查询词典 mathematical notation

In order to change the test of closed water for the high pressure vessel for the closed air test, according to the requirement of airtightness for high pressure vessel,the quantitative mathematical model for closed water test was built by analysis of free going out for small orifices in fluid mechanics.

为将高压容器密闭性的闭水检测改为闭气检测，根据高压容器密闭性能的要求，通过对流体力学小孔口自由出流分析，建立了闭水试验定量数学模型。

John Wilkins (1614-1672) reproduces in his book Mathematical Magick p.228 an alchemistic receipe, which is attributed to Paracelsus.

约翰威尔金斯（ 1614年至1672年）抄录在他的书中数学Magick p.228一个炼金术receipe ，这是由于巴拉赛尔苏斯。

A mathematical relation model between liquor near infrared spectrum and liquor alcoholicity was established by use of the combination of discrete cosine transformation and BP neural networks, which was a new approach for rapid liquor alcoholicity determination.

采用近红外光谱的离散余弦变换和BP神经网络相结合，建立了白酒近红外光谱与其酒精度之间的数学关系模型，为快速检测白酒的酒精度提供了一种新的方法。

British mathematician, philosopher and Nobel Prize winner Alfred North Whitehead (co-author, with Bertrand Russell , of Principia Mathematica , widely considered by specialists in the subject to be one of the most important and seminal works in mathematical logic and philosophy) declared

英国数学家，哲学家，诺贝尔奖获得者Alred North Whitehead（与Bertrand Russell共同撰写数学基本原理，是一个被专家普遍认为在相关数理逻辑和哲学主题内最重要最学术的作品）宣称

A generalized mathematical model was developed to describe the distribution of over-potential.Dimensionless variables μ and ω that characterize the polarization and influence of side electrode reaction in the system,were derived from modeling.Adomian's decomposition methodADM）was used to solve the nonlinear differential equation of the model to obtain an approximate analytical solution,which was in the form of algebraic expressions of infinite power series.By the solution,the relationship between over-potential distribution and average selectivity could be easily calculated without solving the nonlinear model time and again.

建立了描述超电势分布的普遍化数学模型，归纳出表征电极极化和副反应影响的量纲1数μ和ω，并用ADM（Adomian's decomposition method）对该非线性微分方程模型求解；所获得的逼近解代数表达式，可方便地计算不同参数下超电势分布对平均选择性的影响，而毋需反复求解模型微分方程。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

This powerful algebraic structure with its finiteness makes itself a concise and beautiful subject of study in the mathematical world.

这种强有力的代数结构再加上有限性这一条件使它成为数学领域中一种简洁、美妙的研究对象。

At last, based on a mathematical tool: algebraic system, this paper gives definition of spatial data cube.

最后，基于数学工具——代数系统，给出了空间数据立方体严格的数学定义。

A programming language based on ALGOL and designed for non-numeric manipulation of mathematical expressions.

一种以ALGOL语言为基础，为数学表达式进行非数值操作而设计的程序设计语言。

A programming language based on ALGOL and designed for nonnumeric manipulation of mathematical expressions.

一种以ALGOL语言为基础，为数学表达式进行非数值操作而设计的程序设计语言。

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

Instructions: click on the thumbnails to see a larger image, then use the left-right arrow keys to scroll through the slideshow.

使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。