Results 281 to 290 of about 6,949,702 (330)

Single-unit artificial intervertebral disc

Journal of Neurosurgery: Spine, 2004
Object. The authors describe a new type of artificial disc called a single-unit artificial disc (SUAD). It is a single-unit disc without components, and there is no fixation system with which to maintain it in the disc space. It is theorized that its shape, hardness, and surface consistency, together with the compressive force exerted by the body's ...
Russell, Alberts, Arun-Angelo, Patil, Dongxue, Zhou   +2 more
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Tetrahedral cages for unit discs

Advances in Geometry, 2021
Abstract A cage is the 1-skeleton of a convex polytope in ℝ3. A cage is said to hold a set if the set cannot be continuously moved to a distant location, remaining congruent to itself and disjoint from the cage. In how many positions can (compact 2-dimensional) unit discs be held by a tetrahedral cage?
Yuan, Liping, Zamfirescu, Tudor, Zhang, Yanxue   +2 more
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On the odd area of the unit disc

Israel Journal of Mathematics, 2023
Given a family \({\mathcal F}\) of measurable sets in the plane, one denotes by \(OA({\mathcal F })\) the area of the set of all points in the plane that belong to an odd number of members in \({\mathcal F}\). The infimum of \(OA({\mathcal F })\) over all families \({\mathcal F}\) consisting of an odd number of translates of a given measurable set \(B\)
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Derivative estimates on the unit disc

2002
Abstract Let there be given a polynomial of degree at most n and some meaningful information about the kind of values it takes on a prescribed subset ε of the complex plane. What can we say about the size of its derivative? It will soon become clear that this question is closely related to the one considered in the two preceding chapters.
Q I Rahman, G Schmeisser
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Integral Representations of Bargmann Type for the $$\beta $$-Modified Bergman Space on Punctured Unit Disc

Bulletin of the Malaysian Mathematical Sciences Society, 2022
A. Ghanmi, Safa Snoun
semanticscholar   +1 more source

On commuting holomorphic maps in the unit disc of

Complex Variables, Theory and Application: An International Journal, 1996
A connection between the study of commuting holomorphic maps of the unit disc Δ of into itself and the study of holomorphic maps of Δ into itself that belong to the same pseudo-iteration semigroup (in the sense of Cowen) is investigated. The open (and difficult) case in which the maps have derivative 1 at the Wolff point τ ∂ e Δ is considered in this ...
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Denitrification with a bacterial disc unit

Water Research, 1975
Abstract An enclosed rotating disc unit was operated anaerobically as a denitrifying system, with methanol as the hydrogen donor. As the bacterial population became established, denitrification rate increased by 1·5 mg NO 3 − —N reduced m −2 h −2 , to a maximum rate of 260 mg NO 3 − —N reduced m −2 h −1 .
T.R Davies, W.A Pretorius
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Continuous Semigroups of Holomorphic Self-maps of the Unit Disc

, 2020
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal   +2 more
semanticscholar   +1 more source

Peak set on the unit disc

Technical Transactions. Fundamental Sciences = Czasopismo Techniczne. Nauki Podstawowe, 2016
Pokażemy, że dowolny podzbiór zwarty K miary zero w brzegu dysku jednostkowego jest zbiorem szczytowym dla A(D).
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Univalent rational functions on the unit disc

2012
This paper considers the problem of determining when a rational function is univalent in the unit disc D. Let h(z) be a rational function with poles at \(1/\beta_ j\), \(j=1,...,p\). Assuming that each \(| \beta_ j| \leq 1\) it is shown that \[ (h(z)-h(\zeta))/(z- \zeta)=h'(0)A(\zeta)Q(z,\zeta)\prod^{p}_{j=1}(1-\beta_ jz)^{- 1}(1-\beta_ j\zeta)^{-1} \]
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