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11.
J. A. Dyer 《Israel Journal of Mathematics》1969,7(1):51-59
Conditions for the embedding of a Banach space as a dense subspace of a continuous function space are studied. Necessary and
sufficient conditions for a Banach space to be isomorphic to aP
1 space are found. 相似文献
12.
We describe the results of a study of a TEA CO2 laser using a strip cylindrical unstable resonator which produces an output beam with suitable characteristics for producing a high quality line focus. Using this technique an irradiance of ?109W cm-2 over a 5 cm long line focus has been achieved. 相似文献
13.
Path coupling is a useful technique for simplifying the analysis of a coupling of a Markov chain. Rather than defining and analysing the coupling on every pair in Ω×Ω, where Ω is the state space of the Markov chain, analysis is done on a smaller set SΩ×Ω. If the coefficient of contraction β is strictly less than one, no further analysis is needed in order to show rapid mixing. However, if β=1 then analysis (of the variance) is still required for all pairs in Ω×Ω. In this paper we present a new approach which shows rapid mixing in the case β=1 with a further condition which only needs to be checked for pairs in S, greatly simplifying the work involved. We also present a technique applicable when β=1 and our condition is not met. 相似文献
14.
This paper is mainly concerned with the computational complexity of determining whether or not the vertices of a graph can be partitioned into equal sized subsets so that each subset induces a particular type of graph. Many of the NP-completeness results are for planar graphs. These are proved using a planar version of 3-dimensional matching. 相似文献
15.
Excimer laser polymer ablation: twenty years on 总被引:7,自引:0,他引:7
P.E. Dyer 《Applied Physics A: Materials Science & Processing》2003,77(2):167-173
Research and development in excimer laser polymer ablation has been actively pursued for some twenty years, driven by interest
in the basic science as well as by numerous applications that have emerged for this high-resolution technique for material
removal. This paper reviews some of the basic mechanistic aspects of the UV laser–polymer interaction as a prelude to dealing
with practical matters related to polymer processing by ablation. Applications in micro-machining and potential areas for
future research are briefly covered.
Received: 7 October 2002 / Accepted: 8 February 2003 / Published online: 28 May 2003
RID="*"
ID="*"Corresponding author. Fax: +44-1482/465-606, E-mail: p.e.dyer@hull.ac.uk 相似文献
16.
Let the arc-lengthsL
ij
of a complete digraph onn vertices be independent uniform [0, 1] random variables. We consider the patching algorithm of Karp and Steele for the travelling salesman problem on such a digraph and give modifications which tighten the expected error. We extend these ideas to thek-person travelling salesman problem and also consider the case where cities can be visited more than once. 相似文献
17.
Öznur Yaşar Danny Dyer David A. Pike Margo Kondratieva 《Discrete Applied Mathematics》2009,157(8):1913-1923
In traditional edge searching one tries to clean all of the edges in a graph employing the least number of searchers. It is assumed that each edge of the graph initially has a weight equal to one. In this paper we modify the problem and introduce the Weighted Edge Searching Problem by considering graphs with arbitrary positive integer weights assigned to its edges. We give bounds on the weighted search number in terms of related graph parameters including pathwidth. We characterize the graphs for which two searchers are sufficient to clear all edges. We show that for every weighted graph the minimum number of searchers needed for a not-necessarily-monotonic weighted edge search strategy is enough for a monotonic weighted edge search strategy, where each edge is cleaned only once. This result proves the NP-completeness of the problem. 相似文献
18.
Chiral tridentate phosphines, R(2)P(CH(2))(3)PPh(CH(2))(2)PPh(2) where R = C(6)H(5), p-ClC(6)H(4), and p-FC(6)H(4), can be prepared from simple starting materials, (R(3)P, I(CH(2))(3)I, and Ph(2)P(CH(2))(2)PPh(2)), in a few stages involving phosphonium salts and phosphine oxides as intermediates. Crystalline diamagnetic complexes of nickel(II) and palladium(II) have been isolated. In solution these show first-order 12 line (31)P NMR spectra consistent with three nonequivalent phosphorus nuclei coupled to one another in a square planar geometry. A single X-ray crystallographic study of NiI(2){P(CH(2))(3)PPh(CH(2))(2)PPh(2)} showed that this was square pyramidal in the solid state with a weakly held apical iodo ligand. 相似文献
19.
Sbastien Bontemps Ghenwa Bouhadir DavidC. Apperley PhilipW. Dyer Karinne Miqueu Didier Bourissou 《化学:亚洲杂志》2009,4(3):428-435
Bridging or pendant? Palladium and rhodium complexes deriving from an ambiphilic phosphine–borane ligand are shown to adopt a bridging P→M? Cl→B coordination mode in the solid state. DFT calculations provide more insight into the Cl→B interaction and suggest the possible interconversion of the bridging and B‐pendant forms in solution.
20.
Nagarajan S Taskent-Sezgin H Parul D Carrico I Raleigh DP Dyer RB 《Journal of the American Chemical Society》2011,133(50):20335-20340
The time scale for ordering of the polypeptide backbone relative to the side chains is a critical issue in protein folding. The interplay between ordering of the backbone and ordering of the side chains is particularly important for the formation of β-sheet structures, as the polypeptide chain searches for the native stabilizing cross-strand interactions. We have studied these issues in the N-terminal domain of protein L9 (NTL9), a model protein with mixed α/β structure. We have developed a general approach for introducing site-specific IR probes for the side chains (azide) and backbone ((13)C═(18)O) using recombinant protein expression. Temperature-jump time-resolved IR spectroscopy combined with site-specific labeling enables independent measurement of the respective backbone and side-chain dynamics with single residue resolution. We have found that side-chain ordering in a key region of the β-sheet structure occurs on a slower time scale than ordering of the backbone during the folding of NTL9, likely as a result of the transient formation of non-native side-chain interactions. 相似文献