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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. ... Quadratic form (statistics) Surgery structure set; Sylvester's law of inertia; T. Tensor product of quadratic forms; U. U ...
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.
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 ]
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
This story was reviewed by Mike Bohl, MD. In the ‘80s, researchers set out to test a medication called sildenafil citrate for treating high blood pressure and angina (chest pain) from heart disease.
Italian journalist Cecilia Sala has arrived back in the country’s capital after being freed from an Iranian prison where she had spent weeks in detention.. Sala is a reporter for the Italian ...
1. A contravariant of a ternary form, giving the equation of a dual curve. (Elliott 1895, p.400) reciprocity Exchanging the degree of a form with the degree of an invariant. For example, Hermite's law of reciprocity states that the degree p invariants of a form of degree n correspond to the degree n invariants of a form of degree p.