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![The addition formulas for the hyperbolic sine and cosine functions via linear algebra](https://writelatex.s3.amazonaws.com/published_ver/4599.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=68b19f0a2ed0dcd5f4b8049e95f044fb1a3e1d98f7cf9c9bd59ba11a9a0f6c87)
The addition formulas for the hyperbolic sine and cosine functions via linear algebra
We present a geometric proof of the addition formulas for the hyperbolic sine and cosine functions, using elementary properties of linear transformations.
David Radcliffe
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Teorijska pitanja iz Booleove algebre
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Aleksandar Ilić
![ABI17 KURS Übung1: Funktionsuntersuchung Typ: ganzrationale Funktionen](https://writelatex.s3.amazonaws.com/published_ver/4274.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=78d9ddb5ba1f1b2b5fa98e9e3a0d808585398b85f964d06d90d5dbed5fa394f3)
ABI17 KURS Übung1: Funktionsuntersuchung Typ: ganzrationale Funktionen
Funktionsuntersuchung, Übung 1
Dmitrij Moreinis
![induced subgraphs](https://writelatex.s3.amazonaws.com/published_ver/4250.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=0f1897a30d7bb5f6d8f6210f92407322b42b6b40fc8fb6fa137916537df86c76)
induced subgraphs
induced subgraphs question
Jimmy Cao
![LABORATORIO 3](https://writelatex.s3.amazonaws.com/published_ver/4237.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=ec8d2ef28f65989261ab3dfb04fa7bb194b9771a9129214033ea29b0ffbb3c92)
LABORATORIO 3
laborario 3 de calculo vectorial
sebastian diaz
![Oscilaciones del Neutrino](https://writelatex.s3.amazonaws.com/published_ver/4222.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=c60eedf20c4ae534f59c2f0f56c31d1f7bb933bd51cf625027a09e98d76ab854)
Oscilaciones del Neutrino
Las observaciones han mostrado que el numero de neutrinos electrónicos νe que llegan a la tierra desde el sol es aproximadamente la mitad del número esperado de nuestro conocimiento de las reacciones nucleares que ocurren al interior del sol. Estas observaciones se explican como el resultado de que algunos neutrinos electrónicos νe se convierten en neutrinos muónicos νμ y neutrinos tauónicos ντ durante su recorrido entre su creación al interior del sol y su observación en la tierra. Este cambio de un sabor a otro se conoce como oscilaciónes del neutrino. Se introduce un término de masa para el neutrino que es invariante de Lorentz en la densidad lagrangiana del modelo estándar (SM), y se describe el estado del neutrino |να⟩(α = e, μ, τ) como una combinación lineal de autoestados de masa |νi⟩ (i=1,2,3), lo cual conduce a las oscilaciones del neutrino.
Daniel Ocampo Henao
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assignment 2, Ordinära differentialekvationer, MMG511 / MVE162
Göteborg universitet / Chalmers
Elias Kamyab Orvar
![MY FAVORITE THEOREM](https://writelatex.s3.amazonaws.com/published_ver/3934.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=69822fcdf14fd238f557883c9405c3232e8cba2fa23e893b95290e6a21efa2e0)
MY FAVORITE THEOREM
A requirement for our Math330 class.
princess sy
![Übung: Lineare Gleichungsysteme](https://writelatex.s3.amazonaws.com/published_ver/3907.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240717T180938Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240717/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=84114b12453d409c5a6717d4c6d0f20b9cd2826df1af98544bec95a97e20b154)
Übung: Lineare Gleichungsysteme
Übung: Lineare Gleichungssysteme
Dmitrij Moreinis