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Prikvačeni tweet
I just made my second blog post. This time on "Vapnik-Chervonenkis dimension" -- emphasizing its connections to many different areas of math. Corrections, suggestions, comments are all very welcome.
#VCdimension#modeltheory#combinatorics#probabilityhttps://saugatabasumath.wordpress.com/2020/01/12/vapnik-chervonenkis-density-from-uniform-convergence-to-berkovich-analytification-and-stably-dominated-types/ …Hvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
I am sitting in a cafe totally stuck and wondering if I should go for a walk to get unstuck. But then it is pleasant outside and not raining — so I don’t know how effective the walk would be.
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Here is another excerpt from the same book “Miscellany”. As inspiring today as when I first read these lines — perhaps as a grad student.pic.twitter.com/vw45otB08x
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I was trying to bring some order to my bookshelves when I came across my copy of “Littlewood’s miscellany” and started browsing. I promise I am never going to complain about my teaching load again.pic.twitter.com/XBw7KfxYMW
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Of course, all this would be clearer if we were allowed to talk about dual spaces. But alas, while we can talk about the transpose of a matrix, we cannot interpret it as the matrix of the transpose of the original map.
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But the fact that the "algorithm" for checking infectivity for a linear map given by a matrix is to check that all cols are pivotal, and for surjectivity that all rows are pivotal, seems to convey the same(-ish) idea. 2/2
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I am teaching a mostly "no proofs" linear algebra for engineers. So there is no time to explain that injectivity and surjectivity are dual properties in terms of left/right cancellability or vanishing of kernel/cokernel. 1/2
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Saugata Basu proslijedio/la je Tweet
Looking for (1) a summer intern and (2) a postdoc in my group for Topological Data Analysis on omics data. Email me if interested.
#TDA#Genomics#omics#summerintern#postdocHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Dinner after the third edition of mini-conference on real algebraic geometry at Purdue on occasion of Marie-Francoise’s visit (this has now become an annual tradition). https://www.math.purdue.edu/~sbasu/mini-raag-2020.html …pic.twitter.com/fSoYP5TaMj
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We are organizing a Hot Topics Workshop at ICERM on "Symmetry, Randomness, and Computations in Real Algebraic Geometry", Aug 24 -28, 2020. https://icerm.brown.edu/topical_workshops/tw-20-srag/ … Please consider applying and/or encourage your graduate students to apply. Some funding may be available.
@ICERMHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Before I joined twitter last month JMM was just a big meeting at the most inconvenient time of the year. Now the constant updates is making me rue that I am missing out on a lot of fun and friends -- not to mention math :(
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Saugata Basu proslijedio/la je Tweet
They don't know. They don't believe one can know. They don't believe there's anything to know. That's what makes physics so hard for mathematicians.https://twitter.com/AstronoMisfit/status/1211343794433482752 …
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I resurrected my math blog and made my FIRST real blog post -- on "categorical complexity". Please feel free to comment on content, style and anything else that I should be aware of. http://saugatabasumath.wordpress.com/2019/12/28/categorical-complexity-1/ …
#categorytheory#complexitytheoryHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Saugata Basu proslijedio/la je Tweet
Yoga (plate-asana) and mathematics: "The fundamental group of SO(3) contains an element of order two."
#shecanstem#yoga#fundamentalgrouppic.twitter.com/5IlmaRaU4BHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Spent the last month of a very busy semester understanding the nitty gritties of simplicial homotopy theory (model categories, Kan complexes, "calculus of fractions") for an applied topology project. Now I see that I don't need it. My student will be happy, me not so sure ...
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Saugata Basu proslijedio/la je Tweet
Looking for a summer intern in my group for Topological Data Analysis on omics data. Email me if interested.
#TDA#Genomics#omics#summerinternHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
Just appeared. "Zeroes of polynomials on definable hypersurfaces: pathologies exist, but they are rare"https://academic.oup.com/qjmath/advance-article-abstract/doi/10.1093/qmath/haz022/5540150#.Xfv3gHquK20.twitter …
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Is it allowed to dream that someone, someday will improve this bound to match the corresponding effective result in the algebraically closed case -- namely, the singly exponential upper bound on the complexity of Hilbert's Nullstellensatz (by Kollar, Jelonek and others) ?
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Finally in a "book" form -- the long paper of Henri Lombardi, Daniel Perrucci and Marie-Françoise Roy, on the complexity of the Positivstellensatz. https://bookstore.ams.org/memo-263-1277/?_zs=b8VAN1&_zl=DmiT5 …
#positivstellensatz#sumsofsquares#realalgebraicgeometryPrikaži ovu nitHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
The coffee smells good, the grading is done and its just the right time for browsing a n-part tweet.https://twitter.com/MBarany/status/1206993452317196294 …
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