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1·Listing 1 shows how Content MathML encodes the mathematical structure.

清单1展示了Content MathML如何编码数学结构。

2·The system of linear inequalities is a fundamental mathematical structure in decision theory.

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。

3·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。

4·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。

5·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。

6·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。

7·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。

8·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。

9·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。

10·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。