Algebraic topology

The application of algebraic topology to data analysis is relatively new but promising. When confronted with large volumes of high dimensional data we would like to identify significant phenomena, and the persistence of topological features provides a new and potentially useful measure of significance. A key promise of this method is the ability to identify features without a model- truly unsupervised learning. Unlike traditional statistical methods of data analysis which are primarily concerned

Montpellier, wanting to continue his fascination with math and become a mathematics teacher. He received a scholarship after three years in 1948 and moved to Paris, to the University of Nancy and worked on functional analysis. In 1957, he began to work on algebraic geometry and simple algebra. (The Famous People) The Institute of Advanced

Out-of-plane Compressive Properties of a Honeycomb Structures with Hexagonal Topology Fabricated by the Kirigami Techenique Belloufi Abderrahim , Mustapha Bouakba*, Mourad Boukhatem, Brahim Issasfa, Département de Génie Mécanique, Faculté des Sciences Appliquées Université Kasdi Merbah Ouargla, 30000 Algérie *Corresponding author: Email: bouakba.mu@gamil.com Abstract This work illustrates the manufacturing of the honeycomb hexagonal topology structures by the kirigami technical, and the compressive testing

Abstract—In this paper we define some properties of soft multi sets. We also define soft multi set topology, its interior exterior, boundary and their properties. We establish several important results in mathematical modeling of spacial objects using fuzzy soft interior, fuzzy soft exterior, fuzzy soft boundary. Keywords—Fuzzy Sets, Soft Sets, Multi Sets, Fuzzy Topology. I. INTRODUCTION (Heading 1) We may have to face vagueness in most of the engineering, physics, computer sciences, economics

Will Powers Dr. Lenore English 100 26 October, 2017 Modern Test Taking There have been many studies done to figure out which of the many testing styles allow students to both retain more information and help elevate some of the pre-exam stress, while at the same time not putting too much work on the professor. Out of all the styles that have been tested, two of the most common styles that constantly rival each other are the open book test vs. the closed book tests. Many teachers still cling to the

A tessellation is a pattern put together by identical shapes that fit together perfectly with no gaps or overlaps. M.C. Escher is the man who created the idea of tessellations, who is a Dutch graphic design artist. He had a very tough early life since he suffered from very common skin infections, which in turn caused him to do very poor in his core curriculum. Although he was very bad in his main subjects, he excelled in his music and art classes. As an artist, M.C. Escher began by drawing landscapes

Here, we extend the weak KAM and Aubry-Mather theories to optimal switching problems. We consider three issues: the analysis of the calculus of variations problem, the study of a generalized weak KAM theorem for solutions of weakly coupled systems of Hamilton-Jacobi equations, and the long-time behavior of time-dependent systems. We prove the existence and regularity of action minimizers, obtain necessary conditions for minimality, extend Fathi’s weak KAM theorem, and describe the asymptotic limit

Sequence: I use sequence first because, I like to take my time and do any assignments that my instructor gives me. I don’t like to rush through my work or have someone to tell me what to do, when I am in the middle of my assignment. I like to get a clear understanding and also like to do things step by step. When I am doing something for my teacher or just doing something for school I like to ask am I meeting their expectations that they are excepting of me to do. I also like for people to show me

A tessellation is when a shape is repeated over and over again, using transformations such as translations, reflections, rotations, and dilations. M. C. Escher was an artist and mathematician who made many types of art, but is most known for his tessellations. He was born in 1898 in the Netherlands, and died at age 73 in 1972. His full name is Marutis Cornelis Escher. As a kid, he got bad grades, but he was very creative and great at drawing. He went to college to study architecture, but didn’t

The Crimson Room The deep red blood coiled through my hands like snakes, ever changing, ever flowing. The crimson drops soon fell between the fingers and puddled together on the floor. She was no more. Many a times had I imagined this situation, however, I never imagined myself truly doing it. However, no amount of remorse or regret can bring the lifeless chunk of flesh lying at my feet back to life. Her eyes were still open in shock and awe, and her cold, stale face was still distorted into the