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finite
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  有限
    Study on Wavelet Stochastic Finite Element Method
    小波随机有限元方法研究
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    Object-Oriented Stochastic Finite Element and Reliability-Based Shape Optimization Design with Contact Problems
    面向对象的随机有限元与接触问题的可靠性形状优化设计研究
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    Theory of the Finite Difference Parallel Algorithms for Parabolic Equations
    抛物方程有限差分并行算法理论
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    The Finite Difference Scheme and Global Regular Solution for Landau-Lifshitz Equation
    Landau-Lifshitz方程的有限差分格式与整体正则解
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    Investigation and Application of Energy Finite Element Method
    能量有限元法研究及其应用
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  有限的
    SOLVING THE PROBLEMS OF CERTAIN SOLUTIONS BY THE FINITE DOUBLE FOURI ER TRANSFORMS
    用有限的二重傅里叶变换解定解问题
短句来源
    ON THE STRUCTURE OF LOCALLY FINITE DI-LIE ALGEBRA
    关于局部有限的DI-Lie代数的结构
短句来源
    A Category of the Finite Index True Subgroup of Group (Q*,·)
    群(Q*,·)的一类指数有限的子群
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    (ⅱ)Every scattered partition of X has a σ-compact finite open expansion;
    (ⅱ)X的每个散射分解有一个σ-紧有限的开膨胀;
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    (ⅲ)Every monotone decreasing family {Fα:α<γ} of close sets of X has a σ-compact finite open family V=∪n∈ωVn such that,for every α<γ,X-Fα=∪{V∈V:V∩Fα=Φ};
    (ⅲ)X的每个单调递减的闭集族{Fα:α<γ}有一个σ-紧有限的开集族V=∪n∈ωVn使得α<γ,X-Fα=∪{V∈V:V∩Fα=Φ};
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  “finite”译为未确定词的双语例句
    On Erd(?)s' Problems about Finite Planar Sets
    平面点集的若干ERD(?)S问题
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    Asymptotic Expansions and Extrapolations for Linear and Quadratic Finite Element Based Common Triangular Meshes
    基于几类基本三角形网格下的线性元与二次元的渐进展式和外推研究
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    Calculation of Temperature Field and Thermal Stress of Turbine Disk with Finite Element Method
    用有限单元法计算涡轮盘的温度场和热应力
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    ON THE CRITICAL POINTS OF FINITE BLASCHKE PRODUCTS AND THE EQUATION △u=e~(2u)
    Blaschke(布拉什克)积的临界点及方程△u=e~(2u)
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    A Study of Various Finite Difference Schemes for Burgers' Equation
    一维Burgers方程的各种差分格式研究
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  finite
The purpose of this note is to prove, as Lusztig stated, that the Euler characteristic of the variety of Iwahori subalgebras containing a certain nil-elliptic elementnt istcl wherel is the rank of the associated finite type Lie algebra.
      
In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.
      
In all these cases we actually show that Γ=π1(M) has a finite index subgroup which is mapped onto a nonabelian free group.
      
The presentations are given in the form of graphs resembling Dynkin diagrams and very similar to the presentations for finite complex reflection groups given in [2].
      
We study the multiplicative structure of rings of coinvariants for finite groups.
      
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Let f(z)=z+sum from n=2 to ∞ a_nz~n be regular and schlicht in the unit circle. M. Schiffer proved that the function w=f(z) in the class of such functions, which renders |a_κ| the maximum, maps |z|<1 onto the whole W-plane with a finite number of analytic cuts. For the cases k=4 and k=5 Schaeffer-Spencer [3] and Golusin [5] proved respectively that there is only one cut for the extremal domain. The principal object of the present paper is to show that the same thing holds true for the cases k=6 and k=7....

Let f(z)=z+sum from n=2 to ∞ a_nz~n be regular and schlicht in the unit circle. M. Schiffer proved that the function w=f(z) in the class of such functions, which renders |a_κ| the maximum, maps |z|<1 onto the whole W-plane with a finite number of analytic cuts. For the cases k=4 and k=5 Schaeffer-Spencer [3] and Golusin [5] proved respectively that there is only one cut for the extremal domain. The principal object of the present paper is to show that the same thing holds true for the cases k=6 and k=7. Our proof depends upon the following lemmas: Lemma A. If{f(z)~2}_6=0; then |a_2|<1.63; and if {f(z)~2}_7=0; then |a_2|<1.77; Where {g(z)}_n denotes g~((n))(0). Lemma B. If |a_6|≥6 and {f(z)~2}6=0, than |a_2|>1.95, If |a_7|≥7 and {f(z)~2}_7=0, then |a_2|>1.85. Using merely the method of variation, without appealing to L(?)wner's method as done by M. Fekete and G. Szeg [6], we can prove the known theorem that (?)|a_3-αa_2~2|=1+2 exp(-2α/(1-α))(0≤α<1) with the "uniqueness" of the extremal function. For the functions f(z) satisfying the pair of conditions R(a_3)>0 and R(a_2)<0, we can pnove that the greatest value of R(a_2+a_3)is 1.03…,and that the correspondiong extremal function is of real coefficients.

S表示單位圆|z|<1上單葉且正則的函數 f(z)=z+α_2z~2+α_3z~3+… (1.1)的全體所成之族。設S′是S的一個子族,S′中任一函數满足條件 R(α_3)>0,R(α_2)<0。對於S′中的函數,本文證明R(α_2+α_3)之最大值是可以達到的,其值是1.03…。達到此值的極值函數的一切係數都是實數,極值函數只有一個。舍勾和飛克得[6]謝缶和斯賓塞爾[3]以及沙拉烏洛夫先後用樓五納的參數表示法和變分法,求出 |a_3-αa_2~2|(0≤α<1)的值,並指出達到此值的極值函數的一切係數都是實數,而且極值函數只有一個。本篇僅用變分法来建立他們的定理。惜缶[4]指出使|a_n|達到最大值的函數(1.1),其映象區域的境界是一組伸展到無窮遠處的解析若當曲綫。謝缶和斯賓塞爾[3],戈魯辛[5]分別證明對於|a_4|和|a_5|的極值區域,其境界綫只有一根。本篇對於|a_6|和|a_7|證明同樣的事實。證明是靠着如下的引理:

A prolate spheroidal dipole antenna embedded in a larger dielectric confocal prolate spheroid with finite conductivity is analized as a boundary value problem in electromagnetic theory; the expressions for the fields, antenna current distribution and input impedance are obtained.

本文从麦克斯韦方程出发,求出有损耗的长椭圆旋转介质球中一个同焦点的小的长椭圆旋转形半波振子发射天线上的电流分布和其输入阻抗,以及它在有损耗的介质球中和外部自由空间中所产生的场。

With the use ot Fulton s variational function,the effect of the excitonlattice interaction on the energy level and The effective mass of an exciton is calculated.At finite temperatures, in addition to the virtual Phonon cloud surrounding the exciton,there exist real phonons(lattice thermal vibrations)The exciton-Phonon interaction leads to a lowered energy level and an increared effective mass of the exciton,with both depending on the temperature. At absolute zero,the result reduces to that obtained by...

With the use ot Fulton s variational function,the effect of the excitonlattice interaction on the energy level and The effective mass of an exciton is calculated.At finite temperatures, in addition to the virtual Phonon cloud surrounding the exciton,there exist real phonons(lattice thermal vibrations)The exciton-Phonon interaction leads to a lowered energy level and an increared effective mass of the exciton,with both depending on the temperature. At absolute zero,the result reduces to that obtained by Guraris variational function.

利用佛尔頓的变分函数,計算了激子——晶格互作用对激子的能级和有效貭量的影响,在有限温度下,除了圍繞激子的虛声子外,还存在实声子(晶格的热振动)激子与声子的作用使激子的能级降低,有效貭量增加,且二者都与温度有关。在絕对零度下,結果与利用古拉列的变分函数得到的結果一致。

 
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