查询词典 integrable function

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

Theorem 1 If a function is continuous on the closed interval ,it is integrable on .

设在区间上连续，则在上可积。

First, the backward Kolmogorov equation for the conditional reliability function and the Pontryagin equation for mean first-passage time and then- associated boundary and initial conditions are derived based on the stochastic averaging methods for quasi non-integrable, quasi integrable and quasi partially integ...

首先利用拟不可积、拟可积非共振及拟部分可积非共振Hamilton系统的随机平均法分别给出了研究该系统首次穿越问题的提法，包括计算条件可靠性函数的后向Kolmogorov方程及计算平均首次穿越时间的Pontryagin方程及其边值条件。

The paper studied how to structure a kind of counterexample function in the analysis and widespread application emphatically, further pointed out the misunderstandings easily appeared in the concept and theorem of continuity, derivable, integrable, and other analytic properties of the function and gave the corresponding counter-example finally.

研究了一类函数在分析学相关反例构造中的应用，进一步指出有关函数的连续、可导、可积等分析性质的概念与定理中容易出现的误区，并给出相应的反例，希望能引起高校师生对该类函数的重视，进一步提高教学效果。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

The anti-integrable limit theory is much simpler than the KAM theory since it is just obtained as a variation of the standard implicit function theorem.

近年来提出的反可积极限理论是研究完全混沌系统的扰动。

While in quantum mechanics the state of a system is described by a wave function, which is a non-zero square modulus integrable complex value function defined on the configuration space of the system.

整个世界的运动是决定论的。而在量子力学中每个体系的状态由一个非零的定义在位形空间上模平方可积的复值函数所描写。

Realizing system data management method is discussed by combinating files manage system with relational database,described the function of the integrable ware management system and integrable ware combination platform are described.

探讨了利用文件管理系统与关系数据库相结合实现系统数据管理的方法，描述了积件库管理平台和积件组合平台的功能。

The growth of functions in these spaces depends on a weighted function ρ. We investigate the relation between growth and boundary values of the functions, and prove that a function or its radial derivative is in one of the spaces if and only if the p'integral average of the difference of its boundary value function is integrable or bounded.

研究这些函数空间中函数的增长性与边界值的关系，得到了函数或其径向导数属于相应空间的充分必要条件是其边界值差分的p次积分平均应具备一定的可积性或有界性。

The main tool is the notion of the Lipschitz condition with positive non-decreasing integrable function L-average along the piecewise geodesic which includes theclassical Lipschitz condition as well as theγ-condition as special cases.

同时，我们在研究中引入了沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件的概念，从而把流形上的Kantorovich定理及Smale理论统一起来研究。

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system.

分析了一种新的三维自治混沌系统吸引子的复合结构。

ON shut rivals out of their transmission systems and shy away from reinvesting their profits in network improvements.

ON将竞争者挡在了其输送体系之后，并不愿将其收益再投资于网络改建工作。