In algebra, a higher-order operad is a higher-dimensional generalization of an operad. (Wikipedia).
C34 Expanding this method to higher order linear differential equations
I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.
From playlist Differential Equations
Before we delve into higher order linear ODE's we have to look at some basic concepts.
From playlist Differential Equations
David Spivak - Sense-making: accounting for intelligibility - IPAM at UCLA
Recorded 19 February 2022. David Spivak of the Topos Institute presents "Sense-making: accounting for intelligibility" at IPAM's Mathematics of Collective Intelligence Workshop. Abstract: A mathematical field can be thought of as an accounting system: we use arithmetic in finance to accoun
From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.
Differential Equations: First Order Linear
We derive the solution to an arbitrary first order linear differential equation.
From playlist First Order Linear Differential Equations
C13 Third and higher order linear DE with constant coefficients
An example problem of a third-order, homogeneous, linear ODE with constant coefficients by making use of the roots of the auxiliary equation.
From playlist Differential Equations
Little disks operads and Feynman diagrams – Thomas Willwacher – ICM2018
Mathematical Physics | Topology Invited Lecture 11.3 | 6.5 Little disks operads and Feynman diagrams Thomas Willwacher Abstract: The little disks operads are classical objects in algebraic topology which have seen a wide range of applications in the past. For example they appear prominen
From playlist Mathematical Physics
The Theory of Higher Order Differential Equations
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Previously in my ODE Playlist we've talked about the theory of 1st order or 2nd order differential equati
From playlist Ordinary Differential Equations (ODEs)
Benoit Fresse: Rational homotopy theory, the little discs operads and graph complexes (Lecture 2)
The little cubes operads (and the equivalent little discs operads) were introduced by Boardman-Vogt and May for the study of iterated loop spaces. The study of the little cubes operads has been completely renewed during the last decade and new applications of these objects have been discov
From playlist HIM Lectures: Junior Trimester Program "Topology"
Benoit Fresse: Rational homotopy theory, the little discs operads and graph complexes (Lecture 3)
The little cubes operads (and the equivalent little discs operads) were introduced by Boardman-Vogt and May for the study of iterated loop spaces. The study of the little cubes operads has been completely renewed during the last decade and new applications of these objects have been discov
From playlist HIM Lectures: Junior Trimester Program "Topology"
Philip Hackney: Higher cyclic operads
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology and the Workshop: Interactions between operads and motives (16.09.2016)
From playlist HIM Lectures: Junior Trimester Program "Topology"
(2.3.1) Introduction to Higher Order Linear Differential Equations and Related Theorem
The video introduces higher order linear differential equations and related theorems on superposition, existence and uniqueness, and linear independence. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
GCSE Maths AQA Higher Linear Practice Paper 4 (Non Calc)
Powered by https://www.numerise.com/ AQA GCSE Linear Higher Practice Paper 4 (Non Calc) www.hegartymaths.com http://www.hegartymaths.com/
From playlist AQA Higher Linear Maths GCSE
Tashi Walde: 2-Segal spaces as invertible infinity-operads
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: We sketch the theory of (infinity-)operads via Segal dendroidal objects (due to Cisinski, Moerdijk and Weiss). We explain its relationship with the theory
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Associahedra: The Shapes of Multiplication | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What happens when you multiply shapes? This is part 2 of our episode on multiplying things that aren't numbers. You can check out part 1: The Multiplication Multiverse
From playlist An Infinite Playlist
B14 Simplifying a system of higher order ODEs
Simplifying a system of higher-order ODE's in order to solve them through numerical analysis.
From playlist A Second Course in Differential Equations
Camell Kachour - Globular perspective for Grothendieck ∞-topos and Grothendieck (∞,n)-topos
In this short talk we first briefly recall [4] how to build, for each integers n0, monads Tn on the category Glob of globular sets which algebras are globular models of (1; n)-categories, which have the virtue to be weak 1-categories of Penon and thus also to be weak 1-categories of Batani
From playlist Topos à l'IHES
Gregory Arone: Calculus of functors and homotopy theory (Lecture 2)
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "Seminar on Functor Calculus and Chromatic Methods" Abstract: The derivatives of a functor have a bimodule structure over a certain operad. If the Tate homology of the derivatives vanish, then
From playlist HIM Lectures: Junior Trimester Program "Topology"
Johan Alm: Brown's dihedral moduli space and freedom of the gravity operad
Abstract: Ezra Getzler's gravity cooperad is formed by the degree-shifted cohomology groups of the open moduli spaces M_{0,n}. Francis Brown introduced partial compactifications of these moduli spaces, denoted M_{0,n}^δ. We prove that the (nonsymmetric) gravity cooperad is cofreely cogener
From playlist HIM Lectures: Junior Trimester Program "Topology"
The first method for solving second order linear ODE's uses reduction in order. In this method the second derivative is reduced to a first derivative in the dependent variable, which can usually be solved by separation of variables, or by introduction an integrating factor.
From playlist Differential Equations