Newton developed mathematical concepts and techniques that are fundamental to modern calculus.
牛顿发展了现代微积分的基础数学概念和技术。
Obviously, this is an abstraction of these mathematical concepts.
显然，这些是一些抽象的数学概念。
Some characteristics of the system of mathematical concepts are presented.
提出数学概念体系的特点。
Traditional mathematics describe world with precision, certainty of mathematical concepts.
传统数学用精确性的、确定性的数学概念来描述客观世界。
First of all, let us briefly describe the two mathematical concepts I plan to invoke in this discussion.
首先，让我们简略地描述两个我打算在这个讨论中引用的数学概念。
The sensation of working on a theorem, he says, can be like being “a hunter and gatherer of mathematical concepts.”
他说，专注于一个定理的感觉，就像“一个猎人，一个数学概念的收集者。”
Ability to apply advanced mathematical concepts such as exponents, logarithms, quadratic equations, and permutations.
在工作中能运用高等数学概念，如指数，对数，二次方程序和排列。
Applied mathematics deals with mathematical concepts and techniques used in various fields of science and engineering.
应用数学是一个运用数学工具在多种科学与工程上的学门。
I'm a fairly patient person and I intuitively understand most mathematical concepts, so I was able to really make this take off.
我是一个相当有耐心的人，并且凭直觉就能够理解数学的相关概念，所以我很好的利用了这个优势。
Use logical notation to define and reason about fundamental mathematical concepts such as sets, relations, functions, and integers.
使用逻辑符号来定义与厘清基础数学概念，例如集合、关系式、函数和整数。
Copyright protection shall extend to expressions and not to ideas, procedures, methods of operation or mathematical concepts as such.
版权的保护仅延伸至表达方式，而不延伸至思想、程序、操作方法或数学概念本身。
The mathematical concepts of ESS and 3 of the most representative mathematical models are introduced: (1) Symmetrical Hawks doves game;
对进化上的稳定策略（ESS）的数学概念及三个最有代表性的模型：（1）对称型鹰-鸽博奕；
We also have a deep research on the mathematical concept hierarchy and the knowledge inheritance mechanism between mathematical concepts.
研究了数学概念知识体系结构以及概念之间的知识继承机制，并对知识继承的一致性进行了分析。
Many universities have standardized on Maple for teaching mathematical concepts; the company offers student and professional versions of the software.
许多大学已将Maple作为教授数学概念的标准工具；该公司提供此软件的学生版和专业版。
A mathematical problem is the problem concerned with mathematics, or the problem that can be solved using mathematical concepts, theories or methods.
数学问题是以数学为内容，或者虽不以数学为内容，但必须运用数学概念、理论或方法才能解决的问题。
For a generation being raised on iPads - where calculations can be simply done using an app - getting kids interested in mathematical concepts is more of a challenge.
对于一代在iPads上培养大的孩子，让他们对数学概念感兴趣，是一个很大的挑战。在iPads上，计算是用应用程序轻轻完成。
This section of the course develops the mathematical concepts used in statistics. Three ideas are essential: Random Variable, Density Functions, and Expectations.
此部分课程扩展了统计学中的基本数学概念。三个基本想法如下：随机变数，密度函数与期望。
Article 5. The protection of layout-designs under these Regulations shall not extend to ideas, procedures, methods of operations or mathematical concepts as such.
第五条本条例对布图设计的保护，不延及思想、处理过程、操作方法或者数学概念等。
Perhaps there is anecdotal evidence, using rigorously defined mathematical concepts, to build the premise that a single individual can manifest the significant, to even profound, change they desire.
也许，有一种并不十分严谨的证明，用严格定义的数学概念来支持这样的论点，那就是一个个体，可以实现显著，甚至是深远的变革。
The importance of mathematical concepts in primary mathematics is pointed out; specific strategies for improving students' thinking ability through teaching mathematical concepts are expounded.
指出了数学概念在小学数学中的重要地位，阐述了通过数学概念教学提高学生思维能力的具体策略。
Article 6 the protection of software copyright under these Regulations shall not extend to the ideas, processing, operating methods, mathematical concepts or the like used in software development.
第六条本条例对软件著作权的保护不延及开发软件所用的思想、处理过程、操作方法或者数学概念等。
Every locale USES different symbols to express common concepts, such as currencies, decimal and grouping separators, and mathematical symbols.
不同的语言环境常常使用不同的符号来表达一些常见概念，如货币、小数和分组分隔符、数学符号等。
New mathematical methods and concepts, often more important than itself to follow in solving math problems.
新的数学方法和概念，常常比解决数学问题本身更重要。
It discusses carefully the basic concepts and inference rule of the resolution principle. According to the discussion, resolution method is used to prove a mathematical theorem through a example.
对归结原理的基本概念与推理规则进行了讨论，并在此基础上通过实例探讨了归结推理方法在数学定理证明中的应用。
While these concepts are important, they're purely mathematical.
是的，这些概念很重要，但他们过于强调这里面的算术问题了。
The authors introduced the basic concepts and properties of soft mathematical morphology applicable to gray-scale image and performed edge detection processing for the IR image of a ship by MATLAB.
在介绍适用于灰度图像的柔性形态学概念及特性的基础上，结合红外舰船图像实例，用MATLAB实现了灰度图像的形态学边缘检测。
The authors introduced the basic concepts and properties of soft mathematical morphology applicable to gray-scale image and performed edge detection processing for the IR image of a ship by MATLAB.
在介绍适用于灰度图像的柔性形态学概念及特性的基础上，结合红外舰船图像实例，用MATLAB实现了灰度图像的形态学边缘检测。
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