Difference between revisions of "User:Johnxyz1"
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==Representing Actions as Permutations== | ==Representing Actions as Permutations== | ||
− | ''The idea is that if you must do a fixed number of operations of multiple types, you can make those operations letters, and permutate them.'' For example, if you have a grid of | + | ''The idea is that if you must do a fixed number of operations of multiple types, you can make those operations letters, and permutate them.'' For example, if you have a grid of \(4\times 6\) and you want to walk from one corner to the opposite one, WLOG you need to go up \(4\) times and right \(6\) times. You can do that in any order, so basically you are arranging |
UUUURRRRRR | UUUURRRRRR | ||
which simplifies the problem. | which simplifies the problem. | ||
Example: 2024 AMC 8 Problems/Problem 13. In this problem you can treat going up as | Example: 2024 AMC 8 Problems/Problem 13. In this problem you can treat going up as |
Revision as of 15:51, 6 September 2024
Favorite topic: for which I am reading AOPS intermediate book on
Favorite color:
Favorite software:
Favorite Typesetting Software:
Favorite Operating System: Linux (although I am rarely on one)
Below are some stuff I am doing to practice . That does not mean I know all of it (actually the only ones I do not know yet is the cubic one and the one)
Source code for equations:
https://1drv.ms/t/c/c49430eefdbfaa19/EQw12iwklslElg9_nCMh0f0BVthxSSl-BOJAwsXtGbbhPg?e=1LfZJm
Asymptote test (with autoGraph):
If you want to typeset your own LaTeX equation in a STANDALONE PDF like AOPS does (although they do images), use the standalone documentclass.
Miscellaneous
On an AMC 8, you can use a ruler to measure things out. Sometimes that works!
Representing Actions as Permutations
The idea is that if you must do a fixed number of operations of multiple types, you can make those operations letters, and permutate them. For example, if you have a grid of
UUUURRRRRR
which simplifies the problem.
Example: 2024 AMC 8 Problems/Problem 13. In this problem you can treat going up as