Results 31 to 40 of about 507,473 (299)
Derivative polynomials and closed-form higher derivative formulae [PDF]
In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions.
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A Closed-Form Expression for the Gaussian Noise Model in the Presence of Raman Amplification [PDF]
A closed-form model for the nonlinear interference (NLI) in Raman amplified links is presented, the formula accounts for both forward (FW) and backward (BW) pumping schemes and inter-channel stimulated Raman scattering (ISRS) effect.
H. Buglia +4 more
semanticscholar +1 more source
A Computational Method with Maple for Finding the Maximum Curvature of a Bézier-Spline Curve
In this paper, we propose two Maple procedures and some related utilities to determine the maximum curvature of a cubic Bézier-spline curve that interpolates an ordered set of points in R2 or R3.
Henk Pijls, Le Phuong Quan
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CLOSED FORM FORMULA FOR THE NUMBER OF RESTRICTED COMPOSITIONS [PDF]
AbstractIn this paper, compositions of a natural number are studied. The number of restricted compositions is given in a closed form, and some applications are presented.
Jaklič, Gašper +2 more
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Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
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Special Types of Locally Conformal Closed G2-Structures
Motivated by known results in locally conformal symplectic geometry, we study different classes of G 2 -structures defined by a locally conformal closed 3-form.
Giovanni Bazzoni, Alberto Raffero
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The well-known first-order nonlinear difference equation y n + 1 = 2 y n − x y n 2 , n ∈ N 0 , $$ y_{n+1}=2y_{n}-xy_{n}^{2}, \quad n\in {\mathbb {N}}_{0}, $$ naturally appeared in the problem of computing the reciprocal value of a given nonzero real ...
Stevo Stević
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Explicitly Invertible Approximations of the Gaussian Q-Function: A Survey
Communications and information theory use the Gaussian $Q$ -function, a positive and decreasing function, across the literature. Its approximations were created to simplify mathematical study of the Gaussian $Q$ -function expressions. This is important
Alessandro Soranzo +4 more
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A closed-form formula for the nonlinear interference (NLI) estimation using the Gaussian noise (GN) model in the presence of inter-channel stimulated Raman scattering (ISRS) is derived.
H. Buglia +6 more
semanticscholar +1 more source
Closed-form formula on quantum factorization effectiveness [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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