从数学意义上来说，这是dx部分加上dy部分的线积分。
On the math it is a line integral of something dx plus something dy.
这些数学意义上的的例子，可以通过等式直接给出。
Now, so these are mathematical examples given by explicit formulas.
目前，在数学意义上只有极少数的游戏被应用计算机解决。
Using computers, quite a few games have now been solved in this formal mathematical sense.
这一版本听起来（与前一版本）不同，但从数学意义上来说，是一致的。
While this version sounds different, it is mathematically the same as the one stated with pigeons and pigeonholes.
该方法不仅具有作图法的度和实验意义，而且还有线性回归法的数学意义。
This method has not only the precision of the charting method and the experimental meaning, but also the mathematical meaning of the linear regression method.
这就是牛顿和莱布尼兹的成就，他们对于上述的问题给出精确的数学意义，进而解决了问题。
It was the achievement of Newton and Leibnitz to make the last statement precise in a mathematical sense, thereby solving both problems.
由于音、形、义的特征，汉字数字除了数学意义之外，还具有哲学、文学和其他更广泛的意义。
With the features of pronunciation, form and meaning, Chinese characters have not only mathematical meanings but also philosophical, literary and other meanings.
从严格的数学意义上描述了利率期限结构，讨论了不同结构之间的关系，并给出了不同利率期限结构理论的使用准则．。
The terms structure of interest rate are mathematically described. The relationship between different kinds of structures and some criterion in applications discussed in this paper.
研究中，首先根据地理意义和数学意义，对经典的城市人口-面积异速生长模型进行扩展，推导出城乡人口-面积统一模型。
On the basis of geographical sense and mathematical sense, this paper used the model of allometric growth of urban population-area, and a model of rural and urban population-area was generated.
不过她说，她为顾客的生日和姓名赋予意义的工作，与数学是相通的。
However, she says her work reading meaning into clients' birth dates and names is consistent with math.
高德的不完备定理更像是一组非常有趣的关于逻辑和哲学的数学定理，而不是严格意义上的科学。但是整体上，这些逻辑和哲学与科学密切相关。
It is not strictly science, but rather a very interesting set of mathematical theorems about logic and the philosophy that is definitely relevant to science as a whole.
同时我们也经常在应用数学里用到，跟物理的意义一样，只是记号不同。
And, this is what one USES a lot in applied math, which is the same thing as physics but with different notations.
Cocconi和Morrison猜测外星人会选择对于拥有数学和化学知识的生物有意义的频率。
Cocconi and Morrison guessed that the aliens would choose a frequency that would mean something to creatures who know math and chemistry.
超对称性理论既有操作上的实际意义，也有数学方式的理论观感。法国巴黎南方大学的物理学家亚当.法尔考斯基（AdamFalkowski）一针见血地指出,它向其拥趸注入了“宗教信仰精神力量”。
SUSY's utility and mathematical grace have instilled a "religious devotion" among its followers, says Adam Falkowski, a theorist at the University of Paris-South in France.
顺便提一下，某种意义上来讲，这就是拓扑学的起点，拓扑学是研究区域形状的一个数学分支。
And by the way, I mean, this is also somehow the starting point of topology, which is the branch of math that studies the shapes of regions.
其一，要开发意义重大的基于PHP的数学包，您不必是一名火箭科学家。
For one, you don't have to be a rocket scientist to develop a significant PHP-based math package.
这是一种被数学家称为从局部最大值探索整体最大值的方法，而一路上会有很多无意义最小值。
The way to get from what the mathematicians call a local maximum to the global maximum is to explore a lot of fruitless minima along the way.
某种意义上我们不是朋友，但是很友好。她教我数学，我教她社会学。
We weren't exactly friends, but friendly; she helped me in math, I helped her in social studies.
如果开发php数学库的动机是出自节省开发人员的精力以及使用最好的工具来完成工作，那么PHP现在的课题是很有意义的。
If the motivations for developing a PHP math library are bounded by concerns for conserving developer effort and using the best tool for the job, then PHP's present course makes sense.
所以研究学习迁移的规律对实现我们的数学教学目标具有非常现实的意义。
Therefore the research study migration rule to achieve our mathematics teaching goal to have the extremely realistic significance.
高等数学是一门重要课程，在高等数学教学中培养学生创造性思维具有重要的意义。
Higher mathematics is an important course, so it is of great significance to develop the students' creative thought in math teaching.
那就是为什么我应该用数学的形式化公式，提供一个真实界的模式，这是我们用来产生意符意义的最先进的建构方法。
That is why I thought I should provide a model of it using mathematical formalization, inasmuch as it is the most advanced elaboration we have by which to produce signifierness.
弄清这些问题对于新课标下的数学教学改革具有重要的现实意义和参考价值。
Clarify it has important realistic meaning and reference value that these questions mark the reform in education of mathematics under to the new lesson.
这个团队的分析很“简单”但是确实“有意义”，乌拉地米尔·阿加夫(Vladimir Ajaev)，一位来自德克萨斯州达拉斯的南卫理公会大学的应用数学家说道。
The team's analysis is "simple" but does "make sense," says Vladimir Ajaev, an applied mathematician at Southern Methodist University in Dallas, Texas.
数学概念的认知问题一直是数学教育心理学关注的课题，取得了大量有意义的研究成果。
The cognition of mathematical concept has always been concern of mathematics education psychologists, and great achievements have been made in different fields.
文章就数学算法教学的现状、算法教学的意义展开分析，建立对算法教学的理解。
By analyzing the present conditions of algorithm teaching and its significance, the author tries to establish her understanding of algorithm teaching.
国际数学联盟在颁奖辞中称Lindenstrauss在遍历理论方面取得了意义深远的进展，遍历理论是用于研究动力系统统计行为的数学分支。
Lindenstrauss, the ICM citation says, "has made far-reaching advances in ergodic theory," which studies the statistical behavior of dynamical systems.
而今天，数学则是高技术的基础，并且在一定意义上可以说是现代文明的标志。
Today mathematics is the keystone of high technology, and, in a sense, the symbol of modern civilization.
而今天，数学则是高技术的基础，并且在一定意义上可以说是现代文明的标志。
Today mathematics is the keystone of high technology, and, in a sense, the symbol of modern civilization.
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