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• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 数学代写|信息论作业代写information theory代考|Transformation Operators and Introduction

It must be analytically clear that socio-natural transformation is the production of information through the conversions of varieties and categorial varieties of systems. This is another way of seeing the concept of systems dynamics in the most complex form. The dynamics is about a continual production and storage of information. The complexity is about the size of the variety space that presents a multiplicity of problems of variety identification over an expansive fuzziness in information processing. The study of information is, thus, the study of systemicity in either automatic control or non-automatic control framework at both static and dynamic conditions. The theory of static systemicity is embedded in the theory of info-statics which has been presented in [R17.17]. The theory of dynamic systemicity is embedded in the theory of info-dynamics which is currently under development.
Central to the study and development of the theory of systems dynamics and complexity are time $t$ with time set $(t \in \mathbb{T})$ and (time-transformation processor) categorial-conversion operator $\pi(t)$ with a set of time-transformation processors or categorial-conversion operators $\pi(t) \in(\Pi, \mathbb{T})$ that act on the elements of the key definitional building blocks of the information. The categorial-conversion operator is a function of the internal technologies that have been discussed above such that $\pi(t) \in(\Pi, \mathbb{T}) \subset \mathbb{C}$. Every time set has special properties that allow any time-processor to belong to the set of time-processors. Few questions may be asked that will provide entry and exist points to the development of the theory of info-dynamics in support of the theory of info-statics. What is the structural relation between the set of conditions of info-statics and those of info-dynamics? Is the structure of the evolving transformation isomorphic to the structure of info-dynamics? Is the cost-benefit structure involved in this info-dynamic process? If cost-benefit is involved, what is its time-processor? If the costs and benefits are involved, then what are the relationships of costs to benefits in transformations? The results of the systems dynamics will be shown to generate an organic information enveloping $\mathbb{Z}{\Omega}(t)$ of stock-flow conditions where $(t \in \mathbb{T})$. At any time-point $(t \in \mathbb{T})$, the organic information $\mathbb{Z}{\Omega}$ is a static structure of the set of the form:
$$\mathbb{Z}{\Omega}=(\mathbb{X} \otimes \mathbb{S})=\left{\mathbb{Z}_v=\left(\mathbb{X}{\mathrm{v}} \otimes \mathbb{S}{\mathrm{v}}\right) \mid v \in \mathbb{V}, \mathbb{X}_v \subset \mathbb{X}, \& \mathbb{S}{\mathrm{V}} \subset \mathbb{S}\right}$$
The organic information enveloping is a set of individual variety-information enveloping $\mathbb{Z}v$ of a particular variety $(v \in \mathbb{V})$ such that $\mathbb{Z}{\Omega}=\bigcup_{v \in \mathbb{V}} \mathbb{Z}v$ and $\mathbb{Z}{\Omega}=$ $\bigcup_{v \in V}\left(\mathbb{X}_v \otimes \mathbb{S}_v\right)$ which describes the total information space of all available varieties at any given time point. The space of varieties is the collection of all the individual varieties of the form $\mathbb{V}=\left{v_i \mid i \in \mathbb{I}^{\infty}\right.$ for any $\left.t \in \mathbb{T}\right}$.

## 数学代写|信息论作业代写information theory代考|The Structural Analytics of Characteristic-Signal Dispositions

To construct a theory of info-dynamics as a theory of the dynamic behavior on a system of transformation of varieties in its general form, it is useful to initialize the definitional conditions of the space of varieties that establishes the universal object set $\Omega$, where every $\omega \in \Omega$ is a variety $v \in \mathbb{V}$. Each variety has a corresponding characteristic-signal disposition $\mathbb{Z}v=\left(\mathbb{X}{\mathrm{v}} \otimes \mathbb{S}_{\mathrm{v}}\right)$ and corresponding phenomenon $\phi_v \in \Phi$. The definitional conditions of information at the static state must be the same and must hold for each element in the space. The inner structure of each variety will vary in accord with the information content $X_v$ and corresponding signals $\mathbb{S}{\mathrm{v}}$. Every categorial variety is a collection of the same varieties which is defined by a characteristic set $\mathbb{X}{\mathbb{C}}$ referred to as a categorial characteristic disposition, where $\mathbb{C}v$ is the home category of $v \in \mathbb{V}$. Corresponding to each categorial characteristic disposition is a categorial signal disposition $\mathbb{S}{\mathbb{C}}$. The two together define information on the category of the same varieties $\mathbb{V}_C$. The internal conditions of these categorial varieties are under plenum of forces from opposing forces that are generated under the principle of opposites composed of infinite set of socio-natural dualities which supports an infinite set of socio-natural polarities to produce energy from within and to generate internal self-motions of varieties and categorial varieties. Here, the universe is considered as a unit composed of internal opposing parts for conflicts with relation destruction and creation. The theory of info-dynamics is a general theory of dynamics of elements in the universal object set in internal unity and relational continuum.

# 信息论代写

## 数学代写|信息论作业代写information theory代考|Transformation Operators and Introduction

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

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