Results 11 to 20 of about 1,025,793 (179)
Did Lobachevsky Have A Model Of His "imaginary Geometry"? [PDF]
The invention of non-Euclidean geometries is often seen through the optics of Hilbertian formal axiomatic method developed later in the 19th century. However such an anachronistic approach fails to provide a sound reading of Lobachevsky's geometrical works.
W Widada +5 more
core +9 more sources
On the possibility of teaching elements of Lobachevski Geometry at School [PDF]
It is useful to teach elements of Lobachevsky geometry at school because the study of non-Euclidean geometry makes good impact on the understanding of logical structure of school geometry, on the comprehension of the role and place of the axiom of parallelism. We propose and describe here the program of such course.
Atanasyan, Sergey
openaire +3 more sources
Rectangles in Lobachevsky Geometry [PDF]
If we replace the V Postulate of Euclid with the Postulate of Lobachevsky, then we can get rectangles with more than 4 angles. The article describes the methodology for constructing such rectangles.
Vladimir Dmitrievich Chemeris +1 more
openaire +1 more source
Variability in Resistive Memories
A comprehensive review of variability in resistive memories is presented. Experimental evidence of variability for resistive memories is described. Later on, different approaches to model this variability from the physical, behavioral, and stochastic viewpoints are presented.
Juan B. Roldán +19 more
wiley +1 more source
A relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds
Abstract We define a relative version of the Turaev–Viro invariants for an ideally triangulated compact 3‐manifold with nonempty boundary and a coloring on the edges, generalizing the Turaev–Viro invariants [36] of the manifold. We also propose the volume conjecture for these invariants whose asymptotic behavior is related to the volume of the manifold
Tian Yang
wiley +1 more source
Observation of Robust Polarization Squeezing via the Kerr Nonlinearity in an Optical Fiber
Squeezed light is a photonic quantum technology resource. The optical Kerr effect is often used to generate polarization squeezing. Such setups have been very sensitive to fluctuations of external factors. Here, a new all‐fiber very stable passive setup generating more than 5 dB of squeezing is presented.
Nikolay Kalinin +7 more
wiley +1 more source
Abstract How is it that the basic structures of space and time come to manifest themselves in physical theories and theorising, and in our empirical experience of the world? This question is central to an important field of the philosophy of physics: the epistemology of spacetime.
Neil Dewar, Niels Linnemann, James Read
wiley +1 more source
Data analysis on nonstandard spaces
Surveying many non‐Euclidean statistical problems with ingenious solutions, we uncover new ones, keeping mathematicians, statisticians, computer and data scientists busy for a while. Abstract The task to write on data analysis on nonstandard spaces is quite substantial, with a huge body of literature to cover, from parametric to nonparametrics, from ...
Stephan F. Huckemann, Benjamin Eltzner
wiley +1 more source
Lobachevsky geometry in TTW and PW systems [PDF]
9 pages, misprint corrected, reference added. To appear in the Proceedings of the IX Symposium on Quantum Theory and Symmetries (QTS-9), July 13-18, 2015 ...
Hakobyan, Tigran +2 more
openaire +2 more sources
The comparison of 27 bare TiO2 and TiO2/organic clusters calculated at the DFTB level with results of B3LYP calculations shows that DFTB parameter sets (tiorg‐smooth, trans3d, and matsci) describe the structure and properties of clusters (HOMO‐LUMO gap, potential ionization, and electron transfer characteristics) at a level that is close to DFT ...
Vladimir S. Naumov +6 more
wiley +1 more source

