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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|离散数学作业代写discrete mathematics代考|Turing Machines

Turing introduced the theoretical Turing Machine in 1936, and this abstract mathematical machine consists of a head and a potentially infinite tape that is divided into frames. Each frame may be either blank or printed with a symbol from a finite alphabet of symbols. The input tape may initially be blank or have a finite number of frames containing symbols. At any step, the head can read the contents of a frame; the head may erase a symbol on the tape, leave it unchanged or replace it with another symbol. It may then move one position to the right, one position to the left or not at all. If the frame is blank, the head can either leave the frame blank or print one of the symbols (Fig. 7.7).

Turing believed that a human with finite equipment and with an unlimited supply of paper to write on could do every calculation. The unlimited supply of paper is formalized in the Turing machine by a paper tape marked off in squares, and the tape is potentially infinite in both directions. The tape may be used for intermediate calculations as well as for input and output. The finite number of configurations of the Turing machine was intended to represent the finite states of mind of a human calculator.

The transition function determines for each state and the tape symbol what the next state to move to and what should be written on the tape, and where to move the tape head.

## 数学代写|离散数学作业代写discrete mathematics代考|Hybrid Automata

Hybrid systems are digital real-time systems embedded in analog environments such as a digital embedded control program for an analog plant environment. The controller state moves discretely between the control modes, and within each control mode the plant state evolves continuously according to physical laws. That is, hybrid systems arise whenever continuous and discrete dynamics interact, and where logic decision-making and embedded control actions are combined with physical processes.

This has led to the need for mathematical models to combine the dynamics of the continuous part of the system with the dynamics of the logic and discrete parts of the system. These models may include some form of differential and difference equations for the continuous part on the one hand, and to automata or other discrete event models on the other hand. These models assist the challenge of multi-disciplinary design, and promote a common understanding of the design among the multiple groups of people involved. The physics and mechanics of the system are generally controlled by the logic decision making part (i.e. the logical device or embedded controller) of the system. Communication becomes more challenging in larger systems with complicated networks of communication, and this is another dimension of the design that needs to be considered.

Hybrid automata are a formal model that combine discrete control graphs (finite-state automata) with continuously evolving variables. A hybrid automaton exhibits two kinds of state changes: discrete jump transitions and continuous flow transitions that occur over time. Hybrid systems are often safety critical systems where reliability is a central concern, such as the correctness of a digital controller that monitors the temperature of a nuclear reactor. We illustrate the idea of hybrid automata in the following example.

# 离散数学代写

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. 数学代写|离散数学作业代写

## 有限元方法代写

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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。

assignmentutor™您的专属作业导师
assignmentutor™您的专属作业导师