Introduction to real analysis.pdf

Solution to real anakysis.pdf

利用mathematica软件，编写色散方程拟合的代码。有作图，很漂亮。

Wolfram Mathematica 12.x 全版本、全平台（WIN\MAX\LINUX)注册机 目前亲测WIN好使，过几天测试MAC系统的！ 安装好mathematica后，WIN系统 安装方法：双击解压文件夹内批处理文件-输入math id即可 *请勿直接双击.exe文件 否则会闪退 MAC/LINUX系统需要在Windows下面执行批处理文件，输入math id即可 好用的话请留言好评 造福全社会~

【P147页 5.4.2 Strassen矩阵乘法】的 Mathematica 计算验证.nb 是 Mathematica12.1的编程代码验证，Mathematica符号计算语言简洁明了！ 欢迎进行下载验证！

适用于中级学者使用。有较多的典型例题，格式是PDF易于阅读。是学习学数学的一个好帮手。

用mathematica分析人脸

COVID-19：与Wolfram语言有关的COVID-19相关的代码，数据和计算资源

一份非常全的Mathematica教程，新手入门必看

第七版 Indroduction_to_Mathematica_Statistics.Hogg,McKean,Craig seventh edition.pdf UIUC的 STAT401统计课程教材 Contents Preface ix 1 Probability and Distributions 1 1.1 Introduction................................ 1 1.2 SetTheory ................................ 3 1.3 TheProbabilitySetFunction ...................... 10 1.4 ConditionalProbabilityandIndependence . . . . . . . . . . . . . . . 21 1.5 RandomVariables ............................ 32 1.6 DiscreteRandomVariables ....................... 40 1.6.1 Transformations ......................... 42 1.7 ContinuousRandomVariables...................... 44 1.7.1 Transformations ......................... 46 1.8 ExpectationofaRandomVariable ................... 52 1.9 SomeSpecialExpectations ....................... 57 1.10ImportantInequalities .......................... 68 2 Multivariate Distributions 73 2.1 DistributionsofTwoRandomVariables ................ 73 2.1.1 Expectation............................ 79 2.2 Transformations: Bivariate Random Variables . . . . . . . . . . . . . 84 2.3 Conditional Distributions and Expectations . . . . . . . . . . . . . . 94 2.4 TheCorrelationCoefficient ....................... 102 2.5 IndependentRandomVariables.....................110 2.6 ExtensiontoSeveralRandomVariables . . . . . . . . . . . . . . . . 117 2.6.1 ∗Multivariate Variance-Covariance Matrix . . . . . . . . . . . 123 2.7 Transformations for Several Random Variables . . . . . . . . . . . . 126 2.8 LinearCombinationsofRandomVariables. . . . . . . . . . . . . . . 134 3 Some Special Distributions 139 3.1 TheBinomialandRelatedDistributions . . . . . . . . . . . . . . . . 139 3.2 ThePoissonDistribution ........................ 150 3.3 TheΓ,χ2,andβDistributions ..................... 156 3.4 TheNormalDistribution......................... 168 3.4.1 ContaminatedNormals ..................... 174 v vi Contents 3.5 TheMultivariateNormalDistribution ................. 178 3.5.1 ∗Applications........................... 185 3.6 t-andF-Distributions