查询词典 point of infinity

If the flow does not go to infinity, or the functional is bounded from below on the flow and satisfy the condition, then the limit of the flow maybe a critical point.

如果流线不走向无穷远处，或泛函在此流线上下方有界且满足条件，那么极限点就可能是临界点。

We can draw a conclusion from the comparison between natural number and meaning that both exactness and fuzziness are meaningful only lying in a cognitive field and the former is relative, which can only exist at a static and close system; while the latter is universal, which is the result of being the cognitive reference point. Both exactness and fuzziness come from the interaction of the cognitive subject and object, and they are dialectical and unitive, based on the historicity and infinity of human cognition, which determines what we can do, is just to hold the continuum by discreteness and infiniteness by definiteness.

从自然数与意义对比得出的结论是：精确性只存在于一个静态的封闭系统中，是相对的，模糊性是语言充当人类认知参照点的结果，是绝对的，这两个概念都只有放在某个人类认知场才有意义；精确性和模糊性都来源于认知主体和客体的相互作用，它们是辩证统一的，其辩证统一的基础在于人类认识的历史性、无限性决定了人类只能够用离散来把握连续、用有限去追求无限。

Using the recursive formula and computer algebra system-Mathematica, the first six singular point values at infinity of the system are given.

对一类三次系统给出了计算无穷远点奇点量的递推公式，并在计算机上用计算机代数系统Mathematica推导出该系统无穷远点的前6个奇点量，进而导出了无穷远点成为中心和最高阶细焦点的条件，在此基础上得到了一个三次系统在无穷远点分支出6个极限环的实例，指出了极限环的精确位置。

This thesis is devoted to the problems of integral conditions, center -focus determination and bifurcation of limit cycles at degeneratesingular point and the infinity of planar polynomial differential system.

本文主要研究平面多项式微分系统退化奇点与无穷远点的可积条件以及中心焦点判定与极限环分支，全文由七章组成。

Firstly, based on the Duhamel integral and dynamic reciprocity theorem, the generalized Duhamel integral expression is written to a point in the half infinity space under moving load. Secondly, the train load is considered as a series of centralized loads with fixed distance. The dynamic response expression of a point in frequency domain and frequencywavenumber domain are derived out through the Floquet transform and Fourier transform under a moving load, and then the dynamic response of a point is gotten ...

以Duhamel积分为基础，首先应用动力互等定理，得到了移动荷载作用下，半无限大弹性连续介质空间上任意点的动力响应的广义Duhamel积分表达式；然后将列车荷载简化考虑为一系列具有一定间距的集中荷载，采用Floquet变换、Fourier变换等方法，得到了一个集中移动荷载作用下任意拾振点ξ的动力响应在频域和频率波数域内的表达式，进而由叠加原理得到列车荷载作用下的动力响应解；最后，通过算例说明该算法的适用性。

Round toward negative infinity means round the result of a floating-point operation to the representable value nearest to and no greater than the result.

四舍五入到负无限意思是调整浮点运算的结果成最接近结果并且不大於结果的最接近值。

The article covers the full research on such aspects as mathematic description, numerical analysis method and their practical applications. The diphase heating surface is divided into a hot water section, a evaporation section and a micro overheat section , the problems of model switching are avoided successfully between subcritical and supercritical working condition in the model of The diphase heating surface, and the model can be used for between subcritical and supercritical working condition without causing the model stiff infinity prick up problem. The mathematical model and dynamic characteristic account is unified and predigested for the diphase heating surface of once—through boiler under subcritical and supercritical pressure, and propose that the working conditions at phase change point could be used as divide criterion between water region and steam region under supercritical pressure, the problems are solved successfully between water and steam phase change point under supercritical pressure.

本文在过程的数学描述、数值分析以及实际应用等方面进行了系统的研究分析，将双相受热面统一划分为热水段、蒸发段和微过热段三段，所建立的双相受热面模型不但成功地避免了超临界工况与亚临界工况间的模型切换，而且消除了由区段划分欠妥所引起的模型刚性无限加剧的问题，统一并简化了超临界及亚临界压力下直流锅炉双相区段的数学模型和动态特性计算，而且提出了利用相变点工况作为超临界压力下划分汽水区域的标准，解决了超临界压力下水与蒸汽的相变点问题。

This is a first time that the problem of limit cycles bifurcating from a degenerate singular point and from infinity under the synchronous perturbed conditions is investigated.

得到了三次、五次、七次系统分别可以在无穷远点分支出7个、8个、9个大振幅极限环的结论，这几个结果是目前最好的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。