查询词典 generalization

Although classical Ekeland is equivalent to classical Caristi fixed point theorem, we can not make the same degree of generalization for them.

另外，我们指出即使古典的Caristi不动点定理和Ekeland变分原理是等价的，但是Ekeland变分原理不能和Caristi不动点定理作相同程度的推广。

The most plausible operatorial generalization of result of preceding paragraph is known as the "mean ergodic theorem for unitary operators."

前段结果可以推广到算子去，其中最近情近理的推广是"单算子的平均遍历定理"。

A modified Euclidean algorithm was proposed by the generalization of synthetic division. It didn't judge the degree of polynomial and could decrease the complexity of decoding and hardware circuit and improve the decoding speed.

通过对综合除法进行推广，提出了一种改进型欧几里德算法，它不需要进行多项式次数的判断，能够降低译码的复杂度，减少硬件电路的复杂性，提高译码速度。

And then, in this part, following the idea of Topping [51, 52], we will show an isoperimetric inequality (6.3.1) on surfaces of non-positive Gaussian curvature by means of the curve shortening flow on surfaces, this inequality can be considered as a generalization of the Banchoff-Pohl inequality in the Euclidean plane.

然后，仿照Topping[51]和[52]利用平均曲率流证明等周不等式的想法，我们利用曲面上的曲线缩短流在Gauss曲率非正的曲面上证明了一个等周不等式(6.3.1)，它可以看成欧氏平面上Banchoff-Pohl [8]不等式在曲面上的推广。

Where one might have been inclined to attend solely to the positive and general characteristics of studies of Chinese gardens that can be obtained from generalization and abstraction, I pursued the opposite direction of thinking toward particularity and exemplarity.

当很多人倾向于仅仅关注中国园林研究中那些绝对的和普遍的特征，然后通过抽象和普遍化的手段来完成；在这些地方，我则从一个相反的角度来思考中国园林研究中的特殊性和示范性。

Starting with some basic assumptions about natural kinds, he derived an exponential decay function as the form of the universal generalization gradient, which accords strikingly well with a wide range of empirical data.

从关於某些自然种类的基本假设开始，在普遍化梯度的形式上，他得出了一种指数的衰退功能，明显地与广大范围的经验数据相符合。

It would take an infinitively large database to capture the real world precisely data must somehow be reduced to a finite and manageable quantity by a process of generalization or abstraction.

为了获得真实世界的精确数据将需要一个无限大的数据库，但由于某种原因，这些精确数据必须通过概括或提取过程减小为有限且可以管理的小数据。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

They are :(1) The generalization of mathematical methods;(2) The mathematical method of formulization;(3) The proof of construction;(4) The introduction of algebraic symbols.

在宋元数学中，出现一些新的思想、方法和理论，主要有：(1)数学方法的一般化；(2)程序化的数学方法；(3)构造性的证明；(4)代数符号的引入。

The analysis and generalization of the Middle Ages Europe Philosophy helps us understand and master the spirit of western philosophy and its developing clue.With the development of modern science and technology and reason ,the crisis of life significance and the lost of life value are becoming more and more serious.In this case,emphasis and rethinking of the relationship between reason and belief plays an important role in rebuilding peoples spiritual world and improve social forwardness.

对于欧洲中世纪哲学的梳理，有助于我们把握西方哲学的精神和发展脉络，在当代科技和理性高度扩张，意义危机和价值迷失日益严重的境遇下，重视和重新加以审视理性和信仰之间的关系，对于重建人的精神世界和推动社会的进步具有重要意义。

That snake Alaric named Archbishop...

庇护。。。那个毒如蛇蝎的Alaric被命名为大教主。。。

You have done lots of magical things to be amazed at.

你做了很多神奇的事物感到惊讶。