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Riemann Rearrangement Thoerem and Proof
Riemann Rearrangement Thoerem and Proof
A simple proof of Riemann's Rearrangement Theorem. Also called Riemann's series theorem.
David Klapheck
MV013 final assignment report
MV013 final assignment report
Template for the final assignment report for the course MV013 Statistics for Computer Science taught at the Faculy of Informatics, Masaryk University, Brno.
Pavel Břoušek
Investigating the Motion of a High Speed Projectile Moving Through a Liquid
Investigating the Motion of a High Speed Projectile Moving Through a Liquid
This investigation explores the conditions under which an object, moving through a liquid in high speed, has the greatest deceleration. The conditions focused on are the mass of the object, its initial velocity and its entry angle into the liquid. This is achieved through shooting pellets of varied masses and energies out of two different soft guns at a water container, recording them with a high speed camera and mapping their motion with a tracking program. The results of the experiment indicate that the lesser the mass of the object, the greater its deceleration in the fluid. The initial velocity and the entry angle of the object do not influence the rate of its speed loss. It is further explored that as the density of the fluid becomes greater, so does the deceleration of the object. The investigation is intended to deepen the understanding of the high speed motion through a medium.
Marta Mrozowska
Writing Up Solutions Using LaTeX
Writing Up Solutions Using LaTeX
A sample document with some code, useful packages, resources, and sample solution writeups to help Phillips Academy math students get started with Overleaf and LaTeX.
Logan Jester
Limiting Sample Damage In Laser Diagnostics
Limiting Sample Damage In Laser Diagnostics
Tests conducted comparing the effect exposure of Paracetamol to a laser with oven heating a sample to a temperature above its melting point, 169 degrees Celsius showed similarities. This implies that the primary cause of sample damage during Raman spectroscopy is heating. It was found that inserting a piece of glass between the sample and the microscope lens dramatically reduced the ability of the laser to damage samples. Computer models indicate that rotating a sample at 8 rotations per minute could be an effective method of limiting sample damage, and is a potential alternative to active cooling if this becomes financially and logistically viable in industry. Active sample cooling was investigated, but results proved inconclusive. This is a key area for any future research on the topic.
Toby Toller
Template IBP - Rio Pipeline
Template IBP - Rio Pipeline
An attempt to fulfill the format required by the Rio Pipeline 2017 Conference.
Marcelo Lima
AXRO proceedings template
AXRO proceedings template
This template can be used to prepare a proceeding for the 10th International Workshop on Astronomical X-Ray Optics, Prague
CAOSP
Newton's Method Cycles
Newton's Method Cycles
Based on the paper Sometimes Newton's Method Cycles, we first asked ourselves if there were any Newtonian Method Cycle functions which have non-trivial guesses. We encountered a way to create functions that cycle between a set number of points with any initial, non-trivial guesses when Newton's Method is applied. We exercised these possibilities through the methods of 2-cycles, 3-cycles and 4-cycles. We then generalized these cycles into k-cycles. After generalizing Newton's Method, we found the conditions that skew the cycles into a spiral pattern which will either converge, diverge or become a near-cycle. Once we obtained all this information, we explored additional questions that rose up from our initial exploration of Newton's Method.
Edgara Vanoye & MacKay Martin
ORIGIN OF MASSLESS PARTILES
ORIGIN OF MASSLESS PARTILES
In this theory,we are going to describe how massless particles(photons,gluons) were originated just after bigbang.here i have done how a massive confined energy propagated and how it becomes any of the massless relativistic particle which travels at \(c\) speed.again i am going to describe ,what does emission of a photon really means.
Sarthak sourav dash