Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Paul D. Humke"'
Publikováno v:
The American Mathematical Monthly. 128:99-114
The purpose of this article is to take a fresh look at the problem of finding an arithmetic representation of Hilbert’s curve, building on the same initial observations as many have done previously...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a6f49df2b5a6b94b5297e5ee94abfc8
https://doi.org/10.1080/00029890.2021.1845541
https://doi.org/10.1080/00029890.2021.1845541
Autor:
Paul D. Humke
Publikováno v:
Real Analysis Exchange. 46
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::191e30e9ccf475d109be19317fa6b4ff
https://doi.org/10.14321/realanalexch.46.2.0301
https://doi.org/10.14321/realanalexch.46.2.0301
Publikováno v:
European Journal of Mathematics. 5:150-154
We use elementary iterated function techniques to show there is a function in C[0, 1] whose iterated derivatives are dense in C[0, 1] and provide several related results.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::694015a913b8ba4d8c3517af1eea1f25
https://doi.org/10.1007/s40879-018-0301-6
https://doi.org/10.1007/s40879-018-0301-6
Publikováno v:
Journal of Mathematical Analysis and Applications. 500:125113
In this paper we investigate the nature and existence of (at most) n-to-1 space filling curves f that map [ 0 , 1 ] onto [ 0 , 1 ] 2 . In particular, we find an at most 3-to-1 space filling curve similar to the at most 4-to-1 Hilbert Curve and show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7885f04ad16b3ac2db808b95278216cf
https://doi.org/10.1016/j.jmaa.2021.125113
https://doi.org/10.1016/j.jmaa.2021.125113
Autor:
Michael J. Evans1 mjevans@wlu.edu, Paul D. Humke2 humke@stolaf.edu
Publikováno v:
Acta Mathematica Hungarica. 2004, Vol. 103 Issue 4, p303-312. 10p.
Autor:
Michael J. Evans, Paul D. Humke
Publikováno v:
Czechoslovak Mathematical Journal. 60:549-569
Among the many characterizations of the class of Baire one, Darboux realvalued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they y
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4b3953beb8c833c4f7b502137532c2a
https://doi.org/10.1007/s10587-010-0036-0
https://doi.org/10.1007/s10587-010-0036-0
Publikováno v:
Topology and its Applications. 157(5):954-960
Let M be the Cantor space or an n -dimensional manifold with C ( M , M ) the set of continuous self-maps of M , and S α ( M ) = { ( x , f ) ∈ M × C ( M , M ) : ω ( x , f ) is an α - adic adding machine } . We prove the following: (1) If α ≠
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30df0a6912d1ef5ff7df8ae32c895a8f
Autor:
Michael J. Evans, Paul D. Humke
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 59:47-51
We investigate Darboux-like properties for real-valued, Baire one functions defined on Euclidean n-space which belong to the classes of Gibson and weakly Gibson functions recently introduced and investigated by Kenneth Kellum.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc535ec5bb08ca5761ce8def72834866
https://doi.org/10.1007/s12215-010-0002-6
https://doi.org/10.1007/s12215-010-0002-6
Autor:
Paul D. Humke, Michael J. Evans
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 58:287-296
In 1907 W. H. Young classified the real-valued Baire one functions on the line which have the Darboux (intermediate-value) property as those which are bilaterally approachable. Here we investigate generalizations of this theorem to the setting of rea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f80ee111d1f9959eb703e301085d610
https://doi.org/10.1007/s12215-009-0023-1
https://doi.org/10.1007/s12215-009-0023-1
Autor:
Michael J. Evans, Paul D. Humke
Publikováno v:
The American Mathematical Monthly. 116:451-455
(2009). Revisiting a Century-Old Characterization of Baire Class One, Darboux Functions. The American Mathematical Monthly: Vol. 116, No. 5, pp. 451-455.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8bda7ab1c82521044158d32b2c0a9ac
https://doi.org/10.1080/00029890.2009.11920959
https://doi.org/10.1080/00029890.2009.11920959