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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, when k = 3 the n th number is the (n + 1) st triangular number, which falls on the second diagonal, 1, 3, 6, 10, .... Proofs via the method of stars and bars
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.
It is an extended version of his first doctoral dissertation, [2] written before the author had seriously undertaken the study of mathematics. [3] The booklet was reissued without Leibniz' consent in 1690, which prompted him to publish a brief explanatory notice in the Acta Eruditorum . [ 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 ...
How It's Made is a documentary television series that premiered on January 6, 2001, on the Discovery Channel in Canada and Science in the United States. The program is produced in the Canadian province of Quebec by Productions MAJ, Inc. and Productions MAJ 2.
A flip is a class of mixed drinks. According to the Oxford English Dictionary , the term was first used in 1695 to describe a mixture of beer , rum , and sugar , heated with a red-hot iron ("Thus we live at sea; eat biscuit, and drink flip"). [ 1 ]
A typical 6 nimmt! game. The goal is to be the player with the fewest points. To do this, the players need to avoid picking up penalty cards. 6 nimmt! is played using a special card deck that has a variable number of small cattle heads on them. The cards are numbered 1 to 104, each giving 1, 2, 3, 5 or 7 points (i.e. cattle heads) to the person ...