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Sniðmát fyrir Samæfingar í Stærðfræði
Sniðmát fyrir Samæfingar í Stærðfræði
Þetta er sniðmát fyrir námskeiðið Samæfingar í stærðfræði, STÆ402G, vor 2017.
Benedikt Magnusson
Si \(AB=I\) entonces \(A\) es invertible y \(A^{-1}=B\)
Si \(AB=I\) entonces \(A\) es invertible y \(A^{-1}=B\)
Vamos a demostrar el notable teorema que dice que, dadas dos matrices cuadradras \(A\) y \(B\) del mismo tamaño, si \(AB=I\), donde \(I\) es la matriz identidad del mismo tamaño que la matrices \(A\) y \(B\), entonces \(A\) es invertible y \(B^{-1}=A\). La prueba será directa y sólo usaremos el hecho de que si \(|A|\ne0\) entonces \(A\) es invertible. La pregunta es si puedes tú, estimado estudiante, ofrecer otra prueba de la que aquí se sugiere. Sirva además este texto como un ejemplo de escritura con LaTeX.
Memo Garro
INTRODUÇÃO AO CÁLCULO DIFERENCIAL EM UMA ÚNICA VARIÁVEL: Uma visão generalizada e informal
INTRODUÇÃO AO CÁLCULO DIFERENCIAL EM UMA ÚNICA VARIÁVEL: Uma visão generalizada e informal
Um artigo que sugere somente a compreensão dos limites, sem o uso de sua definição formal, que se desenvolve até o entendimento das operações de diferenciação.
João Gabriel Bento
Automobile Suspension Design
Automobile Suspension Design
Vibration control is crucially important in ensuring a smooth ride for vehicle passengers. This study sought to design a suspension system for a car such that its mode of vibration would be predominantly bouncing at lower speeds, and primarily pitching at higher speeds. Our study used analytical and numerical methods to choose appropriate springs and dampers for the front and rear suspension. After an initial miscalculation, we succeeded in arriving at appropriate shocks for the vehicle with the desired modes of vibration at the specified frequencies. We then assessed the maximum bouncing and pitching that the vehicle would experience under a specific set of conditions: travel at 40 km/hr over broken, rough terrain. Our testing showed moderate success in our suspension design. We successfully damped the force being transmitted to both the front and rear quarter car somewhat, while ensuring that the modes of vibration fell into the desired shapes at the desired frequency ranges.
Little Ian
Generalidades de las soluciones a las ecuaciones de Einstein en presecia de una densidad del vacio que decae monotonamente con el parametro de Hubble en un espacio-tiempo plano
Generalidades de las soluciones a las ecuaciones de Einstein en presecia de una densidad del vacio que decae monotonamente con el parametro de Hubble en un espacio-tiempo plano
En este trabajo se estudia el comportamiento general del parametro de Hubble para un universo plano que alberga un gas ideal con presion positiva o nula junto con una densidad del vacio compuesta por un termino de costante cosmologica y un termino proporcional a una potencia positiva del parametro de Hubble. Al final se hace el paralelo entre un universo en expansion y el fenomeno de colapso gravitacional esfericamente simetrico. Obtenemos como conclusion que algunas dependencias de la densidad del vacio que crecen mas rapido que H2 inpiden la existencia de singularidades en procesos netamente gravitacionales.
leonardo duarte
Homework #1 Template
Homework #1 Template
A mathematics homework template.
Amanda
Definition Homework
Definition Homework
Latex assignment of the definition of a derivative
Joshua Garrett
Homework Template
Homework Template
A homework template. Modified from Igor Shevtsov's template.
Karla Hernandez
Prime Algorithms
Prime Algorithms
Primality Tests and Factoring Algorithms
Nadya

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