查询词典 existence proof

In addition also introduced the differential theorem of mean in the proof equality and the inequality, the certificate equation root existence, asks the limit, to ask the approximate value, as well as aspect and so on research function condition should thus deepen to the differential theorem of mean understanding.

此外还介绍了微分中值定理在证明等式和不等式、证明方程根的存在性、求极限、求近似值，以及研究函数性态等方面的应用，从而加深对微分中值定理的理解。

This is ample proof of its existence value.

这充分证明它存在的价值。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

We give a brief proof of the existence theorem of Supremum and Infimum of a bounded set of fuzzy numbers given by Wu cong-xin and Wu chong in [30] . It is used to establish the monotone convergence theorem and the nest theorem of closed intervals on E〓,τ

给出了吴从忻、吴冲[30]得到的模糊数集的确界存在定理的一个简洁证明，并利用此定理在空间E〓，τ(l中建立了模糊数序列的单调收敛定理和闭区间套定理。

Butseems like the circularity is not that bad, at least itisthe proof of my existence.

不过这个轮回还是不错的，至少证明我真切地活着

The idea of zero cost cycle is devised to solve the critical problem of minimum cost flow. Additional related results obtained include: the theory of bottleneck analysis based on minimum cost augmentation chain and zero cost cycle; the proof of the existence condition and the coherence condition of bottlenecks based on network output; methods to solve various kinds of process bottlenecks; the development of the algorithms of optimization and bottleneck analysis of MCPN (i. e, MCPN-CBA1 and MCPN-CBA2); a series of scheduling strategies and algorithms based on cost analysis, profit evaluation and bottlenecks of process flow line.

四。提出了基于工艺流程成本分析、利润评价的两类生产网络模式：最小成本生产网络和最大利润生产网络；首次提出零成本圈的概念，从而提出并研究了最小费用流的临界问题；创建了基于最小成本增广链、零成本圈的瓶颈分析理论，证明了过程瓶颈的存在性条件以及基于网络加工量的瓶颈一致性条件；给出了求解各类瓶颈的关键技术，研究开发了MCPN的瓶颈分析算法MCPN-CBA1、MCPN-CBA2；提出了一系列基于工艺流程成本分析、利润评价及过程瓶颈的调度策略和调度算法。

This thesis contains five chapters. Chapter 1 introduces the cause, purpose and value of the thesis and the problems that affect the existence of the east-and-west-facing residence. Chapter 2 analyzes the affecting factors of the facing of residence including the thermo-comfortability, the spiritual and mental state and the ecological environment etc. Chapter 3 analyzes the specific circumstances, under which the east-and-west-facing residence is practicable. For example, in order to enjoy the view, to make good use of the land and to form the endocentric residential area, we can choose the east-and-west-facing residence. Chapter 4 puts forward some measurements, including the planning design, the architecture design and the constitution design, to make the east-and-west-facing residence hot-proof so that we can eliminate the most disadvantageous factor in the south. Chapter 5 gives some examples of the east-and-west-facing residence in the south.

本文分五章，第一章提出本文研究的起因、范围、目的、意义及南方地区东西向住宅存在的问题；第二章分析了影响住宅朝向的各因素(包括热舒适性、精神心理、生态环境等)；第三章分析了东西向住宅在一些特定条件下(如景观、地形地貌、小区内聚围合等)在南方地区的适应性；第四章提出了解决南方地区东西向住宅防热的一系列(规划设计、建筑设计、构造设计等)措施，以解决东西向住宅在南方地区存在的最大障碍；第五章列举了南方地区东西向住宅的一些实例；最后在结语中总结了东西向住宅在南方地区存在的现实意义及实用价值，并展望了住宅建设发展的前景。

Finally, the gestures E Herder paints with neutral lacquer on pressed board attest to the truth of impermanence as they seem to evanesce leaving only their burnt shadows as proof of their brief existence.

最终，易鹤达在压力版上使用中性油漆所表达的形式，证实着短暂而无常的真实，正像这些色彩渐渐消失在它们的渐趋黯淡的光彩中，是一个短暂存在的证明。

We improve the conditions and the proof of the Equilibrium Existence Theorem of perfect competitive markets in[1],and make them clearer and more reasonable.

改进了教材［1］中完全竞争市场均衡志存在定理的条件与证明，使之更为合理与清晰。

Although massive filamentary structures have been often observed at relatively small distances from us, solid proof of their existence in the more distant Universe has been lacking until now.

虽然在相对较小的距离内，我们常常观测到这类大质量丝缕结构，但在本报告之前，如此大距离上的确凿证据却一直缺乏。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。