查询词典 mathematical notation

The discrete mathematical models of the roundness and cylindricity EST are established; the mathematical models of the generating line straightness, axis straightness, coaxality, circular run—out and total run—out error of the revolution workpiece are put forward and established first based on the EST; the method about how to sample and to process sampling data are given when these models are applied to measure workpleces.

其主要内容是：针对长期以来国内对回转误差运动的有关定义的争论，对回转误差运动的本质进行了讨论，进一步明确了静心与静轴，动心与动轴的概念，并对此进行了数学推导，给出了相应的数学模型；统一了"平动说"和"瞬心说"关于回转轴线的定义，指出了两种学说各自的力学基础和它们的一致性。

In this study, a new classification method of tolerances according to semantics and mathematical representation of basic geometric elements based on DOF is given. The representation of tolerance semantics is systematically deduced based on its mathematical definition that can characterize the semantics exactly an...

给出了基于语义的几何公差分类方法及基于自由度变动的基本几何要素数学表示方法；基于公差的数学定义，系统地推导了各种类型公差的三维语义表示方法，准确完整地表示出了其语义；最后给出实例进行应用分析

The results of thermal balance calculation show that if the combustion air can be preheated to 600℃ by the self-preheating process and the gas can be preheated to 150℃ approximately by recovering waste heat of hot stoves flue gas, then the hot blast temperature of 1200℃ could be obtained. 4. The development of mathematical models on the heat transfer of chamber in hot blast stoves is briefly reviewed and the Hausen's mathematical model and its solution methods are mainly discussed.

对自身预热热风炉在一个工作周期内燃烧和传热过程的设计计算程序和应用公式进行了计算方法的研究，首次提出了一套新的热工计算方法，并以采用自身预热的大型高炉热风炉为例，进行了分析、比较和验证。

In this book, it is shown that the freeduan.com methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian.

在这本书里，显然freeduan.com 方法发展通过数学楔形的正文的仔细研究的作者也能被成功适用于各种埃及数学正文，hieratic，通俗，或者希腊语埃及语。

Inequality proof of higher mathematics is a common problem, but also a mathematical problem solving mathematical analysis of the other.

不等式的证明是高等数学中一个常见的问题，而且也是数学分析解决其它数学问题的基础。

The project proposed and established the strict unique mathematical model of instantaneous frequency aiming at the currently existed problems in Hilbert Huang Transform form the viewpoint of physical connotative meaning; proposed and established the strict mathematical model of general intrinsic mode signal based on the concept of general continuous intrinsic mode signal and the compositive principle of practical general intrinsic mode signal; researched and proposed the fitting method of envelope lines in HHT from the viewpoint of theory, conquered the blindness and random in quondam EMD envelope line fitting and boundary treatment; developed a virtual time-frequency analyzer based on general intrinsic mode signal decomposition to open out the local time-frequency characteristics of nonlinear and nonstationary signal more deeply and accurately.

本项目针对希尔伯特-黄变换现阶段存在问题，从物理内涵的角度提出并建立了瞬时频率严格的唯一的数学模型；基于连续性的一般固有模态信号的概念和实际信号的一般固有模态信号的组成原理，提出并建立了一般固有模态信号严格的数学模型；从理论角度研究并提出HHT中的包络线构造方法，克服了原EMD的包络线构造和边界处理的盲目性和随意性；研发一台基于一般固有模态信号分解的虚拟式时频分析仪，使之可以更深入、准确地揭示非线性非平稳信号的时频局部特征。

Sylvester",,"Perhaps I may without immodesty lay claim to the appellation to Mathematical Adam, as I believe that I have given more names (passed into general circulation) of the creatures of the mathematical reason than all the other mathematicians of the age combined.

"，"也许我可以并非不适当地要求获得数学上的亚当这一称号，因为我相信数学理性创造物由我命名的比起同时代其他数学家加在一起还要多。

Sylvester Perhaps I may without immodesty lay claim to the appellation to Mathematical Adam, as I believe that I have given more names (passed into general circulation) of the creatures of the mathematical reason than all the other mathematicians of the age combined.

也许我可以并非不适当地要求获得数学上的亚当这一称号，因为我相信数学理性创造物由我命名的比起同时代其它数学家加在一起还要多。

According to mechanism of ECBM/CO2 sequestration, a mathematical model was developed. In the mathematical model, two-phase flow, multiple gas components and mixed gas sorption, impact of coal matrix shrinkage and swelling on permeability, pressure loss in wellbore were studied.

给出了多分支井模拟CO2注入开采数学模型，模型考虑了气水两相流动、多组分气体吸附、煤基质膨胀和收缩对渗透率的影响以及分支水平井井筒压降；根据数学模型得到了相应的数值模型和计算程序，进行了模拟计算对比。

In the layout analysis, we chose a bottom-up algorithm based on nearest neighbor connect-strength and line confidence to segment the image area, table area and text area; In the printed Chinese character recognition module, we calculate the degree of incorporative difference to match the character, also define a refusal class which could orientate the mathematical expression automatically; Put the expression into the formula processing module, then we chose the character segmentation method based on connectivity and the template match method to recognize the character in the mathematical expression and at last we used the structure analysis based on the character to transform the two dimension formula into one dimension Word EQ expression.

在版面分析中，采用基于最近邻连接强度和行列可信度的自底向上的版面分析算法，分割出图像区域、表格区域和文本区域；在汉字识别模块中，采用回溯切分方法切分出字符段，计算合并差异度与特征字典比较，通过引入汉字的拒识类，从而实现了公式的定位；将定位后的数学公式送入公式识别器，在公式识别器中采用基于连通域搜索的字符分割方法和模板匹配方法对字符识别，对于识别出的字符，再采用基于特征字符的结构分析方法，从而将二维的数学公式转化为一维的Word EO域语句。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。