查询词典 existence proof

By mean of the method of upper and lower solutions, we will obtain a existence theorem like Kazdan-Warners. Using this theorem, we will study the vortex equation in holomorphic line bundle over complex manifold and prove a theorem of existence of Hermitian metric with a prescribed holomorphic section.

在本论文的最后部分，我们在紧复流形上讨论一类Kazdan-Warner型方程，用上下解方法得到了光滑解存在的Kazdan-Warner型定理，并将其用于研究全纯线丛的涡旋方程，得到了一个具有预定全纯截面的厄米度量的存在定理。

And the existence of the expected rate cut, so that next year the bond market continued to take a prerequisite for the existence of cattle.

而降息预期的存在，也让明年债市的继续走牛存在了前提。

Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

就R n空间中消耗为单调单值型的投入产出方程，在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，然后利用外部逼近法结合方程截断技巧证明了投入产出方程的解的连续性，最后给出了相对应于存在性和连续性的经济解释。

Secondly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of set-valued input-output equation in R n in the similar economical backgrounds in present articles too and then gain the solution's continuity by interior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

对于R n空间中消耗为单调集值型的投入产出方程，也在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，接着利用内部逼近法结合方程截断技巧对投入产出方程的解的连续性给予了证明，然后顺便简单的介绍了运用外部逼近法来得到方程的解的连续性的思路，最后也给出了相对应于存在性和连续性的经济意义。

O1 c compactness of the entropy equation; At last, coupling with Kinetic formulation, we can obtain the existence of a strong convergent sequence, then the limit function is just the entropy weak solution of the original systems.3. Existence of global entropy solutions to an inhomogeneous elastodynamics system.

o1 c紧性，最后结合Kinetic理论得到粘性解存在强收敛的子列，从而可得该极限函数即为原方程组的熵弱解。3、研究了一类非齐次弹性力学方程组整体熵解的存在性。

The conveyancing scale fees were already in existence when I came into the picture, and had been in existence at least since the end of World War II.

当我入行时，物业转易定额收费已经存在，并且至少在第二次世界大战后便已经存在。

And it is impossible that any one can explain the passing out of one existence, and the entering into a new existence, or the growth, increase, and development of consciousness, independent of corporeality, feeling, perception, and mental formations.

这是不可能的，任何人可以解释结业的一个存在，并进入了一个新的存在，或增长，增加与发展的意识，独立的corporeality ，感觉，认知，心理编队。

But Stoic introduced a pair of category named corporeality and incorporeality, it separated the being and the time, and considered that time is incorporeality, thereby avoided the existence of undermination and imperfection in time, and withdrew the necessity of the existence of non-time. In brief, the world of idea and the invariable substance do not exist.

但斯多亚学派引入实在性与非实在性这对范畴，分离了存在与时间的关联性，认为时间是非实在性的，从而避免时间中存在的易朽和不完善，也就取消了无时间的存在者的必要性，要之，理念世界和不变的实体是没有必要设立的。

The basic proposition of culturology—"One\'s cultural existence means his/her nature"—tells us that people are the subject of obtaining value consciousness from a cultural world, and they are also the existence and implementer of cultural consciousness.

文化学的基本命题"人的文化存在即他的本质"告诉我们，人是从文化世界获得价值意识的主体，是文化意识上的存在者和实现者。

The instinctive wants of the animal and the intellectual wants of Cuvier, the wants of nature and of the mind of Leverrier were alike, and thus the results; here the thoughts of an existence, there an existence.

动物的本能需求和居维叶的理性需求是吻合的，大自然的需求和勒维耶的智慧是类似的，於是，结果出现了。哪里有"存在"的想法，哪里就有"存在"的事实。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。