Two musical paths to the Farey series and devil's staircase

Autor: Julyan H. E. Cartwright, Oreste Piro, Richard J. Krantz, Diego L. González, Jack Douthett

Publikováno v: Journal of mathematics & music
4 (2010): 57–74. doi:10.1080/17459737.2010.485001
info:cnr-pdr/source/autori:Cartwright JHE; Douthett J; Gonzalez D L; Krantz R; and Piro O/titolo:Two Musical Paths to the Farey Series and Devil’s Staircase/doi:10.1080%2F17459737.2010.485001/rivista:Journal of mathematics & music (Print)/anno:2010/pagina_da:57/pagina_a:74/intervallo_pagine:57–74/volume:4

At the 2007 Helmholtz Workshop in Berlin, two seemingly disparate papers were presented. One of these, by Julyan Cartwright, Diego González, and Oreste Piro, dealt with a nonlinear dynamical model for pitch perception based on frequency ratios and f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9d2f947a876408cf7bcf671ee8c14ea
https://doi.org/10.1080/17459737.2010.485001

Maximally even sets and configurations: common threads in mathematics, physics, and music

Autor: Jack Douthett, Richard J. Krantz

Publikováno v: Journal of Combinatorial Optimization. 14:385-410

Convex (concave) interaction weighting functions are combined with circular configurations of black and white sites to determine configurations that have minimum (maximum) weight. These configurations are called maximally even configurations. It is s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::eef1e34fc1f485ed036a220929a9d9e6
https://doi.org/10.1007/s10878-006-9041-5

Maximally even sets and the devil’s-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction

Autor: Steven D. Doty, Richard J. Krantz, Jack Douthett

Publikováno v: Journal of Mathematical Physics. 39:4675-4682

By extending the formalism of maximally even sets to the one-dimensional antiferromagnetic Ising model with arbitrary-range interaction in an applied magnetic field it is shown that the system exhibits a devil’s-staircase magnetic phase diagram. A

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::711d1577f9d77e6816beb8d5fed9f55d
https://doi.org/10.1063/1.532530

Total Dose-induced Charge Buildup In Nitrided-oxide MOS Devices

Autor: J.S. Cable, J. Scarpulla, Richard J. Krantz

Publikováno v: IEEE Transactions on Nuclear Science. 38:1746-1753

Nitrided oxides and reoxidized nitrided oxides processed at various nitridation temperatures for various nitridation times have been irradiated. The total dose response of these nitrided oxides has been analyzed and compared to that of radiation-hard

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f9cc20c21c8e3ce5131cc718fd28b38
https://doi.org/10.1109/tns.1991.574224

The role of acceptor density on the high channel carrier density I–V characteristics of AlGaAs/GaAs MODFETs

Autor: Richard J. Krantz, Walter L. Bloss

Publikováno v: Solid-State Electronics. 33:941-945

A triangular-well, one-subband, depletion layer model has been developed for the high density region of a MODFET. The high density operation is defined as when the channel carrier density, in the entire channel, is equal to or greater than m1kT/πh2.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8223731f573c694cdb8faf3851a5789d
https://doi.org/10.1016/0038-1101(90)90076-q