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I've got myself a new small netbook.

So it looks like no internet holiday for me during my upcoming trip to Las Cruces, New Mexico in a week or so:

http://subsessile.nmsu.edu/blast/
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[livejournal.com profile] ivanov_petrov в последнее время публикует много интересных фотографий (ну и между делом всякие небасни тоже, и желательность университетского мифа для России проповедует):

http://ivanov-petrov.livejournal.com/1223250.html

Read more... )
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Prague, Brno, attending SumTopo 2009:

http://www.umat.feec.vutbr.cz/~kovar/webs/sumtopo/
http://atlas-conferences.com/cgi-bin/abstract/caxs-01

Limited internet connectivity during this period, but I'll try to check the comments to this post.
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There were suggestions in the blogs that what happened in Iran was more than just stolen elections, that it was actually a coup d'état. We might have a confirmation, from Amir Taheri writing in the Wall Street Journal:

A detailed study of Mr. Khamenei's text reveals a number of anomalies. It is longer than his usual statements and full of expressions that he has never used before.Read more... )
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For real, this time?

http://www.boston.com/news/local/massachusetts/articles/2009/03/03/mgh_to_use_genetics_to_personalize_cancer_care/?page=full

March 3, 2009

"Cancer doctors at Massachusetts General Hospital plan within a year to read the genetic fingerprints of nearly all new patients' tumors, a novel strategy designed to customize treatment. Read more... )"
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Limited internet connectivity during this period, but I'll try to check the comments to this post.

Pinewoods of Castel Fusano, Ostia )
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Mentions of snakes, metaphors based on snakes, photos of snakes. It might be just the priming (basically, that my brain pays much closer attention to snake-related things now). Or, perhaps, my reality really contains more snakes, than before.

For example, I visited [livejournal.com profile] day_on_earth after a long break, and here are recent snake photos:

April 17
April 19

I don't remember that community having many snake photos before..
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"Заглушая шепот вдохновенных суеверий, здравый смысл говорит нам, что жизнь - только щель слабого света между двумя идеально черными вечностями. Разницы в их черноте нет никакой, но в бездну преджизненную нам свойственно вглядываться с меньшим смятением, чем в ту, в которой летим со скоростью четырех тысяч пятисот ударов сердца в час. Я знавал, впрочем, чувствительного юношу, страдавшего хронофобией и в отношении к безграничному прошлому."

http://nabokov.niv.ru/nabokov/proza/drugie-berega/drugie-berega-1.htm
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Limited internet connectivity during this period, but I'll try to check the comments to this post.

"Свежее щелканье амариллисов, записанное на цифровой диктофон Samsung и воспроизведенное в обратном порядке с утроенной скоростью, способно придать мягкий вкус вашему отвару из корней суслика." (Карманный оракул, [livejournal.com profile] ikadell)
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http://www.locusmag.com/Features/2009/01/cory-doctorow-writing-in-age-of.html

"Don't research
Researching isn't writing and vice-versa. When you come to a factual matter that you could google in a matter of seconds, don't."
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Stocks seem to be currently priced about right, historically speaking, in terms of P/E ratio:

http://captaincapitalism.blogspot.com/2008/10/stock-market-is-about-where-it-should.html

The question is however, whether they'll go well below red line, like they did after other periods of being overpriced..

Tags

Jul. 4th, 2008 12:55 pm
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This journal has tags now, thanks to [livejournal.com profile] _rowan_tree_:

http://anhinga-drafts.livejournal.com/tag/

I should probably tag [livejournal.com profile] anhinga_anhinga as well..

Update: I've tagged about a third of anhinga_anhinga, but the set of its tags is much more eclectic.

Still, it's already useful, for example, here is the Photo Stream.
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I am continuing the last three postings in this blog, and jumping to Section 5.3 of Vickers' text.

One can take a category and interpret it as a predicate theory. All objects A are interpreted as sorts, XA, and all arrows f : AB are interpreted as functional symbols, uf : XAXB.

Then for every object A one imposes an axiom (∀x:XA) uidA (x) = x.

And for every pair of morphisms f : AB, g : BC one considers the morphism h = g o f and imposes an axiom (∀x:XA) ug (uf (x)) = uh (x).

One often imposes additional axioms as well. Of course, this is a lot of sorts, functional symbols, and axioms. If one at least wants them to form sets rather than proper classes, one has to start with a small category.

Also we can't assume that objects are sets which have elements, so what would (∀x:XA) even mean? One can think about this purely formally (until one starts to consider models of the theories), or one can recall from a first post in this series than a generalized point of A is simply a morphism x to A, then f (x) should be thought of as f o x, and one can think about quantifiers ranging over these generalized points.
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Let's look at the bijection mentioned in the previous post more closely. A model is "a map from the syntactic theory to a semantic space". In particular, given a Lindenbaum algebra L(T) we can build a "generic model" of T called MT in L(T) (by mapping the propositional variables to their classes of equivalences in L(T) ).

Now, for a homomorphism f : L(T)A, the corresponding model of the theory T in A is a map f o MT (mapping the propositional variables to the elements of A).

Now, if we look at the post of June 9, we'll see a duality between generalized points and models. "Generic point" and "generic model" correspond to each other, and global points 1X correspond to standard models in the 2-valued Boolean algebra 2 = {false, true}, that is to the homomorphisms L(T)2.

One of the main ideas in the Vickers' text is that one can think about all kinds of spaces as spaces of models (one takes a space and starts thinking about its points as models of a logical theory of an appropriate type, usually more complex than classical propositional logic), and that in a large variety of logical situations one can take all models and form a space from them.
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