Results 41 to 50 of about 1,522,870 (339)

Covariant Space-Time Line Elements in the Friedmann–Lemaitre–Robertson–Walker Geometry

Axioms, 2022
Most quantum gravity theories quantize space-time on the order of Planck length (ℓp ). Some of these theories, such as loop quantum gravity (LQG), predict that this discreetness could be manifested through Lorentz invariance violations (LIV) over ...
David Escors, Grazyna Kochan
doaj   +1 more source

Complex Kerr Geometry and Nonstationary Kerr Solutions

, 2003
In the frame of the Kerr-Schild approach, we consider the complex structure of Kerr geometry which is determined by a complex world line of a complex source. The real Kerr geometry is represented as a real slice of this complex structure.
A. Burinskii, A. Sen, A.Ya. Burinskii, A.Ya. Burinskii, A.Ya. Burinskii, A.Ya. Burinskii, A.Ya. Burinskii, A.Ya. Burinskii, Alexander Burinskii, B. Carter, B.S. De Witt, C.A. López, D. Cox, D. Ivanenko, D. Ivanenko, E. Newman, E.T. Newman, E.T. Newman, G.C. Debney, H. Ooguri, H. Ooguri, H. Ruse, O. Veblen, P.C. Vaidya, R. Penrose, R.P. Kerr, R.W. Lind, W. Israel, W. Kinnersley   +28 more
core   +1 more source

Integral geometry of pairs of hyperplanes or lines

Archiv der Mathematik, 2020
AbstractCrofton’s formula of integral geometry evaluates the total motion invariant measure of the set of k-dimensional planes having nonempty intersection with a given convex body. This note deals with motion invariant measures on sets of pairs of hyperplanes or lines meeting a convex body. Particularly simple results are obtained if, and only if, the
Hug, Daniel, Schneider, Rolf
openaire   +5 more sources

On organizing principles of Discrete Differential Geometry. Geometry of spheres

, 2006
Discrete differential geometry aims to develop discrete equivalents of the geometric notions and methods of classical differential geometry. In this survey we discuss the following two fundamental Discretization Principles: the transformation group ...
Bobenko, Alexander I., Suris, Yuri B.
core   +2 more sources

THE FULFILLED EUCLIDEAN PLANE [PDF]

, 2009
The fulfilled euclidean plane is the real projective plane, completed with the infinite point of its infinite line denoted new incidence structure. This is a structure with neighbouring elements, in which the unicity of the line through two distinct ...
Vasiu, Adrian, Vasiu, Angela
core   +1 more source

THE EFFECT OF THE EUCLIDEAN GEOMETRY SHORT LEARNING PROGRAMME USING THE WORKED-OUT EXAMPLES TEACHING APPROACH ON MATHEMATICS TEACHERS' PERFORMANCE

JOHME: Journal of Holistic Mathematics Education, 2022
The studies on the worked-out examples teaching approach (WOETA) have been investigated globally and in South Africa, showing gains in learners' performance. This study reports on the Euclidean geometry short learning programme (EGSLP), which used worked-
Msebenzi Rabaza, Joleen Hamilton
doaj   +1 more source

Generalized Kahler geometry and gerbes

, 2008
We introduce and study the notion of a biholomorphic gerbe with connection. The biholomorphic gerbe provides a natural geometrical framework for generalized Kahler geometry in a manner analogous to the way a holomorphic line bundle is related to Kahler ...
and Maxim Zabzine, B. Lawson, C.M. Hull, Chris M Hull, D.M. Belov, D.S. Chatterjee, J. Giraud, J.-L. Brylinski, M. Gualtieri, M. Gualtieri, M.K. Murray, Martin Roček, N. Hitchin, N.J. Hitchin, N.M.J. Woodhouse, P. Aschieri, Rikard von Unge, U. Lindström, U. Lindström, Ulf Lindström   +19 more
core   +1 more source

Infrared spectroscopy of NGC 1068: Probing the obscured ionizing AGN continuum [PDF]

, 1998
The ISO-SWS 2.5-45 um infrared spectroscopic observations of the nucleus of the Seyfert 2 galaxy NGC 1068 (see companion paper) are combined with a compilation of UV to IR narrow emission line data to determine the spectral energy distribution (SED) of ...
Amiel Sternberg, Antonucci R., Binette L., Binette L., Binette L., Boksenberg A., Brinkmann W., Brunner H., Butler K., Dieter Lutz, Eckhard Sturm, Erkens U., Galavis M. E., Hagai Netzer, Halpern J. P., Kormendy J., Lennon D. J., Lutz D., Lutz D., Malkan M. A., Marconi A., Mendoza C., Moorwood A. F. M., Moorwood A. F. M., Netzer H., Oliva E., Oliva E., Oliva E., Osterbrock D. E., Pedlar A., Pedlar A., Penston M. V., Penston M. V., Penston M. V., Perez E., Pottasch S. R., Puchnarewicz E. M., Reconditi M., Reinhard Genzel, Robinson A., Roche P. F., Schulz H., Schulz H., Seaton M. J., Shakura N. I., Storchi-Bergmann Th., Tal Alexander, Viegas S. M., Walter R., Walter R., Wu C.-C., Yoshida M.   +51 more
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Epipolar geometry based on line similarity [PDF]

2016 23rd International Conference on Pattern Recognition (ICPR), 2016
ICPR 2016, Cancun, Dec ...
Shmuel Peleg, Gil Ben-Artzi, Michael Werman, Tavi Halperin   +3 more
openaire   +3 more sources

Algorithmic Modified Denavit–Hartenberg Modeling for Robotic Manipulators Using Line Geometry

Applied Sciences
This paper proposes a kinematic modeling method for robotic manipulators by extracting the modified Denavit–Hartenberg (MDH) parameters using line geometry.
Minchang Sung, Youngjin Choi
doaj   +1 more source