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参数表示
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  parametric representation
     The Parametric Representation of Starlike Mappings in Banach Spaces
     Banach空间中星形映照的参数表示
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     Parametric Representation of the Solution of Stationary Harry-Dym Equation
     驻定Harry-Dym方程解的参数表示
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     Parametric Representation of the Finite-band Solution to a Hierarchy of Nonlinear Evolution Equations
     非线性扩散方程族有限带解的参数表示
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     In this paper, excepting the proof that G includes no Lie 5 -subgroup, we obtain still respectively the parametric representation of every kind of Lie subgroups of the Lorentz group G .
     本文除证明(6参数)Lorentz群G不存在5—参数Lie子群(定理4)外,我们给出了G的各类Lie子群的参数表示(定理1,2,3,5)。
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     PARAMETRIC REPRESENTATION OF THE SOLUTION OF STATIONARY CG EQUATION
     驻定CG方程解的参数表示
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  parameter representation
     Research on Parameter Representation and Objective Quality Assessment of Speech
     语音的参数表示和质量客观评价研究
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     Parameter Representation of Isotropic Vector and Property
     迷向向量的参数表示及其性质
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     The article also presents appropriate methods for pressure angle computation, detail drawings and parameter representation of a space cam respectively.
     本文也提供了压力角的校核,空间凸轮的绘图及特性参数表示方法。
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     This review includes mainly negative or positive Riemann mapping theory correspondence of boundaries, convergence theorems, parameter representation, growth theorems, distortion theorems, quasicnformal extension, coefficient problems and variation formulas of biholomorhic mappings, and univalence of holmorphic mappins.
     这评论包括了双全纯映照的否定或肯定的黎曼映照定理、边界对应、参数表示、增长性定理、编差定理、拟共扩张、系数问题和变分公式,以及全纯映照的单叶性判别准则.
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     The paper showed a parameter representation of isotropic vector in complex vector space, and obtained the some properties.
     给出了复向量空间中的迷向向量的一种参数表示,并由此获得了迷向向量的一些性质.
短句来源
  parametric representations
     In this paper, by transforming the parametric representations of derivative vector curve (of Bézier curve) and normal vector surface (of Bézier surface) to their implicit representations, a simple and practical sufficient condition for determining the regularity of Bézier curve and surface is presented.
     通过将Bézier曲线曲面的导矢曲线(法矢曲面)的参数表示转换为隐式表示,得到了一个判断Bézier曲线曲面正则性的简单而实用的充分条件.
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     Explicit exact parametric representations of solitary waves and kink waves are obtained.
     孤立波和扭子波精确参数表示都能得到.
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     A class of generalized KdV equation u_t+au~βu_x+bu~〖WT《Symbol#I》〗tu_(xxx) under the condition β>0 and 〖WT《Symbol#I》〗t<0 is studied by using bifurcation theorem of dynamic systems to prove the existence of solitary wave, kink and anti-kink wave, and periodic wave solutions. All possible exact parametric representations of solitary wave solutions are obtained.
     应用平面动力系统分支理论研究了当β>0,<0时的一类广义KdV方程ut+auβux+bu uxxx=0,证明了孤立波,扭子波与反扭子波,周期波解的存在性,并得到了所有可能的孤立波解的精确参数表示.
短句来源
     THE PARAMETRIC REPRESENTATIONS OF QUASI-CONFORMAL MAPPINGS ON CANONICAL DOMAINS
     典型域上拟似共形映照的参数表示
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     Explicit exact parametric representations of solitary waves, kink waves and periodic are obtained.
     孤立波,扭子波和周期波的精确参数表示都能得到。
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  “参数表示”译为未确定词的双语例句
     (d) the combustion reaction of coals can be described by the following unified model with different parameter values:dx/dτ=A·e(-E/RT)·(1-x).
     燃烧反应可用相同的动力学模型不同的相应参数表示,dx/dτ=A·e ̄(-E/RT)·(1-x)。
短句来源
     We also refer parameter denotation and basic formulary of curve and surface as the theory basis for Surface Modeling.
     为了更好的理解曲面造型,介绍了曲线与曲面的参数表示及曲线与曲面论的一些基本公式,这些是曲面造型的理论基础。
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     6. We give a diameter formula for an undirected double loop network G(n; 眘1, 眘2), which can be represented by four parameters of the L-shape tile.
     6.我们给出了无向双环网络G(n;±s_1,±s_2)的直径公式,此公式用L-形瓦的四个参数表示
短句来源
     On the other hand, we can also obtain the implicit equations of curves/surfaces in a more compact representation.
     从曲线/曲面的μ基出发,我们可以方便地得到原曲线/曲面的参数表示,也可以得到曲线/曲面的隐式表示,即μ基构建了曲线/曲面的参数方程和隐式方程之间的联接桥梁。
短句来源
     Representing hydrogen bond acidity of compounds containing hydroxyl or carboxyl with quantum chemical parameters
     羧基和羧基化合物氢键酸度的量子化学参数表示
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  parametric representation
Remarks on a parametric representation of Nevanlinna-Dzhrbashyan classes
      
This article presents a parametric representation for classes of functions f that are holomorphic in the unit disk and such that
      
Data structures for direct and parametric representation of schedules are considered and corresponding systems of operations for correcting schedules are introduced.
      
The integrability and parametric representation of a hierarchy of soliton equations
      
The parametric representation for finite-band solutions of a stationary soliton equation is discussed.
      
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  parameter representation
One-parameter representation of the daily averaged solar-wind velocity
      
The method of approximated four-parameter representation of the electron-impact cross sections for a helium atom excited from the 23S1 metastable state into higher triplet states is applied and discussed.
      
Calculations were carried out in terms of the Born approximation in the impact parameter representation with the normalization and Coulomb repulsion (in the case of an ionic target).
      
Best Constants for Moser-Trudinger Inequalities, Fundamental Solutions and One-Parameter Representation Formulas on Groups of He
      
As an application, we obtain a one-parameter representation formula for Sobolev functions of compact support on H-type groups.
      
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  parametric representations
Some exact explicit parametric representations of the above travelling solutions are obtained.
      
The parametric representations of each shell element and a tendon, which are obtained by interpolating the given points, are used to develop the proposed algorithm.
      
For the double sine-Gordon equation, the exact explicit parametric representations of the bounded traveling solutions are given.
      
Exact explicit parametric representations of some special travelling wave solutions are given.
      
Exact explicit parametric representations of these travelling wave solutions are given.
      
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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. Our...

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:

This paper consists of two parts,namely,the method of expressing the zonal climaticdata of 500mb height in terms of several parameters and some characteristics of the zonalindex for the Northern Hemisphere obtained by a three-parameter representation.Finally,the results are discussed.

通过对实际资料的分析,作者发现,在0—70°N 地区北半球500mb 气候平均位势高度沿纬圈的平均值,不论冬夏,都可以很准确地用四参数来表示,其误差小于10位势米.对用三参数和二参数表示的情况也作了此较.最后还用三参数计算了逐月的气候平均情况和个别月份逐日的情况,并指出了某些特征.

This paper develops a theory of hydro-elasticity for the vibration problems of the sluice gates in hydraulic structures. Based upon vibration data obtained from prototype measurements, simplifications of the gate structure are first made in the analysis, i. e. , the gate is treated as a two-dimensional rigid plate with m elastic supports, and theoretical solutions arc then obtained. In the explanation of the interaction between gate and water during vibration, the author introduces the various terms “apparent...

This paper develops a theory of hydro-elasticity for the vibration problems of the sluice gates in hydraulic structures. Based upon vibration data obtained from prototype measurements, simplifications of the gate structure are first made in the analysis, i. e. , the gate is treated as a two-dimensional rigid plate with m elastic supports, and theoretical solutions arc then obtained. In the explanation of the interaction between gate and water during vibration, the author introduces the various terms “apparent mass”, “apparent product of inertia”, “apparent moment of inertia”, “apparent damping coefficient”, and“apparent elastic con-stant”, which originally appear in the analysis. Further analysis of the dynamic stability involving both hydrodynamic and elasticproperties of the vibration system indicates that the intense vibration which occurs in the prototype structure is of the flutter nature, and this explains the reason why the intense vibration suddenly vanishes as soon as the opening of gate is over the critical range. The paper also gives the conditions of the dynamic stability in terms of the structural and the hydraulic properties of the system, such as gate opening, water head, and velocity of flow. Subsequent suggestions are made for the design of the light-weight gate structures as to the reasonable distribution of mass and stiffness and the method of changing the velocity along the upstream surface of the gate to eliminate flutter.

本文用流体弹性力学的方法,研究水工建筑物的閘門振动問題。以某些原型观測資料作为依据,对閘門振动系統作了适当的簡化,研究了閘下出流情况下系統的振动特性。文中闡明了閘下出流对閘门振动系統自振特性的影响,給出了影响閘門自振特性方面的一些重要参数的表示式。文中最后对閘下出流系統的振动稳定性进行了分析。分析的結果有助于說明实际工程中某些輕型閘門具有强烈的振动区的現象是属于“顫振”性貭的。同时还給出了系統振动的稳定条件及其相应的临界条件,包括門体結构、閘門开度、作用水头以及閘下流速等各項影响因素。說明当这些因素組合不当时,閘門发生“顫振”的可能性是存在的,因而在設計輕型閘門时应予注意。最后本文探討了克服与避免“颤振”的措施。

 
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