# Articles — Math

Articles tagged Math

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experiments with the dynamics of the Riemann zeta function
We describe computer experiments suggesting that there is an infinite family L of Riemann zeta cycles Λ of each size L = 1, 2, 3, ....
Barry Brent
Transport humanitaire et la logistique de crise : comparaison de deux méthodes de calcul de tournées de véhicules
Cet article étudie deux méthodes utilisées dans le cadre du transport humanitaire en cas de crise (désastre, épidémie...). Le Covering Tour Problem se focalise sur l'équité de distribution des vivres, alors que le Capacitated Vehicle Routing Problem se concentre sur l'urgence de la distribution. Nous proposons une nouvelle approche mélangeant ces deux approches pour former une solution à la fois équitable et rapide. Ce article a été rédigé dans le cadre du TER 2014-2015.
Dimitry Berardi, Abdelwahab Heba, Boris Terooatea, Maël Valais
Gram-Schmidt Orthogonalization and QR decomposition
A very quick and easy to understand introduction to Gram-Schmidt Orthogonalization (Orthonormalization) and how to obtain QR decomposition of a matrix using it.
Mohd. Umar Rehman
Ejercicios en LaTeX
Mathematic homework exercise in LaTeX
Alvaro Polo Ulloque
Calculus BC Equations and Topics List
A study tool. Equations are mostly listed without a description of what they represent. Topics are detailed based on problems. Usage: To prepare for the Calculus BC exam, go through topics one at a time and mentally describe the problem, process, and equations involved. If you get stuck - look up the answer and start again from the top. When you can get through the entire sheet - you're ready! Do the same with the equation list - describing exactly what type of problems you might need the equation for. Do not use notes in conjunction with the review sheet. Look up the answer - close the book and start again! You can thank me later.
Rusty Laracuenti, Maia Zhang, Grace Ding
Resolução 3.9-b
Resolução
Guilherme Baumgratz Figueiroa
Methods to prevent overfitting and solve ill-posed problems in statistics: Ridge Regression and LASSO
Linear regression is one of the most widely used statistical methods available today. It is used by data analysts and students in almost every discipline. However, for the standard ordinary least squares method, there are several strong assumptions made about data that is often not true in real world data sets. This can cause numerous problems in the least squares model. One of the most common issues is a model overfitting the data. Ridge Regression and LASSO are two methods used to create a better and more accurate model. I will discuss how overfitting arises in least squares models and the reasoning for using Ridge Regression and LASSO include analysis of real world example data and compare these methods with OLS and each other to further infer the benefits and drawbacks of each method.
Chris Van Dusen