### 数学代写|线性代数代写linear algebra代考|MATH1014

statistics-lab™ 为您的留学生涯保驾护航 在代写线性代数linear algebra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。我们的专家在代写线性代数linear algebra代写方面经验极为丰富，各种代写线性代数linear algebra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|线性代数代写linear algebra代考|Applications We Use to Build Linear Algebra Tools

This book will consider a variety of pedagogical examples and applications. However, you will primarily find two real-world application tasks woven throughout the book, inspiring and motivating much of the material. Therefore, we begin our path into linear algebra with an introduction to these two questions.

Consider the common scenario of computerized axial tomography (CAT) scans of a human head. The CAT scan machine does not have a magic window into the body. Instead, it relies on sophisticated mathematical algorithms in order to interpret $\mathrm{X}$-ray data. The $\mathrm{X}$-ray machine produces a series (perhaps hundreds) of radiographs such as those shown in Figure 1.1, where each image is taken at a different orientation. Such a set of $2 \mathrm{D}$ images, while visually interesting and suggestive of many head features, does not directly provide a $3 \mathrm{D}$ view of the head. A $3 \mathrm{D}$ view of the head could be represented as a set of head slices (see Figure 1.2), which when stacked in layers provide a full 3D description. as a process described well within a linear algebra context. In fact, we used linear algebra concepts discussed later in this text to produce the images of brain slices seen in Figure $1.2$ from surprisingly few radiographs like those in Figure 1.1. As you can see, the details in the slices are quite remarkable! The mathematical derivation and brief explanations of the physical process are given in Appendix A.

## 数学代写|线性代数代写linear algebra代考|Diffusion Welding

Consider the following scenario involving diffusion welding. Like other types of welding, the goal is to adjoin two or more pieces together. Diffusion welding is used when it is important not to have a visible joint in the final product while not sacrificing strength. A large apparatus like the one found in Figure $1.3$ is used for this process. As you can see, a company is unlikely to have many of these on hand. In our application, we will consider welding together several small rods to make one longer rod. The pieces will enter the machine in place. Pressure is applied at the long rod ends as indicated at the bottom of Figure 1.4. The red arrows show where heat is applied at each of the joints. The temperature at each joint is raised to a significant fraction of the melting temperature of the rod material. At these temperatures, material can easily diffuse through the joints. At the end of the diffusion process, the rod temperature is as indicated in the plot and color bar in Figure 1.4. The temperature is measured relative to the temperature at the rod ends, which is fixed at a cool temperature. After the rod cools there are no indications (macroscopically or microscopically) of joint locations.

Consider the scenario of image warping, where you have two images, and you want to create a video or a sequence of images that flows smoothly from one image to the other. In our application, we will consider techniques similar to those used in the diffusion welding application. This application extends the techniques to 2 dimensions. Linear algebra techniques discussed in later chapters will allow us to transition between two or more images as depicted in Figure 1.5.

The successful mastery of higher-level mathematical topics is something quite different from memorizing arithmetic rules and procedures. And, it is quite different from proficiency in calculating numerical answers. Linear algebra may be your first mathematics course that asks you for a deeper understanding of the nature of skills you are learning, knowing “why” as well as “how” you accomplish tasks. This transition can be challenging, yet the analytic abilities that you will acquire will be invaluable in future mathematics courses and elsewhere. We (the authors) offer the following guidelines for success that we feel are worth your serious consideration.

In this text, you will learn many new definitions and terminology. In order to fully understand the topics in this text, effectively communicate your understanding, and to have effective conversations with other professionals, you will need to become fluent in the language of linear algebra. In order to help you recognize appropriate uses of this language, we added “Watch Your Language!” indicators such as the one below to exemplify this language.

In this text, we will pose questions for which there isn’t always one correct answer. Sometimes answers do not exist, proofs can’t be had, and statements are just not true or are open to interpretation. We do this, not to cause frustration, but rather to give you an opportunity to exercise your creative mathematical talent, learn to explore possible strategies to recognize truths (and untruths), and to strengthen your understanding. However, we do abide by the following list:
Rules of the Game

• If we ask you to prove something, you can assume the statement is true. On the other hand, we may ask you whether or not a statement is true. In this case, we will expect you to justify your assertion.
• If we ask you to find something, you may or may not be able to find it. We want you to experience the satisfaction of determining the existence as if you were researching a new problem.
• If we ask you to compute something, you can be sure that the task is possible.

## 数学代写|线性代数代写linear algebra代考|Diffusion Welding

• 如果我们要求您证明某事，您可以假设该陈述是正确的。另一方面，我们可能会询问您某项陈述是否属实。在这种情况下，我们希望您证明您的主张是正确的。
• 如果我们要求您查找某些内容，您可能会或可能无法找到它。我们希望您体验确定存在的满足感，就好像您正在研究一个新问题一样。
• 如果我们要求您计算某些东西，您可以确定该任务是可能的。

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## 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。