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51.
Mariusz Rabus Saharon Shelah 《Proceedings of the American Mathematical Society》1999,127(9):2573-2581
For every uncountable cardinal there is a ccc Boolean algebra whose topological density is .
52.
Let E be an elliptic curve defined over a number field K, without complex multiplication, S a finite subset of E(K) and l a rational prime being good modulus for E/K. The main result of the paper asserts that if |S|l2+l and for almost all prime ideals P of K S contains an element R satisfying R mod P = lQ with QE(K/P) then S contains an element R which satisfies R=lQ with some QE(K). It improves the result of S.Wong [6], where the above statement is proved under the stronger assumption |S|l2. Moreover we show that the bound |S|l2+l is optimal. 相似文献
53.
54.
Nishizawa M Yadav VK Skwarczynski M Takao H Imagawa H Sugihara T 《Organic letters》2003,5(10):1609-1611
[reaction: see text] Hg(OTf)(2) exhibits remarkable catalytic activity for the hydroxylative cyclization of 1,6-enynes. The present procedure should involve a sequence of mercuration of a terminal alkyne, carbocyclization, hydration, and protodemercuration that regenerates the catalyst. 相似文献
55.
Jenkinson Oliver; Gonzalez Luis Felipe; Urbanski Mariusz 《Proceedings London Mathematical Society》2003,86(3):755-778
For any non-empty subset I of the natural numbers, let I denotethose numbers in the unit interval whose continued fractiondigits all lie in I. Define the corresponding transfer operator
for , where Re (rß) = I is the abscissa of convergence of the series . When acting on a certain Hilbert space HI, rß, weshow that the operator LI, rß is conjugate to an integraloperator KI, rß. If furthermore rß is real,then KI, rß is selfadjoint, so that LI, rß: HI, rß HI, rß has purely real spectrum.It is proved that LI, rß also has purely real spectrumwhen acting on various Hilbert or Banach spaces of holomorphicfunctions, on the nuclear space C [0, 1], and on the Fréchetspace C [0, 1]. The analytic properties of the map rß LI, rßare investigated. For certain alphabets I of an arithmetic nature(for example, I = primes, I = squares, I an arithmetic progression,I the set of sums of two squares it is shown that rß LI, rß admits an analytic continuation beyond thehalf-plane Re rß > I. 2000 Mathematics SubjectClassification 37D35, 37D20, 30B70. 相似文献
56.
Urszula Koss Mariusz ?ukaszewski Katarzyna Hubkowska Andrzej Czerwi��ski 《Journal of Solid State Electrochemistry》2011,15(11-12):2477-2487
Hydrogen electrosorption into Pd-rich (>80?at.% Pd in the bulk) Pd?CRh alloys has been studied in acidic solutions (0.5?M H2SO4) using cyclic voltammetry and chronoamperometry. The influence of temperature (in the range between 283 and 328?K), electrode potential and alloy bulk composition on hydrogen electrosorption properties of Pd?CRh alloys is presented. It has been found that the additive of Rh to Pd?CRh alloys increases the maximum hydrogen solubility (for Rh bulk content below 10?at.%), decreases the potential of absorbed hydrogen oxidation peak and decreases the potential of the ???????? phase transition. Increasing temperature decreases the potential of absorbed hydrogen oxidation peak, the maximum hydrogen solubility, and the potential of the ???????? phase transition. The amounts of electrosorbed hydrogen for ??- and ??-phase boundaries, i.e., ??max and ??min, have been determined from the integration of the initial parts of current?Ctime responses in hydrogen absorption and desorption processes. The H/M ratio corresponding to ??max increases with increasing Rh content, while for ??min a maximum of H/M ratio is observed for the alloys containing ca. 95% Rh. 相似文献
57.
Corrections to atomic energy levels due to nuclear structure effects are discussed. These are the finite nuclear size combined with relativistic and recoil corrections, and the nuclear polarizability. Good understanding of these effects is necessary for interpretation of high-precision measurements of the isotope shifts with neutron-rich nuclei 6,8He, 11Li and 11Be. The summary of the results of the accurate atomic structure calculations is presented also. 相似文献
58.
We show that under some natural ergodicity assumptions, extensions given by Rokhlin cocycles lift the multiplier property
if the associated locally compact group extension has only countably many L∞-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank modules associated to an extension
of measure-preserving systems in the setting of a non-singular base. 相似文献
59.
We consider the dynamics of skew product maps associated with finitely generated semigroups of rational maps on the Riemann
sphere. We show that under some conditions on the dynamics and the potential function ψ, there exists a unique equilibrium state for ψ and a unique exp(P(ψ) − ψ)-conformal measure, where P(ψ) denotes the topological pressure of ψ.
The research of M. Urbański was supported in part by the NSF Grant DMS 0400481. H. Sumi thanks University of North Texas for
kind hospitality, during his stay there. 相似文献
60.
The crystal structure of a novel non-peptidic HIV-1 protease inhibitor derived by simple solid-state dimerization of 4-aryl-1,4-dihydropyridines, reveals a strained central cage and the conformation of its phenyl, benzyl, and hydroxymethylene substituents. The polycyclic cage includes two nearly flat cyclobutane rings and four fused piperidine rings in boat conformations. The cage geometry reveals two unexpected features, namely marked distortions of the valence angles in every second piperidine and a shortening of one of the cyclobutane bonds. The molecule displays exact centrosymmetry, but the central cage and the hydroxymethylene substituents also approximate the C2-symmetry of the target enzyme. The two independent hydroxyl groups are involved in intermolecular hydrogen bonding, one as a donor, the other as an acceptor. The disposition of the hydroxyl groups in the molecular framework is compatible with the dual role of the inhibitor in the active-site cavity of HIV-1 protease, whereby one OH group is hydrogen-bonded to the catalytic aspartates, whereas another one provides an interface to the locked flaps of the enzyme. 相似文献