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Acoustic Radiation by 3D Vortex Rings in Air [PDF]

open access: yesAerospace, 2015
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
doaj   +2 more sources

Some applications of Legendre numbers [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
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
doaj   +2 more sources

Electrostatic Capacity of a Metallic Cylinder: Effect of the Moment Method Discretization Process on the Performances of the Krylov Subspace Techniques [PDF]

open access: yesMathematics, 2020
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
doaj   +2 more sources

More Theory About Infinite Numbers and Important Applications [PDF]

open access: yesMathematics
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
doaj   +2 more sources

Hirota, Fay and geometry. [PDF]

open access: yesLett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

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