数学公式

The Bayes formula is used in judicature to calculate the probability of all the clauses which lead to the occurrence of one event , what is needed in judicature is the mathematical model to calculate the probability from the crime doubts when some cases occur, upon which the cases have been judged fairly and justly.

Bayes公式是当某个事件发生后用来计算引起该事件发生的所有原因的可能性大小的计算公式。在司法排案中需要的就是当某个案件发生后建立计算哪些嫌疑人作案的可能性大小的数学模型，以此排案量刑，做到公正公平。

Based on the higher mathematics method proved inequalities are summarized, and the proposed using the function extreme value and the monotonicity and concave and convex function sex, and mean value theorem, Taylor formula, integral these common higher mathematics method, combining with concrete examples of each kind of method to solve the problems for type, and the key problem of the specific steps, and points out that the inequality proof of higher mathematics method used properly, improve the difficult easy to ability to solve problems.

本文对不等式证明中的高等数学方法作了归纳总结，提出了利用函数的单调性，极值与最值，函数凹凸性，中值定理，泰勒公式，积分这些常用的高等数学方法，并结合具体实例阐述了每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，指出在不等式证明中恰当地运用高等数学方法可以化难为易，提高解题能力。

According to the problems that are encountered in designing the mathematical knowledge representation language in NKI (national knowledge infrastructure) and after the discussion of ontological assumptions for mathematical objects, two kinds of formalisms for the representation of mathematical knowledge are provided. One is a description logic in which the range of an attribute can be a formula in some logical language; and another is a first order logic in which an ontology represented by the description logic is a part of the logical language.

根据在设计NKI(national knowledge infrastructure)的数学知识表示语言中遇到的问题，并在讨论了数学对象的本体论假设的基础上提出了两种数学知识的表示方法：一种是以一个逻辑语言上的公式为属性值域的描述逻辑；另一种是以描述逻辑描述的本体为逻辑语言的一部分的一阶逻辑。

Using differential calculus knowledge to testify inequality, Calculus of higher mathematics is the core and calculus method of higher mathematics is typical of the whole mathematical method, the method is introduced for calculus ideas to solve the problem of finding an inequation, to make way for obtaining inequalities can be simple, the application of differential mid-value theorem and Taylor formula illustrate some of the inequality proof method.

运用微分学知识证明不等式；微积分是高等数学的核心，微积分思想方法是高等数学乃至整个数学的典型方法，微积分思想方法的引入为解决不等式证明的难题找到了突破，用来解不等式可使解题思路变得简单，文章应用微分中值定理及泰勒公式举例说明了部分不等式的证明方法。

This subject combines the basic principle of the calculus of variation and and reply and change basic theories of the function according to fracture mechanics, use mechanics, mathematics knowledge to set up corresponding mathematical model, derive out a series of mechanics and mathematics theory formula, work out procedure carry on number value calculate, to include edge crackle round stress intensity factor of component go on, ask, solve.

本课题结合变分法的基本原理并根据断裂力学和复变函数的基本理论，运用力学、数学知识建立相应的数学模型，推导出一系列的力学及数学理论公式，编制程序进行数值计算，对含边缘裂纹圆形构件的应力强度因子进行求解。

The way on how to compute the optimal math＇s model is given and the survival condition of optimal root is discussed.

研究了一种特殊的订单生产——准时制下非核心企业的生产，分析了计划范围内的成本，并分别就各种成本给出求解公式，尤其在能力波动费用的求解上，引进了符号函数，解决了在任意单位时间段内能力累计的数学表达以及能力波动费用的数学求解，在以上基础上给出了最佳生产的数学模型，给出了求解方法，讨论了最优解的存在条件，最后，讨论了在APS中的应用前景。

Mathematics concept is the basic point of mathematics content, the start point of lending theorem or rule, and the key point of setting up the theory system.

数学概念是数学内容的基本点，是逻辑导出定理、公式、法则的出发点，是建立理论系统的着眼点；同时，它又是学生认知的基础，是学生进行数学思维的起点。

The measurement accuracy of the photoelectric theodolite is decided based on measurement requirement of the ballistic trajectory. Two simple equations were derived mathematically, one expression for positioning error of the ballistic trajectory, angle error of the photoelectric theodolite, ranging error, target slant range and height when one instrument is used, another expression for positioning error of the ballistic trajectory, angel error of the photoelectric theodolite, target slant range and intersection angle when two symmetrical intersection instruments are used.

通过数学解析的方法，推导建立了2个简洁的公式：1）单站定位体制下弹道点位精度和光电经纬仪测角、测距精度以及目标斜距、高角之间的数学表达式；2）对称交会测量体制下弹道点位精度和光电经纬仪测角精度以及目标斜距、交会角之间的数学表达式。

The Double-base Teaching is one of traditional features in the mathematics" education in our country, which focuses on how to cultivate the students" inquiry ability in the daily teaching. First of all, from the beginning of the double-base teaching, we pay attention to the original knowledge during the teaching of concepts, definitions, theorems and formulas. In the case of exercising lessons, we conclude, summarize and train the student"s emanative ideations. In the review lessons, we care about the interconnections of various knowledge. Next, because theopen subjects have the better functions to be researched, we create them in the daily teaching. It is also a very important approach to cultivate the students" inquiry ability.

重视双基教学是我国中学数学教学的传统特色，在日常教学中培养学生的探究能力，应首先从双基教学开始：在概念、定义、定理、公式的教学中注重知识的起源；在例习题教学中，注重归纳、小结及训练学生的发散思维能力；在复习课的教学中注重各知识的相互联系；其次，由于数学开放题具有良好的探究功能，因此，在日常教学中适当创设数学开放题，也是培养学生探究能力的一个重要途径。

Based on the prediction model for uncatalytic double base propellant burning rate the dissertation, carrys on the mathematical treatment to the hypothesis of polyemerization and disintegration, deduces the formula of catalytic double base propellant burning rate and pressure exponent; The results of experimental tests show that it can re-present quantitatively various stage of plateau combustion: super rate, plateau and mesa. The calculated results conform with the experimental results very well.

在非催化双基推进剂燃速预估理论的基础上，对聚合裂解的假设进行数学处理，导出催化双基推进剂的燃速公式和燃速压力指数公式；实验验证结果表明，模型中的公式可以定量地再现双基平台推进剂燃烧中的超速，平台和麦撒现象，而且计算值和实测值符合得较好。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。