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  l 2 space
     Some errors on Bernstein- Markov inequalities in L2 space in the paper of Min Guohua's(1992 ) are emended.
     纠正了闵国华 (1992年 )关于 L2 空间中的 Bernstein- Markov不等式的几个错误结果 .
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     This paper investigates the positivity of an integral operator (i.e. peierls integral operator) aring in transport theory of L 2 space, it proves that exists λ≤λ o such that peierls integral operator is positive operator, and peierls integral operator is indefinite when λ<λ o.
     本文在L2 空间研究迁移理论中出现的一类积分算子———peierls积分算子的正性 ,研究表明 :存在λ≤ 0 ,使得当λ≥λ0 时 ,peierls积分算子是正算子 ,当λ<λ0 时 ,peierls积分算子是不定的。
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     In this paper we have proved the orthogonality principle in L2 space and come to the conclusion that the principle is equivalent to Linear Minimum Mean - Square Error Estimation or Wiener Filtering. The continuous Wiener - Holf equation and error formula are derived from the principle.
     证明了L2空间中的正交性原理,得到正交性原理与线性最小均方误差估计与维纳滤波是等价的结论,并用正交性原理推导出连续型的维纳—霉夫方程及误差表达式。
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     By using the invertibility and boundedness of the operators in L2 space, the discussion of gradient-like of the system characterized by input output description is given.
     借助于L2空间上算子的可逆性及有界性,给出了输入输出框架下系统类梯度性的讨论。
     In this paper, a convergence theorem of L 2 Space is proved.
     本文将在L2 空间中研究Ishikawa迭代方程的收敛性 .
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  “L2空间”译为未确定词的双语例句
     This article will study the astringency of Ishikawa iterative equation in the space of L 2. [WT5”HZ]
     本文将在L2 空间中研究Ishikawa迭代方程的收敛性
短句来源
     In the paper we study the existence and uniqueness of solutions for the equation y″+f(t,y,y′)=0 with the boundary conditions u(a)=A, u(b)=B. By contraction mapping principle we get an optimum result in Banach space L 2(a,b) of the existence and uniqneness of solutions if f satisfies L 2 Caratheodory conditions. 
     考虑方程y″+f(t,y,y′)=0在边值条件y(a)=A,y(b)=B下解的存在唯一性.要求f满足L2-Caratheodory条件,在L2空间中利用压缩映象原理得到解唯一存在的最优结果.
短句来源
     The method uses a standard sinunoidal signal to abtain correction coefficients which exploits two properties of ideal I、Q signal, that is I and Q have the same norm and their inner product is zero in in L\+2 space in one period of the test signal.
     校正系数的求解利用理想I、Q信号的两个性质 ,即在一个测试信号周期内 ,I、Q信号在L2 空间上 ,范数相等 ,内积为零。
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     This paper obtains an analytic representation of Peano curve in the space l2.
     给出了l2空间中的Peano曲线的的解析表达式。
短句来源
     This paper proves the existence and uniqueness of generalized solutions of mixed problems for a nonlinear equation with Galerkin method.
     用Galerkin方法研究了一类一般非线性抛物方程的混合问题 ,在给定条件下得到了解的存在唯一性定理 ,并在此条件下得出其解在L2 空间连续依赖于初始条件。
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  相似匹配句对
     (2) effects of space protects;
     (2)空间保护作用;
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     ii. Elasticity.
     (2)弹性空间
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     2 ,I.
     2和I.
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     These suggest that MDM2 may play a specific role in the occurrence of gastric tumor.
     ·2·
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     2 dimension Halberd space at the same time.
     2维Hilbert空间
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  l 2 space
Some inequalities between best approximations and moduli of continuity in an L2 space
      
It is shown that this contradiction arises if we seek solutions in the L2 space and disappears if an L2 subspace with limited energy norm is selected as the space of solutions.
      
The Segal-Bargmann transform is then a unitary map from the L2 space over the space of connections to a holomorphicL2 space over the space of complexified connections with a certain Gaussian measure.
      
The improper eigenfunctions, which can be found in the wavenumbers for the branch cuts, are not in L2 space, so the definition of the energy integral requires some treatment.
      
Sufficient conditions are given to imply the existence of β>amp;gt;0 such that if λ≠0 is a point of the spectrum of D considered as an operator on the L2 space of the equilibrium distribution, then Re(λ)≦-β.
      
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  l_2 space
Some inequalities between best approximations and moduli of continuity in an L2 space
      
It is shown that this contradiction arises if we seek solutions in the L2 space and disappears if an L2 subspace with limited energy norm is selected as the space of solutions.
      
The Segal-Bargmann transform is then a unitary map from the L2 space over the space of connections to a holomorphicL2 space over the space of complexified connections with a certain Gaussian measure.
      
The improper eigenfunctions, which can be found in the wavenumbers for the branch cuts, are not in L2 space, so the definition of the energy integral requires some treatment.
      
Sufficient conditions are given to imply the existence of β>amp;gt;0 such that if λ≠0 is a point of the spectrum of D considered as an operator on the L2 space of the equilibrium distribution, then Re(λ)≦-β.
      
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  l_2 spaces
We use the theory of projections in L2 spaces and Poincaré inequalities, to provide a better understanding of the decrease in Fisher information implied by results of Barron and Brown.
      
We think of T(a) and Tn(a) as operators on l2 spaces.
      
We study the existence theory for parabolic variational inequalities in weighted L2 spaces with respect to excessive measures associated with a transition semigroup.
      
Elliptic operators with unbounded diffusion coefficients in L2 spaces with respect to invariant measures
      
In particular, several shift operators in L2 spaces are involved, which are well-known to be continuous in the space of L2 functions.
      
更多          
  l 2 spaces
We use the theory of projections in L2 spaces and Poincaré inequalities, to provide a better understanding of the decrease in Fisher information implied by results of Barron and Brown.
      
We think of T(a) and Tn(a) as operators on l2 spaces.
      
We study the existence theory for parabolic variational inequalities in weighted L2 spaces with respect to excessive measures associated with a transition semigroup.
      
Elliptic operators with unbounded diffusion coefficients in L2 spaces with respect to invariant measures
      
In particular, several shift operators in L2 spaces are involved, which are well-known to be continuous in the space of L2 functions.
      
更多          


There may be strong discontinuities in the solutions of quasilinear degenerate elliptic equations. Therefore, in general , it is impossible to discuss these solutions in Sobolev spaces. In this paper, the existence and uniqueness of generalized solutions of the first boundary value problem for a class of quasilinear degenerate elliptic equations are established in BV∩L.In addition a sufficient condition under which the solution belongs to W is obtained.

拟线性退缩椭圆方程的解一般可有强间断,因而一般不能在Sobolev空间进行讨 论。本文在BV∩L空间对一类拟线性退缩椭圆方程的第一边值问题建立了广义解的 存在性与唯一性。此外,还得到使解属于Sobolev空间W的一个充分条件。

We consider the nonlinear integral equationarising in the transport theory, where ψ∈L',ψ(x)≥0; k ∈L' , 0≤k(x)≤1 and mes {X|k(x)=c| =0 c ∈[0,1] and a is a positive parameter. Our main result is the following theorem.Theorem. The equation has two non-negative solutions in Lt if and only if 0 α||ψ||<1/2 and there exists β>0 such that

迁移理论中的一类非线性积分方程u(x)=ψ(x)+au(x)∫~1_0(k(x)u(y))/(k(x)+k(y))dy(*),其中ψ∈L’,ψ(x)≥0;0≤k(x)≤1,k∈L’且mes{x│k(x)=c}=0,c∈[0,1];α为正的实参数。本文的主要结果是下面的定理。 定理、方程(*)在L’空间里有且仅有两个非负解的充要条件是:00使∫~1_0(ψ(x))/(1-β~2k~2(x))dx=(2a)~-。

The I. Prigogine' s wish of esteablishing the relations of physics to biology and, such as sociology has come ture. The general rules of dissipative systems from one structure to other structures, such as evolution direction, evolution drive force. damping and the three laws are put up. The mathematics model of C.T set and L space to join determinism with indeterminism is set up for describing the structure evoluion of dissipative systems. The concepts of sociological science and biological science, such as...

The I. Prigogine' s wish of esteablishing the relations of physics to biology and, such as sociology has come ture. The general rules of dissipative systems from one structure to other structures, such as evolution direction, evolution drive force. damping and the three laws are put up. The mathematics model of C.T set and L space to join determinism with indeterminism is set up for describing the structure evoluion of dissipative systems. The concepts of sociological science and biological science, such as struggle for existence, natural selection, productive forces, relations of production and superstructure, are expressed by physical ideas.

普里高津指出:对非平衡的研究“可能会有希望从中探索出自然科学与生物、人文科学之间的联系。”本文为了实现普里高津的这种愿望,建立物理学与生物、社会科学本质的联系,提出了系统从一种耗散结构向另一种耗散结构演化的一般规律,即结构演化的方向、驱动力、结构改变的阻尼;提出了耗散系统结构演化的三定律。讨论了结构演化的媒介等问题。提出了演化压等新的概念。产生了决定论和非决定论互补的数学模型—C、T集合,L空间,用以描述耗散系统演化发展的定量规律。用自然科学的语言对生物进化、人类社会发展勾划了一幅物理图象。赋予了生物生存斗争、用进废退及生产力和生产关系、经济基础和上层建筑等生物及社会科学名词以物理学含义。

 
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