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sufficient condition
相关语句
  充分条件
     COMPUTATIONALLY VERIFYING SUFFICIENT CONDITION FOR THE IMPLICIT FUNCTION EXISTENCE THEOREM
     隐函数存在定理的计算可检验充分条件
短句来源
     A SUFFICIENT CONDITION FOR THE EXISTENCE OF LIMITING CYCLE OF THE EQUATIONS dx/dt=h(y)-F(x),dy/dt=-g(x)
     微分方程(dx)/(dt)=h(y)-F(x),(dy)/(dt)=-g(x)存在极限环的一个充分条件
短句来源
     A SUFFICIENT CONDITION FOR K-SMOOTH SPACES
     K平滑空间的一个充分条件
短句来源
     COMPUTATIONALLY VERIFYING SUFFICIENT CONDITION FOR THE GLOBAL IMPLICIT FUNCTION EXISTENCE THEOREM
     大范围隐函数存在定理的计算可检验充分条件
短句来源
     A Sufficient Condition of {f(α, n)} Which is Dense in the Range of Periodic Function f(x)
     周期函数数列{f(α,n)}稠密于值域的一个充分条件
短句来源
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  充分性条件
     The neutral delay differential equations with positive and negative coefficients d2 dt2 [x( t) + p( t) x( t-τ) ]+ Q1( t) x( t-σ1) - Q2 ( t) x( t-σ2 ) =0 , is studied,and a sufficient condition for the existence of a nonoscillatory solution of this equation is ob- tained.
     文章研究了具正负系数的二阶中立型时滞微分方程d2dt2 [x(t) +p (t) x(t-τ) ]+Q1 (t) x(t-σ1 ) - Q2 (t) x(t-σ2 ) =0 ,得到了该方程存在非振动解的充分性条件
短句来源
     In this paper,the neutral delay differential equations with positive and negative coefficientsd 2dt 2[x(t)+p(t)x(t-τ)]+Q 1(t)x(t-σ 1)-Q 2(t)x(t-σ 2)=0,is studied and a sufficient condition for the existence of a nonoscillatory solution of the equation is obtained.
     研究具正负系数的二阶线性中立型时滞微分方程d2dt2 [x(t) +p(t) x(t-τ) ]+Q1 (t) x(t-σ1 ) - Q2 (t) x(t-σ2 ) =0 ,得到了该方程存在非振动解的充分性条件
短句来源
     In this paper,the neutral delay differential equations with positive and negative coefficients d 2 d t 2[x(t)+p(t)x(t-τ)]+Q 1(t)x(t-σ 1)-Q 2(t)x(t-σ 2)=0is studied,and a sufficient condition for the existence of a nonoscillatory solution of the equation is obtained.
     文章研究了具正负系数的二阶线性中立型时滞微分方程d2dt2 [x( t) +p( t) x( t-τ) ]+Q1 ( t) x( t-σ1 ) - Q2 ( t) x( t-σ2 ) =0 .   ( * )得到了方程 ( * )存在非振动解的充分性条件
短句来源
     The approximation almost periodic function method was used to study the existence and uniqueness of almost periodic solution of a class of nonlinear differential equations:x′=A(t,x)x+g(t,x). A sufficient condition is obtained.
     用渐近概周期函数法研究一类非线性微分方程 :x′=A(t,x) x +g(t,x) 的概周期解的存在唯一性 ,得到保证该方程存在唯一概周期的充分性条件 .
短句来源
     Based on Hamilton-Jacobi-Issacs(HJI) inequality approach,the sufficient condition under which the unforced systems are robustly dissipative is proposed;
     首先,基于Hamilton-Jacobi-Issacs(HJI)不等式给出系统是鲁棒耗散的充分性条件;
短句来源
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  “sufficient condition”译为未确定词的双语例句
     ON THE NECESSARY AND SUFFICIENT CONDITION FOR THE VALIDITY OF FREQUENCY FIDELITY CRITERION IN SHANNON'S THEOREM
     关于Shannon定理中频率准则成立的充要条件
短句来源
     The Necessary and Sufficient Condition for Quasi-leftcontinuity of Natural σ-fields of Jump Processes
     跳跃过程的自然σ域为拟左连续的充要条件
短句来源
     A Necessary and Sufficient Condition for χ~2-Distribution
     χ~2-分布的一个充要条件
短句来源
     A NECESSARY AND SUFFICIENT CONDITION OF THE EXISTENCE OF THE INVARIANT 1 IN THE NORMAL CLASS ■(R,S)
     规范类■(R,S)有恒1的充分必要条件
短句来源
     A SUFFICIENT CONDITION FOR CONTROLLABILITY OF A CLASS OF NONLINEAR SYSTEMS
     一类非线性系统的能控性条件
短句来源
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  sufficient condition
We give a simple necessary and sufficient condition for a Schubert
      
A sufficient condition for the sequence of sampling functions to constitute a frame is derived.
      
For any closed subspace V0/L2 (R), we present a necessary and sufficient condition under which there is a sampling expansion for everyf ε V0-Several examples are given.
      
A necessary and sufficient condition for dual Weyl-Heisenberg frames to be compactly supported
      
We present a necessary and sufficient condition on a compactly supported function g(t) generating a Weyl-Heisenberg frame for L2 (?) for its minimal dual (Wexler-Razdual) γ0 (t) to be compactly supported.
      
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On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function. It is further pointed out that the condition is equivalent to the realizability condition given by Wilcox.When a desired function satisfies the sufficient condition (for example, the sloping Gaussian radar ambiguity function), then the synthesis...

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function. It is further pointed out that the condition is equivalent to the realizability condition given by Wilcox.When a desired function satisfies the sufficient condition (for example, the sloping Gaussian radar ambiguity function), then the synthesis of ambiguity functions would reduce to the approximation of optimum radar signals. With proper choice of the ortho-normal bases, the problem of synthesizing an ideal radar ambiguity function can be completely solved. At the same time optimum radar signal generator and its corresponding matched filter can be constructed by a Laguerre network.

本文基于雷达信号和雷达模糊度函数间的一致关系,提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件,并且指出它包括了Wilcox提出的离散的可实现条件. 如果预给函数满足定理的充分条件时,模糊度函数的逼近就简化成相应的雷达信号的逼近了。如果适当地选择正交基,一种理想的雷达模糊度函数的综合是可以得到圆满的解决的。同时最佳雷达信号产生器和它的相应的匹配滤波器都能用Laguerre网络来构造。

By a complemented lattice L we mean a lattice with O, I and supplemented with an unary operation “′”satisfying O′=I, I′=O. By a tautology on L we mean a finite expression formed from variables and the lattice operation signs ∪, ∩, ′ that equals to I identically on L. Two complemented lattices L_1, L_2 are said to be of the same "type" if they have identical sets of tautologies. (i. e., every tautology on L_1 is a tautology on L_2 and vice versa). The problem of classifying complemented lattices according to...

By a complemented lattice L we mean a lattice with O, I and supplemented with an unary operation “′”satisfying O′=I, I′=O. By a tautology on L we mean a finite expression formed from variables and the lattice operation signs ∪, ∩, ′ that equals to I identically on L. Two complemented lattices L_1, L_2 are said to be of the same "type" if they have identical sets of tautologies. (i. e., every tautology on L_1 is a tautology on L_2 and vice versa). The problem of classifying complemented lattices according to their types arises from considerations of many-valued logics whose truth values form complemented lattices. The following result is obtained: Theorem. Let L_2 be a finite complemented lattice satisfying (C). There exists an expression A(x,y) such that for any a, bεL: Then a necessary and sufficient condition tot a complemented lattice L_1 to be of the same type with L_2 is that: (A_1) There exists a homomorphism φ of a sub-complemented lattice of L_1 nto L_2; (A_2) For each ξ in L_1, ξ≠I, there exists a homomorphism φ_ξ of L_1 into L_2 such that φ_ξ(ξ)≠I.

本文讨论可补格的一种分类问题,它是由于考虑多值逻辑的判定问题而引起的。(正文中谈到了问题的逻辑来源。) 一个具有最小元O及最大元I的格L,如果在其中又定义了一个单值的1元运算“′”能适合O′=I,I′’=O,则称L为一可补格,一个命题演算良构式A(设只含命题连接词A,V,~),如果命它的变数在L中任意取值且将A,V,~分别解释为L中的运算∩,U,′时,A永远得到值I,则称A为L上的恒I式,当两个可补格L_1,L_2上的恒I式集相同时,称L_1,L_2为同型的,本文就是讨论可补格按同型关系分类的问题,所得结果如下: 定理设有限可补格L_2适合条件:(C),存在一良构式A(x,y)能使则任一可补格L_1与L_2同型的一个充分必要条件是: (A_1).存在一个由L_1的子可补格到L_2上的同态对应φ,并且, (A_2).对L_1中每一ξ≠I,都存在一个由L_1到L_2内的同态对应φ_ξ能使φ_ξ(ξ)≠I。

The idea of free energy has been used in the discussion of physical conditions for the formation of colloidal particles. The formulas for critical concentration of impurity atoms and donor atoms and for critical values of crystal nuclei are deduced and discussed under the assumption that all the crystal nuclei have the same size. It is pointed out that there is a critical temperature for the transformation of colloidal particles into impurities of semiconductor or F-centres of alkali halides. The characteristics...

The idea of free energy has been used in the discussion of physical conditions for the formation of colloidal particles. The formulas for critical concentration of impurity atoms and donor atoms and for critical values of crystal nuclei are deduced and discussed under the assumption that all the crystal nuclei have the same size. It is pointed out that there is a critical temperature for the transformation of colloidal particles into impurities of semiconductor or F-centres of alkali halides. The characteristics of surfaces of free energy and the sufficient condition of the formation of colloidal particles are also discussed in this paper.

本文利用自由能的概念并作了固溶粒子(包括胚芽和胶粒)都是同样大小的假定,讨论了在离子晶体中由于杂质原子浓度的增加,该固体由半导体过渡到固溶胶体的物理条件;推导出杂质原子临界浓度公式;讨论了胚芽的临界值和施主原子临界浓度与激活条件的关系。并指出当温度改变时,出现临界温度,超过此温度时,固溶胶体将转化为半导体。最后分析了自由能曲面的特点和出现固溶胶粒的充分条件。 下一篇文章将讨论固溶胶粒有一定分布的情况,和胶粒的生长以及施主原子浓度等问题;并且还指出只要对这些讨论作简单的修正就可以应用于原子晶体和合金系统。

 
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