Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Mark Helman"'
Publikováno v:
Journal of Dynamical and Control Systems. 29:157-184
We study center power with respect to circles derived from Poncelet 3-periodics (triangles) in a generic pair of ellipses as well as loci of their triangle centers. We show that (i) for any concentric pair, the power of the center with respect to eit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea3b4cd727e854363d7a00fea059c675
https://doi.org/10.1007/s10883-021-09580-z
https://doi.org/10.1007/s10883-021-09580-z
Publikováno v:
Journal of Differential Equations. 282:104-126
We consider disordered Hamiltonians given by the Laplace operator subject to arbitrary random self-adjoint singular perturbations supported on random discrete subsets of the real line. Under minimal assumptions on the type of disorder, we prove the f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::826620bba79c56c7f2c6781be0f50e04
https://doi.org/10.1016/j.jde.2021.01.044
https://doi.org/10.1016/j.jde.2021.01.044
We present a theory which predicts if the locus of a triangle center over certain Poncelet triangle families is a conic or not. We consider families interscribed in (i) the confocal pair and (ii) an outer ellipse and an inner concentric circular caus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03fa51ce0b8617a10b2c49260d9278d3
http://arxiv.org/abs/2106.00715
http://arxiv.org/abs/2106.00715
Inverting the vertices of elliptic billiard N-periodics with respect to a circle centered on one focus yields a new "focus-inversive" family inscribed in Pascal's Lima\c{c}on. The following are some of its surprising invariants: (i) perimeter, (ii) s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f97ba3909434dfaefffd6f0ce30d1f47
http://arxiv.org/abs/2012.03020
http://arxiv.org/abs/2012.03020
We describe invariants of centers of ellipse-inscribed triangle families with two vertices fixed to the ellipse boundary and a third one which sweeps it. We prove that: (i) if a triangle center is a fixed affine combination of barycenter and orthocen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4bf8656780965eb59f47b8a7a96ce685
Publikováno v:
KoG
Volume 24.
Issue 24.
Volume 24.
Issue 24.
The Negative Pedal Curve (NPC) of the Ellipse with respect to a boundary point M is a 3-cusp closed-curve which is the affine image of the Steiner Deltoid. Over all M the family has invariant area and displays an array of interesting properties.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______951::3edf7420dacf97e10a88c18e8cf5bf59
https://hrcak.srce.hr/248410
https://hrcak.srce.hr/248410
The Negative Pedal Curve (NPC) of the Ellipse with respect to a boundary point M is a 3-cusp closed-curve which is the affine image of the Steiner Deltoid. Over all M the family has invariant area and displays an array of interesting properties.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257687a6763efda53d722c677a3c3ef6
Autor:
Mark Helman, Stefano Mazzoli
Publikováno v:
Active Continental Margins — Present and Past ISBN: 9783662377093
A detailed relative motion picture for the Neogene Africa—Europe plate kinematics is presented. The kinematic reconstruction was carried out using the finite difference solution between the rotation parameters determined for Anomalies 7 to 2 in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94d2e133454d2abb70e7c4efc5502812
https://doi.org/10.1007/978-3-662-38521-0_19
https://doi.org/10.1007/978-3-662-38521-0_19