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The first few terms of this sequence are 1, 1, 2, 4, 10, 26, 76, 232 (sequence A000085 in the OEIS); these numbers are called the telephone numbers, and they also count the number of Young tableaux with a given number of cells. [4] The number a n can also be expressed by non-recursive formulas, such as the sum = = ⌊ ⌋!! ()!. The number of ...
In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. [1] The evolute of an involute is the original curve.
A cellular automaton consists of a regular grid of cells, each in one of a finite number of states, such as on and off (in contrast to a coupled map lattice). The grid can be in any finite number of dimensions. For each cell, a set of cells called its neighborhood is defined relative to the specified cell.
Roughly speaking, a roulette is the curve described by a point (called the generator or pole) attached to a given curve as that curve rolls without slipping, along a second given curve that is fixed. More precisely, given a curve attached to a plane which is moving so that the curve rolls, without slipping, along a given curve attached to a ...
The involute gear profile, sometimes credited to Leonhard Euler, [1] was a fundamental advance in machine design, since unlike with other gear systems, the tooth profile of an involute gear depends only on the number of teeth on the gear, pressure angle, and pitch. That is, a gear's profile does not depend on the gear it mates with.
The bodies of a California mother of three and her 19-year-old son were found dead by her daughter days before the family was set to celebrate Christmas.
Number, player, team. 2 Teddy Stiga, Boston College. 8 Brandon Svoboda, Boston University. 9 Ryan Leonard, Boston College* 10 Carey Terrance, Erie Otters* 11 Oliver Moore, University of Minnesota*
Heart disease is the No. 1 cause of death in the U.S. Yet, according to the American Heart Association, half of Americans are unaware of this sobering statistic. The good news is that a diet ...