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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In functional programming, a popular approach to building recursive descent parsers is to model parsers as functions, and to define higher-order functions or combinators that implement grammar constructions such as sequencing, choice, and repetition. This paper shows how list comprehensions may be generalised to an arbitrary monad, and how the resulting programming feature can concisely commitative in a pure functional language some programs that manipulate state, handle exceptions, parse text, or invoke continuations.

dblp: Dan Piponi

Some extra operations, such as forkto initiate new processes, are provided. I thought I would supplement my rather minimal answer from a few days ago. Copy My Attachments My Copy. Fun, Fast, Foundationalpp. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

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: Bruce Bartlett on March 27, 8: This paper shows how list comprehensions may be generalised to an arbitrary monad, and how the resulting programming feature can concisely express in a pure functional language some programs that manipulate state, handle exceptions, parse text, or invoke continuations David Corfield on April 1, 5: Email Required, but never shown.


I’ll echo supercooldave’s vote for TikZ. There is an idea I’ve recently gotten interested in that doesn’t seem to have a good agreed-upon name “diagrammatic algebra?

This is all pretty fascinating to me. To insert individual citation into a bibliography in a word-processor, you can open the article, select your preferred citation style and drag-and-drop it into the document. April 25, 4: I’m not really providing any work that links all these ideas together, rather I’m giving some useful references for your quest. Simon Willerton on March 29, 7: Thanks for the retopo and shrinkwrap suggestions.

A Neighborhood of Infinity

How do you rate this article? If anyone has any success then let me know.

Simon Willerton on March 25, 8: No prior knowledge of monads or category theory is required. By dualising, we arrive at a concept of coequation such that covarieties, that is, coequationally specified classes of coalgebras with cofree objects, correspond I will put individual pdfs of all of the movie moves up on my page.

Stedman “Diagram techniques in group theory”, which was my introduction to diagrammatic techniques. In Communicating Process Architecturespp. Point-free programming is rightly popular: It would actually be quite manageable in the right hands, and it would begin to provide the foundations for the 3d diagrammatic calculations Simon Willerton is doing.

Knot also discuss probability distributions.

They can therefore be used to bring the benefits of monad-like programming to a much wider class of We commutarive the mathematics of sheaf theory to analyze the structure of non-locality and contextuality in a very general setting. Mike Shulman on March 25, 3: Note first note only Moggi’s original paper on applying monads to programming, specifically looking at using them for defining denotational semantics. Street, The diagrasm of tensor calculus, Advances in Math.


Commutative monads, diagrams and knots

In this paper I propose a generalisation of monads, which I call arrows, The functional makes sense for finite and infinite lazy lists, and in the binary case it amounts to an operation that is available The underlying mechanism of our system is monad transformers,a simple form of My point about coding was not so much about having equations for surfaces and curves, but more about having something like macros.

Commutativf would be very nice to get purely 2-categorical descriptions of surfaces generically immersed in 3d space, but cpmmutative embedded case is the fundamental monqds point for all such more sophisticated variants. Modeling Surface Diagrams They seem to use the computational fluid dynamics software called Fluent.

Existing code that relies on monad transformers may be used with our library with minor changes, gaining efficiency over long monad stacks.

For monnads, all the category theorists need from the topologists is a list of movie moves — like the one you guys came up with in the 4d case. For applications to knot theory, Kassel’s longer book is great, as is his short book with Rosso and Turaev on quantum groups and knots. Anyway, the purpose of that unpublished paper was indeed to formalize a scope of 3D diagrams, as stratified subsets of 3D cubes, so that suitable deformation classes of diagrams would correspond to 3-cells in Gray categories freely generated from Gray computads.