Notes in maths

1. This note was made in 2022 summer for YMSC online combinatorics course, some proofs are very interesting !
2. Borel-Cantelli lemma.
3. Note on Dynkin's $\pi$-$\lambda$ theorem and Carathéodory's extension theorem.
4. Note on MATH641 Probability. It is the most fatastic course I have ever taken at Duke, truely enjoyed a lot.
5. Simulation on branching process. The theoretic extinction probability is exactly the same as the simulated value!
6. Etemadi's proof of Strong law of large number.
7. Note on Functional analysis (updating).

Notes in Computer Sciences and Bioinformatics

1. Using NCBI Blastp to blast sequences on Python and webpage.
2. RNA-seq analysis.
3. Code to convert fasta file into a dictionary.
4. Dynamic programming.
5. Note on decoding HMM.
6. Note on multiple linear regression and I wrote a simple demo.
7. Note on the EM algorithm and the gaussian mixture model. (Implementation).

Lecture notes in high school biology (CHINESE)

Due to visa issues during COVID-19 pandemic, I postponed my graduate school for a year and found a job teaching advanced high school biology. I've made many slides, some may be useful.

1. Biochem: 等电点计算, 酶促反应动力学, MWC model, Bi bi reaction.
2. Genetics: Haldane's mapping function, 遗传漂变, 伴X染色体上基因的遗传平衡推导.
3. Zoology: 原生动物, 海绵动物与腔肠动物, 扁形动物 , 假体腔动物, 环节动物与软体动物, 节肢动物
4. Simulation on population competitive model.