Gallery Items tagged Math
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![Random Fibonacci Sequences](https://writelatex.s3.amazonaws.com/published_ver/3343.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=e2fa17be071b142eec1dcad1fd3971a44f2525e161559c9838f26dee6f23d4a8)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=41556a5c417d42366fb1be21ac9d7f88eaa6f38d9eac95826375c646ff16dc54)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=a14e9bd637367e9e6be17b803ce854455db268aed34825b33bae3cc941f0283b)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=322574c0c74948cf335850e5c5ca47ac68b1b1bd5a8036aa806adac9f510fecd)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=4e768ca9192dfa48cde77ef152f8c1515d0296e6ad6cd957d50fe2655852e73a)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=5a31a57ae48dd1c3eecf846f3cfa01f1b779ab6717842423046d915bf48600a2)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=0ceb672c8ef1b993e58d9ddbf2af95518313ab448ae252999217d52ba4780fb8)
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=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=e6bed644f91c4c083d56842d9b8a2f3dfb03bd65546bcf39bbfd6ee0efd3ffd1)
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
![Muffler Optimization](https://writelatex.s3.amazonaws.com/published_ver/1828.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240630T192149Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240630/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=a329e2c6cbba52844c972e8b38793441638c563a8137985735199866c11338d7)
Muffler Optimization
Maximization of muffler performance is important, but there is always space volume constraints.
Shape optimization of multi-segments Muffler coupled with the GA searching technique.
Outline:
Problem Statement
Derivation of Four Pole Matrices and an expression for STL
Introduction to GA and it's Implementation
A numerical case of noise elimination on pure tone
Results and Discussion
Vivek S