Results 31 to 40 of about 507,473 (299)

Derivative polynomials and closed-form higher derivative formulae [PDF]

open access: yesApplied Mathematics and Computation, 2009
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.
openaire   +4 more sources

A Closed-Form Expression for the Gaussian Noise Model in the Presence of Raman Amplification [PDF]

open access: yesJournal of Lightwave Technology, 2023
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

open access: yesMathematical and Computational Applications, 2023
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
doaj   +1 more source

CLOSED FORM FORMULA FOR THE NUMBER OF RESTRICTED COMPOSITIONS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2010
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
openaire   +2 more sources

Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution

open access: yesIEEE Access, 2021
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
doaj   +1 more source

Special Types of Locally Conformal Closed G2-Structures

open access: yesAxioms, 2018
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
doaj   +1 more source

On a class of solvable difference equations generalizing an iteration process for calculating reciprocals

open access: yesAdvances in Difference Equations, 2021
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
doaj   +1 more source

Explicitly Invertible Approximations of the Gaussian Q-Function: A Survey

open access: yesIEEE Open Journal of the Communications Society, 2023
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
doaj   +1 more source

A Closed-Form Expression for the Gaussian Noise Model in the Presence of Inter-Channel Stimulated Raman Scattering Extended for Arbitrary Loss and Fibre Length

open access: yesJournal of Lightwave Technology, 2023
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]

open access: yesQuantum Information Processing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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