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Knowledge Base

Browse every published knowledge unit by subject and topic.

67 units
Mathematics · Math Foundations
Solving Linear Equations
解一元一次方程
~8 min
Mathematics · Math Foundations
Solving 2- and 3-Variable Linear Systems (Elimination / Cramer's Rule)
解二/三元线性方程组（消元法/克莱默法则）
~15 min
Mathematics · Math Foundations
Complex Numbers (Modulus, Argument, Arithmetic)
复数基础（模、辐角、四则运算）
~12 min
Mathematics · Calculus
Derivatives: Concepts and Basic Rules
导数概念与基本求导规则
~12 min
Mathematics · Calculus
Indefinite and Definite Integrals
不定积分与定积分
~12 min
Mathematics · Calculus
First-Order Ordinary Differential Equations
一阶常微分方程解法
~15 min
Mathematics · Calculus
Properties and Graph of the Exponential Function eˣ
指数函数 e^x 性质与图像
~8 min
Mathematics · Math Foundations
Reading Function Graphs (v-t, i-t)
函数图像识读（v-t、i-t 图）
~8 min
Electrical · Circuit Fundamentals
Breadboard Basics
面包板入门
~10 min
Mathematics · Linear Algebra
Vector Spaces & Subspaces
向量空间与子空间
~25 min
Mathematics · Linear Algebra
Linear Transformations & Change of Basis
线性变换与基变换
~25 min
Mathematics · Linear Algebra
Inner Products, Orthogonalisation & QR
内积、正交化与 QR 分解
~30 min
Mathematics · Linear Algebra
Least Squares Approximation
最小二乘逼近
~25 min
Mathematics · Linear Algebra
Determinants
行列式
~20 min
Mathematics · Linear Algebra
Eigenvalues, Eigenvectors & Diagonalisation
特征值、特征向量与对角化
~30 min
Mathematics · Linear Algebra
Symmetric Matrices & Quadratic Forms
对称矩阵与二次型
~25 min
Mathematics · Linear Algebra
Jordan Forms & Generalised Eigenspaces
Jordan 标准型与广义特征空间
~30 min
Mathematics · Linear Algebra
Matrix Exponentials
矩阵指数
~25 min
Mathematics · Linear Algebra
Systems of Linear ODEs
线性常微分方程组
~30 min
Mathematics · Statistics
Descriptive Statistics
描述统计
~20 min
Mathematics · Statistics
Random Variables
随机变量
~25 min
Mathematics · Statistics
Special Probability Distributions
常见概率分布（二项/泊松/指数/正态）
~30 min
Mathematics · Statistics
Sampling Distributions & the CLT
抽样分布与中心极限定理
~25 min
Mathematics · Statistics
Confidence Intervals
置信区间
~25 min
Mathematics · Statistics
Hypothesis Testing
假设检验
~30 min
Mathematics · Statistics
Inference for Two Means
两样本均值的推断
~25 min
Mathematics · Statistics
Simple Linear Regression
简单线性回归
~30 min
Mathematics · Statistics
Analysis of Variance (ANOVA)
方差分析（ANOVA）
~30 min
Mathematics · Linear Algebra
Vectors in Rⁿ & the Dot Product
Rⁿ 向量与点积（模长、夹角）
~18 min
Mathematics · Linear Algebra
Matrix Algebra: Multiplication, Transpose, Inverse
矩阵运算（乘法、转置、逆、消元）
~20 min
Mathematics · Statistics
Counting & Combinatorics
计数与组合（排列、组合）
~15 min
Mathematics · Statistics
Probability Basics: Sample Spaces, Events, Conditional Probability
概率基础（样本空间、事件、条件概率、独立性）
~22 min
Mathematics · Statistics
MATH2099 · 描述统计
描述统计
~10 min
Mathematics · Statistics
MATH2099 · 随机变量的期望
随机变量的期望
~10 min
Mathematics · Statistics
MATH2099 · 五个特殊分布
五个特殊分布
~10 min
Mathematics · Statistics
MATH2099 · 抽样分布与 CLT
抽样分布与 CLT
~10 min
Mathematics · Statistics
MATH2099 · 置信区间与比例
置信区间与比例
~10 min
Computing · Algorithms
Shell Sort
希尔排序
~9 min
Computing · Algorithms
Counting Sort
计数排序
~8 min
Computing · Algorithms
Bipartite Graph (2-Coloring Test)
二分图判定
~9 min
Computing · Algorithms
Big-O & Time Complexity Analysis
大 O 与时间复杂度分析
~16 min
Computing · Data Structures
Graph Representation (adjacency matrix/list)
图的表示（邻接矩阵/表）
~16 min
Computing · Algorithms
Euler & Hamilton Paths/Circuits
欧拉与哈密顿路径/回路
~16 min
Computing · Algorithms
Shortest Path
最短路径 Dijkstra
~16 min
Computing · C Programming
Abstract Data Types
抽象数据类型
~10 min
Computing · Algorithms
Topological Sort
拓扑排序
~14 min
Computing · Data Structures
Priority Queue
优先队列
~12 min
Computing · Algorithms
Stable Sort
稳定排序
~9 min
Computing · Algorithms
Binary Search
二分查找
~11 min
Computing · Data Structures
Stacks
栈
~16 min
Computing · Data Structures
Queues
队列
~16 min
Computing · Data Structures
Tree Traversal (pre/in/post/level order)
树的遍历（前/中/后/层序）
~16 min
Computing · Data Structures
2-3-4 Trees
2-3-4 树
~16 min
Computing · Data Structures
Tries
字典树 (Trie)
~16 min
Computing · Algorithms
Recursion
递归
~16 min
Computing · Algorithms
Sorting Algorithms
排序算法
~16 min
Computing · Data Structures
Arrays
数组
~16 min
Computing · Data Structures
Linked Lists
链表
~16 min
Computing · Data Structures
Binary Trees
二叉树
~16 min
Computing · Data Structures
Binary Search Tree (BST)
二叉搜索树 (BST)
~16 min
Computing · Data Structures
AVL Trees (self-balancing, rotations)
AVL 树（自平衡 / 旋转）
~16 min
Computing · Data Structures
Hash Tables
哈希表
~16 min
Computing · Data Structures
Heaps / Priority Queues
堆 / 优先队列
~16 min
Computing · Algorithms
Depth-First Search (DFS)
深度优先搜索 (DFS)
~16 min
Computing · Algorithms
Breadth-First Search (BFS)
广度优先搜索 (BFS)
~16 min
Computing · Algorithms
Minimum Spanning Tree (Prim/Kruskal)
最小生成树（Prim/Kruskal）
~16 min
Computing · C Programming
Pointers
指针
~12 min