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1. Combinatorics: Combinatorics is a field of mathematics devoted to the study of counting elements in a set, and mathematical relations that describe their properties. This field is "discrete", meaning it deals with non-continuous properties. [100%] 2023-03-23 [Probability and Statistics] [Mathematics]...
2. Combinatorics: Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ... (Branch of discrete mathematics) [100%] 2023-12-16 [Combinatorics]
3. Combinatorics: "There is no problem in all mathematics that cannot be solved by direct counting."-Ernst Mach Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. It is related to many other areas of ... [100%] 2023-12-16 [Combinatorics]
4. Combinatorics: Combinatorics is a branch of mathematics that concerns itself, at the elementary level, with counting things. For example, suppose that you have four dresses, but that you only have room for two in your suitcase, in how many ways can ... [100%] 2023-09-29
5. Combinatoria: La combinatoria es una rama de la matemática perteneciente al área de matemáticas discretas que estudia la enumeración, construcción y existencia de propiedades de configuraciones que satisfacen ciertas condiciones establecidas. Además, estudia las ordenaciones o agrupaciones de un determinado número ... [83%] 2023-12-16
6. Analytic Combinatorics: Analytic Combinatorics is a book on the mathematics of combinatorial enumeration, using generating functions and complex analysis to understand the growth rates of the numbers of combinatorial objects. It was written by Philippe Flajolet and Robert Sedgewick, and published by ... [70%] 2023-12-20 [Enumerative combinatorics] [Mathematics books]...
7. Topological combinatorics: The mathematical discipline of topological combinatorics is the application of topological and algebro-topological methods to solving problems in combinatorics. The discipline of combinatorial topology used combinatorial concepts in topology and in the early 20th century this turned into the ... [70%] 2023-12-16 [Combinatorics] [Topology]...
8. Enumerative combinatorics: Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed. Two examples of this type of problem are counting combinations and counting permutations. (Area of combinatorics that deals with the number of ways certain patterns can be formed) [70%] 2023-12-16 [Enumerative combinatorics]
9. Additive combinatorics: Additive combinatorics is an area of combinatorics in mathematics. One major area of study in additive combinatorics are inverse problems: given the size of the sumset A + B is small, what can we say about the structures of \displaystyle{ A ... (Area of combinatorics in mathematics) [70%] 2023-12-19 [Additive combinatorics] [Mathematical theorems]...
10. Polyhedral combinatorics: Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes. Research in polyhedral combinatorics falls into two distinct areas. [70%] 2023-12-18 [Polyhedral combinatorics]
11. Extremal combinatorics: Extremal combinatorics is a field of combinatorics, which is itself a part of mathematics. Extremal combinatorics studies how large or how small a collection of finite objects (numbers, graphs, vectors, sets, etc.) can be, if it has to satisfy certain ... [70%] 2023-12-06 [Combinatorics] [Combinatorial optimization]...
12. Algebraic combinatorics: Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. The term "algebraic combinatorics" was introduced in the ... (Area of combinatorics) [70%] 2023-12-19 [Algebraic combinatorics]
13. Infinitary combinatorics: In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied include continuous graphs and trees, extensions of Ramsey's theorem, and Martin's axiom. [70%] 2023-12-17 [Set theory] [Combinatorics]...
14. Combinatorial dynamics: Combinatorial Dynamics is a part of the Dynamical systems theory dealing with the combinatorial structure of periodic orbits (called also cycles). It can be applied to continuous maps of one-dimensional compact spaces (the interval, trees, graphs) into itself and ... [59%] 2021-12-24 [Mappings] [Dynamical Systems]...
15. Combinatorial biology: In biotechnology, combinatorial biology is the creation of a large number of compounds (usually proteins or peptides) through technologies such as phage display. Similar to combinatorial chemistry, compounds are produced by biosynthesis rather than organic chemistry. (Biology) [59%] 2023-08-25 [Biotechnology] [Combinatorics]...
16. Combinatorial optimization: Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set. Typical combinatorial optimization ... (Subfield of mathematical optimization) [59%] 2024-01-08 [Combinatorial optimization] [Computational complexity theory]...
17. Combinatorial geometry: A branch of mathematics that unifies a circle of problems in which extremal properties of a combinatorial character are investigated for systems of figures. These problems are related, in the first instance, to optimal positioning (in a certain sense) of ... (Mathematics) [59%] 2023-10-17
18. Combinatorial map: A combinatorial map is a combinatorial object modelling topological structures with subdivided objects. Historically, the concept was introduced informally by J. [59%] 2022-07-24 [Algebraic topology] [Topological graph theory]...
19. Combinatorial topology: Combinatorial topology is the older name (pre-1970) for what is now called algebraic topology, a branch of mathematics. The classic text is P.S. [59%] 2023-06-28 [Topology]
20. Combinatorial topology: A branch of topology in which the topological properties of geometrical figures are studied by means of their divisions (cf. Division) into more elementary figures (for example, the triangulation of polyhedra into simplexes) or by means of coverings (cf. (Mathematics) [59%] 2023-09-12