Information and Media Technologies 10(3) 440-448 2015年9月 [査読有り]
Dichromats are color-blind persons missing one of the three cone systems. We consider a computer simulation of color confusion for dichromats for any colors on any video device, which transforms color in each pixel into a representative color amon...
J. Phys. A: Math. Theor. 48 265205(17pp)-49 2015年5月 [査読有り]
Saari's homographic conjecture claims that, in the N-body problem under the homogeneous potential, U=α^{−1}∑m_im_j/r^{α_{ij}} for α≠0, a motion having constant configurational measure μ=I^{α/2}U is homographic, where I represents the moment of ine...
Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki and Tetsuya Taniguchi
Journal of Physics A: Mathematical and Theoretical 45 345202(10pp) 2012年8月 [査読有り]
Saari’s homographic conjecture in an N-body problem under the Newton gravity is as follows. Configurational measure μ =√I U, which is the product of the square root of the moment of inertia I = (Σmk)-1Σmimj</S...
Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki and Tetsuya Taniguchi
Journal of Physics A: Mathematical and Theoretical 45 045208(10pp) 2012年2月 [査読有り]
Saari conjectured that the N-body motion with a constant configurational measure is a motion with fixed shape. Here, the configurational measure μ is a scale-invariant product of the moment of inertia I = ∑kmk|qk|<...
We describe computer algorithms that produce the complete set of isohedral tilings by n-omino or n-iamond tiles in which the tiles are fundamental domains and the tilings have 3-, 4-, or 6-fold rotational symmetry. The symmetry groups of such tili...
XVIIth International Congress on Mathematical Physics (ICMP12), Aalborg, Denmark 2012年8月7日
Up to now, we have proved the Saari's homographic conjecture
for planar equal mass three-body problem under the potential U=Σ 1/rijα with α=1, 2. In my talk,
I will reformulate our proof using the polar coordinates on the sha...
Proof of Saari's homographic conjecture for planar equal-mass three-body problem II
XVIIth International Congress on Mathematical Physics (ICMP12), Aalborg, Denmark 2012年8月7日
Our chief goal is to prove Saari's homographic conjecture for a planar equal-mass three-body problem under the Newtonian potential. Two shape variables are helpful to achieve our aim. One variable is the configurational measure μ=√I U, where I is ...
Proof of Saari's homographic conjecture for planar equal-mass three-body problem I
XVIIth International Congress on Mathematical Physics (ICMP12), Aalborg, Denmark 2012年8月7日
Saari conjectured that the N-body motion with a constant configurational measure is a motion with fixed shape. Here, the configurational measure μ is a scale invariant product of the moment of inertia I=Σkmk|qk|<su...
Fixed Center of Mass Configurations of Three Points in Given Curves
Ozaki H，Fukuda H，Fujiwara T
The 7th Japan Conference on Computational Geometry and Graphs 2009年11月12日
Symmetry of Isohedral Tilings of Polyominoes and Polyiamonds as Fundamental Domains
Fukuda H，Kanomata C，Mutoh N，Nakamura G，Schattschneider D
The 7th Japan Conference on Computational Geometry and Graphs 2009年11月11日
Definition of free dynamics and the physical S-matrix in the multichannel hyperradial adiabatic scattering
Matveenko A，Fukuda H，Alt E
19th International IUPAP Conference on Few-Body Problems in Physics 2009年9月4日
Three-Body problem on Given Curve
Ozaki H，Fukuda H，Fujiwara T
The internatonal Bogolyubov conference "Problems of theoretical and mathematical physics" To the 100th anniversary of N. N. Bogolyubov's birth 2009年8月24日
Definition of free hyperradial dynamics
Matveenko A，Fukuda H，Alt E
The internatonal Bogolyubov conference "Problems of theoretical and mathematical physics" To the 100th anniversary of N. N. Bogolyubov's birth 2009年8月24日
与えられた曲線上の三体コレオグラフィー
尾崎浩司，福田 宏，藤原俊朗
第41回 天体力学N体力学研究会 2009年3月14日
Quartic curve does not support the figure-eight solution under any homogeneous potential
Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki
International Symposium, Hamsys-2008 2008年7月9日
個別学習と協調学習の共存を実現する会計学習支援システムの開発
林俊邦・福田宏・上野雄史・小津稚加子
第14回大学教育研究フォーラム（京都大学） 2008年3月26日
Low energy p-bar + H physics in hyperspheroidal coordinates International Conference on Muon Catalyzed Fusion and Related Topics.（muCF-07）
