很少有数学结构在概念上像随机性那样简单。
Few mathematical constructs seem as conceptually simple as that of randomness.
首先，电子的密度并不能直接揭示出轨道的数学结构。
First off, the density of electrons doesn't directly reveal the mathematical structure of the orbital.
清单1展示了ContentMathML如何编码数学结构。
Listing 1 shows how Content MathML encodes the mathematical structure.
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。
A mathematical structure is an abstract, immutable entity existing outside of space and time.
阐述直觉模糊S-粗集和直觉模糊S-粗集副集的数学结构与特性。
This paper expatiates the mathematics structures and characteristics of intuitionistic fuzzy S-rough-set and the assistant set of intuitionistic fuzzy S-rough-set.
阐明数学结构和结构同构的概念，以加深对中学数学内容相互关系的理解；
We describe the concepts of mathematics structure and isomorphism of structures, so that one can get a deeper understanding of the relations between substances in middle school mathematics;
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。
The paper analyses the mathematical structure, technical feature, algorithm type and challenges of user preference extraction algorithm.
在决策科学中，线性不等式组是一种基本的数学结构，它的化简很有实用价值。
The system of linear inequalities is a fundamental mathematical structure in decision theory.
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。
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.
形式化地定义了APN的数学结构，利用APN图形化的工具，形象地描述了定性映射。
APN mathematics structure is defined formally and Qualitative Mapping model can be described vividly by making use of the tool of the APN graphics.
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。
First, analysis techniques need to be matched to the biological system, reflecting in their mathematical structure the underlying behavior being studied.
模的理论是现代数学中越来越重要的工具，它统一了许多数学结构，也是研究交换代数的基本工具。
The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.
由于协同优化独特的数学结构，其主要的计算困难在于如何构造有效的系统级协调优化的约束模型。
The mathematical property of co is analyzed, which pointed out that the main difficulty in co is how to construct the system-level constraints.
在分析和借鉴已有编组计划模型的基础上，系统的描述了模型的抽象数学结构，构建了班列开行方案的优化模型。
On the basis of analyzing and utilizing the existent classification planning model, the thesis describes its abstract mathematic structure and builds an optimization model for BCT scheduling.
计算机艺术与通常艺术作品不同之点在于它特有的数学结构，因而数学模型与方法在理论与实践中都起着重要作用。
Computer art is different from general art works, for its digital structure so mathematical models and methods play important roles in both theoretical and practical research.
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。
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.
表达式由数据结构、绑定的变量（即具有值的变量）、数学操作符和函数调用组成。
The expression is composed of data structures, bound variables (that is, those with a value), mathematical operations and function calls.
E8是一个包含248维的怪物，数学家们花了120年的时间才把它的结构摸透。
E8 is a monster. It has 248 dimensions and its structure took 120 years to solve.
早在一世纪前，数学家就提出过这种构造的假设（译注：指希尔伯特曲线），现在这种假设就被应用于对人类基因组立体结构的描述。
This type of shape was mathematically postulated over a century ago, and has now been shown to describe the genome’s three-dimensional 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。
Also, unlike Content MathML, there are no predefined elements for common mathematical operators, since the core OpenMath language just defines the basic structure.
数据绑定不能执行复杂的数学公式、创建眩目的三维图像或者图表结构。
Data binding won't allow you to perform complex mathematical formulae, create amazing 3-d graphics, or diagram cellular structures.
所以，如果你需要用数学式子计算一个值，那就只有用表达式返回这个值，没有其他语法结构可用，因为否则就无法处理这个值。
And so while you needed expressions for math to work, there was no point in making anything else return a value, because there could not be anything waiting for it.
土木工程师建造桥梁和其他结构的数学模型，从而在进入昂贵的实际建设阶段之前计算出所设计的结构能够承受多大的重量和压力。
Civil engineers build mathematical models of Bridges and other structures to calculate how much weight and stress they can bear before committing to an expensive construction phase.
其突出特性是强类型的数学对象层次结构和对对象进行分组和控制的常用编程数据结构。
It features a strongly typed hierarchy of mathematical objects and commonly used programming data structures for grouping and controlling the objects.
不要过于纠结于这些数学问题了，在计算机领域，你会很讨厌那些，在这上面钻牛角尖的人，但是对于那些，像循环这样的逻辑结构又是很有用的。
Okay, not to dwell too much on math because you can very quickly bore someone in computer science by dwelling too much on math but it's useful even for logical constructs as we'll see with loops.
本文运用线性规划理论，建立了一个包括54个变量(产品)，43个约束条件产品结构优化数学模型。
A mathematics model which deals with 54 variables and 43 constraint conditions is proposed to optimize the product structure by using linear programming theory.
带状是一种结构，但还有其他的，Brualdi希望数学家们把像Strang一样的方法用到其它结构类型的矩阵中去。
Bandedness is one type of structure, but there are others, and Brualdi expects other mathematicians to apply techniques like Strang s to other types of structured matrices.
带状是一种结构，但还有其他的，Brualdi希望数学家们把像Strang一样的方法用到其它结构类型的矩阵中去。
Bandedness is one type of structure, but there are others, and Brualdi expects other mathematicians to apply techniques like Strang's to other types of structured matrices.
许多数学对象，例如数集和函数集合，表现出内部结构。
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。
Many mathematical objects, such as sets of Numbers and functions, exhibit internal structure.
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