Abelian group theory | Set theory | Functions and mappings | Category theory | Hopf algebras
In mathematics, a corestriction of a function is a notion analogous to the notion of a restriction of a function. The duality prefix co- here denotes that while the restriction changes the domain to a subset, the corestriction changes the codomain to a subset. However, the notions are not categorically dual. Given any subset we can consider the corresponding inclusion of sets as a function. Then for any function , the restriction of a function onto can be defined as the composition . Analogously, for an inclusion the corestriction of onto is the uniquefunction such that there is a decomposition . The corestriction exists if and only if contains the image of . In particular, the corestriction onto the image always exists and it is sometimes simply called the corestriction of . More generally, one can consider corestriction of a morphism in general categories with images. The term is well known in category theory, while rarely used in print. Andreotti introduces the above notion under the name coastriction, while the name corestriction reserves to the notion categorically dual to the notion of a restriction. Namely, if is a surjection of sets (that is a quotient map) then Andreotti considers the composition , which surely always exists. (Wikipedia).
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From playlist Chemistry
Synesthesia - Music Composition
My website: http://oliverlugg.com/ This piece began with the funky piano riff you can hear in the chorus, and grew from there. For those of you who may not know, Synesthesia is the condition of linking ideas within two methods of sensing, such as specific colours being attributed to music
From playlist Music Compositions
WebAssembly: The What, Why and How
WebAssembly is a portable, size, and load-time efficient binary format for the web. It is an emerging standard being developed in the WebAssembly community group, and supported by multiple browser vendors. This talk details what WebAssembly is, the problems it is trying to solve, exciting
From playlist Talks
Metacognition and speaking | Introduction | Part 1
In this video, I provide an overview of metacognition and discuss its role in speaking.
From playlist Metacognition
You’ve heard of fracking, and you’re pretty sure lots of people don’t like it, but do you know how it actually works? Learn more at HowStuffWorks.com: http://science.howstuffworks.com/environmental/energy/hydraulic-fracking.htm Share on Facebook: http://goo.gl/M5kx1i Share on Twitter: ht
From playlist Visually-Striking Episodes From the 2010s
http://www.nucleushealth.com/ - This 3D medical animation shows the anatomy and physiology of skin and demonstrates an excisional biopsy a surgical techniques commonly used to obtain a sample tissue of suspected skin disorder. A skin biopsy is used to view under a microscope and make a dia
From playlist Healthcare Patient Education Animations
Gravity Filtration and Vacuum Filtration
The first laboratory technique that we will learn together is a very simple one, filtration. This is how we separate a mixture of liquids and solids. There are two common ways a chemist will perform filtration, those being gravity filtration and vacuum filtration. These are very easy to un
From playlist Chemistry Laboratory Techniques
Separating Components of a Mixture by Extraction
When we perform a chemical reaction, we are usually trying to get a particular molecule. But when we are done with the reaction, there will probably be a bunch of different stuff in the reaction flask. How do we get just the thing we want and not the other stuff? It's actually pretty invol
From playlist Organic Chemistry
Ionization Energy - Periodic Trends
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From playlist Chemistry
More videos like this online at http://www.theurbanpenguin.com if you are looking to make a start with PowerShell this may help you on your way using PowerShell with Citrix XenApp. We look at how you can list command by the module and the associated verb or noun
From playlist Citrix