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bounded function 【數學】有界函數,囿函數。

Does monotone locally bounded function definitely have extreme “單調有界函數必有極限“嗎

bounded set

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,介紹了rb曲線與poisson曲線的概念以及基本的幾何性質,指出了poisson基函數與有理bernstein基函數之間存在的關系,并且將解析函數的taylor逼近與poisson逼近進行比較。實例表明,對于在無窮遠處極限為0的函數以及有界函數, poisson逼近比taylor逼近效果要好。

The overall idea is that the system of robotic manipulators is decomposed as two parts : one is nominal system with perfect knowledge of dynamic model and the other is system with uncertainties . ctc is used to control nominal system . for uncertainties system , we utilize the regressor of robotic system or bounding function on uncertainties to design 基本思想都是將不確定性機器人系統分解成標稱系統和不確定系統:對于標稱系統,采用計算力矩控制;對于不確定系統,利用機器人系統的回歸矩陣或集中不確定性上界的包絡函數,設計不同的補償控制器。

This dissection is mainly to discuss the problems of estimating in the derivation of bounded functions , the coefficients of bounded regular functions and schwarz - pick lemma for the derivation on the hyperbolic metric 本文研究有界正則函數導數和系數的估計問題,以及雙曲度量下關于導數的schwarz - pick不等式。

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 對有界正則函數族中的函數,根據最大模原理和有界函數的系數不等式,得到了n階導數的準確估計式。

A priori point - wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals 摘要對滿足一類新的含反常積分非線性不等式的有界函數建立了先驗逐點估計。

Almost bounded function 殆有界函數

Theorem 2 the product of a bounded function and an infinitesimal is an infinitesimal 定理2有界函數與無窮小的乘積是無窮小。

Theorem 2 the product of a bounded function and an infinitesimal is an infinitesimal 推論1常數與無窮小的乘積是無窮小。

Does monotone locally bounded function definitely have extreme “單調有界函數必有極限“嗎