4 papers · 1 filter
Construction of smooth rhythms through a monotone invariant measure
Fumio Hazama
The present article introduces the notion of quasi-smoothness of marked rhythms through a certain transformation , called reformation map. A marked rhythm consists of a rhythm…
Boolean polynomial expression of the discrete average on the space of rhythms
Fumio Hazama
An infinite family of Boolean polynomials which correspond to the discrete average maps, defined in [2], is constructed and their algebraic and combinatorial properties are investi…
Iterative method of construction of good rhythms
Fumio Hazama
On the space of rhythms of arbitrary length with a fixed number of onsets, a self map is constructed. It is shown that for any rhythm of the space there exists a n…
Fixed-Point Problems in Discrete Tomography: Case of Square Windows
Fumio Hazama
A kind of fixed-point problem in the area of discrete tomography is proposed and investigated. Our chief concern in this paper is the case of square windows in the plane. Dealing w…