Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Toru Ohmoto"'
Autor:
Toru Ohmoto, Naomichi Nakajima
Publikováno v:
Information Geometry. 4:31-64
The dually flat structure introduced by Amari-Nagaoka is highlighted in information geometry and related fields. In practical applications, however, the underlying pseudo-Riemannian metric may often be degenerate, and such an excellent geometric stru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69725eabda7f51d3d4d0e08a665cac7a
https://doi.org/10.1007/s41884-021-00044-8
https://doi.org/10.1007/s41884-021-00044-8
Autor:
Kazuma Tateiri, Toru Ohmoto
In the present paper, we propose a novel generalization of the celebrated MMP algorithm in order to find the wavefront propagation and the cut-locus on a convex polyhedron with an emphasis on actual implementation for instantaneous visualization and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a42ba6108253f41234726ebcc5e2f13
http://arxiv.org/abs/2112.06164
http://arxiv.org/abs/2112.06164
Autor:
Junki Tanaka, Toru Ohmoto
Publikováno v:
Journal of Singularities.
Any ruled surface in Euclidean 3-space is described as a curve of unit dual vectors in the algebra of dual quaternions (=the even Clifford algebra of type (0,3,1)). Combining this classical framework and Singularity Theory, we characterize local diff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fdbe71cda7050cca10315fd772f7729
https://doi.org/10.5427/jsing.2020.21o
https://doi.org/10.5427/jsing.2020.21o
Autor:
Masahiro Shiota, Toru Ohmoto
Publikováno v:
Journal of Topology. 10:765-775
We show that every semialgebraic set admits a semialgebraic triangulation such that each closed simplex is C1 differentiable. As an application, we give a straightforward definition of the integration ∫Xω over a compact semialgebraic subset X of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b3656bef032364977491375ce9e06b0
https://doi.org/10.1112/topo.12024
https://doi.org/10.1112/topo.12024
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 48:623-639
We present a local classification of smooth surfaces in $${\mathbb {P}}^3$$ in terms of the singularity types (of codimension $$\le $$ 4) of their central projections to a plane. Based on our classification result, we also give exact normal forms to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55bc15accd18fedfeaddc18c001ec71b
https://doi.org/10.1007/s00574-017-0036-x
https://doi.org/10.1007/s00574-017-0036-x
Publikováno v:
The Quarterly Journal of Mathematics. 66:369-391
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44557c6cca60504d9f0a41f0a2bd328a
https://doi.org/10.1093/qmath/hau013
https://doi.org/10.1093/qmath/hau013
Autor:
Toru Ohmoto
Publikováno v:
School on Real and Complex Singularities in São Carlos, 2012, R. N. Araújo dos Santos, V. H. Jorge Pérez, T. Nishimura and O. Saeki, eds. (Tokyo: Mathematical Society of Japan, 2016)
We introduce a new branch of the Thom polynomial theory for local and multi-singularities of maps.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7089bca54099e9bdc6f21b162890967f
https://projecteuclid.org/euclid.aspm/1538621983
https://projecteuclid.org/euclid.aspm/1538621983
Autor:
Toru Ohmoto
Publikováno v:
Real and Complex Singularities. :143-159
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8640d7e23703c1f98792cd1536b2c619
https://doi.org/10.1090/conm/569/11246
https://doi.org/10.1090/conm/569/11246
Autor:
Toru Ohmoto
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 144:423-438
In this paper, for a possibly singular complex variety X, generating functions of total orbifold Chern homology classes of the symmetric products SnX are given. These are very natural “class versions” of known generating function formulae of (gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::584e688682242c201a3ae74aede249ea
https://doi.org/10.1017/s0305004107000898
https://doi.org/10.1017/s0305004107000898