Math

一些有趣的数学、物理、计算机问题 ...

EN553.762 Review. Based on Numerical Optimization Book ...

问题： 想象光滑的地面有两个静止的小滑块，左面有一堵质量无穷大的墙。左边的小滑块质量为 $1$。此时给右边的小滑块一个向左的速度，假设所有的碰撞...

Notes on doing derivatives w.r.t. matrix/vector ...

AA/EE/ME 578 Review ...

From ME 510 & AMATH 584 ...

Finding the best route between two cities, given a complicated road network; or transmitting a message between two computers along a network of hundreds of computers, are all classified as the shortest path problem. ...

Given $n$ workers and $n$ jobs, and the cost $c_{ij}$ to train the $i$-th worker for the $j$-th job, find an assignment of one worker to each job which minimized the total training cost. ...

Find the smallest integer $n$ that there must be either three mutual friends or three mutual strangers among $n$ people, suppose each pair of people are either friends or strangers? ...

In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects. ...