Graph algorithms | Graph rewriting

Double pushout graph rewriting

In computer science, double pushout graph rewriting (or DPO graph rewriting) refers to a mathematical framework for graph rewriting. It was introduced as one of the first algebraic approaches to graph rewriting in the article "Graph-grammars: An algebraic approach" (1973). It has since been generalized to allow rewriting structures which are not graphs, and to handle negative application conditions, among other extensions. (Wikipedia).

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Graph Transformations | Graphs | Maths | FuseSchool

Graphs can be shifted and reflected, stretched and squashed. These are all known as transformations. And so now we’re going to look at stretching and squashing. We will discover how the equation of the graph looks, compared to it’s changed shape. Let’s start with vertical stretches and squ

From playlist MATHS

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Solving a two step equation with negative variable

👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to

From playlist Solve Two Step Equations

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Backpropagation 2

This is a sequel to Backpropagation 1: https://youtu.be/NLchKk9Cawg Here we mathematically justify the backpropagation algorithm.

From playlist MachineLearning

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Stable Homotopy Seminar, 10: Fiber and Cofiber Sequences of Spectra

(Note: some internet issues forced me to do the second half of this on the blackboard, so the quality's a bit worse.) We generalize the notion of fiber & cofiber sequence to arbitrary pointed model categories, using the notion of homotopy limit and colimit defined last time. Cofiber sequ

From playlist Stable Homotopy Seminar

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Ignat Soroko: Intersections and joins of subgroups in free groups

Abstract : The famous Hanna Neumann Conjecture (now the Friedman--Mineyev theorem) gives an upper bound for the ranks of the intersection of arbitrary subgroups H and K of a non-abelian free group. It is an interesting question to `quantify' this bound with respect to the rank of the join

From playlist Virtual Conference

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Charles Rezk - 2/4 Higher Topos Theory

Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart2.pdf In this series of lectures I will give an introduction to the concept of "infinity

From playlist Toposes online

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Example 2: Multiplication Involving Mixed Numbers

This video provides two more examples of multiplying mixed numbers. Complete video list at http://www.mathispower4u.com

From playlist Multiplying and Dividing Mixed Numbers

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Solving an equation with a variable on both sides infinite solutions

👉 Learn how to solve multi-step equations with parenthesis and 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

From playlist Solve Multi-Step Equations......Help!

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Ex: Solving a Multi-Step Linear Equation in One Variable

This video explains how to solve a multi-step linear equation in one variable with parentheses and variables on both sides of the equation. website: http://mathispower4u.com blog: http://mathispower4u.wordpress.com

From playlist Solving Multi-Step Equations

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Solving an equation with distributive property on both sides

👉 Learn how to solve multi-step equations with parenthesis and 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

From playlist Solve Multi-Step Equations......Help!

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Higher algebra 4: Derived categories as ∞-categories

In this video, we construct the ∞-categorical refinement of the derived category of an abelian category. This is the fourth video in our introduction to ∞-categories and Higher Algebra. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA

From playlist Higher Algebra

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Higher Algebra 3: Colimits

In this video, we discuss colimits and decomposition of those in ∞-categories. This is the third video in our introduction to ∞-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

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Duality In Higher Categories II by Pranav Pandit

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

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Solve Multi-Step Linear Equations Worksheet | 14 Examples

👉In this video I work through 14 different examples of solving multi-step equations so that you don't have to. You can sit back relax and see how it is done. When solving multi step equations are main focus is to simplify our equation and combine like terms so that we can work to a two s

From playlist Solve Linear Equations Worksheets

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Winter School JTP: Perverse sheaves and schobers on Riemann surfaces, Tobias Dyckerhoff

Reporting on joint work in progress with M. Kapranov, V. Schechtman, and Y. Soibelman, I will explain how to describe the derived constructible category of a stratified Riemann surface as representations of the so-called paracyclic category of the surface. This allows for geometric depicti

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"

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Stable Homotopy Seminar, 14: The stable infinity-category of spectra

I give a brief introduction to infinity-categories, including their models as simplicially enriched categories and as quasi-categories, and some categorical constructions that also make sense for infinity-categories. I then describe what it means for an infinity-category to be stable and h

From playlist Stable Homotopy Seminar

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Applying distributive property with a negative one to solve the multi step equation

👉 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

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Stable Homotopy Seminar, 9: Infinite Loop Spaces, and Homotopy Colimits

The fibrant spectra are the Ω-spectra, and we can give an elegant explicit description of the fibrant replacement. The "infinite loop space" functor, which is the derived right adjoint to the suspension spectrum, is then given by taking the 0th space of an equivalent Ω-spectrum. This allow

From playlist Stable Homotopy Seminar

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Recursive Factorial Function

Introduction to recursion.

From playlist Computer Science

Related pages

Monomorphism | Span (category theory) | Post correspondence problem | Graph rewriting | Graph (discrete mathematics) | Pushout (category theory) | Undecidable problem | Adhesive category | Hypergraph | Coproduct | Category (mathematics) | Halting problem