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临界
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  critical
    Hardy's Inequalities and Some Elliptic Equations with Critical Potentials
    Hardy不等式与某些含临界位势的椭圆型方程
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    THE CRITICAL PARAMETER AND FLUX OF THE THREE-DIMENSIONAL TRANSPORT EQUATION
    三维迁移方程的临界参数与临界通量
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    ON STABILITY THEORY OF POPULATION SYSTEMS AND CRITICAL FERTILITY RATES OF WOMEN
    人口系统的稳定性理论和临界妇女生育率
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    The Critical Behavior of the Anisotropic Q Model
    各向异性Q模型的临界行为
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    Critical Fertility Rate of Women in Population Problem
    人口问题中的妇女临界生育率
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  “临界”译为未确定词的双语例句
    CRITICALLY 2-EDGE-CONNECTED GRAPHS
    临界2-棱-连通图
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    THE SAMPLE-ACCUMULATIVE MONTE CARLO METHOD IN NEUTRON-CRITICAL PROBLEMS
    中子临界问题的样品累加蒙特卡洛方法
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    On the Constructions of Critically 2-Connected Graphs
    关于临界2连通图的结构
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    A METHOD OF CONSTRUCTION CRITI CALLY OF 2-CONNECTED GRAPHS
    临界2-连通图的构造
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    A THEOREM ON 1-FACTORS OF INFINITE 1-CRITICAL GRAPHS
    关于无穷—临界图1-因子的一个定理
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  critical
We show that the structure of a block outside the critical hyperplanes of category O over a symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules.
      
We also prove the uniqueness of Verma embeddings outside the critical hyperplanes.
      
Using the matrix approach we prove that the sequence of sampling functions is always complete in the cases of critical sampling and oversampling.
      
An important example is the Moser-Trudinger inequality where limiting Sobolev behavior for critical exponents provides significant understanding of geometric analysis for conformal deformation on a Riemannian manifold [5, 6].
      
On Generating Tight Gabor Frames at Critical Density
      
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In the statistical theory of superlattices in binary alloys, the dependence of the interaction energy upon atomic arrangements is taken into account by regarding the interaction energy in Bethe's theory as an average quantity depending on the degree of order and the composition of the alloy. Two simple assumptions concerning the functional relationship of the interaction energy with order and composition are made. The first is a linear function of order and composition. The second is a linear function of the...

In the statistical theory of superlattices in binary alloys, the dependence of the interaction energy upon atomic arrangements is taken into account by regarding the interaction energy in Bethe's theory as an average quantity depending on the degree of order and the composition of the alloy. Two simple assumptions concerning the functional relationship of the interaction energy with order and composition are made. The first is a linear function of order and composition. The second is a linear function of the average numbers of pairs of atoms. The result of applying these assumptions to superlattices of the type AB is that the critical temperature as a function of the composition is a maximum for equal sumber of A and B atoms only when a certain relation between the coefficients in the assumed function is satisfied. In the cass of superlattices of type AB3 the theory of Bragg and Williams is used for simplicity. It is shown that when the composition varies, the maximum of the critical temperature may occur at any desired composition by a suitables adjustment of the coefficients in the assumed functions. There is thus a hope of removing the discrepancy between theory and experiment on this line. The anomalous specific heat at the critical temperature is also calculated for different compositions. In the case of the AB type of superlattices, Bethe's formula for the energy is no longer valid, and in order to calculate the specific heat, an approximate formula for the energy is obtained by analogy with the theory of Bragg and Williams. Finally, the problem of separation into more than one phase is briefly discussed.

在二元合金超格之统计力学理论中,原子间互作用能量,因原子之排列不同而异,其所生之影响,吾人擬於此篇中讨论之。吾人认为有Bethe氏理论中之相互作用能量,实为一平均值,其值因合金之秩序程度及其成分而异。吾人作二简单假设:一设相互作用能量为秩序及成分之线性函数,另一设其与原子对偶之数成线性函数。将此等假设应用於AB类之合金,则必须在所设函数中之系数间,有适当关系,合金之临界温度,始在成分为1:1时,有极大值。在AB_3类之合金,吾人乃应用Bragg及Williams二氏之理论以求简便。於此可证明若所设函数中之系数,可任意调整则所计算出之临界温度之极大值可在任何成分发生。故关於此点理论与实验不合之处,可望解决。又合金之反常比热,亦经算出。在AB类之合金,Bethe氏原来之能量公式不復可用,故另用与Bragg及Williams理论比较而得之公式计算。又关於合金可分为二相或多相之问题,此篇亦大略论及。

General formulas for the. critical temperature and the discontinuity of the ipecific heat of a, superlattice are obtained by the generalized quasi-chemical method, The results may be applied to any approximation.

本文应用推广准化学方法求得二元超格结晶在任何几近计算中之临界温度及比热突变公式。

Wang's generalization of Bethe's theory of snperlattices is applied to the cases of quadratic and simple cubic lattice. Only neighbour interaction is taken into consideration. All the calculations are carried out to the second approximation.

本文应用王氏之理论於平面方格及立方格中AB型超格。所有计算皆作到第二次近似值,惟仅考虑到邻近原子间之相互作用。所计算者有临界温度与合金成分之关系,秩序之程度,内能,及比热。凡Bethe氏曾经计算过者与本文计算结果相较,均相差无几。

 
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