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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.
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] An early implementation of the effect was the flipping page effect in Macromedia Flash applications in the late 1990s.
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 ]
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.
Flip (formerly Flipgrid and originally Vidku [1]) was a free-to-use video discussion platform bought by Microsoft for use in classroom environments. The platform was available via a web browser, [ 2 ] or through a mobile app on iOS and Android devices.
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 ...
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.