查询词典 mathematical notation

Like musical notation , modern mathematical notation has a strict syntax and encodes information that would be difficult to write in any other way.

像乐谱，现代数学符号有严格的语法和编码信息，将是困难的收件以任何其他方式。

Because the mathematical linguistics are one kind by the mathematical symbol, mathematics terminology and the scientific language which is composed after the improvement natural language, therefore in mathematics teaching, the teacher not suitable direct use mathematical linguistics achievement teaches the language generally, but must act according to student's knowledge foundation and the psychological feature, transforms the mathematical linguistics as easily the language which is accepted by the student.

由于数学语言是一种由数学符号、数学术语和经过改进的自然语言组成的科学语言，因此在数学教学中，教师一般不宜直接使用数学语言作为讲授语言，而必须根据学生的知识基础和心理特征，将数学语言转化为容易被学生所接受的语言。

Psychology}, the paper defines intuition as a cognitive ability to make immediate judgement without analyzing or reasoning and further analyzes the relation and difference between intuition, inspiration, insight, imagination and perceptual intuition, pointing out that mathematical intuitive thinking is a swift judgement on and imagination to the objects of mathematics and their relationship in structure which is featured by illogicality, directness, probability, randomness and unity and aids students in predicting conclusion or direction to solution as well as making definite choice between several options, Furthermore, the paper probes into the foundation of mathematical intuitive thinking in terms of psychological mechanism, and thereupon holds it necessary to develop students mathematical intuition in that it does good to the excitement of creativity, improvement of overall qualities, all- brain development and optimization of mathematical thinking among students.

而数学直觉思维就是人脑对数学对象及其结构关系的一种迅速的判断与敏锐的想象，并探讨了数学直觉思维的生理机理基础，总结其特征有非逻辑性、直接性、或然性、随机性、整体性和综合性。在解题时直觉能帮助学生对结论或解题方向做出预见，也可以在推理面临多种可能性时，帮助学生做出果断的选择。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

During the study, in order to decrease the complexity, the article simplifies the geomorphic process, defines the ideal state, and, according to the geomorphic principle, reasons out some of the 4-Dimensional Geomorphic Mathematical Sub-Models that include the 4-Dimensional Tectonic Geomorphic Mathematical Model, the 4-Dimensional Depositional Geomorphic Mathematical Model, and the 4-Dimensional Denudate Geomorphic Mathematical Model.

在研究过程中，为了减低复杂程度，简化了地貌过程，规定了理想条件，并根据地貌学原理推导了部分理想条件下的四维地貌数学模型，分别是四维构造地貌数学模型、四维沉积地貌数学模型和四维剥蚀地貌数学模型。

The major findings were as follows:(1) There were significant interactions between Feedback and Goal-setting in both students' mathematical performance and test anxiety;(2) No significant differences were found in mathematical performance and test anxiety between the student self-set goal condition and the teacher-assigned goal condition when feedback was presented;(3) There were significant differences in students' mathematical performace between correct-predicting students' and incorrect-predicting students, but no difference was found in students' test anxiety between the two groups of students;(4) High-estimating students and low estimating students showed significant differences in mathematical performance, but no difference in test anxiety.

在有回馈的情形下，学生自订目标与敎师指定目标间，其学生在数学作业表现或是在数学测试焦虑分数上均无显著差异存在。3。学生自订目标中，预测正确组与预测不正确组学生在数学作业表现上有差异存在，在数学测试焦虑分数上无差异存在。4。学生自订目标中，高估组与低估组学生在数学作业表现上有差异存在，在数学测试焦虑分数上无差异存在。

Going at the teaching of mathematical thought and method during high school is an important means by which the school in the 21th century cultivate the person with innovative spirit and practical bility.Moreover going in for the teaching study of the mathematical thought and method in high school can make ours absorb well the international and national mathematical thought and methodology knowledge,and improve the cognition to the importance of the teaching about mathematical thought and method,so that they are able to practise consciously and selfconsciously the teaching .

中学阶段进行数学思想方法的教学是21世纪学校培养具有创新精神与实践能力的人才的重要手段，而进行中学数学思想方法的教学研究更能使我们中学数学教师充分吸收国内外数学思想方法论知识，提高对数学思想方法教学重要性的认识，从而能够有意识、自觉地实践数学思想方法教学。

We can use either common decimal notation or scientific notation to write floating-point literal constants.

通常可以用十进制或者科学计数法来表示浮点字面值常量。

Whether the number is printed using decimal or scientific notation depends on the value of the floating-point number being printed. The library chooses a format that enhances readability of the number. Very large and very small values are printed using scientific notation. Other values use fixed decimal.

使用小数形式还是科学记数法显示数值取决于被显示的浮点数的值，标准库选择增强数值可读性的格式，非常大和非常小的值使用科学记数法显示，其他值使用小数形式。

Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.

应该注意到定积分的符号和不定积分的十分相似，其中的原因到最后会显而易见。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。