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In number theory, a branch of mathematics, Ramanujan's ternary quadratic form is the algebraic expression x 2 + y 2 + 10z 2 with integral values for x, y and z. [ 1 ] [ 2 ] Srinivasa Ramanujan considered this expression in a footnote in a paper [ 3 ] published in 1916 and briefly discussed the representability of integers in this form.
Ramanujan's ternary quadratic form; S. Signature (topology) Smith–Minkowski–Siegel mass formula; Spinor genus; Quadratic form (statistics) Surgery structure set;
A mapping q : M → R : v ↦ b(v, v) is the associated quadratic form of b, and B : M × M → R : (u, v) ↦ q(u + v) − q(u) − q(v) is the polar form of q. A quadratic form q : M → R may be characterized in the following equivalent ways: There exists an R-bilinear form b : M × M → R such that q(v) is the associated quadratic form.
The catalecticant of a ternary quartic is the resultant of its 6 second partial derivatives. It vanishes when the ternary quartic can be written as a sum of five 4th powers of linear forms. See also
In inorganic chemistry and materials chemistry, a ternary compound or ternary phase is a chemical compound containing three different elements. While some ternary compounds are molecular, e.g. chloroform (HCCl 3), more typically ternary phases refer to extended solids. Famous example are the perovskites. [1]
Yolande Cornelia "Nikki" Giovanni Jr., the internationally recognized poet and provocateur, died Monday in Blacksburg, Virginia. She was 81. Giovanni was a prolific writer, activist, educator ...
A ternary complex is a protein complex containing three different molecules that are bound together. In structural biology , ternary complex can also be used to describe a crystal containing a protein with two small molecules bound, such as a cofactor and a substrate ; or a complex formed between two proteins and a single substrate. [ 1 ]
Poker: Texas Hold'em (No Limit) Play two face down cards and the five community cards. Bet any amount or go all-in. By Masque Publishing