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![Ferromagnetism formal report](https://writelatex.s3.amazonaws.com/published_ver/3742.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=d8573763666358f74952e4ccecf0ef785b132273957e591eeddf5aaa4b49d223)
Ferromagnetism formal report
This report provides insight into the magnetic phenomenon of Hysteresis. Hysteresis is defined as a retardation effect where the magnetisation of a magnetic material lags behind the magnetizing force. Here we will explore the hysteresis loop for a silver steel ferromagnet and use this to discover it’s magnetic properties. The method used will be to place a ferromagnet inside a solenoid with an alternating voltage which will continually reverse the magnetic field and magnetism direction. The relation between these two quantities will be used to produce a hysteresis loop from which magnetic properties can be deduced. The results obtained were: saturation magnetisation = (8.4±0.5)(105)Am-1; remnant magnetisation = (5.9±0.5)(105)Am-1; coercive field: (4.3±0.5)(104)Am-1; energy expended per cycle per unit volume of material: (1.55±0.05)(103)Jm-3s-1; energy product: (8.7±3.0)(104)Jm-3.
David Scobie
![Random Fibonacci Sequences](https://writelatex.s3.amazonaws.com/published_ver/3343.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=95391cd30657d2fd512124128d507e3057ce6b30c247b55b56c0b6d4847e7bb6)
Random Fibonacci Sequences
This paper will be looking at the development of random Fibonacci sequences throughout history and investigating the various mathematical methods used by many mathematicians to determine important qualities about the sequence, which all lead to the growth rate.
samkoper
![Numerical and Analytic Methods in Option Pricing](https://writelatex.s3.amazonaws.com/published_ver/1989.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=7bec49a6829baa72bf2bb6a0bebd7afb0ac00a257ac640d811aebd3eca531957)
Numerical and Analytic Methods in Option Pricing
In this paper we discuss how to price American, European and Asian options using a geometric Brownian motion model for stock price. We investigate the analytic solution for Black-Scholes differential equation for European options and consider numerical methods for approximating the price of other types of options. These numerical methods include Monte Carlo, binomial trees, trinomial trees and finite difference methods. We conclude our discussion with an investigation of how these methods perform with respect to the changes in different Greeks. Further analysing how the value of a certain Greeks affect the price of a given option.
Dexter Edwards
![The Relevancy of Calculus in the Science Classroom; How CCSS/NGSS can help bridge the gap](https://writelatex.s3.amazonaws.com/published_ver/4286.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=8e54dbb3957478cccb1d94da66fdfe5b6a7fcb826ef90f92af2e17409f0fcdf9)
The Relevancy of Calculus in the Science Classroom; How CCSS/NGSS can help bridge the gap
A survey from the perspective of a 25 year High School Science teacher on how Calculus is relevant to the high school science classroom, supported by CCSSM and NGSS.
Angela B. Vercher
![Fixed Point and Steffensen's Acceleration](https://writelatex.s3.amazonaws.com/published_ver/1880.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=954978cfedf751bb358b946940ba51405e780c4fdffdbb4c806fcb398544b8d4)
Fixed Point and Steffensen's Acceleration
Math336 Project
zekeriya
![Deriving the summation formula of any Converged Arithmetic Series](https://writelatex.s3.amazonaws.com/published_ver/8137.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=85109bdf808b6a9fa4ac002c77157c8e12d95874ebfc4c0b7dcce910fe52e407)
Deriving the summation formula of any Converged Arithmetic Series
I have shown here how to derive the summation of a convergent Arithmetic series and get two results as answers
Adrian D'Costa
![THE VOLUME OF n-BALLS](https://writelatex.s3.amazonaws.com/published_ver/5905.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=d60e17e56bc9caf23428214766f3534bcebebf196fd44275bcaa2d49bc8a7875)
THE VOLUME OF n-BALLS
Our goal is to derive a formula for the volume of n-dimensional balls in Rn.
Cerbi Ritchey
![Writing Up Solutions Using LaTeX](https://writelatex.s3.amazonaws.com/published_ver/7706.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=c1bfbc34c6b8dc59a328c0d4c7988525c9b378276f338fd78ecd9e10a2ba8773)
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
![A New Definition of Pressure Based on Kinetic Theory Derivations](https://writelatex.s3.amazonaws.com/published_ver/8326.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T162215Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=7017c7d15dfe8438441815eeef3074915d49c855cefb2b9bebeba12fc86ce56d)
A New Definition of Pressure Based on Kinetic Theory Derivations
Typical derivations of kinetic theory equations often exchange the contact time of the particle on a wall with the period of the particle's motion between walls. In this paper we redefine pressure as time-dependent in order to solve this issue and show that this definition makes much more intuitive and theoretical sense than our old definition of pressure.
Nik Gjonbalaj