4 citations · 4 across the 6 of their papers we have counts for
6 papers
Rotation of a simplex within another one
Shuzo Izumi
We are interested in the naive problem whether we can move a solid object in a solid box or not. We may restrict the movement to rotation. In the case we can rotate, the centre and…
Sufficiency of simplex inequalities
Shuzo Izumi
Let z_0,...,z_n be the (n-1)-dimensional volumes of facets of an n-simplex. Then we have the simplex inequalities: z_p < z_0+...+\check{z}_p+...+z_n (0 =< p =< n), generalizations…
Spaces of polynomial functions of bounded degrees on an embedded manifold and their duals
Shuzo Izumi
Let denote the algebra of holomorphic functions on an open subset and its finite-dimensional vector subspace. By th…
Diophantine inequality for equicharacteristic excellent Henselian local domains
Hirotada Ito, Shuzo Izumi
G. Rond has proved a Diophantine type inequality for the field of quotients of the convergent or formal power series ring in multivariables. We generalize his theorem to the field…
A formula for ideal lattices of general commutative rings
Takashi Aoki, Shuzo Izumi, Yasuo Ohno +1
Let S be a set of n ideals of a commutative ring A. Let G_{even} (respectively G_{odd}) denote the product of all the sums of even (respectively odd) number of ideals of S. If n<7…
Restrictions of smooth functions to a closed subset
Shuzo Izumi
We first provide an approach to the recent conjecture of Bierstone-Milman-Pawlucki on Whitney's old problem on smooth extendability of functions defined on a closed subset of a Euc…