Examples of using Mathematical analysis in English and their translations into Chinese
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Cauchy publishes Cours d'analyse(A Course in Analysis), which sets mathematical analysis on a formal footing for the first time.
柯西（Cauchy）出版了《分析教程》（Coursd'analyse），这是第一次将数学分析建立在正式基础上。The Bayesian method is the natural approach to inference, yet it is hidden from readers behind chapters of slow, mathematical analysis.
贝叶斯方法是一种常用的推断方法，然而对读者来说它通常隐藏在乏味的数学分析章节背后。The choice of the best algorithm for a particular task can be a complicated process, perhaps involving sophisticated mathematical analysis.
为一项任务选择最合适的算法是困难的，这可能会需要复杂的数学分析。In addition to this application-based motivation we include also detailed pseudo code descriptions and complete mathematical analysis.
除了这些应用的动机外，我们还给出算法的详细伪代码描述和完整的数学分析。He had pioneered the idea that through close mathematical analysis of patterns in the market an investor could identify profitable anomalies.
The activity in Mathematical Modelling is oriented to subjects for which the main technical tools come from mathematical analysis.
在数学建模活动是面向对其中的主要技术工具都来自数学分析的主题。Software Engineers are programming architects, who apply computer science, engineering and mathematical analysis to the design and development of large, complex, and critical software systems.
软件工程师是编程架构师，他们将计算机科学，工程和数学分析应用于大型，复杂和关键的软件系统的设计和开发。Boole publishes The Mathematical Analysis of Logic, in which he shows that the rules of logic can be treated mathematically rather than metaphysically.
布尔（Boole）出版了《逻辑的数学分析》（TheMathematicalAnalysisofLogic），其中他证明了逻辑法则可以用数学方法处理而非形而上学。Despite growing interest in the mathematical analysis of algorithms, basic information on methods and models has rarely been directly accessible to practitioners, researchers, or students.
尽管算法数学分析方面的文献很多，但是关于普遍使用的方法和模型方面的基本信息尚不能很容易地为该领域的学生和研究人员直接使用。In mathematical analysis, the final value theorem(FVT) is one of several similar theorems used to relate frequency domain expressions to the time domain behavior as time approaches infinity.
在数学分析中，终值定理（FinalValueTheorem,FVT）是将时间趋于无穷时的时域表达式与频域行为建立联系的许多定理之一。Their mathematical analysis showed something very strange: a photon could sometimes trigger the top-slit detector, but end up at the bottom half of the screen.
数学分析却揭示了一件很奇怪的事：有时一个光子触发了顶部狭缝的探测器，最终却停在了屏幕的下半部分。Based on the rates of correct guesses- and rigorous mathematical analysis- Shannon determined that the information content of typical written English was around 1.0 to 1.2 bits per letter.
根据猜对的频率--以及严谨的数学分析--香农发现普通的写下来的英语句子的信息量是每个单词1到1.2比特。This then becomes a necessary condition on a smooth function F to have the homogeneity property; it is also sufficient(by using Schwartz distributions one can reduce the mathematical analysis considerations here).
这是光滑函数F有齐次性质的一个必要条件；这也是充足的（通过利用施瓦兹分布我们简化这里考虑的数学分析）。Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic(1847), and set forth more fully in his An Investigation of the Laws of Thought(1854).
逻辑代数是乔治·布尔（GeorgeBoole）在他的第一本书《逻辑的数学分析》（1847年）中引入的，并在他的《思想规律的研究》（1854年）中更充分的提出了逻辑代数。The ability to undertake both diagrammatic and mathematical analyses of macroeconomic issues.
能够对宏观经济问题进行图解和数学分析。Mathematical analyses of trends are used to gauge many activities, ranging from internet-user tendencies to airport traffic control.
数学分析被用在各种活动中，从网络用户倾向调查到航空管制。Our students participate in scientific research activities that may include mathematical analyses, computational modeling, experimental research and/or field studies.-.
我们的学生参加科学研究活动，可能包括数学分析，计算建模，实验研究和/或实地研究。Mathematical analyses reveal that, while it is generally difficult for teaching to evolve, cumulative culture promotes teaching.
数学分析表明虽然教学发展一般比较困难，但累积的文化却能够促进教学行为。Computer simulations and mathematical analyses revealed that while randomness doesn't eliminate the possibility of rapid, catastrophic transitions, it can certainly reduce it.
通过计算机模拟和数学的分析显示：虽然随机不能排除灾难性的突然转变发生的可能性，但一定可以减少它。I also like mathematical analysis.
我也喜欢数学分析。
