Gallery Items tagged Math

Derivation of the Lorentz Transformation in Einstein's Theory of Special Relativity
A non-rigorous proof of the Lorentz factor and transformation in Special relativity using inertial frames of reference.
Ivan V. Morozov

Dummit and Foote Chapter 2 Solutions
Solutions to Chapter 2 of Dummit and Foote's Abstract Algebra
James Ha

Una revisión del método Distance Weighted Discrimination: ¿Una mejora de SVM en dimensiones altas?
El análisis estadístico de alta dimensión y tamaño de muestra pequeño (HDLSS) se está aplicando cada vez más en una amplia gama de contextos. En tales situaciones, se ve que el popular método de la Máquina de Vectores Soporte (SVM) sufre de ''Acumulación de datos'' en el margen, lo que puede disminuir la capacidad de generalización del modelo. Esto conduce al desarrollo de la Distance Weighted Discrimination para encontrar un hiperplano separador . En el presente trabajo se revisa y reproduce, con detalle en la derivación y solución de la función de pérdida que se resuelve usando SOCP, del método desarrollado en e implementado en el entorno R\cite{R}. Basado en el trabajo e implementación de se aplica y comparan resultados a conjuntos de datos reales y simulados (en medida de lo posible los mismos conjuntos de datos utilizados que en)
Palabras clave: SVM, kernel, R (el ambiente de cómputo estadístico) y datos de alta dimensión con tamaño de muestra pequeño (data High Dimension Low Sample Size).
José Antonio garcia

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

Homework 8w
homework 8w
Geoffrey Bostany

Divisibility by 4
A proof of a number being divisible by 4
Jacob Hofer

Assignment One
Modern Algebra HW
Kenneth Iannello

Project Report Template
Project report template for mathematics courses at the Manchester Metropolitan University.
Jon Shiach

Proof Portfolio Template
Proof Portfolio Template for UConn Math 2710W Section 1, Spring 2019. Written by Katie Hall and Erin Rizzie.
Katie Hall