计算机代写|计算机图形学作业代写computer graphics代考|Numbers

statistics-lab™ 为您的留学生涯保驾护航 在代写计算机图形学computer graphics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。我们的专家在代写计算机图形学computer graphics代写方面经验极为丰富，各种代写计算机图形学computer graphics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

计算机代写|计算机图形学作业代写computer graphics代考|Background

Over the centuries mathematicians have realised that in order to progress, they must give precise definitions to their discoveries, ideas and concepts, so that they can be built upon and referenced by new mathematical inventions. In the event of any new discovery, these rrrdefinitions have to be occasionally changed or extended. For example, once upon a time integers, rational and irrational numbers, satisfied all the needs of mathematicians, until imaginary quantities were invented. Today, complex numbers have helped shape the current number system hierarchy. Consequently, there must be clear definitions for numbers, and the operators that act upon them. Therefore, we need to identify the types of numbers that exist, what they are used for, and any problems that arise when they are stored in a computer.

计算机代写|计算机图形学作业代写computer graphics代考|Counting

Our brain’s visual cortex possesses some incredible image processing features. For example, children know instinctively when they are given less sweets than another child, and adults know instinctively when they are short-changed by a Parisian taxi driver, or driven around the Arc de Triumph several times, on the way to the airport! Intuitively, we can assess how many donkeys are in a field without counting them,

and generally, we seem to know within a second or two, whether there are just a few, dozens, or hundreds of something. But when accuracy is required, one can’t beat counting. But what is counting?

Well normally, we are taught to count by our parents by memorising first, the counting words ‘one, two, three, four, five, six, seven, eight, nine, ten, ..’ and second, associating them with our fingers, so that when asked to count the number of donkeys in a picture book, each donkey is associated with a counting word. When each donkey has been identified, the number of donkeys equals the last word mentioned. However, this still assumes that we know the meaning of ‘one, two, three, four,..’ etc. Memorising these counting words is only part of the problem-getting them in the correct sequence is the real challenge. The incorrect sequence ‘one, two, five, three, nine, four, ..’ etc., introduces an element of randomness into any calculation, but practice makes perfect, and it’s useful to master the correct sequence before going to university!

计算机代写|计算机图形学作业代写computer graphics代考|Sets of Numbers

A set is a collection of arbitrary objects called its elements or members. For example, each system of number belongs to a set with given a name, such as $\mathbb{N}$ for the natural numbers, $\mathbb{R}$ for real numbers, and $\mathbb{Q}$ for rational numbers. When we want to indicate that something is whole, real or rational, etc., we use the notation:
$$n \in \mathbb{N}$$
$$x \in \mathbb{R}$$
stands for ‘ $x$ is a real number.’
A well-ordered set possesses a unique order, such as the natural numbers $\mathbb{N}$. Therefore, if $P$ is the well-ordered set of prime numbers and $\mathbb{N}$ is the well-ordered set of natural numbers, we can write:
\begin{aligned} &P={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47, \ldots} \ &\mathbb{N}={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \ldots} \end{aligned}
By pairing the prime numbers in $P$ with the numbers in $\mathbb{N}$, we have:
$${{2,1},{3,2},{5,3},{7,4},{11,5},{13,6},{17,7},{19,8},{23,9}, \ldots}$$
and we can reason that 2 is the lst prime, and 3 is the 2 nd prime, etc. However, we still have to declare what we mean by $1,2,3,4,5, \ldots$ etc., and without getting too philosophical, I like the idea of defining them as follows. The word ‘one’, represented

by 1, stands for ‘oneness’ of anything: one finger, one house, one tree, one donkey, etc. The word ‘two’, represented by 2 , is ‘one more than one’. The word ‘three’, represented by 3 , is ‘one more than two’, and so on.

We are now in a position to associate some mathematical notation with our numbers by introducing the $+$ and $=$ signs. We know that $+$ means add, but it also can stand for ‘more’. We also know that = means equal, and it can also stand for ‘is the same as’. Thus the statement:
$$2=1+1$$
is read as ‘two is the same as one more than one.’
We can also write:
$$3=1+2$$
which is read as ‘three is the same as one more than two.’ But as we already have a definition for 2 , we can write
\begin{aligned} 3 &=1+2 \ &=1+1+1 \end{aligned}
Developing this idea, and including some extra combinations, we have:
\begin{aligned} &2=1+1 \ &3=1+2 \ &4=1+3=2+2 \ &5=1+4=2+3 \ &6=1+5=2+4=3+3 \ &7=1+6=2+5=3+4 \end{aligned}
etc.
and can be continued without limit. These numbers, $1,2,3,4,5,6$, etc., are called natural numbers, and are the set $\mathbb{N}$.

计算机代写|计算机图形学作业代写computer graphics代考|Sets of Numbers

n∈ñ
X∈R

2,1,3,2,5,3,7,4,11,5,13,6,17,7,19,8,23,9,…

2=1+1

3=1+2

3=1+2 =1+1+1

2=1+1 3=1+2 4=1+3=2+2 5=1+4=2+3 6=1+5=2+4=3+3 7=1+6=2+5=3+4

，并且可以无限制地继续。这些数字，1,2,3,4,5,6等，称为自然数，是集合ñ.

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。