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One solution of the nine dots puzzle. It is possible to mark off the nine dots in four lines. [13] To do so, one goes outside the confines of the square area defined by the nine dots themselves. The phrase thinking outside the box, used by management consultants in the 1970s and 1980s, is a restatement of the solution strategy. According to ...
In the mathematical theory of matroids, a matroid representation is a family of vectors whose linear independence relation is the same as that of a given matroid. Matroid representations are analogous to group representations; both types of representation provide abstract algebraic structures (matroids and groups respectively) with concrete descriptions in terms of linear algebra.
Another example is the rng of all real sequences that converge to 0, with component-wise operations. Also, many test function spaces occurring in the theory of distributions consist of functions decreasing to zero at infinity, like e.g. Schwartz space. Thus, the function everywhere equal to one, which would be the only possible identity element ...
A generalization of Artin's theorem states that whenever three elements ,, in an alternative algebra associate (i.e., [,,] =), the subalgebra generated by those elements is associative. A corollary of Artin's theorem is that alternative algebras are power-associative , that is, the subalgebra generated by a single element is associative. [ 5 ]
In mathematics, the projective special linear group PSL(2, 7), isomorphic to GL(3, 2), is a finite simple group that has important applications in algebra, geometry, and number theory. It is the automorphism group of the Klein quartic as well as the symmetry group of the Fano plane .
An 11-year-old's Christmas came early with a special surprise that left him absolutely over the moon. Kellan couldn't believe his eyes when he spotted a tail-wagging puppy on the other side of his ...
Spades is all about bids, blinds and bags. Play Spades for free on Games.com alone or with a friend in this four player trick taking classic.
The Fano plane is a Steiner triple system S(2,3,7). The blocks are the 7 lines, each containing 3 points. Every pair of points belongs to a unique line. In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ = 1 and t = 2 or (recently) t ≥ 2.
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