查询词典 continuity of 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。

Limit the type of function is more extensive and complex, involving a bounded function, infinitely small amount, equivalent to infinitesimal, the continuity of function, and many other content.

函数极限的类型较为广泛、复杂，涉及到有界函数，无穷小量，等价无穷小，函数的连续性等多方面的内容。

This paper discusses the continuity of elementary function and some special non-elementary function and how to decide the interval point by the conception of function' continuity.

本文利用函数的连续性定义，详细讨论了初等函数的连续性，以及几个特殊非初等函数的连续性和间断点的类型判断，展示了一些复杂的非初等函数连续性的讨论方法，这不仅说明了分段函数的多样性，而且对于研究函数的丰富性具有重要的指导意义。

The paper makes research on the idea of" integration "and"continuity"used in the Guangzhou urban design which involving the integration and continuity of the function and ecological system, the texture,the historic eleme.

在简要分析中轴线地区的形成与演变基础上，探讨了当前广州城市形态呈现的局部匀质而整体拼贴的特征；结合广州市传统中轴线城市设计项目，分析了"整体"和"延续"的城市设计理念与策略在规划中的运用，包括城市功能与生态、城市肌理、城市历史要素、城市重要界面和城市开敞空间的整合与延续。

In this paper, we discuss two math problems:On the continuity of function which displays 0/0 type on certain point If China mathmaticiam Hua Luogeng did the work on the nonstandard number.

关于两个数学问题ⅰ呈0/0型函数的连续性问题；中国数学家在非标准数学方面是否有过工作的问题；对前者给出探讨性结论，对后者给出考证。

This article is mainly discussed the relation between some important concepts and conclusions about the Limit of Sequence, the Limit, Continuity ,Differentiability, Integrability of Function, the Infinite Series , and the Limit, Continuity, Derivativeness,Differentiability of Multivariable Function ,as well as the Multiple Integral, and Integral with parameter .

本文对数列极限，一元函数的极限、连续性、可微性、可积性，无穷级数，多元函数的极限、连续性、可导性、可微性以及重积分，参变量积分中的一些重要概念和结论之间的关系进行了一些探讨，每一个问题都作了适当说明或举出反例，并对一些相关的内容进行了讨论，得到若干结果。

The author uses I-fuzzy quasi-coincident neighborhood system to introduce the concepts of I-fuzzy first countability and I-fuzzy second countability, and proves the degree to second countability in each of I-fuzzy topological space must be less than that to first countability, and gives the equivalent characterations about the continuity of function by convergence of sequences in first countable I-fuzzy topological spaces.

作者利用方进明在[4]中提出的I-fuzzy重域系引入了I-fuzzy拓扑空间的第一可数性和第二可数性的概念，证明了一个I-fuzzy拓扑空间空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是第一可数的I-fuzzy拓扑空间的程度，并且在第一可数的I-fuzzy拓扑空间中对映射的连续性进行了等价刻画。

Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of function s.

连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。

The principles are as follows:①preliminary interpretation is carried out on crosswell seismic data in depth domain to establish an accurate velocity model;②sinc interpolating function is used in depth-time conversion to realize waveform fidelity;③the recognition of surface seismic data is utilized to ascertain the reflection characteristics of crosswell seismic data in time domain;④ good spatial continuity of surface seismic data is adopted to retrieve the "hopper" defect in crosswell seismic profiles and the deficiency of lateral contrast between crosswell seismic data;⑤in fine calibration of well-side traces of crosswells and surface seismic data, coincident time-depth relation is used to match two seismic data so as to make the calibration more reasonable;⑥in multi-crosswell seismic data inversion by sparse spike inversion method, lateral restraints are strengthened to ensure the continuity of inversed wave impedance profile.

实现反演的基本原理是：对深度域井间地震资料进行初步解释；建立精确的速度模型；在对井间地震剖面进行深时转换时采用sinc插值函数实现波形保真；利用对地面地震资料的认识来落实时间域井间地震资料的反射特征；利用地面地震资料良好的空间连续性弥补井间地震剖面的"漏斗"缺陷和井间资料之间横向对比性的不足；在井间地震和地面地震井旁道精细标定中，通过一致的时深关系来实现两种地震资料之间的匹配，使井旁道的标定更加合理；在利用稀疏脉冲反演方法进行连井井间地震资料反演时，通过增强横向约束保证反演波阻抗剖面的连续性。

This paper helps to understand the connotation of the theory by making a thorough analysis and summary of the definition and the judgement condition of function's uniform continuity, and by producing some good ways to demonstrate the function's non-uniform continuity.

数学分析教材只给出一致连续的概念和判断函数在闭区间上一致连续的G·康托定理，内容篇幅少，为了使初学者对函数一致连续性的理论有正确的理解和全面的掌握，作为教材内容的适当

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。