• 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...
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  • theorem Primitive root modulo n Multiplicative order Discrete logarithm Quadratic residue Euler's criterion Legendre symbol Gauss's lemma (number theory)...
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  • Theory and Computational Complexity. These two are examples of a Ramanujan–Sato series. The related Chudnovsky algorithm uses a discriminant with class number...
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  • and Guy) is a square-free positive integer d such that the imaginary quadratic field Q [ − d ] {\displaystyle \mathbb {Q} \left[{\sqrt {-d}}\right]}...
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  • Design. Symposium on Computer Animation 2010: 103–112 Yuki Koyama, Issei Sato, Daisuke Sakamoto, Takeo Igarashi: Sequential Line Search for Efficient Visual...
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  • matching: SP16  Open-shop scheduling Partition problem: SP12  Quadratic assignment problem: ND43  Quadratic programming (NP-hard in some cases, P if convex) Subset...
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  • Homogeneous polynomial Polynomial SOS (sum of squares) Polynomial family Quadratic function Cubic function Quartic function Quintic function Sextic function...
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  • 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 +...
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  • function Ramanujan graph Ramanujan's tau function Ramanujan's ternary quadratic form Ramanujan prime Ramanujan's constant Ramanujan's lost notebook Ramanujan's...
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  • Swinnerton-Dyer conjecture, the ABC conjecture, the modularity conjecture, the Sato-Tate conjecture, and explicit aspects of the Langlands program. Magma computer...
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    scale, Gaussians are quadratic. This means that parabolic interpolation of a sampled Gaussian transform is exact. ... quadratic interpolation of spectral...
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  • Thumbnail for J-invariant
    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...
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  • circle method to tackle a problem involving positive definite diagonal quadratic forms in four variables, strengthening his 1924 dissertation research...
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  • Thumbnail for Graphene
    relativistic particles. Charge carriers in graphene show linear, rather than quadratic, dependence of energy on momentum, and field-effect transistors with graphene...
    262 KB (27,366 words) - 15:21, 26 July 2024
  • Thumbnail for Srinivasa Ramanujan
    Ramanujan graph Ramanujan summation Ramanujan's constant Ramanujan's ternary quadratic form Rank of a partition FRS (/ˈsriːnɪvɑːsə rɑːˈmɑːnʊdʒən/ SREE-nih-vah-sə...
    105 KB (11,673 words) - 00:45, 22 July 2024
  • 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...
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  • Thumbnail for Homogeneous space
    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...
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  • Thumbnail for Timeline of Indian history
    Nadu, India. 14 March 2012. Archived from the original on 29 June 2013. *Sato, Tsugitaka (2014). Sugar in the Social Life of Medieval Islam. BRILL. p....
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  • rd is any integer. Linear combinations of eta quotients at imaginary quadratic arguments may be algebraic, while combinations of eta quotients may even...
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  • 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...
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  • 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...
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  • p. 208. Alsina, Montserrat; Bayer, Pilar (2004), Quaternion orders, quadratic forms, and Shimura curves, CRM Monograph Series, vol. 22, Providence,...
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  • Strategy". IEEE Access. 6: 19968–19983. doi:10.1109/ACCESS.2017.2776958. Sato, Mayuko; Fukuyama, Yoshikazu (2018). "Total Optimization of Smart City by...
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  • transcendental, it is by definition not algebraic and so cannot be a quadratic irrational. Therefore, π cannot have a periodic continued fraction. Although...
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  • entire transcendental function is unbounded. Fatou conjecture that a quadratic family of maps from the complex plane to itself is hyperbolic for an open...
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  • 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...
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  • Thumbnail for Uncertainty principle
    Demange, Bruno (2009), Uncertainty Principles Associated to Non-degenerate Quadratic Forms, Société Mathématique de France, ISBN 978-2-85629-297-6 Whittaker...
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  • {{cite journal}}: Cite journal requires |journal= (help) Hamada M, Kiryu H, Sato K, Mituyama T, Asai K (February 2009). "Prediction of RNA secondary structure...
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  • 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...
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  • collaborated with NTT Docomo's project Quadratic Playground. The virtual reality music video, created by Quadratic Playground, was uploaded on October 26...
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