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71.
The inclusion-exclusion principle is one of the basic theorems in combinatorics. In this paper the inclusion-exclusion principle for IF-sets on generalized probability measures is studied. The basic theorems are proved. 相似文献
72.
We study a model of complex band random matrices capable of describing the transitions between three different ensembles of
Hermitian matrices: Gaussian orthogonal, Gaussian unitary and Poissonian. Analyzing numerical data we observe new scaling
relations based on the generalized localization length of eigenvectors. We show that during transitions between canonical
ensembles of random matrices the changes of statistical properties of eigenvalues and eigenvectors are correlated. 相似文献
73.
Janulewicz KA Schnürer M Tümmler J Priebe G Risse E Nickles PV Greenberg B Levin M Pukhov A Mandelbaum P Zigler A 《Optics letters》2005,30(12):1572-1574
Investigations of plasma produced by a boron nitride capillary discharge irradiated with a guided 20-TW Ti: sapphire laser pulse at a peak intensity of 4 x 10(18) W/cm2 are presented. The guided laser radiation in the plasma channel generated He-like ions that, subject to suitable plasma temperature, recombined into Li-like nitrogen ions. Intense radiation at a wavelength of 24.77 nm was observed, indicating possible lasing at the 3d(5/2) - 2p(3/2) transition in Li-like nitrogen. 相似文献
74.
We study the loss of entanglement of a bipartite state subjected to discarding or measurement of one qubit. Examining behavior of different entanglement measures, we find that entanglement of formation, entanglement cost, logarithmic negativity, and one-way distillable entanglement are lockable measures in that they can decrease arbitrarily after measuring one qubit. We prove that any convex and asymptotically noncontinuous measure is lockable. As a consequence, all the convex-roof measures can be locked. The relative entropy of entanglement is shown to be a nonlockable measure. 相似文献
75.
We define a natural ensemble of trace preserving, completely positive quantum maps and present algorithms to generate them at random. Spectral properties of the superoperator Φ associated with a given quantum map are investigated and a quantum analogue of the Frobenius-Perron theorem is proved. We derive a general formula for the density of eigenvalues of Φ and show the connection with the Ginibre ensemble of real non-symmetric random matrices. Numerical investigations of the spectral gap imply that a generic state of the system iterated several times by a fixed generic map converges exponentially to an invariant state. 相似文献
76.
Karol?Ko?odziej Szymon?Szczypiński 《The European Physical Journal C - Particles and Fields》2009,64(4):645-651
We present results for the lowest order cross sections, calculated with the complete set of standard model Feynman diagrams,
of all possible detection channels of the associated production of the top quark pair and the light Higgs boson, which may
be used for determination of the top–Higgs Yukawa coupling at the future e
+
e
− linear collider. We show that, for typical particle identification cuts, the background contributions are large. In particular,
the QCD background contributions are much bigger than could be expected when taking into account a possibly low virtuality
of exchanged gluons. Moreover, we include the initial state radiation effects and discuss the dependence of the cross sections
on the Higgs boson and top quark masses. 相似文献
77.
78.
Zbigniew Pucha?a Piotr Gawron ?ukasz Skowronek Karol ?yczkowski 《Linear algebra and its applications》2011,434(1):327-342
We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds for the product numerical range for Hermitian operators are derived. Product numerical range of a non-Hermitian operator forms a subset of the standard numerical range containing the barycenter of the spectrum. While the latter set is convex, the product range needs not to be convex nor simply connected. The product numerical range of a tensor product is equal to the Minkowski product of numerical ranges of individual factors. 相似文献
79.
An efficient synthesis of the key building block for 17-epi-calctriol from the Hajos-Parrish dione involving a sequence of diastereoselective transformation of the azulene core and the side-chain construction is presented. 相似文献
80.
Periodica Mathematica Hungarica - In this note we construct an algorithm generating any discrete distribution with an arbitrary coin (and, as a result, with arbitrary initial distribution). The... 相似文献