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![Involutory Property of the Discrete Hartley Transform](https://writelatex.s3.amazonaws.com/published_ver/3660.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=e43f5139e56f121df4b6d7f95f5d4a15d0d54d201c4b61b1f7acc6f6ab353d9b)
Involutory Property of the Discrete Hartley Transform
Discret Hartley Transform is a unitary transform although its proof is hard to find in the Web. This short note explains that the Discrete Hartley Transform is an involution, which implies that this transform is unitary indeed.
Frank the Bunny
![Combinatorics](https://writelatex.s3.amazonaws.com/published_ver/3664.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=62d6dc265dfa166751813c4686fabc51dfcf988d44b761d1691753e56bedd81d)
Combinatorics
Some notes on combinatorics
Eli Stoken
![Two Simple Proofs for Cramer's Rule](https://writelatex.s3.amazonaws.com/published_ver/3647.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=ebd2d589cf76c9a06898424f6f53e973dc7849bfe749fe76e36f36bad8045655)
Two Simple Proofs for Cramer's Rule
Cramer's rule is usually explained by cofactor expansion of determinant. This note explains two alternative and simple proofs.
Frank the Bunny
![Formulação de problemas como busca](https://writelatex.s3.amazonaws.com/published_ver/3609.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=7b3cfd9d862e4321d2d4e5a685d137fb39c792cb2f4f50b4e4af2c6f8c0c1407)
Formulação de problemas como busca
Esse trabalho tem como objetivo formular problemas como busca.
Marcos Castro de Souza
![Контрольная работа по правоведению](https://writelatex.s3.amazonaws.com/published_ver/3510.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=bd39a0ec5cfe7a73d0787b32c041ddbab6f3d305c203998efb1ec9c94268ea1d)
Контрольная работа по правоведению
Контрольная работа по правоведению
fikus
![MOHIT B. SARVAIYA's CV](https://writelatex.s3.amazonaws.com/published_ver/3568.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=65c4eb1198bef5ad651a68a909a322df9fa71a4861dbfacfabd664962dd91bff)
MOHIT B. SARVAIYA's CV
MOHIT B. SARVAIYA's CV
MOHIT SARVAIYA
![Quadratic Functions](https://writelatex.s3.amazonaws.com/published_ver/3733.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=df3eba77939e5b37a89a079de43532a97577ca3aa5c0a8576d8b8b15dae226f0)
Quadratic Functions
Notes on quadratic functions for Mathematics Standard Level
(Hey Mr.Zamar)
bala rajakumar
![GOMOKU & Minimax-alphabeta search](https://writelatex.s3.amazonaws.com/published_ver/3374.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=5126e28e70ebcb60416de46d9174864cb0b72665fc85e1d08a62be80703b37b2)
GOMOKU & Minimax-alphabeta search
Gomoku is an abstract strategy board game, also called Omok or Five in a Row. This paper explains the implementation of an AI with minimax alpha-beta search with a sequences pattern recognition.
Nikolai Shevchenko
![Probability Homework 8 Solution](https://writelatex.s3.amazonaws.com/published_ver/3328.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T235413Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=dd9438415494c0904f16ff2f3d1926a8e55f37893556fb06b8d41a5c261d8cae)
Probability Homework 8 Solution
This LaTex file is composed using LaTex.It's my probability homework published here only with the purpose of making more people get to know and use LaTex well!
Jindong Wang