of vector field.
将标量场视为矢量场的一种特例，从亥姆霍兹定理出发导出标量场的唯一性条件。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
Theorem 1 (Uniqueness of Limit) If the sequence is convergent, then its limit is unique.
定理1（极限的唯一性）如果数列收敛，那么它的极限唯一。
Two theorems about the transitions are presented. The uniqueness of transition from the first manner to the second manner is illustrated by the theorem 1.
定理1阐明了从第一种方法向第二种方法转换的唯一性，而定理2及例子则说明了从第二种方法向第一种方法转换的非唯一性。
The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
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