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# 数学代写|离散数学代写Discrete Mathematics代考|MATH200 Variables

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## 数学代写|离散数学代写Discrete Mathematics代考|Variables

A variable is sometimes thought of as a mathematical “John Doe” because you can use it as a placeholder when you want to talk about something but either (1) you imagine that it has one or more values but you don’t know what they are, or (2) you want whatever you say about it to be equally true for all elements in a given set, and so you don’t want to be restricted to considering only a particular, concrete value for it. To illustrate the first use, consider asking
Is there a number with the following property: doubling it and adding 3 gives the same result as squaring it?
In this sentence you can introduce a variable to replace the potentially ambiguous word “it”:
Is there a number $x$ with the property that $2 x+3=x^2$ ?
The advantage of using a variable is that it allows you to give a temporary name to what you are seeking so that you can perform concrete computations with it to help discover its possible values. To emphasize the role of the variable as a placeholder, you might write the following:
Is there a number $\square$ with the property that $2 \cdot \square+3=\square^2$ ?
The emptiness of the box can help you imagine filling it in with a variety of different values, some of which might make the two sides equal and others of which might not.

## 数学代写|离散数学代写Discrete Mathematics代考|Writing Sentences Using Variables

Use variables to rewrite the following sentences more formally.
a. Are there numbers with the property that the sum of their squares equals the square of their sum?
b. Given any real number, its square is nonnegative.
Solution
a. Are there numbers $a$ and $b$ with the property that $a^2+b^2=(a+b)^2$ ?
Or: Are there numbers $a$ and $b$ such that $a^2+b^2=(a+b)^2$ ?
Or: Do there exist any numbers $a$ and $b$ such that $a^2+b^2=(a+b)^2$ ?
b. Given any real number $r, r^2$ is nonnegative.
Or: For any real number $r, r^2 \geq 0$.
$O r:$ For every real number $r, r^2 \geq 0$.

## 数学代写|离散数学代写Discrete Mathematics代考|使用变量写句子

. . . . .

b。对于任何实数，其平方是非负的。

a。是否有数字$a$和$b$具有$a^2+b^2=(a+b)^2$的性质

$O r:$对于每一个实数$r, r^2 \geq 0$ .

. .

## 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。