منابع مشابه
Concordance and 1-loop clovers
We show that surgery on a connected clover (or clasper) with at least one loop preserves the concordance class of a knot. Surgery on a slightly more special class of clovers preserves invertible concordance. We also show that the converse is false. Similar results hold for clovers with at least two loops vs. S -equivalence. AMS Classi cation 57N10; 57M25
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The m-clover is the plane curve defined by the polar equation rm/2 = cos (m2 θ). In this article we extend a well-known derivation of the Wallis product to derive a generalized Wallis product for arc lengths of m-clovers.
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Since 1956, the pMDI has become the most commonly prescribed and used aerosol device in the world. While concerns about global warming have led to a worldwide ban of CFCs, new HFA-propelled pMDIs are in development, requiring an evolutionary transition in the technology. The phase-out of CFC-propelled pMDIs has stimulated the development of more efficient DPIs, but issues such as cost of device...
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Inhaled drug delivery is an important part of the armamentarium of clinicians caring for patients with pulmonary disease. An increasing variety of metered-dose inhalers and dry powder inhalers are becoming available. This has been driven by the development of new formulations and the impending ban on chlorofluorocarbon propellants. The result is a proliferation of devices, resulting in a confus...
متن کاملGeometry and Number Theory on Clovers
1. INTRODUCTION. In 1826 Abel discovered that the lemniscate, the curve (x 2 + y 2) 2 = x 2 − y 2 pictured in Figure 1, can be divided into n arcs of equal length by straightedge and compass if and only if n is a power of 2 times a product of distinct Fermat primes [1, p. 314]. By an earlier theorem of Gauss, these are exactly the values of n for which a regular n-gon is constructible by straig...
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ژورنال
عنوان ژورنال: The Lancet
سال: 1901
ISSN: 0140-6736
DOI: 10.1016/s0140-6736(01)83259-1