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In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: ... [2] 2813001 4 = 2767624 4 + 1390400 4 ...
In group theory, the correspondence theorem [1] [2] [3] [4] [5] [6] [7] [8] (also the lattice theorem, [9] and variously and ambiguously the third and fourth ...
The four roots of the depressed quartic x 4 + px 2 + qx + r = 0 may also be expressed as the x coordinates of the intersections of the two quadratic equations y 2 + py + qx + r = 0 and y − x 2 = 0 i.e., using the substitution y = x 2 that two quadratics intersect in four points is an instance of Bézout's theorem.
If, in addition to vector addition and scalar multiplication, there is a bilinear vector product V × V → V, the vector space is called an algebra; for instance, associative algebras are algebras with an associate vector product (like the algebra of square matrices, or the algebra of polynomials).
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