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When a straight cylindrical conductor of finite length is electrostatically charged, its electrostatic potential ϕ depends on the electrostatic charge qe, as expressed by the equation L(qe)=ϕ, where L is an integral operator.
Mario Versaci, Giovanni Angiulli
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Acoustic Radiation by 3D Vortex Rings in Air
Acoustic radiation emitted by three-dimensional (3D) vortex rings in air has been investigated on the basis of the unsteady Navier–Stokes equations. Power series expansions of the unknown functions with respect to the initial vorticity which is supposed ...
Fedor V. Shugaev +2 more
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Some applications of Legendre numbers
The associated Legendre functions are defined using the Legendre numbers. From these the associated Legendre polynomials are obtained and the derivatives of these polynomials at x=0 are derived by using properties of the Legendre numbers.
Paul W. Haggard
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More Theory About Infinite Numbers and Important Applications
In the author’s previous studies, new infinite numbers, their properties, and calculations were introduced. These infinite numbers quantify infinity and offer new possibilities for solving complicated problems in mathematics and applied sciences in which
Emmanuel Thalassinakis
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Automatic baseline correction of 1D NMR spectra using a spline-constrained neural network. [PDF]
Wang H +6 more
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Fractional Ion Contributions to Mixed Electrolyte Ion Atmospheres from Experimental Thermodynamic Data. [PDF]
Ploetz EA, Smith PE.
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<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]
Loeffler D, Williams C.
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The Hartree-Fock Exchange for Crystalline Systems: The Implementation with an (<i>All-Electron</i>) Gaussian-Type Basis Set and Numerical Evidence with Reference to Perovskites. [PDF]
Dovesi R +4 more
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Power Counting in the Spectral Action Matrix Model. [PDF]
Hekkelman EM, van Nuland TDH, Reimann J.
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Quantum curve for strip geometries, topological recursion and open GW/DT invariants. [PDF]
Banerjee S, Hock A.
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