Showing posts with label probleme nerezolvate. Show all posts
Showing posts with label probleme nerezolvate. Show all posts

Monday, November 8, 2010

MIT News - P vs. NP


MIT - Massachusetts Institute of Technology: http://web.mit.edu

"The mission of MIT is to advance knowledge and educate students in science, technology, and other areas of scholarship that will best serve the nation and the world in the 21st century". http://www.facebook.com/MITnews

1. P vs. NP - http://web.mit.edu/newsoffice/2010/3q-pnp.html

2. A new target for cancer drugs - http://web.mit.edu/newsoffice/2010/cancer-drugs-dna.html

3. Neurons work like a chain of dominos to control action sequences - http://web.mit.edu/press/2010/fee-neuron.html
- The song of the zebra finch lasts about 1 second, and consists of multiple syllables whose timing is almost precisely the same from one performance to the next.
Video: Dan Rubin/MIT

4. Computational Physiology and Clinical Inference Group - http://www.rle.mit.edu/cpci/
- Professor George C. Verghese discusses research and education in his group that develops and applies computational models of human physiology for clinical monitoring and inference.




Wednesday, April 21, 2010

T. Popoviciu, Problem 5897, Gaz. Mat. 49 (1943)

... and Greetings from Louisiana!
Dr. Rick Mabry, Department of Mathematics Louisiana State University in Shreveport (USA)

1. The problem is cited on pp 132-133 of "Geometric Inequalities" by O. Bottema, et al, Wolters-Noordhoff Publishing, Groningen 1969.
http://www.lsus.edu/rick-mabry
2. http://www.gazetamatematica.net/?q=node/2135#comment-295
3. Rick Mabry's Knot - http://www.lsus.edu/rick-mabry
4. Rick Mabry, Flapping Polyhedra (using Mathematica and converted to the animation with LiveGraphics3D, by M.Kraus)- http://www.lsus.edu/sc/math/rmabry/live3d/flappers.html

Note
- Gazeta Matematica, SSMR: http://www.gazetamatematica.net
- The Mathematical Association of America: http://www.maa.org/
- The American Mathematical Society (AMS): http://www.ams.org/home/page
- MathSciNet : http://www.ams.org/mathscinet/
- Gazette of the Australian Mathematical Society: http://www.austms.org.au/Gazette

Tuesday, March 23, 2010

Solving the Poincare Conjecture: Dr. Grigoriy Perelman


Detalii ... aici (.pdf) pentru cei ce doresc sa inteleaga ceva | www.recreatiimatematice.ro

La Congresul International al Matematicienilor de la Madrid, august 2006, lui G. Perelman i s-a oferit medalia Fields (un premiu analog premiului Nobel, care nu exista pentru domeniul matematicilor).

Conjectura lui Poincaré: Daca o varietate M3, neteda, compacta, de dimensiune 3, are proprietatea ca orice curba simpla închisa situata în aceasta varietate poate fi deformata continuu la un punct, rezulta ca M3 este homeomorfa cu o sfera.

O explicatie: "Intuitiv, putem sa ne imaginam procesul realizat cu un lasou lansat de un paznic de vite. Când acest lasou nu prinde gâtul niciunei vite, el se strânge înapoi în mâna paznicului. Când lasoul prinde o vita (sau un ciot de copac), a întâlnit o singularitate (o gaura)¸ si paznicul este nevoit sa deschid˘a lasoul (adica sa renunte la continuitate) ca sa-l poata desprinde.
" (prof. dr. V. Oproiu, Universitatea "Al.I. Cuza" Iasi)

March 18, 2010 ••• Short Press Release
The Clay Mathematics Institute (CMI) announces today that Dr. Grigoriy Perelman of St. Petersburg, Russia, is the recipient of the Millennium Prize for resolution of the Poincaré conjecture.

First Clay Mathematics Institute Millennium Prize Announced Today
Prize For Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman
- The Clay Mathematics Institute (CMI) - http://www.claymath.org/poincare/index.html

- THE POINCAR´E CONJECTURE (by JOHN MILNOR), (.pdf) | http://www.claymath.org/
- D. Gabai, Valentin Poenaru’s program for the Poincar´e conjecture, in Geometry, topology, & physics, Conf. Proc. Lecture Notes Geom. Topology, VI, Internat. Press, Cambridge, MA, 1995, 139–166.
"Premii deosebit de prestigioase au primit George Lusztig in anul1985 (Premiul Cole al Societatii Americane de Matematica) si Valentin Poenaru (un premiu decernat de Academia Franceza). Ciprian Foias este "Distinguished Professor" la Indiana University. Tudor Ratiu, Sergiu Klainerman, Adrian Ocneanu au beneficiat de prestigioase granturi de cercetare pentru desfasurarea activitatii lor stiintifice. Un foarte mare numar de matematicieni din diaspora romaneasca au obtinut de-a lungul anilor granturi de cercetare de la organismele federale sau statale din Statele Unite, Canada sau din alte tari. " - http://www.itim-cj.ro/~jalobean/Opinii/Corduneanu.txt

NOTA: Maths genius Grigori Perelman refuses $1m prize for solving Poincare Conjecture | http://www.dailymail.co.uk

Saturday, March 13, 2010

Diane Ravitch - The Death and Life of the Great American School System


Diane Ravitch is the author of The Death and Life of the Great American School System: How Testing and Choice Are Undermining Education. (2010)

- An Interview with Diane Ravitch: Reforms and Reforms Everywhere; And No Improvement Forthcoming: http://www.educationnews.org/

"Our nation needs more professionalism, not less. It needs school superintendents who have some educational experience, not businessmen, lawyers, generals, and admirals. It needs principals who have been master teachers, because they are supposed to evaluate teachers; instead, we are getting more and more principals with little teaching experience and a one-year residency in a "leadership" program. Such principals rely too much on data rather than judgment because of their own inexperience. We need experienced teachers, not newcomers who intend to stay only two or three years." Diane Ravitch

"In sum, my book says we are on the wrong track and that the language of "school reform" has been used by politicians, business leaders, foundation executives, and other non-educators to promote well-intentioned but misguided policies that will harm our schools and a generation of our youth" Diane Ravitch

"În concluzie, cartea mea spune că suntem pe drumul cel greşit şi că "reforma şcolii" a fost folosita de către politicieni, lideri de afaceri, directori de fundaţie, şi alti educatori pentru a promova politici bine intenţionate, dar s-a greşit, şi că aceste politici vor afecta şcolile noastre şi generaţia noastră de tineri"

- The Education Reform Blog - The Death of Science: http://higher-ed-reform.blogspot.com/ by Nikhil Jain

"In a country that boasts the world’s best universities and best scientists, why is it that so many can not describe what the scientific process is?" Nikhil Jain (http://www.linkedin.com/in/nikhiljain09)

Fara comentarii: "Adevărul nu rezultă din deducerile logice decât numai în matematică." Mihai Eminescu

Sunday, August 23, 2009

Institutul pentru învăţare şi memorie de la MIT (SUA)

Institutul pentru învăţare şi memorie de la MIT (SUA)
- http://web.mit.edu/picower/
NOUTATI SI CERCETARI STIINTIFICE

1. 1011 = The number of neurons in the Human Brain = The number of stars in the Galaxy (http://web.mit.edu/picower/)
2. capacitatea crierului uman de a regenera mase de neuroni in fiecare an (Professor Carlos Lois; http://web.mit.edu/picower/spotlight/lois.html);
3. capacitatea de memorare depinde de anumite lucruri (Professor Tonegawa; http://web.mit.edu/picower/spotlight/tonegawa.html)