This book presents the details that illustrate the mathematical style of thinking, which involves sustained, step-by-step analysis, experiments, and insights.
本书详细介绍了数学的思维方式，包括持续的、按部就班的分析、实验和真知灼见。
While QED rests on a weak mathematical foundation, it has been extremely successful in predicting the outcome of experiments.
量子电动力学(QED)已经在一个脆弱的数学基础上待了太久，它已经在预测实验结果上取得了巨大的成功。
The researchers conducted a series of laboratory experiments with groups of various sizes and developed a mathematical model of the intuitive learning process.
该研究选取不同大小的样本进行了一系列实验室实验，形成了直觉学习过程的计算模型。
Experiments concerning the verification of the mathematical model, calibration of the sensing and measuring system, and field applications are carried out on the basis of the prototype.
在研制出样机的基础上，对数学模型的验证，起重传感器测量系统的标定，以及现场测试等方面进行了全面系统的实验研究。
Based on these parameters, optimized process parameters set with mathematical statistical full factor experiments can guarantee the quality of welded plastics parts in batch production.
以这些参数为基础，借助数理统计的全因子实验设置优化的工艺参数，可以保证批量焊接产品的质量。
With the methods of literature data, mental experiments measurement and mathematical statistics, the author gave a research on the special psychological quality of some elite women footballers.
采用文献资料法、心理实验测量法和数理统计法，对我国部分优秀女子足球运动员进行了专项心理素质的研究。
According to the experiments of bicycles under riding in the field and analysis of mathematical statistics, the dynamic strength of bicycles was Studied.
本文通过自行车的野外骑行实验和数理统计分析，论述了自行车骑行时的动强度问题。
The epitaxy experiments are arranged to take advantage of the mathematical method of orthogonal process design.
采用“正交设计”的数学方法安排外延试验，找到多层连续均匀生长的条件。
This problem shows definitely that the physics analysis is indispensable, in the scientific research work, although mathematical treatment and experiments are important.
这个问题说明在科学研究中数学处理和实验虽重要，但物理分析是绝对必要的。
Two kinds of logarithmic ratio amplifiers used for biochemical analyzers were designed and the mathematical formulas of the amplifiers were derived through experiments.
设计了两种用于生化分析仪器的对数放大电路，通过实验得出了对数放大电路的数学表达式。
The mechanism of heat transfer during sheet metals heating with impinging jet in a rapid heating furnace is studied with experiments and mathematical simulating methods.
本文采用热态试验和数学模拟的方法，研究了金属板坯在快速冲击加热炉内被射流冲击加热时的内外部传热机构。
In this paper, a mathematical model of heat transfer in tube annealing furnace, in which some parameters are confirmed through the embedded thermocouple experiments is presented.
在炉内传热机理研究的基础上，结合实际生产过程中的热电偶实验，建立了钢管光亮退火炉热处理过程数学模型。
The mathematical model was verified by the flume experiments and the physical model of the Baguazhou reach of the Yangtze River.
此数学模型经水槽试验资料和长江八卦洲河段物理模型实测试验资料验证。
Methods the literature study, questionnaire survey method, teaching experiments and mathematical statistical method, software development method and other methods.
采用文献法、问卷调查法、教学实验法、数理统计法、软件编制法等研究方法。
Based on some neural science experiments, a mathematical theory and method for thinking construction and intelligence modeling called attribute theory and method is presented in this paper.
根据神经科学实验的相关结果，本文给出了一个基于属性的思维建构与智能模拟的数学理论与方法，简称属性论的初略框架。
Based on the mechanics analysis, the mathematical model of the cutting torque was established, and the validity of the model was demonstrated by the experiments.
通过动力学分析，得到了对于单叶双曲面平板直刃滚筒式切碎器切割秸秆层切割阻力矩的数学模型，经过试验验证验证了其有效性。
The mathematical models about the relationship between the zinc evaporation rate and temperature are also obtained by experiments.
实验还得到了锌蒸发速率与温度关系的数学模型。
A number of experiments have been completed and the results show that the mathematical model and the algorithm are feasible and powerful under workshop conditions.
工况条件下所做的大量实验结果说明数学模型和算法可行、有效。
Two physicists used string-tumbling experiments and mathematical models to create a step-by-step recipe for knot formation and determined which factors cause the knottiest knots.
有两名物理学家进行了“绳子弄乱”的实验和并建立起数学模型，获得了绳子是如何打结的逐一各个步骤，并且确定了是哪些因素会引起最为”复杂“的绳子结。
Related mathematical models are developed. Experiments are performed to test and correct these models.
导出了相应的数学模型，并通过实验进行了验证和修正。
On the basis of a lot of field experiments, this paper proposes a synthetic and practical mathematical-physical model of High Energy Gas Fracture h.
本文在大量现场试验的基础上，提出了一个综合实用的高能气体压裂H。
Method: Using questionnaire investigation, experiments and mathematical statistics, this paper discussed the effects of internal and external imagery training on table tennis players.
方法：采用问卷调查法、实验法、数理统计法研究探讨内部表象与外部表象对初学者乒乓球技能学习的影响。
Through experiments and by mathematical statistics method, repeatability of this method adopted by Single Photo Path instrument has been verified and confirmed.
通过试验和数理统计方法，验证和确定了采用单光路检测仪器分析方法的重复性。
At the same time, via in vitro experiments and mathematical theories analysis make certain of the people have been unable illustrates efficacy of chinese medicine-material definition.
同时通过离体实验及数学理论分析对一直以来人们无法阐清的中药药效物质定义进行了严格的界定。
Mathematics modeling, mathematical inquiry, mathematics experiments, mathematics investigation, mathematics execution and designing, mathematical topic reading are high-frequent methods.
数学建模、数学探究、数学实验、数学调查、数学制作与设计、数学主题阅读是课题学习的常见形式。
Secondly, the inversion matrix equation of the particle size distribution is obtained from the discrete characteristics of the particle distribution in both mathematical theories and experiments.
其次，根据微粒数分布离散性的特征，建立了微粒粒度分布函数的反演矩阵及其实验方法。
They adopted an approach called the design of experiments – a mathematical technique of problem solving through doing lots of little experiments and then looking at the statistics all glued together.
他们采用实验设计的方法做了很多的小实验，综合所得的数据再得出精确设计。
Finally, the relevant theory was verified correct by several simulation experiments of cat map in image scrambling, which provided mathematical foundation for image scrambling.
通过图像置乱的仿真实验，验证了相关理论的正确性，从而为图像置乱提供了数学理论依据。
Finally, the relevant theory was verified correct by several simulation experiments of cat map in image scrambling, which provided mathematical foundation for image scrambling.
通过图像置乱的仿真实验，验证了相关理论的正确性，从而为图像置乱提供了数学理论依据。
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