数学代写| Frege 离散代考
离散数学在计算领域有广泛的应用，例如密码学、编码理论、 形式方法, 语言理论, 可计算性, 人工智能, 理论 数据库和软件的可靠性。 离散数学的重点是理论和应用，而不是为了数学本身而研究数学。 一切算法的基础都是离散数学一切加密的理论基础都是离散数学
编程时候很多奇怪的小技巧（特别是所有和位计算相关的东西）核心也是离散数学
其他相关科目课程代写：组合学Combinatorics集合论Set Theory概率论Probability组合生物学Combinatorial Biology组合化学Combinatorial Chemistry组合数据分析Combinatorial Data Analysis
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离散数学代写
Claude Shannon (Fig. 14.7) was an American mathematician and engineer who made fundamental contributions to computing. He was the first person $^{4}$ to see the applicability of Boolean algebra to simplify the design of circuits and telephone routing switches. He showed that Boole’s symbolic logic developed in the nineteenth century provided the perfect mathematical model for switching theory and for the subsequent design of digital circuits and computers.
His influential Master’s Thesis is a key milestone in computing, and it shows how to layout circuits according to Boolean principles. It provides the theoretical foundation of switching circuits, and his insight of using the properties of electrical switches to do Boolean logic is the basic concept that underlies all electronic digital computers.
Shannon realized that you could combine switches in circuits in such a manner as to carry out symbolic logic operations. This allowed binary arithmetic and more complex mathematical operations to be performed by relay circuits. He designed a circuit, which could add binary numbers, and he later designed circuits that could make comparisons, and thus is capable of performing a conditional statement. This was the birth of digital logic and the digital computing age.
Vannevar Bush [5] was Shannon’s supervisor at MIT, and Shannon’s initial work was to improve Bush’s mechanical computing device known as the Differential Analyser. This machine had a complicated control circuit that was composed of one hundred switches that could be automatically opened and closed by an
$\overline{{ }^{4} \text { Victor Shestakov at Moscow State University also proposed a theory of electric switches based on }}$ Boolean algebra around the same time as Shannon. However, his results were published in Russian in 1941 whereas Shannon’s were published in $1937 .$
electromagnet. Shannon’s insight was his realization that an electronic circuit is similar to Boole’s symbolic algebra, and he showed how Boolean algebra could be employed to optimize the design of systems of electromechanical relays used in the analog computer. He also realized that circuits with relays could solve Boolean algebra problems.
He showed in his Master’s thesis “A Symbolic Analysis of Relay and Switching Circuits” $[6]$ that the binary digits (i.e. 0 and 1) can be represented by electrical switches. The implications of true and false being denoted by the binary digits one and zero were enormous since it allowed binary arithmetic and more complex mathematical operations to be performed by relay circuits. This provided electronics engineers with the mathematical tool they needed to design digital electronic circuits and provided the foundation of digital electronic design.
The design of circuits and telephone routing switches could be simplified with Boolean algebra. Shannon showed how to layout circuitry according to Boolean principles, and his Master’s thesis became the foundation for the practical design of digital circuits. These circuits are fundamental to the operation of modern computers and telecommunication systems, and his insight of using the properties of electrical switches to do Boolean logic is the basic concept that underlies all electronic digital computers.
图论代考
Claude Shannon (Fig. 14.7) was an American mathematician and engineer who made fundamental contributions to computing. He was the first person $^{4}$ to see the applicability of Boolean algebra to simplify the design of circuits and telephone routing switches. He showed that Boole’s symbolic logic developed in the nineteenth century provided the perfect mathematical model for switching theory and for the subsequent design of digital circuits and computers.
His influential Master’s Thesis is a key milestone in computing, and it shows how to layout circuits according to Boolean principles. It provides the theoretical foundation of switching circuits, and his insight of using the properties of electrical switches to do Boolean logic is the basic concept that underlies all electronic digital computers.
Shannon realized that you could combine switches in circuits in such a manner as to carry out symbolic logic operations. This allowed binary arithmetic and more complex mathematical operations to be performed by relay circuits. He designed a circuit, which could add binary numbers, and he later designed circuits that could make comparisons, and thus is capable of performing a conditional statement. This was the birth of digital logic and the digital computing age.
Vannevar Bush [5] was Shannon’s supervisor at MIT, and Shannon’s initial work was to improve Bush’s mechanical computing device known as the Differential Analyser. This machine had a complicated control circuit that was composed of one hundred switches that could be automatically opened and closed by an
$\overline{{ }^{4} \text { Victor Shestakov at Moscow State University also proposed a theory of electric switches based on }}$ Boolean algebra around the same time as Shannon. However, his results were published in Russian in 1941 whereas Shannon’s were published in $1937 .$
electromagnet. Shannon’s insight was his realization that an electronic circuit is similar to Boole’s symbolic algebra, and he showed how Boolean algebra could be employed to optimize the design of systems of electromechanical relays used in the analog computer. He also realized that circuits with relays could solve Boolean algebra problems.
He showed in his Master’s thesis “A Symbolic Analysis of Relay and Switching Circuits” $[6]$ that the binary digits (i.e. 0 and 1) can be represented by electrical switches. The implications of true and false being denoted by the binary digits one and zero were enormous since it allowed binary arithmetic and more complex mathematical operations to be performed by relay circuits. This provided electronics engineers with the mathematical tool they needed to design digital electronic circuits and provided the foundation of digital electronic design.
The design of circuits and telephone routing switches could be simplified with Boolean algebra. Shannon showed how to layout circuitry according to Boolean principles, and his Master’s thesis became the foundation for the practical design of digital circuits. These circuits are fundamental to the operation of modern computers and telecommunication systems, and his insight of using the properties of electrical switches to do Boolean logic is the basic concept that underlies all electronic digital computers.
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抽象代数代考
抽象代数就是一门概念繁杂的学科，我们最重要的一点我想并不是掌握多少例子。即便是数学工作者也不会刻意记住Jacobson环、正则环这类东西，重要的是你要知道这门学科的基本工具和基本手法，对概念理解了没有，而这一点不需要用例子来验证，只需要看看你的理解和后续概念是否相容即可。
矩阵论代考matrix theory
数学，矩阵理论是一门研究矩阵在数学上的应用的科目。矩阵理论本来是线性代数的一个小分支，但其后由于陆续在图论、代数、组合数学和统计上得到应用，渐渐发展成为一门独立的学科。
密码学代考
密码学是研究编制密码和破译密码的技术科学。 研究密码变化的客观规律，应用于编制密码以保守通信秘密的，称为编码学；应用于破译密码以获取通信情报的，称为破译学，总称密码学。 电报最早是由美国的摩尔斯在1844年发明的，故也被叫做摩尔斯电码。
- Cryptosystem
- A system that describes how to encrypt or decrypt messages
- Plaintext
- Message in its original form
- Ciphertext
- Message in its encrypted form
- Cryptographer
- Invents encryption algorithms
- Cryptanalyst
- Breaks encryption algorithms or implementations
编码理论代写
编码理论（英语：Coding theory）是研究编码的性质以及它们在具体应用中的性能的理论。编码用于数据压缩、加密、纠错，最近也用于网络编码中。不同学科（如信息论、电机工程学、数学、语言学以及计算机科学）都研究编码是为了设计出高效、可靠的数据传输方法。这通常需要去除冗余并校正（或检测）数据传输中的错误。
编码共分四类：[1]
数据压缩和前向错误更正可以一起考虑。
