Botanique Algorithmique : Accueil
Trace theory
From Wikipedia, the free encyclopedia Theory of trace monoids In mathematics and computer science, trace theory aims to provide a concrete mathematical underpinning for the study of concurrent computation and process calculi. The underpinning is provided by an algebraic definition of the free partially commutative monoid or trace monoid, or equivalently, the history monoid, which provides a concrete algebraic foundation, analogous to the way that the free monoid provides the underpinning for formal languages. The power of trace theory stems from the fact that the algebra of dependency graphs (such as Petri nets) is isomorphic to that of trace monoids, and thus, one can apply both algebraic formal language tools, as well as tools from graph theory.
L-Systems Explorer
Download here (94K) - Note: you will need MFC42.DLL to run this. LSE, or L-Systems Explorer, is a program that allows you to design or view Lindenmeyer Systems (L-Systems). L-Systems are simple string-based commands (much like Turtle graphics) that allow various shapes to be drawn. LSE has the following improvements: Allows for up to 26 different rules Loading and saving of rules Zooming, panning and depth adjustment. Note this is the same L-System, with the depths set at 0-4 from left to right. L-System Commands L-Systems Explorer allows you to assign up to 26 recursive rules. Using LSE LSE is simple to use, try loading in some of the preset systems (*.lse) and then messing about with the parameters. Once the system has been drawn you can pan the system about by dragging with your mouse. Version 1.1 A few bugs fixed, and gradient support added. Article content copyright © James Matthews, 2002.
Songs of Innocence and of Experience
Songs of Innocence and of Experience is an illustrated collection of poems by William Blake. It appeared in two phases. A few first copies were printed and illuminated by William Blake himself in 1789; five years later he bound these poems with a set of new poems in a volume titled Songs of Innocence and of Experience Showing the Two Contrary States of the Human Soul. "Innocence" and "Experience" are definitions of consciousness that rethink Milton's existential-mythic states of "Paradise" and the "Fall." Songs of Innocence[edit] Songs of Innocence was originally a complete work first printed in 1789. The poems are each listed below: The Echoing Green The Lamb The Little Black Boy The Blossom The Chimney Sweeper The Little Boy found Laughing Song The Divine Image Nurse's Song Infant Joy On Another's Sorrow Songs of Experience[edit] Blake's title plate (No.29) for Songs of Experience Earth's Answer The Clod and the Pebble The Little Girl Lost The Little Girl Found The Sick Rose The Tyger My Pretty Rose Tree
La beauté des L-Systèmes - Ekino FR
You can also read this article in english. De quoi s’agit-il ? Un système de Lindenmayer (communément appelé L-système) est un modèle algorithmique récursif inspiré par la biologie et inventé en 1968 par le biologiste hongrois Aristid Lindenmayer. Il vise à fournir un moyen de modéliser la croissance de plantes et bactéries. Le concept fondamental des L-Systèmes est la réécriture, un procédé efficace permettant de générer des objets complexes en remplaçant simplement tout ou partie d’un objet initial. Nous pouvons envisager cela comme une cellule qui se divise à chaque itération afin de générer un organisme plus abouti. Si vous êtes curieux, wikipedia en fourni une description plus détaillée. Très bien, mais en quoi cela peut-il vous intéresser et, plus important encore, que peut-on en faire ? Il existe une multitude de cas d’usages, certains se sont même amusés à générer de la musique à partir de ceux-là, mais nous allons nous concentrer sur des applications visuelles. Qui va produire :
Rewriting
Replacing subterm in a formula with another term In mathematics, computer science, and logic, rewriting covers a wide range of methods of replacing subterms of a formula with other terms. Such methods may be achieved by rewriting systems (also known as rewrite systems, rewrite engines,[1][2] or reduction systems). Rewriting can be non-deterministic. Example cases[edit] Logic[edit] In logic, the procedure for obtaining the conjunctive normal form (CNF) of a formula can be implemented as a rewriting system.[6] The rules of an example of such a system would be: (double negation elimination) (De Morgan's laws) (distributivity) [note 1] where the symbol ( ) indicates that an expression matching the left hand side of the rule can be rewritten to one formed by the right hand side, and the symbols each denote a subexpression. Arithmetic[edit] For example, the computation of 2+2 to result in 4 can be duplicated by term rewriting as follows: where the rule numbers are given above the rewrites-to arrow. . .
Newsroom - Software allows interactive tabletop displays on Web
Researchers have developed a new type of software that enables people to use large visual displays and touch screens interactively over the Internet for business and homeland security applications. Here, users at Purdue and the University of Manitoba in Canada interact as if they were in the same room using the same display. (School of Electrical and Computer Engineering, Purdue University) Download image WEST LAFAYETTE, Ind. - Researchers have developed a new type of software that enables people to use large visual displays and touch screens interactively over the Internet for business and homeland security applications. Tabletop touch-operated displays are becoming popular with professionals in various fields, said Niklas Elmqvist, an assistant professor of electrical and computer engineering at Purdue University. "These displays are like large iPhones, and because they are large they invite collaboration," he said. Writer: Emil Venere, 765-494-4709, venere@purdue.edu
Yggdrasill
Da Wikipedia, l'enciclopedia libera. Yggdrasill in un manoscritto islandese del XVII secolo. Yggdrasill [ˈygˌdrasilː], nella mitologia norrena, è l'albero cosmico, l'albero del mondo. Natura, struttura, funzione[modifica | modifica sorgente] Secondo Völuspá è un frassino (norreno askr); secondo Rodolfo di Fulda, monaco benedettino del IX secolo, che lo denomina come Irminsul[1] è invece un tasso o una quercia, (alberi comunque sacri presso i popoli del Nord Europa); il suo nome significa con ogni probabilità "cavallo di Yggr", dove "cavallo" è metafora per "forca", "patibolo", mentre Yggr è uno dei tanti nomi di Óðinn. Immenso, Yggdrasill sprofonda sin nel regno infero, mentre i suoi rami sostengono l'intera volta celeste. L'albero Yggdrasill è il luogo dell'assemblea (Thing) quotidiana degli Dèi che vi giungono cavalcando il ponte di Bifröst (l'Arcobaleno), vigilato dal dio Heimdallr. Altro nome dell'albero cosmico è Mímameiðr ("albero di Mími"). Note[modifica | modifica sorgente] Irminsul
