Listing 1 shows how Content MathML encodes the mathematical structure.
清单1展示了ContentMathML如何编码数学结构。
A mathematical structure is an abstract, immutable entity existing outside of space and time.
数学结构是一种抽象、不可变的实体，超脱于时间与空间之外。
First off, the density of electrons doesn't directly reveal the mathematical structure of the orbital.
首先，电子的密度并不能直接揭示出轨道的数学结构。
In this paper, based on the model's mathematical structure, we propose an elementary solution method.
本文提出了一种基于模型结构的初等数学解法。
The paper analyses the mathematical structure, technical feature, algorithm type and challenges of user preference extraction algorithm.
分析了用户偏好提取算法的数学结构、技术特点、算法类型及研究面临的挑战。
First, analysis techniques need to be matched to the biological system, reflecting in their mathematical structure the underlying behavior being studied.
首先，分析技术需要和生物学系统相匹配，反映在它们的数学结构，是将被研究的根本行为。
But what she was doing was actually making a model of a mathematical structure, that many mathematicians had thought it was actually impossible to model.
但她事实上做出了一个许多数学家认为，这实际上是不可能形塑出来的数学结构模型。
In addition, the author clearly shows from the point of view of aesthetic appraisal that, mathematical beauty displays in three part, i. e. mathematical structure, …
从审美评价的角度提出数学美包括数学的结构美、方法美和应用美三个方面，每个方面都包含了异常丰富的内容。
As one progresses downward, the recognizable fractal shape is evident, singly and as large groups of the same fractal shape repeated throughout the structure of the mathematical equation modeled.
在这个深入的过程中，那种可以识别的形状在这以数学公式为模型的结构中单独地以及成群结队地在四处重复出现。
Cylinder buckling is governed by imperfections in a structure and uncertainties in the loading of weight, and mathematical models can predict this behavior.
一个圆柱体外壳的曲度变形情况受到其本身的结构限制和不确定的外力影响，一般可以通过数据模型方程序测算出它的结果。
Also, unlike Content MathML, there are no predefined elements for common mathematical operators, since the core OpenMath language just defines the basic structure.
此外，与ContentMathML不一样，对于常见数学运算符没有预定义的元素，因为核心openmath语言只定义基本结构。
Many mathematical objects, such as sets of Numbers and functions, exhibit internal structure.
许多数学对象，例如数集和函数集合，表现出内部结构。
Certainly, with the integration of rough structure and algebra structure, topology structure, order structure and the other structures, some new vital mathematical branches will be emerged.
当然，随着粗糙结构与代数结构、拓扑结构、序结构等各种结构的不断整合，必将不断涌现出新的富有生机的数学分支。
Certainly, with integration of rough structure and algebra structure, topology structure, order structure and the other structure, some new vital mathematical branches will be emerged.
当然，随着粗糙结构与代数结构、拓扑结构、序结构等各种结构的不断整合，必将不断涌现新的富有生机的数学分支。
Primary contents and results in this thesis: 1. Topology psychology structure of advanced mathematical concept (TPS).
本文研究的主要内容和结果：1.高层次数学概念的拓扑心理结构模式(TPS模式)。
People started to do some mathematical analysis on the structure and the character of magic square from seventeen century.
从十七世纪开始，人们对幻方的构造与性质展开比较严肃的数学思考。
Also this paper presents the structure of mathematical vessel-model and the existence and uniqueness of the solution and introduces a set of numerical methods to solve the smoothed-spline Surface.
探索和研究了数学船型构造及解的存在、唯一性，且建立了一套求光顺样条曲面的数值方法。
The mathematical models of probability of random event and fuzzy random event should be taken to analyze the reliability of a structure for these two kinds of limit state.
对这两种极限状态，应分别采用随机事件和模糊随机事件概率的数学模型进行其可靠度分析。
The analysis of sidesways of staggered steel truss structure is discussed. The mathematical model of an equivalent continum is proposed and solved by the lateral shear rigidity method.
对交错钢桁架结构的侧移分析，采用连续化的数学模型和侧向抗剪刚度法。
This paper, taking Classroom Intelligent Switch for example , discussed the mathematical model of system structure and the design of hardware and software.
本文以教室智能灯具开关为例，从系统数学模型的建立、基本系统结构到系统硬件设计给以详述。
Mathematical integral structure thought came into being under the environment of Confucian culture in China, is an idea and a processing mode about modern maths.
数学的整体结构思想是在中国本土的儒家文化环境中形成的对现代数学的看法与处理方式。
Mathematical model of adaptive variable structure of control system for DC servo robot was established with nonlinear sliding mode formed with saturation type scalar functions.
采用饱和型标量函数构成非线性滑模建立直流伺服机器人控制系统的自适应变结构数学模型。
Mathematical models for the structure design and thermal computation of the metallized film capacitors are established.
建立了有机薄膜电容器结构设计和热计算的数学模型。
The research actualities on catalytic distillation still, Packing Structure of catalyst, mathematical models for catalytic distillation process are introduced.
介绍了催化精馏塔、催化剂的装填方式、催化精馏塔数学模型的研究现状。
With the linear expenditure system and extended linear expenditure system, we build, in this paper, mathematical models of the urban household expenditure structure in China.
本文采用线性支出系统和广义线性支出系统，建立了我国城市居民家庭支出结构的数学模型。
With the linear expenditure system and extended linear expenditure system, we build, in this paper, mathematical models of the urban household expenditure structure in China.
本文采用线性支出系统和广义线性支出系统，建立了我国城市居民家庭支出结构的数学模型。
应用推荐