Results 31 to 40 of about 1,025,793 (179)
Strongly Nonlinear Transverse Perturbations in Phononic Crystals
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The dynamics of the surface heterogeneities formation in low‐dimensional phononic crystals is studied. It is shown that phononic transverse perturbations in this medium are highly nonlinear. They can be described with the help of the Riemann wave and may form stable wave structures of the finite amplitude.
S. Nikitenkova +2 more
wiley +1 more source
N.I. LOBACHEVSKY AND SCHOOL GEOMETRY COURSE [PDF]
, 2017 В статье рассмотрены исторические предпосылки возникновения и концепция Н.И. Лобачевского построения школьного курса геометрии, ее связь с современными взглядами на школьный учебник геометрии.The article considers historical preconditions and the concept
Орлов В.В.
core
Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
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On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers. We discuss the invertibility of the skew circulant type matrices and present explicit determinants and inverse matrices of them by constructing the transformation ...
Zhaolin Jiang +3 more
wiley +1 more source
Velimir Khlebnikov and the Fourth Dimension
ArtsThe developments in mathematics in the nineteenth century, in particular non-Euclidean geometry, which was not concerned with flat space, but with curvature, led at the end of the century and the beginning of the next one to much discussion of and ...
Willem G. Weststeijn
doaj +1 more source
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, 2022 The use of the geometry of the Lobachevsky momentum space in the relativistic kinematics of particle collisions is demonstrated by the example of the problem of a special reference system. That system complements the geometric image of the process of elastic scattering of two particles of unequal masses. The speed of a special reference system relative
Yu. A. Kurochkin, N. D. Shaikovskaya
openaire +1 more source
On the Question of the Solution of the Wave Equation
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.The problem of normal incidence of a plane wave on a layer with a one‐dimensional perturbation of the permittivity of the medium is considered under the condition that the spatial scale of the inhomogeneity can be both much smaller and on the order of the wavelength in vacuum.
A. E. Volvach +4 more
wiley +1 more source
On Analog of Fourier Transform in Interior of the Light Cone
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce an analog of Fourier transform Fhρ in interior of light cone that commutes with the action of the Lorentz group. We describe some properties of Fhρ, namely, its action on pseudoradial functions and functions being products of pseudoradial function and space hyperbolic harmonics. We prove that Fhρ‐transform gives a one‐to‐one correspondence
Tatyana Shtepina, Adem Kilicman
wiley +1 more source
Journal of Biophotonics, Volume 17, Issue 11, November 2024.SKYQUANT 3D is a workflow with a set of Python instructions for Avizo, designed to optimize the quantification of optoacoustic angiograms. Our workflow automates batch processing, significantly accelerating volumetric data handling compared to traditional manual methods, thus facilitating analysis of vascular systems in preclinical and clinical ...
Artemii Korobov +13 more
wiley +1 more source
Multidimensional Lobachevsky Spline Integration on Scattered Data [PDF]
, 2014 This paper deals with the topic of numerical integration on scattered data in Rd, d ≤10, by a class of spline functions, called Lobachevsky splines.
De Rossi, Alessandra +2 more
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