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Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.
Flip page effects can be found in both online and offline application software, and are often created automatically from one of various e-book formats. For example, flip page effects can be found in the online digital libraries HathiTrust [1] and Internet Archive, [2] and in commercial reading apps such as Paperturn, 3D Issue [3] and Issuu. [4]
In combinatorics, stars and bars (also called "sticks and stones", [1] "balls and bars", [2] and "dots and dividers" [3]) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve a variety of counting problems , such as how many ways there are to put n indistinguishable balls into k distinguishable bins. [ 4 ]
A flip book, flipbook, [1] flicker book, or kineograph is a booklet with a series of images that very gradually change from one page to the next, so that when the pages are viewed in quick succession, the images appear to animate by simulating motion or some other change. Often, flip books are illustrated books for children, but may also be ...
Template:Resolved/See also, the smaller family of thread-level hatnote templates, similar to the above but with a box around them; any template above can be converted to one of those with {} Template:Table cell templates/doc, the family of table-specific templates that work only in tables; Category:Image with comment templates
The Fano matroid, derived from the Fano plane.Matroids are one of many kinds of objects studied in 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.
For the usual chessboard (8 × 8), G 8 = 2 4 × 4! = 16 × 24 = 384 centrally symmetric arrangements of 8 rooks. One such arrangement is shown in Fig. 2. For odd-sized boards (containing 2n + 1 ranks and 2n + 1 files) there is always a square that does not have its symmetric double − this is the central square of the board. There must always ...
The discipline of combinatorial topology used combinatorial concepts in topology and in the early 20th century this turned into the field of algebraic topology.. In 1978 the situation was reversed—methods from algebraic topology were used to solve a problem in combinatorics—when László Lovász proved the Kneser conjecture, thus beginning the new field of topological combinatorics.