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assignmentutor-lab™ 为您的留学生涯保驾护航 在代写离散数学discrete mathematics方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写离散数学discrete mathematics代写方面经验极为丰富，各种代写离散数学discrete mathematics相关的作业也就用不着说。

• 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|Relations

A binary relation $R(A, B)$ where $A$ and $B$ are sets is a subset of $A \times B$ : i.e. $R \subseteq A \times B$. The domain of the relation is $A$ and the codomain of the relation is $B$. The notation $a R b$ signifies that $(a, b) \in R$.

A binary relation $R(A, A)$ is a relation between $\mathrm{A}$ and $\mathrm{A}$. This type of relation may always be composed of itself, and its inverse is also a binary relation on A. The identity relation on $A$ is defined by $a i_{\mathrm{A}} a$ for all $a \in A$.

(i) The relation on a set of students in a class where $(a, b) \in R$ if the height of $a$ is greater than the height of $b$.
(ii) The relation between $A$ and $B$ where $\mathrm{A}={0,1,2}$ and $B={3,4,5}$ with $R$ given by
$$R={(0,3),(0,4),(1,4)} .$$
(iii) The relation less than (<) between and $\mathbb{R}$ and $\mathbb{R}$ is given by
$$\left{(x, y) \in \mathbb{R}^2: x<y\right} .$$
(iv) A bank may represent the relationship between the set of accounts and the set of customers by a relation. The implementation of a bank account may often be a positive integer with at most eight decimal digits.

The relationship between accounts and customers may be done with a relation $R \subseteq A \times B$, with the set $A$ chosen to be the set of natural numbers, and the set $B$ chosen to be the set of all human beings alive or dead. The set $A$ could also be chosen to be $A=\left{n \in \mathbb{N}: n<10^8\right}$.

A relation $R(A, B)$ may be represented pictorially. This is referred to as the graph of the relation, and it is illustrated in the diagram below. An arrow from $x$ to $y$ is drawn if $(x, y)$ is in the relation. Thus, for the height relation $R$ given by ${(a, p),(a$, $r),(b, q)}$ an arrow is drawn from $a$ to $p$, from $a$ to $r$ and from $b$ to $q$ to indicate that $(a, p),(a, r)$ and $(b, q)$ are in the relation $\mathrm{R}$.

## 数学代写|离散数学作业代写discrete mathematics代考|Computer Representation of Sets

Sets are fundamental building blocks in mathematics, and so the question arises as to how a set is stored and manipulated in a computer. The representation of a set $M$ on a computer requires a change from the normal view that the order of the elements of the set is irrelevant, and we will need to assume a definite order in the underlying universal set $\ell$ from which the set $M$ is defined.

That is, a set is always defined in a computer program with respect to an underlying universal set, and the elements in the universal set are listed in a definite order. Any set $M$ arising in the program that is defined with respect to this universal set. $\mathscr{C}$ is a subset of $\mathscr{l l}$. Next, we show how the set $M$ is stored internally on the computēr.

The set $M$ is represented in a computer as a string of binary digits $b_1 b_2 \ldots b_n$ where $n$ is the cardinality of the universal set $l 6$. The bits $b_i$ (where $i$ ranges over the values $1,2, \ldots n$ ) are determined according to the rule:
$b_i=1$ if $i$ th element of is in $M$;
$b_i=0$ if $i$ the element of is not in $M$.
For example, if $. \ell={1,2, \ldots 10}$ then the representation of $M={1,2,5,8}$ is given by the bit string 1100100100 where this is given by looking at each element of $.16$ in turn and writing down 1 if it is in $M$ and 0 otherwise.

Similarly, the hit string $0,100,101,100$ represents the set $M={2,5,7,8}$, and this is determined by writing down the corresponding element in $/ /$ that corresponds to a 1 in the bit string.

Clearly, there is a one-to-one correspondence between the subsets of.$/ l$ and all possible $n$-bit strings. Further, the set theoretical operations of set union, intersection and complement can be carried out directly with the bit strings (provided that the sets involved are defined with respect to the same universal set). This involves a bitwise ‘or’ operation for set union, a bitwise ‘and’ operation for set intersection and a bitwise ‘not’ operation for the set complement operation.

# 离散数学代写

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

(i) 一个班级中一组学生的关系 $(a, b) \in R$ 如果高度 $a$ 大于高度 $b$.
(ii) 两者的关系 $A$ 和 $B$ 在哪里 $\mathrm{A}=0,1,2$ 和 $B=3,4,5$ 和 $R$ 由
$$R=(0,3),(0,4),(1,4) .$$
(iii) 和之间的关系小于 $(<) \mathbb{R}$ 和 $\mathbb{R}$ 是 (谁) 给的
《1eft 的分隔符缺失或无法识别
(iv) 银行可以通过关系来表示账户集合和客户集合之间的关系。银行账户的实现通常可能是一个最多八位十进制数字的正整数。

## 数学代写|离散数学作业代写discrete mathematics代考|Computer Representation of Sets

$b_i=1$ 如果 $i$ 的第一个元素在 $M$ ；
$b_i=0$ 如果 $i$ 的元素不在 $M$.

## 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