algebraic geometry, an elliptic curve E over a field K has an associated quadratic twist, that is another elliptic curve which is isomorphic to E over an...

theorem Primitive root modulo n Multiplicative order Discrete logarithm Quadratic residue Euler's criterion Legendre symbol Gauss's lemma (number theory)...

Theory and Computational Complexity. These two are examples of a Ramanujan–Sato series. The related Chudnovsky algorithm uses a discriminant with class number...

and Guy) is a square-free positive integer d such that the imaginary quadratic field Q [ − d ] {\displaystyle \mathbb {Q} \left[{\sqrt {-d}}\right]}...

Design. Symposium on Computer Animation 2010: 103–112 Yuki Koyama, Issei Sato, Daisuke Sakamoto, Takeo Igarashi: Sequential Line Search for Efficient Visual...

matching: SP16  Open-shop scheduling Partition problem: SP12  Quadratic assignment problem: ND43  Quadratic programming (NP-hard in some cases, P if convex) Subset...

Homogeneous polynomial Polynomial SOS (sum of squares) Polynomial family Quadratic function Cubic function Quartic function Quintic function Sextic function...

τ(p)τ(p j ) − p11τ(p j−1 ), and |τ(p)| ≤ 2p11/2. Ramanujan observed that the quadratic equation of u = p−s in the denominator of RHS of (3), 1 − τ ( p ) u +...

Swinnerton-Dyer conjecture, the ABC conjecture, the modularity conjecture, the Sato-Tate conjecture, and explicit aspects of the Langlands program. Magma computer...

function Ramanujan graph Ramanujan's tau function Ramanujan's ternary quadratic form Ramanujan prime Ramanujan's constant Ramanujan's lost notebook Ramanujan's...

complex multiplication (that is, if τ is any element of an imaginary quadratic field with positive imaginary part, so that j is defined), then j(τ) is...

number for almost all integers n. Euler first noticed (in 1772) that the quadratic polynomial P ( n ) = n 2 + n + 41 {\displaystyle P(n)=n^{2}+n+41} is prime...

circle method to tackle a problem involving positive definite diagonal quadratic forms in four variables, strengthening his 1924 dissertation research...

scale, Gaussians are quadratic. This means that parabolic interpolation of a sampled Gaussian transform is exact. ... quadratic interpolation of spectral...

relativistic particles. Charge carriers in graphene show linear, rather than quadratic, dependence of energy on momentum, and field-effect transistors with graphene...

Ramanujan graph Ramanujan summation Ramanujan's constant Ramanujan's ternary quadratic form Rank of a partition FRS (/ˈsriːnɪvɑːsə rɑːˈmɑːnʊdʒən/ SREE-nih-vah-sə...

Bamzai. History of Kashmir. Metropolitan Book Co Pvt Ltd, 1973. p. 259. Satō, Tsugitaka (2015). Sugar in the social life of medieval islam. Islamic area...

that the latter are not independent of each other. In fact, a single quadratic relation holds between the six minors, as was known to nineteenth-century...

Tamagawa numbers algebraic groups The problem, based on Siegel's theory for quadratic forms, submitted to a long series of case analysis steps. 1990 Ken Ribet...

height on an abelian variety is a height function that is a distinguished quadratic form. See Néron–Tate height. Chabauty's method Chabauty's method, based...

transcendental, it is by definition not algebraic and so cannot be a quadratic irrational. Therefore, π cannot have a periodic continued fraction. Although...

entire transcendental function is unbounded. Fatou conjecture that a quadratic family of maps from the complex plane to itself is hyperbolic for an open...

Demange, Bruno (2009), Uncertainty Principles Associated to Non-degenerate Quadratic Forms, Société Mathématique de France, ISBN 978-2-85629-297-6 Whittaker...

rd is any integer. Linear combinations of eta quotients at imaginary quadratic arguments may be algebraic, while combinations of eta quotients may even...

Bhargava Nils Dencker "For his discovery of new composition laws for quadratic forms, and for his work on the average size of ideal class groups" "For...

the properties and generalizations of functions. It was started by Mikio Sato. Algebraic combinatorics an area that employs methods of abstract algebra...

search to reduce some features, it might also be reformulated as a global quadratic programming optimization problem as follows: Q P F S : min x { α x T H...

collaborated with NTT Docomo's project Quadratic Playground. The virtual reality music video, created by Quadratic Playground, was uploaded on October 26...

The function of displacement governs how the elements move. Linear, quadratic, or cubic polynomial functions are commonly used. Decide the displacement-strain...

p. 208. Alsina, Montserrat; Bayer, Pilar (2004), Quaternion orders, quadratic forms, and Shimura curves, CRM Monograph Series, vol. 22, Providence,...