Yue's Notes

My Math 417 review notes

I have had a wonderful summer as I have been able to take Math 417 with Professor Chales Rezk. He is a very very good teacher and I have learnt a lot from him. Thanks! These are the notes I have taken during the course. It includes the greate Theorems, Lemmas and Propositions that we have learnt in the course. Previous Next / [Downlaod] View the PDF file here.

413_basic counting

The four basic counting principle Suppose that a set $S$ is partitioned into pairwise disjoint parts $S_1, S_2, ..., S_n$. Addition principle: $$ |S| = |S_1| + |S_2| + ... + |S_m| $$Ex: Path counting: In a $3 \times 3$ grid, if you can move 1 step upward or 1 step to the right. How many ways do we have to move from bottom-left to top-right corner? The idea is to break this problem into smaller problems. Addition principle guarrantees that we can add the numbers together. ...

341 Networking Epoll

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341 Scheduling

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341 Files 1 to 5

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341 TCP Server

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341 TCP Client Http

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341 Errors Packets UDP TCP

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341 C Files Pipes Seeks

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341 Pipes and Seeks

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