| 1. | Does monotone locally bounded function definitely have extreme
"单调有界函数必有极限"吗 |
| 2. | Theorem 2 the product of a bounded function and an infinitesimal is an infinitesimal
定理2有界函数与无穷小的乘积是无穷小。 |
| 3. | Almost bounded function
殆有界函数 |
| 4. | A priori point - wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals
摘要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。 |
| 5. | A general estimation of the nth derivation of the function is presented by using the principle of the inductive model and the characters of the bounded functions
对有界正则函数族中的函数，根据最大模原理和有界函数的系数不等式，得到了n阶导数的准确估计式。 |
| 6. | Using conception of relative rate of change , a definition of probability density function is given based on the class of differentiable monotone function which is bounded on domain of definition , calculation and properties of the mathematical expectation are discussed
摘要对一类单调可微的有界函数，利用相对变化率的概念，定义了一种由该函数生成的概率密度函数。 |
| 7. | We compare the approximation of an analytic function f by its taylor polynomial and its poisson partial sum with the same number of terms and illustrate that for functions with limit zero at infinity and for bounded functions the poisson expansion provides a better approximation to the function than the taylor expansion
在第三章中，介绍了rb曲线与poisson曲线的概念以及基本的几何性质，指出了poisson基函数与有理bernstein基函数之间存在的关系，并且将解析函数的taylor逼近与poisson逼近进行比较。实例表明，对于在无穷远处极限为0的函数以及有界函数， poisson逼近比taylor逼近效果要好。 |
| 8. | Then , the dynamical programming equations and their associated boundary and final time conditions for the problems of maximization of reliability and of maximization of mean first - passage time are formulated . the optimal control laws are " bang - bang " controls which are derived from the dynamical programming equations and the control constraints
然后利用随机平均法及随机动态规划原理导出了以最大可靠性为目标的随机最优控制策略，说明了当控制力为有界函数时，随机最优控制即是bang - bang控制。 |
