LaTeX templates and examples — Lecture Notes
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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=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=107c98702dcdc1a22e4b0006e2284fbe9a1e3ffbe201510c99e141e290fd9b74)
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.
![Combinatorics](https://writelatex.s3.amazonaws.com/published_ver/3664.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=440b8f322582c7ce023fdf656826830f2df87cb87b08cbe044128b2b7dd160ed)
Some notes on combinatorics
![Two Simple Proofs for Cramer's Rule](https://writelatex.s3.amazonaws.com/published_ver/3647.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=0a8656e7ef6dfe0666bf9ff1038e7ccbca55b93cd59d12a0a053aea3af657850)
Cramer's rule is usually explained by cofactor expansion of determinant. This note explains two alternative and simple proofs.
![Quadratic Functions](https://writelatex.s3.amazonaws.com/published_ver/3733.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=747a2623c495e799e5da07605165712817c9b92b0bbbf880dfbb530d116ff4b9)
Notes on quadratic functions for Mathematics Standard Level (Hey Mr.Zamar)
![Resenha: O Congresso Futurista](https://writelatex.s3.amazonaws.com/published_ver/2579.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=25b6cb24efc98a270b7b93aea60675bd96d46039846d1b48009c889c7f2f9cba)
Resenha para a disciplina de Filosofia da Tecnologia sobre o filme "O Congresso Futurista"
![Módulo de Young](https://writelatex.s3.amazonaws.com/published_ver/2262.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=132b68016ba413525031b94f21d45656b3128da9dd5deb693c6aa552e8ec5f45)
trabajo universitario con explicación breve del módulo de young
![SCD - Sitemas de Controle Dinâmicos: Função de Transferência](https://writelatex.s3.amazonaws.com/published_ver/12294.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=5b9ec5c35b6be156612af36e9585892a1d120db2e4ef4158fefb9980151bf967)
Trabalho apresentado na Disciplina: Modelagem de Modelos Matemáticos no CEFET-MG Unidade Timóteo/MG
![Factor Analysis Derivation](https://writelatex.s3.amazonaws.com/published_ver/10557.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=6ca950c8bfa193927a9e0eddb6dc22f70ee2d99f3bcee28ab69aa045adc3b91d)
Just another Factor Analysis derivation. Refer to Stanford Lecture Notes CS229.
![Kafka Lecture Notes](https://writelatex.s3.amazonaws.com/published_ver/10542.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250118T223631Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250118/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=1f2e008f46299ca717b011d24e595368dfd3fb18f852e893f76e20dc6880d8b9)
Kafka Style for Lecture Notes
\begin
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