
The Arzela-Ascoli Theorem
We will form a proof of the Arzela-Ascoli Theorem through use of the Heine-Borel theorem. We will also be considering some notions of compactness on metric spaces. The Arzela-Ascoli Theorem then allows us to show compactness, letting us state and prove Peano's existence theorem, pertaining to the existence of the solutions of a type of ODE. Then we will state the Kolmogorov-Riesz compactness theorem, allowing us to show compactness in $L^p$ spaces, building from the Arzela-Ascoli Theorem.
Oliver Williamson

Calculus in a Nutshell
Calculus in a Nutshell is basically a summary of calculus. I am through power series. Thoughts, comments and edits are appreciated.
Seth Lewison

FSU-MATH2300-Project2
A second project for Calculus 1 at Fitchburg State. Explore the proofs of some of the derivative rules and derive new rules from old.
Sarah Wright

The dual of constrained KL-Divergence is the MLE of the log-linear model
The dual of constrained KL-Divergence is the MLE of the log-linear model
Dingquan Wang

Week 11 Tutorial Solutions
174 tutorial
Palmira Pereira

Math 333 F19 Weekly Homework 1
Proof for 2.17 and 2.22.
Juliet Traini

TIPE brachistochrone
On découpe ce document complexe en plusieurs sous-fichiers séparés.
Cela permettra notamment de réarranger les transparents facilement
lors de l'élaboration du document.
louis

Principio de identidad y del Argumento
Esta presentación algunas definiciones y resultados del análisis complejo; todas ellas presentadas con el fin de dar una prueba completa del principio de identidad y del principio del argumento.
Referencias de la presentación: Basic Complex ANalysis, 3rd Ed. Jerrold E. Marsden, Michael J. Hoffman.
Diego Alejandro

Simultaneous Localization And Mapping (SLAM) using RTAB-Map
This paper implements Simultaneous Localization and Mapping (SLAM) technique to construct a map of a given environment. A Real Time Appearance Based Mapping (RTAB-Map) approach was taken for accomplishing this task. Initially, a 2d occupancy grid and 3d octomap was created from a provided simulated environment. Next, a personal simulated environment was created for mapping as well. In this appearance based method, a process called Loop Closure is used to determine whether a robot has seen a location before or not. In this paper, it is seen that RTAB-Map is optimized for large scale and long term SLAM by using multiple strategies to allow for loop closure to be done in real time and the results depict that it can be an excellent solution for SLAM to develop robots that can map an environment in both 2d and 3d.
Sagarnil Das