We remove the need for Laplace/inverse-Laplace transformations of experimental data, by presenting a direct and straightforward mathematical procedure for obtaining frequency-dependent storage and loss moduli [G'(omega) and G''(omega), respectively], from time-dependent experimental measurements. The procedure is applicable to ordinary rheological creep (stress-step) measurements, as well as al...

The main objective of this work is to introduce a novel generalization double transformations called the triple Laplace–ARA–Sumudu transform (TLARAST). This hybrid transformation extends concepts Laplace–Sumudu, Laplace–ARA and ARA–Sumudu transforms into transform. article provides definition TLARAST investigates its fundamental properties, including existence, inverses related theorems. Furthe...

The paper presents an innovative way of a simulation of multiconductor transmission line (MTL) circuits which combines the Laplace transformations in one and in two variables. This approach enables to compute both nodal voltages (branch currents) in lumped-element parts of a circuit and voltage (current) waves distributions along MTLs’ wires effectively. The first one is performed by the numeri...

In this paper, the problem of an unbonded material under variable thermal conductivity with and without Kirchhoff’s transformations is investigated. The context generalized thermoelasticity model. boundary plane medium exposed to a shock that time-dependent considered be traction-free. Because nonlinear formulations are difficult, finite element method applied solve transformations. linear case...

Conformal transformations of the following kinds are compared: (1) conformal coordinate transformations, (2) conformal transformations of Lagrangian models for a D-dimensional geometry, given by a Riemannian manifold M with metric g of arbitrary signature, and (3) conformal transformations of (mini-)superspace geometry. For conformal invariance under this transformations the following applicati...

Motivated by the classical studies on transformations of conjugate nets, we develop the general geometric theory of transformations of their discrete analogues: the multidimensional quadrilateral lattices, i.e. lattices x : Z −→ R , N ≤ M , whose elementary quadrilaterals are planar. Our investigation is based on the discrete analogue of the theory of the rectilinear congruences, which we also ...