查询词典 integer valued function

In Chapter 5, we study composition operators on some vector-valued analytic function spaces.

第五章研究了向量值解析函数空间上的复合算子。

Math: any binary relation that is complete, transitive, and continuous can be represented by a continuous real-valued utility function

效用指数，效用函数的存在性：理性是必要条件；连续性是充分条件，效用函数也是连续函数。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the βperturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

As we know, with the exception of the Haar function, uni-real-valued orthogonal wavelet filter banks with compact support lack symmetry and do not possess linear phase.

我们知道，紧支撑正交的单一小波除Hair小波外不具有任何对称性，它用作滤波器不可能有线性相位，而由实单一紧支撑正交的尺度函数构造出的二重尺度函数却是对称的，对应的二重小波可以是对称或反对称的，从而使得这种小波在信号处理的过程中具有线性相位。

To calculate any real-order fractional Fouriertransform of a complex valued function, I devised a fast numerical algorithm and testedit with concrete implementation.

为了计算一般函数的任意实数阶分数Fourier变换，提出了一个快速算法及其具体实现，该方法的时间复杂度与一个快速卷积相当。

It is necessary to point out that our results not only extend the classical results of composition operators C〓 on Hardy spaces, Bergman space, Dirichlet space and Nevanlinna class, but also expand composition operator C〓 to sequence {C〓} or C〓C〓 and C〓C〓, and expand basic spaces to the vector-valued analytic function spaces, etc.

应该指出的是，本文不仅涵盖了经典Hardy空间、Bergman空间、Dirichlet空间、Nevanlinna类上复合算子C〓的原有结果，而且进一步弄清了不同空间之间的复合算子的性质，同时扩展了单个复合算子C〓至复合算子序列{C〓}及乘积算子C〓C〓与C〓C〓的情况，基本空间扩展至向量值解析函数空间的情形等等。

This regression problem is dicult for several reasons: large number of examples, large number variables (most of which are discrete and multi-valued), non-stationarity of the distribution, and a conditional distribution of the dependent variable which is very dierent from those usually encountered in typical applications of machine learning and function approximation.

这个回归问题是，邸邪教组织有多少个原因：大量的例子，大批变量（其中大部分是离散和多值），非平稳性的分布，以及有条件的分布因变量，这是非常邸erent从这些一般遇到的典型应用机器学习和函数逼近。

Author give a direct prove of the generic continuity of semicontinuous real-valued function which is defined on topological space.

最后给出了定义在拓扑空间上的半连续实值函数通有连续性的一个直接证明。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。