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equal
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  相等的
    COMPLETE HYPERSURFACES IN S~4 (1) WITH TWO EQUAL CONSTANT PRINCIPAL CURVATURE
    S~4(1)中具有两个相等的非零常数主曲率的完备超曲面
短句来源
    Two Sufficient Conditions of the Second Order Mixed Partial Derivatives of Two-component Function Are Equal
    二元函数二阶混合偏导数相等的两个充分条件
短句来源
    Partitioning Large Even Numbers as the Sums of Two Almost Equal Primes
    分拆大偶数为两个几乎相等的素数之和
短句来源
    On Graphs with Equal 2-domination and Connected 2-domination Numbers
    2-控制数和连通2-控制数相等的图(英文)
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    Waring-Goldbach problems in short intervals have appealed to many authors and have been investigated, among which the Goldbach-Vinogradov theorem with almost equal prime variables may be the most famous one (see for example [1], [2], [3] and[4]).
    小区间内的华林-歌德巴赫问题吸引了许多作者并且被许多作者研究过,其中以哥德巴赫-维诺格拉多夫关于几乎相等的素数的定理最为著名(读者可见[1],[2],[3]和[4])。
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  等号
    A different opinion from the equal symbol of f_s≥2f_m in the Channon's sampling theorem with several practical examples is proposed, and thc fault in the proving method used in the past is pointed out.
    本文例举几个实例,对Shannon采样定理f_s≥2f_m中的等号提出异议,指出一般证明方法的缺陷。
短句来源
    An important inequality between standard deviation and mean deviation δ=E|X-EX| is given :σ≥δ,the equality holds if and only if X is one-point distributed or equal probabieity two-point distributed.
    本文证明了随机变量标准差和平均差δ=E|X-EX|间的一个重要不等式:σ≥δ,等号当且仅当X服从单点分布或等概率两点分布时成立。
短句来源
    The inequalifies are valid if and only if all the positive eigenvalues of matrix ((m ie i,m je j)) N×N are equal, where (m ie i,m je j) denotes inner product and e i is PP i [TX-〗(i=1,2,…,N)。
    上述不等式当且仅当矩阵((miei,mjej))N×N的非零特征值相等时成立等号,此处(miei,mjej)表示内积,ei=PPi(i=1,2,…,N)。
短句来源
    Suppose that D is a simply connected region whose boundary, the complex function q(z), normal derivative of |q(z)|does not equal to zero for z ∈Γ,and |q(z)|≤1 for z ∈D where equality may hold only at z ∈Γ. Type and boundary correspondence of the homeomorphic solution of the Beltrami equation are discussed under above conditions of complex dilatation q(z).
    设D是一个边界的有界单连通域,复函数,|q(z)|的法向导数在z∈Γ时不等于零而对z∈D成立|q(z)|≤1,且等号至多对z∈Γ成立.对于复伸张q(z)满足上述条件的Beltrami方程的分类及同胚解的边界对应进行了讨论.
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  “equal”译为未确定词的双语例句
    A Study on Children's(Aged 5-11)Stability of Equal Divided Area Concept in Cognitive Development
    5—11岁儿童面积等分概念稳定性的发展
短句来源
    EQUAL TIME KAC-MOODY ALGEBRA FOR GENERAL TWO DIMENSIONAL NON-LINEAR σ MODEL
    一般情况下二维非线性σ模型的等时Kac-Moody代数
短句来源
    The Principle and Treatment Method of the Equal Waterheads of the Second-Type Boundary of Groundwater Flow in the Finite Element Calculation
    渗流有限元计算中等水头二类边界的处理及原理
短句来源
    The method divides eight attribute indicators of the spare parts into inputs and outputs to make the efficiency value of the model equal to the important degree of the spare parts directly.
    该方法根据DEA中确定指标是输入(出)的原理,将备件的多个属性指标分成输入指标和输出指标,使得模型效率值大小能直接表示备件的重要程度,并根据相应的效率值对备件进行ABC分类。
短句来源
    The 2-distance coloring of a graph G is a proper vertex coloring such that no two vertices at distance less than or equal to 2 in G are assigned the same color.
    图G(V,E)的2-距离染色是指正常的顶点染色,且距离不大于2的任意两个顶点着不同的颜色.
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  equal
It is well-known that the ring of invariants associated to a non-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation.
      
The essential dimension is a numerical invariant of the group; it is often equal to the minimal number of independent parameters required to describe all algebraic objects of a certain type.
      
We also give conditions for the two algebras to be equal, relating equality to good filtrations and saturated subgroups.
      
We present two generalizations of the orthogonal basis of Malvar and Coifman-Meyer: biorthogonal and equal parity bases.
      
An important property of this matrix is that the maximum and minimum eigenvalues are equal (in some sense) to the upper and lower frame bounds.
      
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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。

The thermodynamic functions of an ideal subetance represented by van der Waals equation are obtained with the help of the condition that these functions reduce to those of a perfect gas in the limiting case of vanisning prassure. The volumes of the liquid state and gas state in coexistence as determined by Maxwell's rule of equal areas are expressed in a parametrie form. The nature of the dependence of the constants a and b on the chemical composition of the gas is briefly considered.

任何气体在压力极小时皆变为理想气体。今利用此点以求一凡得瓦尔气体之各种热力学函数。当气体与液体同时存在时,其由等面积法所定各自之体积,今以参数表之。最后约略言及a,b二常数与气体化学组成之关系。

The present paper treats the compression of a rectangular block between two parallel rough plates as a problem in the theory of plane strain for perfectly plastic-rigid materials.At first, the plastic-rigid theory of plane strain was outlined, then, the solution to the present problem is briefly surveyed. In section 4, the case that is left out in the present literature, viz. when the width-height ratio lies between 1 and 3.64 for partially rough plates is solved. In this treatment, the coefficient of friction...

The present paper treats the compression of a rectangular block between two parallel rough plates as a problem in the theory of plane strain for perfectly plastic-rigid materials.At first, the plastic-rigid theory of plane strain was outlined, then, the solution to the present problem is briefly surveyed. In section 4, the case that is left out in the present literature, viz. when the width-height ratio lies between 1 and 3.64 for partially rough plates is solved. In this treatment, the coefficient of friction ν is considered as constant along the contact surfaces. For eachμ, a critical value of the ratio w0/h is given. When w/hequal circular arcs are given in Appendix I. The computation was compared to the results obtained by R. Hill (ref. 1) using graphical construction with fairly rough meshes. The comparison shows that the graphical construction used is accurate for all practical purposes. From these expressions we obtain the analytic expression for wo/h in terms of the frictional angle connected with μ(Eq. 11).Finally, a short discussion on the graphical construction used for the case of constant μ is given in Appendix Ⅱ.

本文将平行刚性压板间的塑性流动问题作为理想刚塑性的平面应变问题处理;先简单的复习理想刚塑性的平面应变问题,然后对本问题已做的部分作简短的介绍,再处理了现在还未解决的情形,那就是:当1

 
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