Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
Michał Lipiński 7/20/20: Conley-Morse-Forman theory for generalized combinatorial multivector fields
Title: Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces Abstract: The combinatorial approach to dynamics has its origins in the Forman's (1998) concept of a combinatorial vector field. The original motivation of Forman was the presen
From playlist ATMCS/AATRN 2020
Recent progress in multiplicative number theory – Kaisa Matomäki & Maksym Radziwiłł – ICM2018
Number Theory Invited Lecture 3.5 Recent progress in multiplicative number theory Kaisa Matomäki & Maksym Radziwiłł Abstract: Multiplicative number theory aims to understand the ways in which integers factorize, and the distribution of integers with special multiplicative properties (suc
From playlist Number Theory
Math 139 Fourier Analysis Lecture 05: Convolutions and Approximation of the Identity
Convolutions and Good Kernels. Definition of convolution. Convolution with the n-th Dirichlet kernel yields the n-th partial sum of the Fourier series. Basic properties of convolution; continuity of the convolution of integrable functions.
From playlist Course 8: Fourier Analysis
Konstantin Mischaikow (8/28/21): Solving systems of ODEs via combinatorial homological algebra
Using the simplest possible nontrivial model system (2-dimensional with continuous piecewise linear nonlinearities, but a high dimensional parameter space) and as many pictures as possible I will outline how one can efficiently compute a homological representation of dynamics and then demo
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Konstantin Mischaikow (1/27/21): Nonlinear Dynamics in an Age of Heuristic Science
Title: Nonlinear Dynamics in an Age of Heuristic Science Abstract: Motivated by problems in systems and synthetic biology (but I believe the problems are common to multiscale systems and data driven science) I will argue the need for a new framework in which to discuss nonlinear dynamics
From playlist AATRN 2021
Marian Mrozek (8/30/21): Combinatorial vs. Classical Dynamics: Recurrence
The study of combinatorial dynamical systems goes back to the seminal 1998 papers by Robin Forman. The main motivation to study combinatorial dynamics comes from data science. Combinatorial dynamics also provides very concise models of dynamical phenomena. Moreover, some topological invari
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Cylindrical contact homology as a well-defined homology? - Joanna Nelson
Joanna Nelson Institute for Advanced Study; Member, School of Mathematics February 7, 2014 In this talk I will explain how the heuristic arguments sketched in literature since 1999 fail to define a homology theory. These issues will be made clear with concrete examples and we will explore
From playlist Mathematics
Equivariant and nonequivariant contact homology - Jo Nelson
Symplectic Dynamics/Geometry Seminar Topic: Equivariant and nonequivariant contact homology Speaker: Jo Nelson Affiliation: Rice University Date: March 20, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Visual Group Theory, Lecture 3.7: Conjugacy classes
Visual Group Theory, Lecture 3.7: Conjugacy classes We were first introduced to the concept of conjugacy when studying normal subgroups: H is normal if every conjugate of H is equal to H. Alternatively, we can fix an element x of G, and ask: "which elements can be written as conjugates o
From playlist Visual Group Theory
Cylindrical contact homology in dimension 3 via intersection theory and more - Joanna Nelson
Joanna Nelson Member, School of Mathematics October 1, 2014 More videos on http://video.ias.edu
From playlist Mathematics
From playlist Courses and Series
From playlist Courses and Series
Volume in Seiberg-Witten theory and the existence of two Reeb orbits - Daniel Cristofaro-Gardiner
Daniel Cristofaro-Gardiner University of California, Berkeley; Member, School of Mathematics November 1, 2013 I will discuss recent joint work with Vinicius Gripp and Michael Hutchings relating the volume of any contact three-manifold to the length of certain finite sets of Reeb orbits. I
From playlist Mathematics
Category Theory and Robotics - Paul Gustafson
A discussion with Paul Gustafson on how to apply Category Theory to Robotics. Tasks can be composed either sequentiall or in parallel and up until now there has been no formalism to describe how this happens. The only prerequisite for this talk is curiosity around robotics or category th
From playlist Interviews
10/18/18 Konstantin Mischaikow
A Combinatorial/Algebraic Topological Approach to Nonlinear Dynamics
From playlist Fall 2018 Symbolic-Numeric Computing
11_6_3 Contours and Tangents to Contrours Part 3
Using the gradient as a perpendicular vector to the tangent of a contour of a function's graph to calculate an equation for a tangent (hyper)plane to the function.
From playlist Advanced Calculus / Multivariable Calculus