查询词典 existence proof

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

In order to prove the existence of the periodic boucing solutions, firstly we will introduce a new coordinate transformation, transform the system from right half plane to the whole plane. And give the relation of the eigenvalues of Hill's equation and the rotation numbers, using this approach and Pioncar -Birkhoff twist theorem, we proved the existence of the periodic bouncing solutions for asymptotical linear oscillator.

对于周期解的存在性证明，我们引进新的坐标变换把右半平面上的碰撞问题转化到整个平面上，给出旋转数与Hill方程的特征值的关系，并以此来度量渐近线性振子，再应用Pioncaré-Birkhoff扭转定理得到周期碰撞解的存在性。

The person's existence is a kind of existence that is oneself, be different from content right-down, this germ the consciousness at the person.

人的存在则是一种自为的存在，全然不同于物，这根源于人的意识。

The existence, development and operation of rule of law always present themselves in one given public discourse or linguistic environment, whilst rule of law in its turn needs and does engender a public discourse to support its own existence, development and operation.

法治的存在、发展与运行总是在一既定的公共话语或者语言环境之中展开的，同时它也需要并产生着支持它自身的存在、发展与运作的公共话语体系。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性，然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

The eternal existence of plight means the endless of salvation;scilicet literary writing examining the existence of individual spirit is a constanttranscendental process.

困境的永恒存在，意味着救赎的永无止境，亦即文学写作对个体精神存在的追问是一个不断超越的过程。

The existence of triple positive solutions for second order multi-point boundary value problem is investigated by using Avery-Peterson fixed point theorem. Gives the sufficient conditions for the existence of three positive solutions of the problems.

研究一类二阶非线性微分方程的n点边值问题正解的存在性，应用Avery-Peterson不动点定理，给出这类边值问题至少存在3个正解的充分条件。

With its perfect projection, the phantom image complements the deficient existence of life, co-exists with the substance in equal power, ironically manifests the incurable insufficiency and imperfection of human fate as the self-blinded Oedipus/the maimed Fisher King Ahab, and double mystifies the eternally insolvable myth of human and his existence.

透过完美的投射，幻象补全了生命里缺残的存在，与真实以同等力道共存，嘲弄地展现人类正是自斨成瞎的Oedipus，是伤残累累的渔夫王Ahab，一生命定不足全和不完美，而永恒无解的人类与他的存在之谜，亦因此更加迷离。

Starting from the real individual, Marx enters into the dimension of practice, and then he answers correctly to these two questions. For the real individual, the nature is not the abstract and isolated self-dependent nature, but the practical and humanized nature, namely the man and the nature are united. The production in which the real individual engaged is the material foundation on which the social consciousness relies, and with the change of social existence, the social consciousness changes as well; in other words, the social consciousness and the social existence are united.

马克思从"现实的个人"出发，进入生活世界的实践维度，对之作出了正确的回答：对于现实的个人而言，自然界不是抽象的、与人割裂的自在自然，而是现实的、与人结合的人化自然，也就是说，人与自然界是统一的；现实的个人所从事的生产劳动，是社会意识得以产生和存在的物质基础，社会意识随着社会存在的变化而变化，也就是说，社会意识与社会存在是统一的。

Man is a free, self-determined existence, he gave The existence of its own definition, and it is women who object, she was a target of significance is being decided.

男人是自由的、自我决定的存在，他给自己的存在定义；而妇女是它者、对象，她作为对象的意义是被决定的。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。