MISANU

PROGRAM

ODELJENJE ZA MATEMATIKU
MATEMATIČKOG INSTITUTA SANU

PROGRAM ZA FEBRUAR 2018.

PETAK, 23.02.2018. u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Jozef Kratica, Matematički institut SANU
JAKA METRIČKA DIMENZIJA GRAFOVA
U prvom delu predavanja će biti prikazana definicija jake metričke dimenzije (strong metric dimension) grafova, njen značaj, kao i pregled literature. Drugi deo će biti posvećen kratkom prikazu načina rešavanja datog problema. S obzirom da je problem NP-težak, osim formulacije celobrojnog linearnog programiranja, razvijene su i tri metaheuristike za njegovo rešavanje: genetski algoritam, metoda promenljivih okolina i metaheuristika zasnovana na elektromagnetizmu. U trećem delu predavanja biće predstavljeni teorijski rezultati na nekim interesantnim klasama grafova.

UTORAK, 27.02.2018. U 16:15, Matematicki institut SANU, sala 301f
Keith Devlin, Stanford University
WHEN THE PRECISION OF MATHEMATICS MEETS THE MESSINESS OF THE WORLD OF PEOPLE
Almost all mathematicians are attracted to the subject by its certainty and precision. It’s one of the most finely sharpened blades in the human cognitive armory, and it rules supreme in many parts of Physics and Engineering. It is almost as precise when applied to the activities of large groups of people, though the precision then is a statistical one that applies to the group as a whole. But can math be useful when applied to human activities on a more local scale? The answer is “yes”, but the contribution mathematics can make shifts from “providing precise answers to specific questions” to “providing data that helps a domain expert make a decision”. These newer uses of mathematics can be traced back at least as far as the early days of probability theory (concepts such as “utility”), but became prevalent much more recently when computers enabled rapid computations of large datasets. Applications in the financial markets (for example, the Black-Scholes model for pricing derivatives), manufacture, retail sales, transportation, and workplace design are ubiquitous. I’ll give two examples I have worked in: developing a framework to understand information flow and using that framework to analyze communication breakdown in the workplace—work that eventually found application in intelligence analysis.

Odeljenje za matematiku je opsti matematicki seminar namenjen sirokoj publici. Predavanja su prilagodjena matematicarima i onima koji zele da to postanu.

Zoran Petric, Odeljenje za matematiku Matematickog instituta SANU