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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.
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.
Ramanujan's ternary quadratic form; S. Signature (topology) Smith–Minkowski–Siegel mass formula; Spinor genus; Quadratic form (statistics) Surgery structure set;
This is an accepted version of this page This is the latest accepted revision, reviewed on 8 January 2025. German mathematician, astronomer, geodesist, and physicist (1777–1855) "Gauss" redirects here. For other uses, see Gauss (disambiguation). Carl Friedrich Gauss Portrait by Christian Albrecht Jensen, 1840 (copy from Gottlieb Biermann, 1887) Born Johann Carl Friedrich Gauss (1777-04-30 ...
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
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 ...
LaMelo Ball had 32 points and 10 rebounds, Miles Bridges added 21 points and the Charlotte Hornets snapped a 10-game losing streak with a 115-104 win over the Phoenix Suns on Tuesday night. Nick ...
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 ]