by virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. three-dimensional point-load green’s functions for stresses and displacements were given in line-integral representations. the formulation included a complete set of transformed stress-p...

This paper presents a generalization for systems of partial differential equations of Gronwall's classical integral inequality for ordinary differential equations. The proof is by reducing the vector integral inequality to a vector partial differential inequality and then using a vector generalization of Riemann's method to obtain the final inequality. The final inequality involves a matrix fun...

Aims. A Gaussianity analysis using a goodness-of-fit test has been performed to study the measured Archeops Cosmic Microwave Background (CMB) temperature anisotropy data for a 143 GHz Archeops bolometer. We consider large angular scales, greater than 1.8 degrees, and a large fraction of the North Galactic hemisphere, around 16%, with a galactic latitude b > 15 degrees. Methods. The considered g...

This paper presents a novel kind of bi-stable structure: bi-stable space frames, based on a double-layer cylindrical architecture. An analytical method to carry out a preliminary assessment of the bi-stability of such space frames is introduced here and a series of bi-stable space frames found by this method are presented. Non-linear finite element simulations have been used to test one of the ...

nakhlak lead mine is located at the nakhlak mountain 55 km ne of anarak town in isfahan province. the mineralogy is simple; galena and barite are the main primary minerals and cerussite is the main secondary mineral. sphalerite, pyrite, chalcopyrite, tetrahedrite-tennantite and acanthite occur as minor and trace mineral inclusions in galena. secondary minerals are anglesite, plattnerite, wulfen...

By virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic Green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. Three-dimensional point-load Green’s functions for stresses and displacements were given in line-integral representations. The formulation included a complete set of transformed stress-p...

In the paper Targino (Outer Lipschitz Geometry of Complex Algebraic Plane Curves. International Mathematics Research Notices, rnac202. https://doi.org/10.1093/imrn/rnac202 , 2022) Renato shows that bi-Lipschitz type a plane curve is determined by local ambient topological properties curves. Here we show it no longer true in higher dimensions. However space curves number singular points and gene...

The gyroscopic force acting on a ferromagnetic soliton reflects the tendency of spins to precess. Its components increase linearly with (generalized) velocities soliton. proportionality coefficients form tensor, generalization Thiele's gyrovector. Originally introduced as an auxiliary quantity, tensor turns out be mathematical object fundamental importance long history going back Lagrange. We r...