منابع مشابه
A Dualizable Representation for Imbedded Graphs
A new representation is described for graphs imbedded in pseudomanifoldr. The graphs may have loops and parallel edges, and they may be disconnected. It is shown that our representation has a well-dejined dual that naturally extends the definition of surface duality. This representation is easily transformed to a data structure with a set of operators for modifying a graph, a set of query opera...
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The dynamic patterning of the plant hormone auxin and its efflux facilitator the PIN protein are the key regulators for the spatial and temporal organization of plant development. In particular auxin induces the polar localization of its own efflux facilitator. Due to this positive feedback, auxin flow is directed and patterns of auxin and PIN arise. During the earliest stage of vein initiation...
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We construct examples of potentials V (x) satisfying |V (x)| ≤ h(x) 1+x , where the function h(x) is growing arbitrarily slowly, such that the corresponding Schrödinger operator has imbedded singular continuous spectrum. This solves one of the fifteen “twenty-first century” problems for Schrödinger operators posed by Barry Simon in [22]. The construction also provides the first example of a Sch...
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A lthough the key principles of external fixation have changed little over the years, there remains a significant amount of variation in fixation methods and postoperative care. In particular, use and management of halfpins intended for prolonged reconstruction are the subject of strong opinions and intense debate. Half-pins are commonly available in stainless steel and titanium. They are also ...
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The nonlinear dynamics of magnetic tearing islands imbedded in a pressure gradient driven turbulence is investigated numerically in a reduced magnetohydrodynamic model. The study reveals regimes where the linear and nonlinear phases of the tearing instability are controlled by the properties of the pressure gradient. In these regimes, the interplay between the pressure and the magnetic flux det...
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ژورنال
عنوان ژورنال: Journal of the American Medical Association
سال: 1908
ISSN: 0002-9955
DOI: 10.1001/jama.1908.02540210053016