In category theory, the notion of final functor (resp. initial functor) is a generalization of the notion of final object (resp. initial object) in a category. A functor is called final if, for any set-valued functor , the colimit of G is the same as the colimit of . Note that an object d ∈ Ob(D) is a final object in the usual sense if and only if the functor is a final functor as defined here. The notion of initial functor is defined as above, replacing final by initial and colimit by limit. (Wikipedia).
How to simplify a basic rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Summary Simplifying rational expressions
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplifying a rational expression by factoring
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplify a rational expression by factoring
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Factoring out the GCF to simplify the rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplifying a rational expression by factoring two trinomials
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
This lecture is part of an online course on categories. Any object of a category can be thought of as a representable functor in the category of presheaves. We give several examples of representable functors. Then we state Yoneda's lemma, which roughly that morphisms of objects are he sa
From playlist Categories for the idle mathematician
LambdaConf 2015 - Give me Freedom or Forgeddaboutit Joseph Abrahamson
The Haskell community is often abuzz about free monads and if you stick around for long enough you'll also see notions of free monoids, free functors, yoneda/coyoneda, free seminearrings, etc. Clearly "freedom" is a larger concept than just Free f a ~ f (Free f) + a. This talk explores bri
From playlist LambdaConf 2015
Serge Bouc: Correspondence functors
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
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
LambdaConf 2015 - Finally Tagless DSLs and MTL Joseph Abrahamson
Finally Tagless DSLs are a DSL embedding technique pioneered by Oleg Kiselyov, Jaques Carrette, and Chung-Chieh Shan that is in some sense "dual" to the notions of free-monad interpreters. MTL is a very popular monad library in Haskell which just so happens to be, unbeknownst to most, a Fi
From playlist LambdaConf 2015
Feynman categories, universal operations and master equations - Ralph Kaufmann
Ralph Kaufmann Purdue University; Member, School of Mathematics December 6, 2013 Feynman categories are a new universal categorical framework for generalizing operads, modular operads and twisted modular operads. The latter two appear prominently in Gromov-Witten theory and in string field
From playlist Mathematics
A (proper) introduction to derived CATegories
While there are introductions to derived categories that are more sensible for practical aspects, in this video I give the audience of taste of what's involved in the proper, formal definition of derived categories. Special thanks to Geoff Vooys, whose notes (below) inspired this video: ht
From playlist Miscellaneous Questions
Lecture 6: HKR and the cotangent complex
In this video, we discuss the cotangent complex and give a proof of the HKR theorem (in its affine version) Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-m
From playlist Topological Cyclic Homology
Catherine Meusburger: Turaev-Viro State sum models with defects
Talk by Catherine Meusburger in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 17, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Higher Algebra 9: Symmetric monoidal infinity categories
In this video, we introduce the notion of a symmetric monoidal infinity categories and give some examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-mu
From playlist Higher Algebra
Simplify a rational expression by factoring trinomials
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions