Enumerative combinatorics

Algebraic enumeration

Algebraic enumeration is a subfield of enumeration that deals with finding exact formulas for the number of combinatorial objects of a given type, rather than estimating this number asymptotically. Methods of finding these formulas include generating functions and the solution of recurrence relations. (Wikipedia).

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Evaluate limits algebraically by using conjugate twice

We will evaluate this limit algebraically by using conjugate twice. For more calculus tutorials, check out my new channel "just calculus": https://www.youtube.com/justcalculus 💪 Support this channel, https://www.patreon.com/blackpenredpen

From playlist Sect2.3, Evaluating Limits Algebraically

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AlgTopReview: An informal introduction to abstract algebra

This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is

From playlist Algebraic Topology

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Isomorphisms in abstract algebra

In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4

From playlist Abstract algebra

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Evaluate limits by factoring the sum of two cubes (step by step)

Evaluate limits, by factoring the sum of two cubes. Check out @just calculus for more calculus tutorials

From playlist Sect2.3, Evaluating Limits Algebraically

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FIT2.3.1. Algebraic Numbers

Field Theory: We consider the property of algebraic in terms of finite degree, and we define algebraic numbers as those complex numbers that are algebraic over the rationals. Then we give an overview of algebraic numbers with examples.

From playlist Abstract Algebra

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Abstract Algebra | Injective Functions

We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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Classification of Real Numbers, Inequalities, and Number Line

I define and discuss Real Numbers their subsets of Rational Numbers, Integers, Whole Numbers, Natural Numbers, and finally Irrational Numbers. I finish with Inequalities and the Number line at 23:53 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to

From playlist Algebra 1

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Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

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Cantor's Infinity Paradox | Set Theory

Sign up to brilliant.org to receive a 20% discount with this link! https://brilliant.org/upandatom/ Cantor sets and the nature of infinity in set theory. Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every two weeks! *SUBSCRIBE TO UP AND ATO

From playlist Math

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Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Mathilde Bouvel : Studying permutation classes using the substitution decomposition

Recording during the thematic meeting : "Pre-School on Combinatorics and Interactions" the January 09, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Combinatorics

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Ruud Pellikaan: The coset leader weight enumerator of the code of the twisted cubic

In general the computation of the weight enumerator of a code is hard and even harder so for the coset leader weight enumerator. Generalized Reed Solomon codes are MDS, so their weight enumerators are known and its formulas depend only on the length and the dimension of the code. The coset

From playlist Combinatorics

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Integrable combinatorics – Philippe Di Francesco – ICM2018

Mathematical Physics Invited Lecture 11.15 Integrable combinatorics Philippe Di Francesco Abstract: We explore various combinatorial problems mostly borrowed from physics, that share the property of being continuously or discretely integrable, a feature that guarantees the existence of c

From playlist Mathematical Physics

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Wojciech Chachólski (4/29/20): TDA invariants and model categories

Title: TDA invariants and model categories Abstract: Data analysis is a balancing act of simplification and ignoring most of the information available on the one hand, and retaining what might be meaningful for the particular task on the other. The same balancing act of extracting simplif

From playlist AATRN 2020

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Representation Theory(Repn Th) 5 by Gerhard Hiss

DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra

From playlist Group Theory and Computational Methods

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Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

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Ciro Ciliberto, Enumeration in geometry - 15 Novembre 2017

https://www.sns.it/eventi/enumeration-geometry Colloqui della Classe di Scienze Ciro Ciliberto, Università di Roma “Tor Vergata” Enumeration in geometry Abstract: Enumeration of geometric objects verifying some specific properties is an old and venerable subject. In this talk I will

From playlist Colloqui della Classe di Scienze

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[BOURBAKI 2017] 14/01/2017 - 3/4 - Maxim KONTSEVICH

Derived Grothendieck-Teichmüller group and graph complexes, after T. Willwacher Graph complex is spanned by equivalence classes of finite connected graphs with the dual differential given by the sum of all contractions of edges, with appropriate signs. This complex forms a differential g

From playlist BOURBAKI - 2017

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Petr Zograf - Enumeration of Grothendieck's dessins and KP hierarchy

Branched covers of the complex projective line ramified over 0,1 and infinity (Grothendieck's dessins d'enfant) of fixed genus and degree are effectively enumerated. More precisely, branched covers of a given ramification profile over infinity and given numbers of preimages

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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Limits Algebraically

Guided solutions for two different types of limit problems solved algebraically. Ex 1 uses conjugates of radical functions. Ex 2 finds common denominators and combines two rational expressions.

From playlist Calculus

Related pages

Recurrence relation | Combinatorics | Enumeration | Generating function | Asymptotic analysis