• Nim Game

    English&中文解释, This article discusses the classic Nim game, where players can take any number of stones from n piles, detailing the specific solutions and underlying principles.



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  • How to use AWS E3 Bucket on Java 1.x Spring Boot

    This article is the detail of how to setup AWS s3 on my Java 1.x with Spring Boot based on my own project needs.



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  • HEXO主题开发——构建主题框架

    主题重构Day1-2，详细地写一些搭建环境和框架遇到的bug，以己如何解决方法。详细记录了一些开发时的心理状态作为日后的乐趣。



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  • 计算机中的数据表示

    最近开课计算机组成原理，由于疫情原因，老师推荐的华中科技大学的秦磊华老师讲的MOOC上的课程。感觉学习难度比较大，因为基础薄弱，所以来总结一下学习的知识，加以巩固。



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  • Numerical Characteristics of Rando variables

    第四章 随机变量的数字特征

    一、数学期望

    1. 离散型
      $$
      E(X)=\sum_{k=1}^{\infty} x_{k} p_{k}
      $$

      当上式发散时，$X$的数学期望不存在。



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Probability and Statistics
cover

Law of Large Numbers

第五章 大数定律和中心极限定理

一、*大数定律

（1）切比雪夫不等式

​ $X$有数学期望$E(X)=\mu,D(X=\sigma^2)$, 则对任意正整数$\varepsilon$

​ $P{\left| x - \mu \right| \geq \varepsilon } \leq \frac{\sigma ^2}{\varepsilon ^ 2}$

     $P\{\left| x - \mu \right| < \varepsilon \} \geq 1-\frac{\sigma ^2}{\varepsilon ^ 2}$

Knowledge points
Probability and Statistics
cover

Numerical Characteristics of Rando variables

第四章 随机变量的数字特征

一、数学期望

  1. 离散型
    $$
    E(X)=\sum_{k=1}^{\infty} x_{k} p_{k}
    $$

    当上式发散时，$X$的数学期望不存在。

    Knowledge points
Probability and Statistics
cover

Random events and their probabilities

This is an overview of the knowledges in chapter 1.

Knowledge points
Data Structure
cover

Calculator (double stack)

The pre-knowledges you should know is priority of operator. Priority is the rule that determines when we meet two operators, which to calculate first. Like 3+2*5, we calculate 2 * 5 first.

The priority of operators are:

Project
Data Structure
cover

Binary Tree Traversal

There are mainly three ways of binary tree traversal. In-order, Preorder and Post-order.

For example we have a simple three-node tree like this.

Knowledge points
Data Structure
cover

Haffman Coding

Assume that we have a bunch of points, each point has a number means the occurrence times of the point.

Knowledge points
Data Structure
cover

List Summary

I’ve been studying Data Structure for a while and now I sum up some knowledges.

Knowledge points
LaTex
cover

LaTex Symbols

Here are some symbols that are not used very usual and how to type it in LaTex.

symbols
Linear Algebra
cover

Linear combination and spam

  1. combination:
    $$
    \overrightarrow{v_1}, \overrightarrow{v_2}, \overrightarrow{v_3} \cdots \overrightarrow{v_n} \in \mathbb{R}^n c_1 \overrightarrow{v_1}+c_2 \overrightarrow{v_2}+\cdots+c_n \overrightarrow{v_n}\left[\left(c_1 \rightarrow c_n\right) \in \mathbb{R}\right]
    $$

  2. span: $\vec{a}, \vec{b} \in \mathbb{R}$

    vectors and spaces
JavaScript
cover

JS project with code

The code of the bouncing all and more projects.

Project
JavaScript
cover

JS projects

I’ve learnt Processing JavaScript a little and have some complete projects. They are very simple but I think they are not ugly.

Project
LaTex
cover

Matrix of LaTex

In order to post my note of linear algebra, I need to know how to put matrix using LaTex. The followings are the usage.

math notation
Linear Algebra
cover

vectors and spaces

  1. intro:

    $\left[\begin{array}{lll}x & x & x\end{array}\right] \rightarrow$ element amount $(n)=n$ dimension

    $\mathbb{R}^n$ (e.g. n = 3 3 Dimension)

    vectors and spaces
Machine Learning
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Model representation

To describe supervised learning,we establish notation for future use.

**$x^i$ **denote the input variables also called input features

**$y^i$ ** denote the output variables also called target variables that we are trying to predict.

A pair **($x^i, y^i$) **is called a training set.

Knowledge points
C++
cover

Check for alphabet characters

                                                                                      

usage
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