In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces. The coproduct of a family of objects is essentially the "least specific" object to which each object in the family admits a morphism. It is the category-theoretic dual notion to the categorical product, which means the definition is the same as the product but with all arrows reversed. Despite this seemingly innocuous change in the name and notation, coproducts can be and typically are dramatically different from products. (Wikipedia).
Quadratic approximation formula, part 1
How to creat a quadratic function that approximates an arbitrary two-variable function.
From playlist Multivariable calculus
Using Distributive property twice and combining like terms to solve for x
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solve a multi step equation with two variables and distributive property ex 19, β7=3(tβ5)βt
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Applying distributive property with a negative one to solve the multi step equation
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solving an equation for x using distributive property twice
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
In this video, we discuss colimits and decomposition of those in β-categories. This is the third video in our introduction to β-categories and Higher Algebra. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture H
From playlist Higher Algebra
LoΓ―c FOISSY - Cointeracting Bialgebras
Pairs of cointeracting bialgebras recently appears in the literature of combinatorial Hopf algebras, with examples based on formal series, on trees (Calaque, Ebrahimi-Fard, Manchon), graphs (Manchon), posets... We will give several results obtained on pairs of cointeracting bialgebras: act
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Daniel Isaksen - 2/3 Motivic and Equivariant Stable Homotopy Groups
Notes: https://nextcloud.ihes.fr/index.php/s/EyZRRtDq965o6WC I will discuss a program for computing C2-equivariant, β-motivic, β-motivic, and classical stable homotopy groups, emphasizing the connections and relationships between the four homotopical contexts. The Adams spectral sequence
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Benjamin Enriquez: A Betti counterpart of the harmonic coproduct II
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: In earlier work, we proved that Racinet's double shuffle group is the stabilizer of the harmonic coproduct defined on a subalgebra of the free
From playlist Workshop: "Periods and Regulators"
Introduction to Homotopy Theory: Part 6- Projective and Injective Morphisms
Credits: nLab: https://ncatlab.org/nlab/show/Introdu...β Animation library: https://github.com/3b1b/manimββββ My own code/modified library: https://github.com/treemcgee42/youtube Music: βΊ Artist Attribution β’ Music By: "KaizanBlu" β’ Track Name: "Remember (Extended Mix)" β’ YouTube Track L
From playlist Introduction to Homotopy Theory
Coproduct Structures, a Tale of Two Outputs - Lea Kenigsberg
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Coproduct Structures, a Tale of Two Outputs Speaker: Lea Kenigsberg Affiliation: Columbia University Date: November 25, 2022 I will motivate the study of coproducts and describe a new coproduct structure on
From playlist Mathematics
Solving an equation with parentheses
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solving an equation with parentheses
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solving an equation with parentheses
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Categories 5 Limits and colimits
This lecture is part of an online course on category theory. We define limits and colimits of functors, and show how various constructions (products, kernels, inverse limits, and so on) are special cases of this. We also describe how adoint functors preserve limits or colimits. For the
From playlist Categories for the idle mathematician
Solving an equation with variables on both side and one solution
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist Solve Multi-Step Equations......Help!
Pablo Linares & Markus Tempelmayr - A tree-free construction of the structure group
We present a new approach to regularity structures, and in particular to the construction of the structure group, which replaces the tree-based framework of Hairer by a more Lie-geometric setting. We consider the space of pairs (a,p), where a is a placeholder for the nonlinearity and p is
From playlist Research Spotlight
The cup product operation [Ling Zhou]
In this tutorial, you will learn about the cup product operation in the simplicial setting, and go through an example of computing it in the 2-torus. The cup product induces a ring structure on cohomology, making it more informative than homology. In the TDA community, many attentions have
From playlist Tutorial-a-thon 2021 Fall
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis