对满足一类新的含反常积分非线性不等式的有界函数建立了先验逐点估计。
Apriori point-wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals.
同已有的结果相比，我们不要求函数有界，可微或严格增加等条件。
In our results, we do not require activation functions to be bounded, differentiable or strictly increasing.
第二章研究有界正则函数导数的估计问题。
In second chapter, we discuss the problems of estimating in the derivation of bounded functions.
良有界算子是这样一类算子，它对于在某个紧区间上绝对连续的函数具有有界的函数演算。
Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.
本文利用特征函数方法求解了有界圆柱体在冲击载荷作用下的动应力响应历程和分布规律。
This paper solves the histories and distributions of dynamic stresses in finite solid cylinder under shocking load by using eigenfunction method.
图像的卡通部分是由一个有界变差(BV)函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。
The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.
证明了等价关系族构成的有界格，建立了函数复合的最大公因式、最小公倍式等概念，并对其存在唯一性作出证明。
This paper establishes the concept of maximal common factor and minimal common multiple for compound function and proves their unique existence.
在可测模糊随机函数及模糊值函数积分的基础上，研究了模糊值函数的有界控制收敛定理。
This paper gives the control convergent theorem of integral for fuzzy random functions on basis fuzzy functions and fuzzy integral.
以影响函数的有界性来描述估计量的局部稳健性。
The local robustness is described by the bounded Influence Function.
本文在一维情形下对拟可微函数的星核进行了讨论，证明了拟微分星-有界等价子类的存在性；
In this paper, the star-kernel of a quasi-differentiable function in one-dimensional space is studied.
在实际中，粗糙变量不一定是实值，他们的值有可能是连续函数、有界变差函数等等。
In practice, rough variables may not be real number values, and their values may be continuous functions, bounded variation functions and so on.
作为应用，证明了任意有界变差函数都与某可微函数在除过测度任意小的集合外重合。
It is also proved as application that any bounded variation function can be seen as a differentiable function beside a set of arbitrary small measure.
文章给出了单调函数、有界变差函数、绝对连续函数的定义并讨论了三者之间的关系。
The paper gives the definitions of monotonic function, bounded variation function and absolute continuous function, and discusses the relationship of the three.
基于李雅普·诺夫函数方法，给出了无激励非线性切换系统一致有界和一致最终有界的充分条件。
Using multiple Lyapunov functions, a sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.
对相依时间序列数据，在一定的条件下已有人证明了局部多项式加权回归系数估计服从渐近正态分布，其中核函数是有界的。
Fan J and Gijbels I gave the asymptotic normality of local polynomial regression estimation in dependent time series, where the weighted function is bounded.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
该模型具有数值可加型标准综合函数所具有的性质，即单调性、有界性和幂等性。
This model occupies some properties of additive standard synthesis function, namely, monotonic, limited and idempotent.
目的讨论变量有界线性规划问题的熵函数解法。
Aim To give a maximum entropy method for linear programming with bounded variables.
本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。
In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.
针对不同情形，通过恰当地利用双曲正切函数，提出了三种连续有界的协同控制器。
According to different cases, three kinds of continuous and bounded coordination controllers are proposed with the novel use of hyperbolic tangent functions.
在论证过程中充分利用了解析函数的性质，系统推导了内闭一致有界与内闭一致收敛的关系。
The author also studies the relationship between internally closed uniform bound and internally closed uniform convergence.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
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