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# 斯坦福大学数学夏令营保录取Sumac代写2023

PSAT高分也有助于你的申请。与所有标准化考试一样，实践出真知。确保在你的PSAT考试日期之前进行几次模拟测试。

## 斯坦福大学数学夏令营保录取Sumac代写2023|For use by SUMaC 2023 applicants only. Not for distribution

Solve as many of the following problems as you can. Your work on these problems together with your grades in school, teacher recommendations, and answers to the questions on the application form, will be used to evaluate your SUMaC application. Although $\mathrm{SUMaC}$ is very selective with a competitive applicant pool, correct answers on every problem are not required for admission.

There is no time limit for this exam other than the application deadline.

Please include clear, detailed explanations for all solutions; numerical answers or formulas with no explanation are not useful for evaluating your application.

In the event you are unable to solve a problem completely, you are encouraged to write up any partial progress that you feel captures your ideas leading toward a solution.

You will need to create a separate document with your solutions and explanations. This document may be typed or handwritten, as long as the final document you upload is legible for our review.

None of these problems require a calculator or computer, and you are encouraged not to use computational tools or computer programs for your solutions.

You are expected to do your own work without the use of any outside sources (books, teacher or parent help, internet search, etc.). If you recognize one of the problems from another source, or if you receive any assistance, please indicate this in your write up.

## 斯坦福大学数学夏令营保录取SUMAC代写2023

Tell us something interesting about the number 2023 or explain why you think it is a completely uninteresting number. This is a purely subjective open-ended question with no wrong answers.
Consider the following puzzle. Five coins are arranged around the vertices of a pentagon. The goal for this puzzle is to go from the starting configuration below
to a goal configuration that is a rearrangement of the coins around the pentagon. There are two allowable moves that can be applied repeatedly in any order:

• Move X: you can rotate the coins around the pentagon, and
• Move Y: you can rotate the coins in the upper triangle of the pentagon.

## 斯坦福大学数学夏令营保录取SUMAC代写2023

X移动：你可以围绕五边形旋转硬币，并且
Y移动：可以旋转五边形上三角的硬币。

## 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。