Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Jay P. Fillmore"'
Autor:
Samuel R. Buss, Jay P. Fillmore
Publikováno v:
ACM Transactions on Graphics. 20:95-126
This article introduces a method for computing weighted averages on spheres based on least squares minimization that respects spherical distance. We prove existence and uniqueness properties of the weighted averages, and give fast iterative algorithm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0bc90f64409ce8b635f603bd51ffea2c
https://doi.org/10.1145/502122.502124
https://doi.org/10.1145/502122.502124
Publikováno v:
SIAM Review. 43:694-706
The exponential of a matrix and the spectral decomposition of a matrix can be computed knowing nothing more than the eigenvalues of the matrix and the Cayley--Hamilton theorem. The arrangement of the ideas in this paper is simple enough to be taught
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adb2f4118be14056db33155bac3697cd
https://doi.org/10.1137/s0036144599362406
https://doi.org/10.1137/s0036144599362406
Autor:
Arthur Springer, Jay P. Fillmore
Publikováno v:
Geometriae Dedicata. 55:175-193
All cycles (points, oriented circles, and oriented lines of a Euclidean plane) are represented by points of a three dimensional quadric in four dimensional real projective space. The intersection of this quadric with primes and planes are, respective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21542b6c8220dc8447ef7dd3fa5f8db2
https://doi.org/10.1007/bf01264928
https://doi.org/10.1007/bf01264928
Autor:
Jay P. Fillmore, Arthur Springer
Publikováno v:
Journal of Geometry. 52:74-90
Examples of the use of Laguerre transformations to discover theorems in the Euclidean and Minkowski planes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ba6d71d15ca34b6fd35251285c718c1
https://doi.org/10.1007/bf01406828
https://doi.org/10.1007/bf01406828
Autor:
Jay P. Fillmore, Arthur Springer
Publikováno v:
International Journal of Theoretical Physics. 29:225-246
The space of 2-by-2 Hermitian matrices is isometric to Minkowski space. This is commonly used to exhibit the groupSL(2, ℂ) as a twofold cover of the identity component of the Lorentz group. That these Hermitian matrices also represent equations of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ddf2566518479c485b3186052cc59430
https://doi.org/10.1007/bf00673627
https://doi.org/10.1007/bf00673627
Autor:
S. G. Williamson, Jay P. Fillmore
Publikováno v:
SIAM Journal on Computing. 5:297-304
This paper discusses determination of the ranks, in lexicographic lists, of the symmetries and proper symmetries of the n-cube and of its colorations by r colors, up to these symmetries.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b83c2d2d6da62167208c5048081ab57b
https://doi.org/10.1137/0205023
https://doi.org/10.1137/0205023
Autor:
S. G. Williamson, Jay P. Fillmore
Publikováno v:
SIAM Journal on Computing. 3:41-55
A basic algorithm for solving many discrete problems is the so-called “backtracking” algorithm. The basic problem is that of generating the elements of a subset $S_0 $ of a finite set in an efficient manner. If a group G acts on $S_0 $, then one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78cb573f5613f7b5eaf89a6b51ecb45c
https://doi.org/10.1137/0203004
https://doi.org/10.1137/0203004
Autor:
Jay P. Fillmore
Publikováno v:
IEEE Computer Graphics and Applications. 4:30-33
Properly establishing the relation between linear algebra and geometry makes it easier to obtain the three-by-three orthogonal matrix that describes a specified rotation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62b7cad6f8888e0aef608b2865f4469b
https://doi.org/10.1109/mcg.1984.275935
https://doi.org/10.1109/mcg.1984.275935
Autor:
Jay P. Fillmore
Publikováno v:
Proceedings of the American Mathematical Society. 78:551-554
The density for circles in the Eucidean plane, which is invariant under the group of similitudes, is in fact invariant under the inversive group. The fundamental invariants of the inversive plane, angle and inversive distance, can be obtained from th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b40d062fb1b78d1b460437cdba855cd
https://doi.org/10.1090/s0002-9939-1980-0556631-9
https://doi.org/10.1090/s0002-9939-1980-0556631-9
Autor:
Jay P. Fillmore
Publikováno v:
International Journal of Theoretical Physics. 16:937-963
The space of lines in a Hermitean quadric of signature (2, 2) in complex projective three-space is a quadric of signature (2, 4) in real projective five-space, the conformal compactification of Minkowski space. This geometric fact leads to the classi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4953d56731a95aa0f35acd2f080cc975
https://doi.org/10.1007/bf01806363
https://doi.org/10.1007/bf01806363