Results 61 to 70 of about 1,712 (185)
Elliptic integrals: Symmetry and symbolic integration [PDF]
, 1997 Computation of elliptic integrals, whether numerical or symbolic, has been aided by the contributions of Italian mathematicians. Tricomi had a strong interest in iterative algorithms for computing elliptic integrals and other special functions, and his ...
Carlson, B.C.
core
Journal of High Energy PhysicsWe compute the potential-graviton contribution to the scattering amplitude, the radial action, and the scattering angle of two extremal black holes in N $$ \mathcal{N} $$ = 8 supergravity at the fifth post-Minkowskian order and to next-to-leading order ...
Zvi Bern +6 more
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The polarized two-loop massive pure singlet Wilson coefficient for deep-inelastic scattering
Nuclear Physics B, 2019 We calculate the polarized massive two–loop pure singlet Wilson coefficient contributing to the structure functions g1(x,Q2) analytically in the whole kinematic region. The Wilson coefficient contains Kummer–elliptic integrals.
J. Blümlein, C. Raab, K. Schönwald
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Elliptic supersymmetric integrable model and multivariable elliptic functions [PDF]
Progress of Theoretical and Experimental Physics, 2017 We investigate the elliptic integrable model introduced by Deguchi and Martin, which is an elliptic extension of the Perk-Schultz model. We introduce and study a class of partition functions of the elliptic model by using the Izergin-Korepin analysis. We show that the partition functions are expressed as a product of elliptic factors and elliptic Schur-
openaire +2 more sources
Journal of High Energy PhysicsWe present the first benchmark evaluation of the two-loop finite remainders for the production of a top-quark pair in association with a jet at hadron colliders in the gluon channel.
Simon Badger +4 more
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Pendulum Integration and Elliptic Functions
, 2008 Revisiting canonical integration of the classical pendulum around its unstable equilibrium, normal hyperbolic canonical coordinates are ...
Garrido, P. L., Gallavotti, G.
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
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Path planning for simple wheeled robots : sub-Riemannian and elastic curves on SE(2) [PDF]
, 2013 This paper presents a motion planning method for a simple wheeled robot in two cases: (i) where translational and rotational speeds are arbitrary and (ii) where the robot is constrained to move forwards at unit speed.
Biggs, James +3 more
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Equidistant map projections of a triaxial ellipsoid with the use of reduced coordinates
Geodesy and Cartography, 2017 The paper presents a new method of constructing equidistant map projections of a triaxial ellipsoid as a function of reduced coordinates. Equations for x and y coordinates are expressed with the use of the normal elliptic integral of the second kind and ...
Pędzich Paweł
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