LaTeX templates and examples — Math
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![Muffler Optimization](https://writelatex.s3.amazonaws.com/published_ver/1828.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=18ef2ac240342c4550b6c3458b3db5d4f65d593808528f9b63f9cd142c96a774)
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
![Math 210 Portfolio](https://writelatex.s3.amazonaws.com/published_ver/1032.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=4cd9d82da2a8d0217cecd3068e4383ed95da692811684e2a475573bb11afbf85)
This template provides a framework and example for portfolio submissions for students at Grand Valley State University who are in Professor Wells' Math 210 classes.
![Machine Learning for Trading](https://writelatex.s3.amazonaws.com/published_ver/4240.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=8e456d8bba00890ed72582a3ff3ed422819e93c6511e4aac0e3cce0845ae7d8d)
Document describing basic economic and statistical analysis and how to apply them to machine learning
![The Mechanics of a Spiral Water Pump](https://writelatex.s3.amazonaws.com/published_ver/5841.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=67e2b413159e077e47f1c1636d1010a6836f763b8e80739efcfc4a45bf314d37)
The fundamental necessity for water is a widespread issue affecting many communities across the globe. In this project, our team sought to provide an innovative solution to this problem for a small community with access to a relatively close source of flowing water. Resultant flow rate of water was calculated to be 0.498 L/min. Stress and strain analysis on individual subsections of the system were as follows: -44.2 MPa for bending moment in the rod; -7.04 MPa for shear stresses in the rod of the axis; -8.88E-5 for shear strain in the rod ; -1.11 MPa and .429 MPa of shear stresses in the L brackets; -0.123 MPa for radial stress of spiral, -0.422 MPa for hoop stress of spiral, -2.10 MPa for bending moment of spiral, and -0.176 MPa for the maximum shear stress of the spiral pump on the rotating wheel. The focus of the design remained fixated on water acquisition; however, further additions can be made for water purification.
![Бие даалт -бодлого](https://writelatex.s3.amazonaws.com/published_ver/4936.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=dee042c0170a701ebcbef24c229d4275eb5561057818cedb76d06e1b91c95789)
Бүлэг V.
![Neural Network Basic to Application](https://writelatex.s3.amazonaws.com/published_ver/11327.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=103bb9faf5679dcc49f4b3b5ab167ec96f02e42ea2ebe4dd18f8c41113787ab9)
Explaining of Neural Network by painting style transfer
![Iteration of Matrices and the Fibonacci Sequence](https://writelatex.s3.amazonaws.com/published_ver/205.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=ef0d30a933c422a60c712a7b21bce58eb9349ac3348298fd8d25e0877d8c7f19)
We examine repeated iteration of various matrices from a graphical view, plotting each iterate vector for numerous randomly chosen initial values. Then we examine a specific matrix and how why it generates the Fibonacci sequence.
![Maxwell's Equations and the Wave Equation](https://writelatex.s3.amazonaws.com/published_ver/3884.jpeg?X-Amz-Expires=14400&X-Amz-Date=20250116T061712Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20250116/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=c8a53f0dc3e687202d167cf1ca6f93abfcb10d8912f8491e52fde04f43dcdbe6)
Here I derive the wave equation in a manner that allows you to look at each step individually
\begin
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