# Articles — Math

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Distance between two hyperplanes
For my beloved students
Artem Kalchenko
Solucion parcial 3, álgebra para Física, 2018-1
Solución al tercer parcial del curso de Álgebra para la licenciatura de Física, Facultad de Ciencias, UNAM. Semestre 2018-1
Memo Garro
Extra Credit Problem
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William Slatton
EECS16A Optional Review Session II (Fall 2015)
Guerilla Section 2 Worksheet
EE16A Staff
When Area and Perimeter are “Equal”
Various geometrical shapes are described, for which the numerical value of the perimeter is the same as that of the area. Cases of one or two parameters are explored.
Rick Powers
Edge-Disjoint Tree Realization of Tree Degree Matrices that avoid routine induction
Identifying whether a degree matrix has an edge-disjoint realization is an NP-hard problem. In comparison, identifying whether a tree degree matrix has an edge-disjoint realization is easier, but the task is still challenging. In 1975, a sufficient condition for the tree degree matrices with three rows has been found, but the condition has not been improved since. This paper contains an essential part of the proof which improves the sufficient condition.
Ian Seong
Lifting The Exponent Lemma
Lifting The Exponent Lemma
Jan Kociniak
Solucion parcial 2
Solución al segundo examen parcial de álgebra
Memo Garro
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