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为零的
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  being zero
    The present paper proves that a ring R is a periodic ring if and only if for any a,b∈R, there exist positive integers m,n,k and a polynomial f(x) with integer coefficients and the constant term being zero such that a mb k=a nb kf(b).
    证明环 R是周期环的充分必要条件是对 a,b∈ R,均有自然数 m,n,k及常数项为零的整系数多项式 f ( x) ,使得 ambk=anbkf ( b)
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    We find that there appears a singular trajectory ( density on it being zero ) and a additional left-facing shock after the reflected wave reaches the explosion point.
    我们发现,在反射波到达爆炸点后,这里出现了一条密度为零的奇轨线和另一条左向的激波
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    For example,the symmetric deformation for a simply supported rectangular shallow shellloaded uniformly with the displacement along the four edges being zero,issolved.
    以面内四边位移为零的简支矩形扁壳为例求解了匀布荷载作用下的对称变形解。
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  equals zero
    A New Proof of the Necessary and Sufficient Condition of the Trigonometric Polynomial Identically Equals Zero
    三角多项式T(x)恒为零的充分必要条件的证明
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    Particularly,the probability of ultimate ruin, the probability laws of the surplus immediately before ruin and the deficit at ruin a re discussed with emphasis. Prof. Gerber gave the explicit solutions of the probability laws mentioned above in the case that the initial surplus equals zero.
    本文系统地探讨了完全离散的经典风险模型,特别是重点研究了与风险有关的最终破产概率,破产前一刻的盈余和破产时赤字的概率律.Gerber仅在初始盈余为零的情况下给出了上述概率律的显式解,本文则对任意的初始盈余u≥0,给出了上述概率或概率律的递推解、变换解与显式解.
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    It is shown that the Toplogical degree equals zero for strict set contractive fieldon a non - ball domain, which improves the corresponding results by Sun Jingxian in l987.
    给出了严格集压缩场的拓扑度在非球域上的度为零的结果,改进了孙经先1987年相应的结果。
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    This paper discusses the following three questions: Firstly,analyses the basic conception of the Process Capability Index and the essence meaning of the Cpk in detail,corrects and clarifies the wrong view that the qualified rate is zero when Cpk equals zero;
    讨论三个方面的问题:(1)过程能力指数的基本概念,论证了CPK的实质意义,澄清了“CPK为零就是合格品率为零的”错误观点。
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  “为零的”译为未确定词的双语例句
    Some Applications of Integrable Systems in Differential Geometry and Hypersurfaces in S~(n+1) with Zero M(?)bius Form
    可积系统在微分几何中的某些应用与S~(n+1)中M(?)bius形式为零的超曲面
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    A Proof of the Extended Vandermond Determinant It not Zero
    推广的Vandermond行列式之值不为零的证明
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    Self-duality and Locally Distributive Rings with Jacobson Radical Square Zero
    自对偶和Jacobson根平方为零的局部分配环
短句来源
    Index Calculation of Primitive Matrices with Null Diagonal Elements
    对角元为零的本原矩阵指标计算
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    l-rings with f- elements Which HaVe Zero Annihilators
    含有零化子为零的f-元的l-环
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  being zero
The results of the investigations are presented in the form of diagrams of the concentration parameters of individual types of domains (mechanical twins) of coexisting phases separated by interfaces being zero-net-strain planes.
      
We denote En(f) and Ekn(f) the best uniform approximations to a continuous function f defined on [a,b] by the sets of algebraic polynomials of degree ≤n and algebraic polynomials of degree ≤n with the coefficients of xk (k≤n) being zero.
      
An assumption that the normal component of the electric displacement on crack faces is thought of as being zero is widely used in analyzing the fracture mechanics of piezoelectric materials.
      
The probability of α being zero (isotropic distribution) is found to be ~ 3 · 10-3.
      
The aim of our calculation is to see if it is possible to separate experimentally the predictions made by our diagram from the Drell's ones, being zero the interference term of the two graphs.
      
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  equals zero
The solution obtained, while not coinciding with the solution for the case of unperforated walls everywhere when the perforation factor equals zero, gives a simple rule for allowing for induction.
      
Within this model, we demonstrate that, in the chiral limit, the pion mass equals zero and the Goldberger-Treiman relation is fulfilled.
      
If magnetization orientation is orthogonal to a layer plane, the exchange constant is always positive at dPd>amp;lt;dc and equals zero at dPd>amp;gt;dc (dc is the characteristic length).
      
It is shown that there exists a voltage at which the velocity equals zero and stable coexistence of two phases is possible.
      
Suppose that the contact point has zero velocity and the projection of the angular velocity to the normal vector of the sphere equals zero.
      
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By using elementary methods of Riemannian Geometry the Friedmann universe can be derived under the following rive postulates: (1) The space-time is Riemannian. (2) Einstein's field equations hold. (3) Matter and radiation in the universe are in a state of thermal equilibrium. (4) The world lines of all 'nebulae converge toward the past. (5) The null geodesies are preserved unfler an infinitesimal transformation of space-time along the temporal axis. It is obvious that the isotropic and homogeneous properties...

By using elementary methods of Riemannian Geometry the Friedmann universe can be derived under the following rive postulates: (1) The space-time is Riemannian. (2) Einstein's field equations hold. (3) Matter and radiation in the universe are in a state of thermal equilibrium. (4) The world lines of all 'nebulae converge toward the past. (5) The null geodesies are preserved unfler an infinitesimal transformation of space-time along the temporal axis. It is obvious that the isotropic and homogeneous properties of space-time then follow as a necessary consequence.

根据五个假定,即(1)空时间为利曼四度空间,(2)安世坦的引力定律,(3)宇宙中的物质与辐身成一温度平衡状态,(4)所有空时间中旋转星云的世界线在过去曾相交叉,(5)空时间在时的方向经一无限小变换之后光子的零短程线仍为零短程线,本文用利曼几何的简易方法求得相对论宇宙论中的费烈特猛宇宙。

In the Construction of large concrete dams, a considerable amount of heat is generated when concrete sets. This heat induces serious thermal stress in the concrete blocks. In the usual engineering practice, the period between successive pouring of concrete is prolonged to allow the transference of heat into the atmosphere. For large dams, this is in conflict with the rapidity, of construction. In order to resolve this difficulty effectively, we have to find means to calculate the thermal stress.The calculation...

In the Construction of large concrete dams, a considerable amount of heat is generated when concrete sets. This heat induces serious thermal stress in the concrete blocks. In the usual engineering practice, the period between successive pouring of concrete is prolonged to allow the transference of heat into the atmosphere. For large dams, this is in conflict with the rapidity, of construction. In order to resolve this difficulty effectively, we have to find means to calculate the thermal stress.The calculation of thermal stress involves calculating the field of temperature distribution, field of elastic stress and creep stress. Being considered as a plane problem, the temperature T(x,y,t) satisfies the following equations (refer to fig. denotes derivatives along the outward normal.a, λ, α are constants.θ(t)is the temperature rise of concrete under adiabetic condition. The stress induced by the fields of temperature distribution and gravity has a stress function Ψp(x,y,t) satisfying the following equation:Δ2Ψ = Eldl/1v2ΔT = 0 in region Gl (1=0,1) The boundary conditions are :along CBAA'B'C' normal stress and shearing stress being zero.along CDD'C' displacement being zero.on surface L0, normal stress σy, shearing stress τxy and displacements u,v satisfy continuity conditionThis paper gives a preliminary treatment to the calculation of the two problems stated above. Several theoretical questions involved in the calculation will be further investigated in the near future.

在混凝土大坝的浇筑过程中,混疑土硬化时所放出的大量热量,会在浇筑块内引起严重的温度应力。为了降低坝内的温度应力,一般工程中采取了降低施工速度的办法,使坝内热量有机会向大气发散,但在大坝工程中,它却与施工速度产生了巨大矛盾,要有效地解决这一矛盾必须首先解决温度应力的计算问题。 温度应力的计算包括了温度(?)、时弹性应力(?)及徐变应力的计算。作为平面问题处理,温度T(x,y,t)满足 其中;表外法向微商α、λ、α皆为常数,θ(t)为混凝土在绝热状态下的上升温度。 由温度应力场和重力场的作用所产生的应力,其应力函数ψ(x,y,t)满足 Δ~2ψ+E_lα_l/(1-v_l~2)ΔT=0 在G_l内(l=0,1)边界条件为: 沿CBAA′B′C′,正应力及剪应力为零; 沿CDD′C′,变位为零: 在接触面L_o上,正应力σ_y,剪应力τ_(xy),位移u、v满足连续条件。 本文仅就以上二问题的计算作了初步研究,计算中所牵涉到的一些理论问题,尚待今后进一步研究。

A possible integral representation of double commutators allowing non-vanishing mass of intermediate states is obtained. As expected, it reduces to Dyson's result on putting the masses to be zero. A discussion is also given showing how dispersive relatsions for non-forward scattering can be obtained on assuming the fourier transform F(q0, q) of the

在中间态最低质量不为零的情形下,求出了双交换子的积分表示的一个可能形式。在最低质量取为零时,它化为Dyson的结果。 又讨论了如何简单地自积分表示求出色散关系。

 
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