查询词典 ramified algebraic function element

In this paper, the space-time finite element theory and its application technologies are studied and discussed. Furthermore the space-time finite element method is used to analyze the transient characteristics of electromagnetism equipments. The work is important to develop the numerical method for the transient electromagnetic field. The detailed work is as follow.In the basis theory of finite element method used in the transient engineering problem, the functional theory and the finite element theory are applied to studied the existence condition of a generalized variation principle, which is the basis of the space-time finite element method.

本文在完善时空有限元法的基础理论和应用技术并将该方法应用于解决电磁装置的瞬态过程分析等相关方面进行了深入的研究与探讨，该工作对于发展瞬变电磁场问题的数值计算方法具有重要的意义，为此进行了如下几方面的工作：在工程瞬变问题的有限元方法的基础理论方面，本文应用泛函理论和有限元理论，系统讨论了一般工程瞬变问题的变分定理的存在条件及对应的变分定理。

A method for producing fatty acid alkyl esters and/or glycerin comprising a step of bringing a fat or oil into contact with an alcohol in the presence of a catalyst, wherein the catalyst is at least one catalyst selected from the group consisting of the following to: a metal oxide having an ilmenite structure and/or a slyrankite structure; an oxide containing a metallic element belonging to the Group 12 and a metallic element belonging to the Group 4; a mixed oxide containing a metallic element belonging to the Group 12 and a tetravalent transition metallic element; a metal oxide containing zirconium and at least one metallic element selected from the group consisting of metallic elements belonging to the Groups 4, 5 and 8; and a metal oxide containing anatase type titanium oxide and/or rutile type titanium oxide, and the metal oxide containing a sulfur component of 700 ppm or less.

脂肪酸烷基酯和/或甘油的制造方法包括在催化剂的存在下使脂肪或油与醇接触的步骤，其中，所述催化剂是选自由下列～所组成的组中的至少一种催化剂：具有钛铁矿结构和/或斯里兰卡石结构的金属氧化物；含有属于第12族的金属元素和属于第4族的金属元素的氧化物；含有属于第12族的金属元素和四价过渡金属元素的混合氧化物；含有锆和选自由属于第4、5和8族的金属元素所组成的组中的至少一种金属元素的金属氧化物；和含有锐钛矿型氧化钛和/或金红石型氧化钛的金属氧化物，并且所述金属氧化物含有的硫成分为700ppm以下。

An optimum design for the complex body formed together with the volute casing, base ring and cement foundation of a hydraulic turbine is made by the gradient method and a program is developed on the basis of finite element analysis with the plane and shell element, body element, boundary element and pseudo element.

本文对由水轮机蜗壳、座环和水泥基础所构成的复杂组合体，在采用板壳元、块体元、边界元和伪单元等四类单元进行有限元分析的基础上，选用最速下降法研究了优化设计过程，并编制成程序系统。

A finite element modeling and analysis of the assembly of a breech mechanism in locking condition was carried out with special finite element techniques such as contact element, gap element and spring element.

利用接触元、间隙元和弹簧元特殊单元，对某大口径火炮的炮尾-闩体-曲臂机构进行了闭锁状态下装配体有限元建模和分析。

As a result,an algebraic curve is obtained which is the zero level set of the algebraic function.

曲线重建过程可以归结为求解线性方程组问题。

cryptography ; algebraic attack ; Boolean function ; algebraic immune degree

本文研究了具有1型线性结构的布尔函数f的代数免疫阶，揭示了布尔函数的线性结构对其代数免

In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念，即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内，并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

But , when we changeour trainofthought , we can find that sometimes using mathematical Analysis is a better solution to the linear algebraic problems.In thispaper, use the propertyofcontinuous function andimproper integralof infinite interval and to solve some matrix and quadratic form problems.Algebraic ideas andmethodstosolvemathematical analysisproblems are indicated by several specific examples. Close contactof differentmathematical analysis fields is shown.

该文探讨运用数学分析的有关知识（如：函数连续性、无穷区间的广义积分）和方法解决高等代数中的某些复杂、繁琐的问题；通过具体的实例，阐述高等代数的思想和方法在解决数学分析问题中的作用，揭示不同的数学领域之间的密切联系，例如：二次型与正交变换是代数学的基本内容，其用途十分广泛，而重积分的计算往往存在技术性的困难，若利用"二次型"与"正交变换"的有关理论去解决某些重积分的计算问题是颇有功效的。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。