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新定理
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  new theorem
     On the New Theorem of the Convergence and Divergence of L_ω
     论L_ω敛散性的新定理
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     In this paper a new theorem is given by the (H)mean of Fourier series and Tchebycheff-Fourier series.
     用Fourier级数和Tchebycheff -Fourier级数的 (H)算子 ,证明了一个新定理 .
短句来源
     A New Theorem Deducing from the Completion of Hanusse's Theorem
     由Hanusse定理的完整化而导出一个新定理
短句来源
     A NEW THEOREM DEDUCED FROM THE COMPLETION OF HANUSSE'S THEOREM
     由Hanusse定理的完整化而导出一个新定理
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     It is observed that the new theorem is a further extension and perfection of Green's formula.
     可以看出,该新定理是Green公式的进一步推广与完善。
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  new theorems
     New Theorems on a Rigid Subchain
     关于刚性子链的新定理
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     Two New Theorems in the Stability Theory
     稳定性理论中两个新定理
短句来源
     In this article is introduced the concept of the uniformly derivable character of the function , with which the conditions of some important theorems in mathematical analysis are transformed so as to make the new theorems either have obviously weaker conditions, or have special functions in some cases.
     本文引进函数一致可导性概念,并以此改造数学分析中若干重要定理的条件,使所得到的新定理或者条件明显减弱,或者在某些场合具有独到的作用.
短句来源
     Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
     建立了以有限群的极大子群的指数复合刻划可解性的两个新定理
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     Some new theorems about Kirchhoff matrix of a graph are proved These theorems are very important to calculate to number of spanning trees and to analize the reliability of network
     证明了几个关于克希霍夫矩阵的新定理这些定理对于图中树的数目计算及其在网络可靠性中的作用都是很有意义的
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  new lemma
     Treating uncertain parameters as exogenous disturbance,robust H_∞ filtering problem for uncertain time-varying sampled-data system is converted to deterministic H_∞ filtering problem for time-varying sampled-data system without uncertainty. By using bounded real lemma for linear system with finite discrete jumps,a new lemma to robust H_∞ filtering for uncertain time-varying sampled-data system is proposed.
     视参数不确定性为外部扰动,通过构造辅助信号,将不确定时变采样数据系统的鲁棒H∞滤波转化为确定性时变采样数据系统的H∞滤波问题,然后利用离散跳变系统的有界实引理,提出了不确定时变采样数据系统的鲁棒H∞滤波的新定理
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  “新定理”译为未确定词的双语例句
     2. Right and left inverse matrices of parameter matrices are proposed and their updating formulae are also derived.
     尤其是参数矩阵发生变化时的新算法,新公式和新定理。 2.本文也给出了参数矩阵的右逆公式和左逆公式,以及它们的校正公式
短句来源
     In order to accelerate the classical method's convergence rate and to improve the efficiency of the calculation, two new structure displacement expansion theorems are introduced.
     为了加速经典方法的收敛速度、提高计算效率,进一步介绍两个新的结构位移展开定理(采用固定界面模态的位移展开新定理,给出采用低阶固定界面模态的高精度位移展开式;采用混合模态的位移展开新定理,给出采用低阶混合模态表示的高精度位移展开式)和相应的动力学新解法.
短句来源
     In this paper, through treating lines reciprocal transformation to a matrix, cogradiently reach the eigenvalue and eigenvector of a matrix, to solve the question treat a eigenvalue under without parameters, and given some advanced theorems.
     通过对矩阵进行行列互逆变换,同步求出矩阵特征值及特征向量,解决了不带参数求特征值问题,并给出一些新定理.
短句来源
     The New Integrable Theorem of Riccati Eguation
     Riccati方程的可积新定理
短句来源
     In the paper, we give the determination theorems and inferences about the positive and negative definite of quadratic form in some conditions base on literature[1], and thus extend the positive definite nature of quadratic form.
     对二次型的正定性研究已取得丰硕成果,并为众多科学所应用.随着应用问题的研究,会遇到二次型在条件下的正定、负定问题,在文献[1]的基础上给出了二次型在某种条件下正定、负定性判别的新定理及推论,从而推广了二次型的正定性
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  new theorem
In this paper, we prove a new theorem concerning representation of discrete time martingales, which is based on solving a specially chosen problem of optimal control with random sequences.
      
Simultaneously, a new theorem on the existence of global weak solutions is deduced.
      
On fully quantum kinetic equations for BEC, new theorem on nonpolynomial averages, and new special numbers enumerating one-cycle
      
The authors first define the distance between a pixel and a cluster, and then derive a new theorem to estimate the number of samples needed for clustering.
      
In this article we present a new theorem that reduces the stability problem of teleoperators from a structured singular value problem to a maximum singular value problem.
      
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  new theorems
As an application we prove new theorems concerning stability offrames (and frame-like decompositions) under perturbation in both Hilbert spaces and Banach spaces.
      
A number of new theorems on comparability, related to Muirhead's Theorem, are proven.
      
As an application we obtain new theorems on the solvability of Hammerstein's equation.
      
New theorems of Helly type are proved concerning the intersection of convex cones with a common vertex or, equivalently, the intersection of sets on a sphere which are convex in the sense of Robinson.
      
The paper contains new theorems concerning the Frobenius problem, belonging to additive number theory, and using continued fractions.
      
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  new lemma
One of the results of this study is the isolation of a new lemma (Lú) ānt- "equal", which might be related to the Luvian hapax aiauala- in the Tawagalawa Letter.
      
The key of the proof is a new lemma that allows an extension of u by a reflection construction.
      
As a consequence, we get a new lemma of Dvoretzky-Rogers type, where the contact points of the unit ball with its maximal volume ellipsoid play a crucial role.
      
When a Modoc process finds a new autarky or a new lemma, it makes the information available to other Modoc processes via a "blackboard".
      
This paper describes new "lemma" and "cut" strategies that are efficient to apply in the setting of propositional Model Elimination.
      
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A new theorem have been deduced from the completion of Hannsse's theorem. It states: "If reactants in the intermediate reaction are not more than two kinds and the numbers of molecule taking part in any one reaction are not more than two, then it is not possible that a steady state arrives at a limit cycle''.

本文论述了非平衡统计热力学中Hanusse定理的完整化问题,并由此引导出一个新定理:“如果中间反应物至多只有两种,参加每一步反应至多只有两分子,则不可能由一个定态到达任何一个极限环。”

This paper discusses the problem about the moment centre of the theorem of the change in the,angular momentum.The conditions of the theorem of the change in the angular momentum about different moment centres are specified.A new theorem is introduced and its proof is also presented.Moreover,some examples are given to illustrate further the use of this new theorem

本文着重讨论了质点系动量矩定理的矩心问题,给出相对于不同矩心的动量矩定理的应用条件。同时,提供并证明了一个新定理,举例说明了这一新定理的应用。

In this paper, we gave a short proof of the singular value decomposition for the quaternion, matrices and proved:Theorem 2 Let (?) be the quaternion field, A∈(?)~(mxm) then A =σ_1U_1+σ_2U _2 +…+σ_k U_k, where σ_1 σ_2,…, σ_k are all different non-nil singular values of A, and U_1=σ_t~(-1) A(I(?)-(A~*A-σ_t~2 I_n)((A~*A-σ_t~2 I_n)~2) (A~* A-σ_t~2, I_n)), t=1, …, k.Theorem 3 Let A_1, …, A_(?)∈(?)~(mxm), then the following properties are equivalent:(i) There exist U∈U~(mxm), V∈U~(mxm) such that all of UA_(?)V~* are...

In this paper, we gave a short proof of the singular value decomposition for the quaternion, matrices and proved:Theorem 2 Let (?) be the quaternion field, A∈(?)~(mxm) then A =σ_1U_1+σ_2U _2 +…+σ_k U_k, where σ_1 σ_2,…, σ_k are all different non-nil singular values of A, and U_1=σ_t~(-1) A(I(?)-(A~*A-σ_t~2 I_n)((A~*A-σ_t~2 I_n)~2) (A~* A-σ_t~2, I_n)), t=1, …, k.Theorem 3 Let A_1, …, A_(?)∈(?)~(mxm), then the following properties are equivalent:(i) There exist U∈U~(mxm), V∈U~(mxm) such that all of UA_(?)V~* are diagonal with nonnegative diagonal entries, i=1, …t;(ii) All the matrices A, A_q~* and A_p~*A_(?) are the positive semidefinite self-conjugate matrices of quaternions, p, q=1, …, t;(iii) There exist an ordering σ_(p1), …, ~σpmin(m,n) of the singular values of A_p, p=1, …, t, such that for all nonnegative real numbers x_1 …, x, the singular values of are q=1,2, …, min(m, n).

本文给出了四元数矩阵的奇异分解的一个简短证明,并且证得两个新定理(定理2、3)。

 
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