Difference between revisions of "User:Johnxyz1"
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+ | <math>\huge\mathcal{JOHN}</math> | ||
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+ | ==Major Contributions== | ||
+ | *''[[Tree (graph theory)]]'' | ||
+ | *''[[Reverse Polish notation]]'' | ||
+ | *''[[LaTeX:Packages]]'' | ||
+ | *''[[Basic Programming With Python]]'' | ||
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+ | ==Favorites== | ||
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Favorite topic: <cmath>\text{Counting \& Probability}</cmath>for which I am reading AOPS intermediate book on | Favorite topic: <cmath>\text{Counting \& Probability}</cmath>for which I am reading AOPS intermediate book on | ||
Favorite color: <cmath>\text{\textcolor{green}{Green}}</cmath> | Favorite color: <cmath>\text{\textcolor{green}{Green}}</cmath> | ||
− | Favorite software: <cmath> | + | Favorite software: <cmath>\mathit{Microsoft}\ \text{Excel}</cmath> |
Favorite Typesetting Software: <cmath>\text{\LaTeX}</cmath> | Favorite Typesetting Software: <cmath>\text{\LaTeX}</cmath> | ||
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+ | <math>\textit{Remark.}</math> | ||
+ | <cmath>\text\LaTeX>\text{Word}>\text{Canva}</cmath> | ||
+ | <cmath>\text{\LaTeX}+\textsf{beamer}>\text{Powerpoint}>\text{Canva}</cmath> | ||
+ | |||
Favorite Operating System: Linux (although I am rarely on one) | Favorite Operating System: Linux (although I am rarely on one) | ||
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+ | ==<math>\Large\text{\bfseries\LaTeX}</math> typesetting== | ||
Below are some stuff I am doing to practice <math>\text{\LaTeX}</math>. That does not mean I know all of it (actually the only ones I do not know yet is the cubic one and the <math>e^{i\pi}</math> one) | Below are some stuff I am doing to practice <math>\text{\LaTeX}</math>. That does not mean I know all of it (actually the only ones I do not know yet is the cubic one and the <math>e^{i\pi}</math> one) | ||
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+ | ==Personal== | ||
+ | Complementary casework example: https://artofproblemsolving.com/wiki/index.php/2024_AMC_8_Problems/Problem_25 | ||
− | + | ===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 \(4\times 6\) 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 | |
− | + | which simplifies the problem. | |
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− | + | Example: 2024 AMC 8 Problems/Problem 13. In this problem you can treat going up as |
Latest revision as of 14:32, 21 September 2024
Contents
[hide]Major Contributions
Favorites
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)
typesetting
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
Personal
Complementary casework example: https://artofproblemsolving.com/wiki/index.php/2024_AMC_8_Problems/Problem_25
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