combinatorics in English
Generating functions have numerous applications in mathematics, especially in combinatorics , probability theory, statistics, the theory of Markov chains, and number theory.
Use "combinatorics" in a sentence
1. Topics include algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, graph theory, ordered sets, random methods, and topological combinatorics.
2. The pigeonhole principle is a important principle in combinatorics.
3. Combinatorics - Combinatorics - Combinatorial geometry: The name Combinatorial geometry, first used by Swiss mathematician Hugo Hadwiger, is not quite accurately descriptive of the nature of the subject
4. Numbers/and algebra, geometry, measuring, statistics/and probability and combinatorics and function.
5. Incidence algebras of locally finite partially ordered sets are associative algebras considered in combinatorics.
6. Tibor Szele (Debrecen, 21 June 1918 – Szeged, 5 April 1955) Hungarian mathematician, working in combinatorics and abstract algebra.
7. The math department is ranked at No. 30 overall and at No. 8 in discrete math and combinatorics.
8. For "transavantgarde" Ryabchenko, peculiar by programmatic emptiness and adjusted aestheticism, frivolous playfulness and mechanistic combinatorics.
9. The concept of Euler characteristic of a bounded finite poset is another generalization, important in combinatorics.
10. By symmetry, .The Binomial coefficient is important in probability theory and combinatorics and is sometimes also denoted
11. In addition to the inclusion of research lines in Number Theory, Group Theory and Combinatorics in 2011.
12. Combinatorics is used frequently in computer science to obtain formulas and estimates in the analysis of algorithms.
13. The elegance of symbolic combinatorics lies in that the set theoretic, or symbolic, relations translate directly into algebraic relations involving the generating functions.
14. Bryna Kra works in ergodic theory and dynamical systems, particularly on problems motivated by combinatorics and number theory.
15. In 2000, Jean Bourgain connected the Kakeya problem to arithmetic combinatorics which involves harmonic analysis and additive number theory.
16. Combinatorial physics can be characterized by the use of algebraic concepts to interpret and solve physical problems involving combinatorics.
17. Tom Sanders is an English mathematician, working on problems in additive combinatorics at the interface of harmonic analysis and analytic number theory.
18. The same objects can be studied using methods from algebraic geometry, module theory, analytic number theory, differential geometry, operator theory, algebraic combinatorics and topology.
19. Combinatorial optimization is an emerging field at the forefront of combinatorics and theoretical computer science that aims to use Combinatorial techniques to solve discrete optimization problems
20. Group theory, one of modern mathematics' oldest branches, has connections with theories of representation and coding, as well as with combinatorics, algebraic geometry, physics and chemistry.
21. Studies extensively analysing the combinatorics (i.e. measurements of structures in an algebraic context) of the so-called spherical systems resulted in a better understanding of their interplay with the geometry of wonderful varieties.
22. Schrijver's 3 volumes on Combinatorial optimization reflect the current state of the art in this field, in particular from the viewpoint of polyhedral combinatorics and efficient algorithms
23. Combinatorial Theory was founded in September 2020, when most of the editorial board for one of the oldest and most prestigious journals in Combinatorics, the Elsevier-owned Journal of Combinatorial Theory, Ser
24. Combinatorics, also called Combinatorial mathematics, the field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system. Included is the closely related area of Combinatorial geometry.
25. In his second year, Gates devised an algorithm for pancake sorting as a solution to one of a series of unsolved problems presented in a combinatorics class by Harry Lewis, one of his professors.
26. Ars Conjectandi (Latin for "The Art of Conjecturing") is a book on combinatorics and mathematical probability written by Jacob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli.
27. His results on Fourier-Mukai transforms solve many problems within algebraic geometry, and have been influential in homological and commutative algebra, orbifold and quantum cohomology, minimal model program, classification of Fano varieties, moduli constructions, representation theory and combinatorics.
28. The other five units are: polyhedral surfaces - geometry and combinatorics; algebraic cycles and values of L-functions; dynamics of soil processes under extreme meteorological conditions; veterinary medicines in soils - basic research for risk analysis; and geobiology of organo- and biofilms - coupling the lithosphere and biosphere via microbial processes.
29. Crag (see the Wikipedia page for the scoring table needed in this problem) is a dice game similar to the more popular games of Yahtzee and Poker dice in style and spirit, but with much simpler combinatorics of roll value calculation due to this game using only three dice
30. Combinatorial mathematics, combinatorics The branch of mathematics devoted to the solution of problems of choosing and arranging the elements of certain (usually finite) sets in accordance with prescribed rules. Each such rule defines a method of constructing some configuration of elements of the given set, called a Combinatorial configuration.
31. I coordinate this open source software (LGPL/GPL) since I launched it with Florent Hivert in 2000. Its mission is to improve the open source mathematical system Sage (previously MuPAD) as an extensible toolbox for computer exploration in algebraic and enumerative combinatorics, and foster code sharing between researchers in this area.