Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Rolfdieter Frank"'
Autor:
Nicolas Damm, Michael Kosterhon, Andreas Müller, Sven R. Kantelhardt, Robert Rockenfeller, Karin Gruber, Rolfdieter Frank
Publikováno v:
Biomechanics and Modeling in Mechanobiology
Lumbar spine biomechanics during the forward-bending of the upper body (flexion) are well investigated by both in vivo and in vitro experiments. In both cases, the experimentally observed relative motion of vertebral bodies can be used to calculate t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f346b201a15f03e24310bd4e0b478c2
https://pubmed.ncbi.nlm.nih.gov/32939615
https://pubmed.ncbi.nlm.nih.gov/32939615
Autor:
Rolfdieter Frank, Harald Riede
Publikováno v:
Mathematische Semesterberichte. 61:145-151
Das im Titel genannte Integral beantwortet die Frage nach dem Volumen des Schnittes eines n-dimensionalen Wurfels mit einer Hyperebene. Der Artikel leistet die Umwandlung in eine elementare Schnittformel und gibt Beispiele fur ihre Anwendung.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7ac75d6cfcde23191e4cfb529807719
https://doi.org/10.1007/s00591-012-0115-4
https://doi.org/10.1007/s00591-012-0115-4
Autor:
Rolfdieter Frank, Harald Riede
We deduce an elementary formula for the volume of arbitrary hyperplane sections of the n-dimensional cube and show its application in various dimensions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63b3e27e19b05c8380f60fb3aadb8a18
Autor:
Rolfdieter Frank
Publikováno v:
Geometriae Dedicata. 44
A projection is a mapping between linear spaces, which preserves collinearity, and whose restriction to any line is injective or constant. Motivated by applications in photogrammetry, we prove that any projection from a subset M of a (little) Desargu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b80b6f8d892201d653a769b761d18087
https://doi.org/10.1007/bf00147744
https://doi.org/10.1007/bf00147744
Autor:
Helmut Mäurer, Rolfdieter Frank
Publikováno v:
Geometriae Dedicata. 22:225-233
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08fadd527b6ba6afe115e036a34e184b
https://doi.org/10.1007/bf00181268
https://doi.org/10.1007/bf00181268
Autor:
Rolfdieter Frank
Publikováno v:
Journal of Geometry. 22:158-166
The “extended reflection group” of a metric vector space was introduced by Nolte [10] to get a group theoretical representation of the corresponding protective metric geometry (in the sense of Schroder [12]). Nolte characterizes the extended. ref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f58b1b05438c2d5903be16fd7fb4cf76
https://doi.org/10.1007/bf01222840
https://doi.org/10.1007/bf01222840
Autor:
Rolfdieter Frank
Publikováno v:
Journal of Combinatorial Theory, Series A. 48:266-269
We show that a linear space can be embedded into a projective space, if all of its planes can be embedded into projective planes such that the set of “new” points on each “old” line is not too large.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5686c78adfb4d6c5ce3a9b3e7070e17
https://doi.org/10.1016/0097-3165(88)90014-3
https://doi.org/10.1016/0097-3165(88)90014-3
Autor:
Erich W. Ellers, Rolfdieter Frank
Publikováno v:
Journal of Geometry. 31:69-78
Let R be a commutative local ring and M a free R-module of rank n. The module M is endowed with a metric structure given by a sesquilinear form or by a quadratic form. We show, every isometry π of M is a product of quasireflections or transvections.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e755bf621bf73a329b2a61c6c20195f
https://doi.org/10.1007/bf01222386
https://doi.org/10.1007/bf01222386
Autor:
Rolfdieter Frank
Publikováno v:
Geometriae Dedicata. 16
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8378fe43a17241a8a99adca6b4262846
https://doi.org/10.1007/bf00146827
https://doi.org/10.1007/bf00146827
Autor:
Rolfdieter Frank
Publisher Summary This chapter proves that ordered linear spaces are locally projective. Pasch proved that geometries satisfying certain axioms of incidence and of order, which are true—for example in the geometry induced on a convex open subset of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6da80fdd67fe916694a844cde0eb914f
https://doi.org/10.1016/s0167-5060(08)70236-x
https://doi.org/10.1016/s0167-5060(08)70236-x