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数值函数
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  valued functions
     The convergence theorem for the Henstock integral of fuzzy number valued functions is given. Especially,a convergence theorem of the Kaleva′s integral is given,which is a extension of a lot of convergence theorems for Kaleva′s integral.
     给出模糊数值函数 Henstock积分的收敛定理 ,特别给出了 Kaleva积分的收敛定理 ,该结果推广了 Kaleva积分以前若干个收敛定理
短句来源
     Let G be a graph with vertex set V(G) and edge set E(G), and let g(x) and f(x) be two integer valued functions defined on V(G) such that 0≤g(x)
     设 G是一个图 ,用 V(G)和 E(G)表示它的顶点集和边集 ,并设 g(x)和 f (x)是定义在 V(G)上的两个整数值函数 ,且对任意的 x∈ V(G)有 0≤ g(x)
短句来源
     LIMIT THEOREMS FOR THE INTEGRALS OF SCALAR VALUED FUNCTIONS WITH RESPECT TO A SET VALUED MEASURE
     数值函数关于集值测度的积分的极限定理
短句来源
     The Advances of the Calculus of Fuzzy Number Valued Functions
     模糊数值函数分析学的若干新进展
     Let g and f be two integer valued functions defined on V(G) such that 4≤g(x)≤f(x) for every x∈V(G). In this paper, it is proved that for any path P with length 2m of an (mg+m-1,mf-m+1) graph G, there exists a (g,f) factorization of G 2 orthogonal to P.
     设g和f分别是定义在图G的顶点集合V(G)上的整数值函数且对每个x∈V(G)有4≤g(x)≤f(x).证明了若G是一个(mg+m-1,mf-m+1)-图,则对G中任意给定的长为2m的路P,G有一个(g,f)-因子分解2-正交于P.
短句来源
  number valued function
     On an arbitrary subset in a general fuzzy measure space, we first define the generalized fuzzy number-valued Choquet integral for a given μ-integral fuzzy number valued function.
     在一般模糊测度空间的任一子集上,针对给定的μ-可积数模糊数值函数,定义所谓广义的模糊数值Choquet积分,并将这种积分整体看成可测空间上的模糊数值集函数.
短句来源
     On an arbitrary subset of K-quasi-additive fuzzy measures space, aim at an given -integrable fuzzy number valued function, we establish the K-quasi-additive fuzzy number valued integrals, and regard all of this kind of integrals as set functions being taken valued fuzzy number valued on the measurable spaces, applying the integrals transformation theormem, we discuss their null-additivity and absolute continuity etc.
     在K-拟可加模糊测度空间的任一子集上,针对给定的某一个μ-可积模糊数值函数,建立所谓的K-拟可加模糊数值积分. 进而将这种积分整体看成可测空间上取值于模糊数值的集函数,应用其积分转换定理,讨论它们的零可加性和绝对连续性等.
短句来源
  numerical function
     A hybrid genetic algorithm for locating the global optimization of numerical function is put forward by designing self-adaptive genetic operators and setting the Powell algorithm in genetic algorithm.
     通过引入与进化代数相关的交叉概率和与个体适应度相关的变异概率的自适应遗传算子同时把Powell局部寻优算法融入遗传算法的搜索过程构成了一种数值函数全局寻优的混合遗传算法.
短句来源
     A Kind of Hybrid Genetic Algorithm Based on Pure Numerical Function Optimization
     基于纯数值函数优化的一种混合遗传算法
短句来源
     Genetic algorithm of unequal position permutation for nonlinear numerical function optimization
     非线性数值函数优化中非等位交换的遗传算法
短句来源
     the latter is a powerful numerical function optimization technique.
     后者是强有力的数值函数优化方法。
短句来源
     ECJ which we use to implement GA and do numerical experiment is introduced in this thesis(2)A clonal selection algorithm based on clone selection principle to solve numerical function optimization is proposed.
     (2)根据人工免疫系统中的克隆选择原理的框架,实现了一种基于克隆选择的算法来解决无约束的数值函数优化问题。
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  “数值函数”译为未确定词的双语例句
     Let g and f be two-integer-valued functions defined on V(G) such that 3≤g(x)
     设g和f分别是定义在图G的顶点集合V(G)上的两个整数值函数且对每个x∈V(G)有3≤g(x)≤f(x)。
短句来源
     Let g and f be integer-valued functions defined on V(G) such that 0≤g(x)≤f(x) for every x∈V(G).
     设g和f分别是定义在图G的顶点集合V(G)上的整数值函数且对每个x∈V(G)有0≤g(x)≤f(x)。
短句来源
     let G be a (mg+k,mf-k)-graph(1≤k
     设G是一个 (mg +k ,mf -k) -图 (1≤k 数值函数且对每个x∈V(G)有 0≤g(x)≤f(x) ,H是G的任意一个有k条边的子图。
短句来源
     Let G be connected graph with 1-factor F, and let g and f be two positive integer-valued functions defined on V(G) such that 0≤g(x)
     设 G是一个连通图且有一个 1 -因子 F,g和 f是定义在 V( G)上的整数值函数并且对每个 x∈V( G)都有 0≤g( x)
短句来源
     We prove a nonhomgeneous result for boundary value problems of fuzzy differential equations x(t)=f(t, x(t)),x(0)=x_0,x(1)=x_1. This result extends the generalized Schauder theorem in metric spaces.
     利用距离空间中的广义Schauder定理,在更一般的增长条件下,讨论了一类非齐次性的模糊微分方程x″(t)=f(t,x(t)),x(0)=x0,x(1)=x1的边值问题的存在性,这时f是连续的模糊数值函数,推广了文献[4,5]的结果.
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  valued functions
Limits of sequences of operators on spaces of vector valued functions
      
We generalize the celebrated theorem of Stein on the maximal operator of a sequence of translation invariant operators, from the scalar case to vector valued functions.
      
For p∈(-∞, ∞) letQp(?Δ) be the space of all complex-valued functions f on the unit circle ?Δ satisfying, where the supremum is taken over all subarcs I ? ?Δ with the arclength |I|.
      
We first show that if p>amp;gt;1, thenQp(?Δ)=BMO(?Δ), the space of complex-valued functions with bounded mean oscillation on ?Δ.
      
For real-valued functions defined on Cantor triadic set, a derivative with corresponding formula of Newton-Leibniz's type is given.
      
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  numerical function
Necessary and sufficient conditions are derived for an arbitrary numerical function to be equivalent to some Shannon function.
      
In order to verify the effectiveness of the hybrid algorithm, it is applied to solving some typical numerical function optimization problems which are poorly solved by traditional genetic algorithms.
      
Luenberger [8] introduced the so-called benefit function that converts preferences into a numerical function that has some cardinal meaning.
      
An attempt to characterize the physical realizability of an abstract mapping process in terms of the Turing computability of an associated numerical function is described.
      
In this article we introduce the recessive gene model (RGM), as a tool in numerical function optimization with binary coded genetic algorithms (GAs).
      
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In this paper the existence and uniqueness of the solution of the boundary value problem for the ordinary differential equation (u—scalar function) and the asymptotic expansion of the solution with respect to the small parameter were discussed, taking the smoothing of discontinuous solutions of Riemann problem for quasilinear hyperbolic differential equations as a background. The asymptotic expansion of the solution of the equation for the given initial values was also given in passing.

本文以准线性双曲型方程Riemann问题间断解展平为背景,讨论了常微分方程边值问题 e d~2u/dξ~2=F(ξ,u)du/dξ (u——数值函数)u(-∞,∈)=u~-(∈),u(∞,∈)=u~+(∈)解的存在性、唯一性和解对小参数∈的渐近展开,顺便,也给出了方程满足初值条件 l(ξ_0,∈)=a(∈),u'(ξ_0,∈)=b(∈)/∈的解之渐近展开式。

An elementary proof of an operational property of pure function in a matrix is dealt with by means of the polynomial expression in tnis article, i. e. Let A be an nxn-matrix in complex field. (λ), ψ(a)==f[(a)] be complex functions, pure functions of matrix A-(A), ψ(A) are defined, B = (A), then f[B] is also defined and ψ(A)=f[B]=f[(A)].

本文利用矩阵纯函数的多项式表示来给出矩阵纯函数的复合函数运算性质的一个初等证法.即证明:设A为复合域上的n阶方阵,(?)(λ),ψ(λ)=f[(?)(λ)]为复数数值函数,纯函数(?)(A),ψ(A),是确定的,那么命B=(?)(A),则f(B)也是确定的,并且ψ(A)=f[B]=f[(?)(A)].

A post-processing code INETPL, using M150 computer in Tsinghua University, was presented. The basic rules and methods to develop the three-dimensional depictions, two-dimentional isograms and one-dimensional graphs of two- dimensional arrays were described.

本文介绍了在清华大学 M—150计算机上编制成功的 INETPL图形输出程序包,叙述了利用计算机绘制两维数值函数的三维立体图、等值线图以及一维函数图的主要原理和方法。

 
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