2 citations · 7 across the 5 of their papers we have counts for
5 papers
Packing theory derived from phyllotaxis and products of linear forms 0
S. E. Graiff Zurita, B. Kane, R. Oishi-Tomiyasu
\textit{Parastichies} are spiral patterns observed in plants and numerical patterns generated using golden angle method. We generalize this method by using Markoff theory and the t…
Distribution rules of systematic absence and generalized de Wolff figure of merit applied to EBSD ab-initio indexing
R. Oishi-Tomiyasu, T. Tanaka, J. Nakagawa
For EBSD ab-initio indexing, a new method that adopts several methods originally invented for powder indexing, is reported. Distribution rules of systematic absence and error-stabl…
On ternary positive-definite quadratic forms with the same representations over Z
Ryoko Oishi-Tomiyasu
Kaplansky conjectured that if two positive-definite real ternary quadratic forms have perfectly identical representations over , they are constant multiples of regular…
Distribution rules of crystallographic systematic absences on the Conway topograph and their application to powder auto-indexing
Ryoko Oishi-Tomiyasu
Powder auto-indexing is the crystallographic problem of lattice determination from an average theta series. There, in addition to all the multiplicities, the lengths of part of lat…
On some algebraic properties of CM-types of CM-fields and their reflexes
Ryoko Oishi-Tomiyasu
The purpose of this paper is to show that the reflex fields of a given CM-field is equipped with a certain combinatorial structure that has not been exploited yet. We prove three t…