Results 61 to 70 of about 1,540,688 (355)
Complete $(p,q)$-elliptic integrals with application to a family of means [PDF]
The complete elliptic integrals are generalized by using the generalized trigonometric functions with two parameters. It is shown that a particular relation holds for the generalized integrals. Moreover, as an application of the integrals, an alternative
Toshiki Kamiya, S. Takeuchi
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ABSTRACT Background Central nervous system (CNS) inflammatory demyelinating syndromes, including multiple sclerosis (MS), aquaporin‐4 antibody–positive neuromyelitis optica spectrum disorder (AQP4 + NMOSD), and myelin oligodendrocyte glycoprotein (MOG) antibody–associated disease (MOGAD), occasionally overlap.
Bade Gulec +6 more
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An elliptic integral identity [PDF]
The identity \[ K ( τ ) = 1 ( 2 π ) 1 / 2
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ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto +12 more
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Complete p-elliptic integrals and a computation formula of $$\pi _p$$πp for $$p=4$$p=4 [PDF]
The complete p-elliptic integrals are generalizations of the complete elliptic integrals by the generalized trigonometric function $$\sin _p{\theta }$$sinpθ and its half-period $$\pi _p$$πp.
S. Takeuchi
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Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source
Limits of elliptic hypergeometric integrals
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist.
Rains, Eric M.
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An Elliptic Integral Identity [PDF]
The definite integral \[ ∫ 0 ∞ [ (
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A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora +4 more
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Formulas for the arithmetic geometric mean of curves of genus 3
The arithmetic geometric mean algorithm for calculation of elliptic integrals of the first type was introduced by Gauss. The analog algorithm for Abelian integrals of genus 2 was introduced by Richelot (1837) and Humbert (1901).
Lehavi, D., Ritzenthaler, C.
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