This article aims at the counter-example to carry on the thorough elaboration in mathematics function.
本文就针对反例在数学中的作用进行深入论述。
In mathematics, a function maps each input to a specific output.
在数学中，函数把每个输入映射到一个特定的输出。
This view istaken over directly from mathematics, where sentences such as ‘2 + 3’ may beanalysed in terms of a function ‘( ) + ( )’ being completed by the arguments‘2’ and ‘3’.
这种观点是直接从数学中借来的。在数学中，像“2 +3”这样的语句可以分析为：由“2”和“3”将“（）+（）”补充完整的函数表达式。
Mathematics is pointed out that the maximum of the function is often in the most unstable points to get, people pursuit of extreme balance will lose heart.
数学指出函数的极大值往往在最不稳定的点取到，人追求极端就会失去内心的平衡。
Secondly, Aiming at classical mathematics model of Multi-machine System, state equation and transient energy function are putted forward in the center of angle.
针对多机系统的经典数学模型，给出多机系统在角度中心下的状态空间方程及其暂态能量函数。
This paper defined the matrix of fuzzy characteristics of sonar images based on the theory of fuzzing mathematics, and enhanced the image by using the sine fuzzy function.
本文基于模糊数学理论，建立了水声图像的模糊特征矩阵，并采用正弦模糊分布函数对真实的水声图像进行了增强处理。
The underground hydrodynamic force function research technique may summarize is mathematics analogue method, the value analogue method and the experimental analogy method.
地下水动力作用的研究方法可概括为数学模拟法、数值模拟法和实验模拟法。
From elementary mathematics to advanced mathematics, we have been studying the issue of the maximum and minimum of the function.
从初等数学到高等数学，我们经常研究函数的最值问题。
Discussed are the fuzzy comprehensive evaluation method and its application principle according to membership function and maximum subordination principle in fuzzy mathematics.
根据模糊数学的隶属函数和最大隶属原则，讨论了模糊综合评判方法和应用准则，建立了测井判别油水层的模糊数学模型。
Seldom has a single concept played so important a role in mathematics as has the concept of function.
很少有一个概念象函数的概念那样在数学中起如此重要的作用。
The fuzzy decision method of fuzzy mathematics is employed in the application of spline function in objective analysis.
本文在运用样条函数进行客观分析时引用了模糊数学中的模糊决策方法。
On the basis of computational mathematics on function structure theory, this article discusses the algorithm of software process computing structure graphical representation.
在计算数学关于函数结构理论的基础上，本文讨论了软件进程计算结构图形表示算法。
Mathematics modeling method, rice cultivation technique function, and rice Variety hereditary improvement were discussed.
进一步讨论了数学建模方法、水稻栽培技术作用、水稻品种遗传改良等问题。
One important function of mathematics in science is the role it plays in the expression of scientific models.
其中一个重要作用是数学在科学中所发挥的作用表达的科学模式。
Trigonometrical function in the teaching of mathematics in secondary schools, have a decisive position.
三角函数的教学在中学数学教学中有着举足轻重的地位。
The objective function of process tolerance optimization is established with the fuzzy mathematics based on maximum process capability.
以最大工序能力作为工序公差优化的目标，利用模糊数学的概念建立目标函数。
The segmented function has always been emphasis and difficulty in higher mathematics teaching.
分段函数一直是高等数学教学中的重点和难点内容。
Furthermore, by using fuzzy mathematics and network analysis, a fault attaching function was put forward and applied to fault detection in the tolerance circuit.
在此基础上，应用网络分析与模糊数学，提出了一种故障隶属函数，据此进行容差电路的故障定位。
The minimization of some energy measure translates some problems into an optimization problem depending on the unknown variables (which are function) in mathematics.
数学上通过能量度量最小化把这些问题转化成变量或函数的最优化问题。
Apply administering function in fuzzy mathematics to build math model, This article presents a method to evaluate the level of university graduated scientifically.
运用模糊数学中的隶属函数构造数学模型，提出了科学地评价高校毕业生学习水平的一种方法。
On the other hand, some teachers often excessively emphasize the function of mathematics in teaching and neglect the building of physical situation.
另一方面，一般的老师总是在教学中过于强调数学的作用，忽略了物理情境的建立。
By discussing defining the coefficient of focus degree of subordinate function, this article applies fuzzy mathematics to Bayesian statistics to form a new method on hypothesis testing.
文章通过对隶属函数的集中度系数确定的探讨，将模糊数学应用于贝叶斯统计学，从而形成了一种新的假设检验方法。
Mathematics establish its position and function in training students' ability with its logic, preciseness, accuracy and application.
摘要数学以它特有的逻辑性、严谨性、精确性、应用性，确定了其在培养学生能力方面的地位和作用。
In the history of the western culture, mathematics once had both appliance function in terms of technique and interpretation function in terms of ideology.
在西方文化史上，数学曾经既具有技术层面的应用性功能，也具有思想意识层面的解释性功能。
Mathematics establishes its position arid function in training students' ability with its logic, preciseness, accuracy and application.
摘要数学以它特有的逻辑性、严谨性、精确性、应用性，确定了其在培养学生能力方面的地位和作用。
APOS theory relatively prevails abroad at present and it has already been widely used in many aspects, such as function concept, abstract algebra, dispersed mathematics, calculus.
目前APOS理论在国外比较盛行，已经在函数概念、抽象代数、离散数学、微积分等多方面领域得到广泛应用。
The Limit cognition has an extensive application in modern mathematics, as well as physics etc, which is determined by its inherent function of reasoning.
极限思想在现代数学乃至物理等学科中有广泛的应用，这是由它本身固有的思维功能所决定的。
The Limit cognition has an extensive application in modern mathematics, as well as physics etc, which is determined by its inherent function of reasoning.
极限思想在现代数学乃至物理等学科中有广泛的应用，这是由它本身固有的思维功能所决定的。
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