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G. Viennot's Algèbres de Lie libres et monoïdes libres : Bases des PDF

By G. Viennot

ISBN-10: 0387090908

ISBN-13: 9780387090900

ISBN-10: 3540090908

ISBN-13: 9783540090908

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Additional info for Algèbres de Lie libres et monoïdes libres : Bases des algèbres de Lie libres et factorisations des monoïdes libres

Sample text

Stripes and spots do not, but they retain quite a lot of them. Symmetry-breaking is an important process in pattern formation, which at first sight conflicts with a basic principle about symmetries in physical systems stated by the physicist Pierre Curie: Symmetric causes produce equally symmetric effects. This principle, if taken too literally, suggests that Turing’s equations are incapable of generating patterns.  .  .  . It certainly cannot result in an organism such as a horse, which is not spherically symmetrical.

Every man and woman is now a journal “publisher” or a mathematical blogger. I exchange PDF files with a colleague 7,000 miles away. Whereas people such as Copernicus and Newton waited years before they published, today’s scientists, under a variety of pressures, go on line with electronic publishing before their ideas are out of the oven, often unchecked; and they can receive equally rapid and equally halfbaked feedback. Refereeing has diminished. The authority that once attached to the published page has vanished.

Assignments, etc. go on the web page. Students use e-mail to ask questions which I then bring up in class. They find information for their papers out there on the web. We spend one day a week doing pretty serious computing, producing wonderful graphics, setting up the mathematical part of it and dumping the whole mess into documents that can be placed on a web page. I am having more fun than I used to, and the students appear to be having a pretty good time while learning a lot. Can all this be bad?

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Algèbres de Lie libres et monoïdes libres : Bases des algèbres de Lie libres et factorisations des monoïdes libres by G. Viennot


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