# Articles — Math

Articles tagged Math

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Inleveropgaven Basiswiskunde, Week 2
Voor huiswerkopdrachten
Sliem el Ela
Geometría Analítica
Geometría Analítica
CARLOS RODRÍGUEZ JASO
Charge to Mass Ratio of the Electron
For an electron moving in a circular path in a magnetic field, if we know the magnetic field strength, accelerating voltage, and radius of the electron's trajectory, then we can make an estimation of the electron's charge to mass ratio. We calculated an average charge to mass ratio of $$2.08 \times 10^{11} \pm 1.81 \times 10^8$$ Coulombs per kilogram.
Jake Rugh
Sine approximation
A 5th order sine wave approximation
Pepijn de Vos de Vos
Estudio del proceso termodinámico en una máquina de expreso
Estudio de los procesos termodinámicos que conllevan una máquina de expreso. Se utiliza solo agua, sin el filtro de café para utilizar solo la densidad del agua. Se encuentra que es similar a un proceso de Carnot, pero como un ciclo abierto.
Luis Alberto González José
The Schroeder-Bernstein theorem
The Schroeder-Bernstein theorem
Parth Mehta
Determining the Speed of Light
When measuring a speed, the most common way to calculate it is by recording how far something went and the time it took to go that far. In the case of light, this is very difficult. One could conceivably shine a light over a vast distance and have someone else record when they see the light, but this would be difficult even at large distances. The person recording when they see it will need to have terrific reflexes to accurately measure a correct time as the time will be very short. A better method involves the use of a quickly rotating mirror and a beam of light. By aiming a beam of light o the rotating mirror, then reflecting it o a second stationary mirror back into the rotating mirror, calculations can be made on the speed of light. After first hitting the rotating mirror, the mirror will rotate very slightly in the time it takes the beam of light to return and will reflect back to a different position from where it came from. By measuring the displacement of the round trip, a measurement of the speed of light can be made.
sampterson
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
Algebra Linear
Algebra Linear
Azuaite Schneider