查询词典 existence of extremum

First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础，然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念，建立加工仿真的层次结构和逻辑结构，阐述双刀车削仿真系统的静态模型和动态模型建立方法，分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质；研究NC代码解读技术和双刀加工时间段递归子分划技术，为驱动各仿真单元作数据准备；通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉，通过求多边形的交集判断刀架与刀架是否干涉。

In chapter three, the new concepts of the bifurcation point and asymptotic bifurcation point of compact continuous operators in Menger PN-spaces are introduced. Some sufficient conditions for the existence of the bifurcation point and asymptotic bifurcation point are obtained. And the problems on the intrinsic value and intrinsic element of compact continuous operators are studied in Menger PN-spaces. A series of theorems on the existence of the intrinsic value and intrinsic element are obtained.

第三章，在概率赋范线性空间中提出非线性算子的歧点和渐近歧点的新概念，获得了非线性算子存在歧点和渐近歧点的充分条件；讨论了Menger概率赋范线性空间中非线性算子的固有值和固有元问题，得到了非线性算子存在固有值和固有元的一系列充分条件。

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

In this paper We study existence of solutions of variational inequalities in a reflexive Banach Space,and acquire several existence results.

本文研究自反Banach空间中的变分不等方程解的存在性，得到了存在性的几个结果。

Of course, the shadow does not appear there is more than just a single individual, any thing on the back of the existence of which is to be inseparable from the body's own existence, saying that depends on the presence of body exists, it is also the a very reasonable explanation.

当然，影子的出现也并不仅仅只是一个单独存在着的个体，任何的事物的背面的存在它都是要离不开本体自身的存在的，说是要依赖于本体的存在而存在，亦也是一种十分合理地解释。

Finally, by using a topological global existence result, we give the global existence of bifurcated periodic solutions and it is found that the system exists always a nonconstant periodic solution after the second critical value of the delay.

通过使用一个拓扑的全局存在性结果，还给出了分支周期解的全局存在性。结果表明在时滞的第二个临界值以后，系统总是存在一个非常数周期解。

These transitional stages are the blastogenesis, the first stage from the moment of conception to the implantation or nidation after around 14 days. Secondly, the stage following on from nidation until the moment when the foetus has a viable independent existence, and finally the stage from viable independent existence until the actual birth.

这些过渡阶段是芽基发育，即从受孕到植入或着床的时刻起大约14天的第一阶段；第二阶段从着床开始，到胎儿已经成为可存活的独立的存在；第三阶段从可存活的独立存在到实际出生。

The eighteenth century has certain coincidence with the Renaissance in some extent, both of them blazon forth the existence of individual and atman, and emphasize the individual value and strength, the eighteenth century raises the Renaissance spirit—the subject existence again.

十八世纪在某种程度上与文艺复兴时期存在着一定的暗合之处，二者均张扬个体的存在性，张扬自我，突显个体生命的价值与力量，十八世纪是对文艺复兴时代精神——主体存在性的再次扬起。

The existence of solutions to a type of nonlinear ordinary differential equations four-point boundary value problems with p-Laplace operator was studied by means of the extension of Mawhin s continuation theorem with sufficient conditions obtained for the existence of solution.

利用Mawhin连续引理的推广形式，研究一类具 p-Laplace算子的非线性常微分方程四点边值问题解的存在性，得到了方程解存在的充分条件。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。