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monotone function
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  单调函数
     The equation such as f = C1 + C-2 ∫0t[exp ∫0uw(s)ds]dw, where C1,C2 are arbitrary constants and w(s) is Lebesgue square integrable, is the famility of monotone function.
     形如,f=C1+C2∫0t[exp∫0uw(s)ds]du(其中:C1,C2是常数,w(s)是L2可积)的函数是一个广泛的单调函数类.
短句来源
     In this paper,by using monotone function,integral average technique and matrix inequalities,some new oscillation criteria for second order differential system with damping term(P(t)Y′(t))′+D(t)Y′(t)+Q(t)Y(t)=0,t∈[t_0,∞)are established,which generalize and improve some known oscillation ctiteria is literature.
     利用单调函数,积分平均方法及矩阵不等式,建立了形如(P(t)Y′(t))′+D(t)Y′(t)+Q(t)Y(t)=0,t∈[t0,∞)的二阶矩阵微分系统的一些新的振动准则,所得结果推广,并改进了一系列已有的结论.
短句来源
     Let f be a nonnegative operator monotone function on [0,∞). Then for all non-commutative Banach function space norms, we obtain that‖f(A)X-Xf(B)‖54‖f(|AX-XB|)‖,where A,B are τ-measurable positive operators, X is a contraction.
     当f是[0,∞)上的非负算子的单调函数时,得到了对任何非交换Banach函数空间范数都有‖f (A)X - Xf (B)‖ 54‖f ( AX - XB )‖,其中A,B是τ-可测正算子, X是收缩算子.
短句来源
     (h,Φ)-Pseudo Monotone Function and (h,Φ)-Quasic Monotone Function
     (h,Φ)-伪单调函数和(h,Φ)-拟单调函数
短句来源
     The Validity of Sequential Uniform Equidistant Design for Elliptic Revolving Monotone Function
     序贯均匀设计(二)——多维空间的选优法二维序贯均匀设计对椭圆型旋转单调函数类的有效性
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  单调函数的
     The Fixed Point Theorem of Monotone Function at Complete Lattice and its Application
     完全格上单调函数的不动点定理及其应用
短句来源
     A Study of the Methods for the C' Conformal Interpolation of Monotone Function
     单调函数的C′保形插值方法
短句来源
     When a inverse function of monotone function can not be shown as explicit forrnula, the distribution density curve of continuous random variable can be gained with a parametric equation.
     当单调函数的反函数不能显性表示时,连续型随机变量的分布密度曲线仍可用参数方程的形式获 得。
短句来源
     When a inverse function of monotone function can not show the explicit formula,the distribution density curve of continuous randon variable can be gained with a parametric equation.
     当单调函数的反函数不能显性表示时 ,连续型随机变量的分布密度曲线仍可通过参数方程的形式获得。
短句来源
     A THEOREM ON MONOTONE FUNCTION
     关于单调函数的一个定理
短句来源
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  单调关系
     With the increase of specimens′ average grain,the acoustic parameters of rock isn′t a monotone function,and they reduce firstly and then increase,what′s more,the changeable scope of dynamic Poisson′s Ratio is higher than one of other acoustic parameters,and so it can′t show the deformation property of rock as the mechanical parameter of material.
     随着岩石平均粒径的增大 ,岩石的声学参数先减小后增大 ,并非单调关系 ,而且动态泊松比的变化幅度明显高于其他声学参数 ,不能作为材料的力学参数表征岩石的变形特性。
短句来源
  “monotone function”译为未确定词的双语例句
     Problem about fixed point of x = ψ(x) When ψ(x) is a monotone function of x
     ψ(x)严格单调时x=ψ(x)的不动点问题
短句来源
     Given:Random variables (ξ_1,ξ_2,…,ξ_) of continuous type have distribution density function and f(x) which inverse function f~(-1)(y) has continuous derived function is a strictly monotone function.
     设连续型随机向量(ξ_1,ξ_2,…,ξ_n)有分布密度函数,又设函数 f(x)严格单调,其反函数 f~(-1)(y)有连续的导函数.
短句来源
     The temperature distribution of radial appears monotone function in electric conducting sample, and appears undulation in insulating sample.
     不同的导电样品,由于导热系数差异及样品发热率不同,样品中存在的温差各异,但均不为零。 只有当烧结样品为绝缘材料,样品发热率为零时,样品中才可能实现无温差。
短句来源
     In this paper, we disscuss the problem of fix point about monotone function and get a result which stronger than paper [1]. Further,we give a generally proving about Theorem 1,2,3 of paper [1].
     本文改进了文[1]中定理1的结论,并给出文[1]中定理1,2,3的一个综合证明。
短句来源
     A definition is given to the inverse function of the monotone function and its related propositions are obtained.
     对单调但非严格单调的函数 ,给出了反函数的定义 ,并得到了相关命题 .
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  monotone function
We show that the remainder in Ruijsenaars' asymptotic expansion of the logarithm of Barnes double gamma function gives rise to a completely monotone function.
      
We obtain an integral representation of a completely monotone function on a Lie semigroup and prove the equivalence of "difference" and "differential" definitions of this function.
      
We propose the description of the operators and isomorphisms of the spaceC[a, b] commuting with the operator of multiplication by a continuous strictly piecewise monotone function.
      
We obtain a description of isomorphisms acting in the space of square summable functions and commuting with the operator of multiplication by a continuous piecewise monotone function.
      
The maximum error εmax is a monotone function of the dimensionless parameter η, which characterizes the inhomogeneity in the SIF distribution.
      
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In this paper, a quite general method to construct singular monotone function has been given here, and the relation between singular monotone functions and probabilistic properties of the generalized binary expansions of real numbers is also revealed in this method.

本文给出了构造奇异单调函数的一种相当普遍的方法,这种方法也揭示了奇异单调函数与实数的广义二进展式的概率性质之间的联系。

The necessary and sufficient conditions for a Boolean function to be 1-monotone function are presented using spectral methods by M. G. Kavpovsky. This paper points out some errors in the Karpovsky's theory. The correct spectral methods for identification of 1-monotone Boolean functions and their proofs are given.

卡尔普夫斯基(M.G.Karpovsky)运用谱方法提出了布尔函数1-单调的充分必要条件。本文指出了他所提出定理的错误之处,给出了正确的布尔函数1-单调的谱判决方法并加以证明。

In this paper,the relation between the strong law of large numbers of Markov chains and the singular monotone functions has been revealed,and a general approach to construct singular monotone functions has been put forward.

本文揭示了马尔科夫链的强大数定律与奇异单调函数之间的联系,给出了构造奇异单调函数的一种相当普遍的方法。

 
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