Commutative Monads, Diagrams and Knots. Dan Piponi. Industrial Light & Magic, San Francisco [email protected] Abstract. There is certain diverse class of. Commutative monads diagrams and. knots pdf. Commutative monads diagrams and Commutative monads diagrams and knots pdf knots pdf. DOWNLOAD!. Commutative monads diagrams and knots pdf. none ab55cfc. PenIMC. or, if you have already installed an earlier copy from the product CD.

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Thus, in the presence of two KingPhilip Wadler posted to monads by montelatici on Proceedings of the Marktoberdorf International Summer School When I played with associativity, things got a little funny — surfaces tended to have waves in them when objects were re-associated.

Such parsers form an instance of a monadan algebraic structure from mathematics that has proved useful for addressing a number of computational problems. I think that Joyal and Street are the correct names for proving that planar diagrams exactly capture monoidal category theory.

Here are two of my efforts. John Baez on April 1, 4: There will be minor issues with non-orientable surfaces commutatice are mapped into 3-space.

Just add one minor an comment. Mathematical Structures in Computer ScienceVol. Part III of Kassel’s “Quantum Groups” is an almost completely self-contained introduction to monoidal categories and knot theory.

I’m not really providing any work that links all these ideas together, rather I’m giving diagraks useful references for your quest. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge commutatve you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.


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Modeling Surface Diagrams I think this is the nicest version of this diagram. People still use mice?

Commutative monads, diagrams and knots

But there is some mighty tricky stuff that has to be dealt with in the Morse theory. In Advanced Functional Programming, Vol. Do surface diagram pictures actually have a generally defined formal meaning, or do we just take it on faith that every reader could translate any particular one we write down into a pasting diagram as necessary?

Kauffman’s book Knots and Physics also has some nice parts. I’m not sure whether this write-up adds anything on top of the existing resources, but Jim Blinn, a graphics researcher at Microsoft Research has written up some course notes on tensor diagrams: Andrew Stacey on April 10, 9: Scott Carter on April 1, 1: Include unauthenticated results too may include “spam” Enter a search phrase.

Or the shrinkwrap modifier. Abstract Monads have become very popular for structuring functional programs since Wadler introduced their use in Further, idioms embed into arrows and arrows embed into monads.

In our paper, we describe a materiality-centered data analysis approach that puts the user and the artifact equally in the center of attention. The first section is an extended example of the use of monads.

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Surfaces diaggrams branch circles are trickier to handle. However in their work as well as others’, the categorical nature of the first operator was not pursued and its formulation remained rather ad hoc. This law can be invoked to show that, in a suitable sense, unlabelling is the inverse of labelling. I’m not sure whether this write-up adds anything on top of the existing resources, but Jim Blinn, a graphics researcher at Microsoft Research has written up some course notes on tensor diagrams:.


The first represents the associator natural transformation in a monoidal category see the Hopf monads paper linked above for the details.

A Neighborhood of Infinity

Is there anyone else who might have kept a copy of it? Abstract The theory of commutative monads on cartesian closed categories provides a framework where aspects of the theory of distributions and other extensive quantities can be formulated and some results proved.

I hope to complete this next week. Locality and non-contextuality are intuitively appealing features of classical physics, which are contradicted by quantum mechanics. Porst posted to algebras coalgebraicity coalgebras coequational coequationality coequations comonadicity comonads covarieties monadicity monads varieties by Scis on Smoothly embedded surfaces in 3-space can get funny. But be forewarned, the file of andd book is enormous!

Commutative monads, diagrams and knots – Semantic Scholar

Related Products We have identified the following relevant lab reagents. Mike Shulman on March 26, Is there anything in Trimble-McIntyre on this type of question?

I love the swallowtail cobordism so these things matter to me.

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