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1.
We derive the distribution and three-term recurrence relation for the Koornwinder [2] polynomials with weight function shown above using the method developed in our paper [3]. We are able to obtain explicit expressions for the linear functional in terms of the coefficients of the three-term recurrence relation for the Jacobi polynomials and we obtain the distribution using a more direct approach.  相似文献   
2.
Mass spectrometry compatibility of two-dimensional gel protein stains   总被引:9,自引:0,他引:9  
As proteomic technology evolves, protein staining sensitivity is constantly being improved, enabling researchers to better visualize the proteome of their system. The current challenge is to balance the limits of detection of protein visualization with those of the mass spectrometric methods. In this report, mass spectra generated from human serum or rat liver proteins stained with either colloidal Coomassie blue, Daiichi silver, SYPRO Orange, SYPRO Red, SYPRO Ruby, or SYPRO Tangerine are compared. It has been concluded that the newest generation of fluorescent protein stains, compared with traditional staining methods, are more compatible to matrix-assisted laser desorption/ionization (MALDI) and liquid chromatography-tandem mass spectrometry (LC-MS/MS) methods. The number of database matches obtained using each mass spectrometry method and the percent sequence coverage obtained from trypsin digested proteins stained using these six methods is provided.  相似文献   
3.
An improved synthesis of trivinylaluminum (V3Al) is described. The proton magnetic resonance (PMR) spectrum of V3Al was recorded and analyzed. A new vinylation method involving the use of V3Al as the vinylating agent has been developed, and the vinylation of organic halides by V3Al was studied at ?30, ?50 and ?70°C. Primary alkyl chlorides, such as methyl and methylene chloride, do not react with V3Al and were used as solvents. Secondary chlorides such as 2-chloropropane also do not react. t-Butyl chloride gives rise to t-butylethylene (70–98%), depending on reaction conditions, and the allylic chlorides, 3-chloro-1-butene, and 3-chloro-3-methyl-1-butene, yield the expected vinylated products and their isomers (~90%). Allyl and benzyl chloride do not react under the conditions tried. The reaction between V3Al and the ditertiary dichloride 2,6-dichloro-2,6-dimethylheptane yields several isomeric C13H24 and C11H20 hydrocarbons; however, surprisingly, C9H16 does not form. The C13 hydrocarbons arise by divinylation at the termini of the dichloride, while the C11 hydrocarbons are formed by vinylation at one and proton elimination at the other terminus of the dichloride. The presence of unsaturated C13H24 and C11H20 isomers is most likely due to proton induced isomerization. These results are explained by a proximity effect involving vinylation at one end of the dichloride by V3Al followed by rapid reaction of the second chlorine (mostly) by V2AlCl generated in situ during the first vinylation in the proximity of the chloride. At the other chlorine terminus V2AlCl causes either a second vinylation (leading to C13 hydrocarbons) or a proton elimination (leading to C11 hydrocarbons). The absence of C9H16 among the reaction products indicates that V3Al exclusively effects vinylation. The RCl + V3Al ← RV + V2AlCl reaction may be regarded as a model for initiation followed by immediate termination in cationic olefin polymerization, a process leading to vinyl-ended polymers.  相似文献   
4.
Linear optics quantum logic gates are the best tool to generate multiphoton entanglement. Simplifying a recent approach, we were able to implement the conditional phase gate with only one second-order interference at a polarization dependent beam splitter, thereby significantly increasing its stability. The improved quality of the gate is evaluated by analyzing its entangling capability and by performing full process tomography. The achieved results ensure that this device is well suited for implementation in various multiphoton quantum information protocols.  相似文献   
5.
The reflection or transmission properties of one and two-dimensional photonic crystals are widely used for optical sensing applications. A variety of optical sensors exist that change their optical properties upon receiving a stimulus. A compact wavelength detector capable of resolving very small changes in the spectral output of these sensors is highly desirable. A photodiode array (PDA) or position sensor device (PSD) in combination with a linear variable band-pass filter constitutes a very robust and compact device to detect those changes. The filter converts the wavelength information of the incident light into a spatial intensity distribution that is analyzed by the photodetector. We have investigated the performance of these wavelength detectors depending on the optical properties of the filter. This includes the gradient with which the transmission peak shifts across the filter surface and the spectral width of the transmission function. Also, we point out differences between the PDA and the PSD and analyze the influence of inhomogeneous illumination on the unit. PACS 42.68.Ay; 42.79.-e; 42.81.Pa  相似文献   
6.
7.
In this review paper we summarise several nonparametric methods recently applied to the pricing of financial options. After a short introduction to martingale-based option pricing theory, we focus on two possible fields of application for nonparametric methods: the estimation of risk-neutral probabilities and the estimation of the dynamics of the underlying instruments in order to construct an internally consistent model.  相似文献   
8.
One central challenge in high-T c superconductivity (SC) is to derive a detailed understanding for the specific role of the Cu-d x2-y2 and O-p x,y orbital degrees of freedom. In most theoretical studies an effective one-band Hubbard (1BH) or t-J model has been used. Here, the physics is that of doping into a Mott-insulator, whereas the actual high-T c cuprates are doped charge-transfer insulators. To shed light on the related question, where the material-dependent physics enters, we compare the competing magnetic and superconducting phases in the ground state, the single- and two-particle excitations and, in particular, the pairing interaction and its dynamics in the three-band Hubbard (3BH) and 1BH-models. Using a cluster embedding scheme, i.e. the variational cluster approach (VCA), we find which frequencies are relevant for pairing in the two models as a function of interaction strength and doping: in the 3BH-models the interaction in the low- to optimal-doping regime is dominated by retarded pairing due to low-energy spin fluctuations with surprisingly little influence of inter-band (p-d charge) fluctuations. On the other hand, in the 1BH-model, in addition a part comes from “high-energy” excited states (Hubbard band), which may be identified with a non-retarded contribution. We find these differences between a charge-transfer and a Mott insulator to be renormalized away for the ground-state phase diagram of the 3BH- and 1BH-models, which are in close overall agreement, i.e. are “universal”. On the other hand, we expect the differences - and thus, the material dependence to show up in the “non-universal” finite-T phase diagram (T c-values).  相似文献   
9.
The variety of multipartite entangled states enables numerous applications in novel quantum information tasks. In order to compare the suitability of different states from a theoretical point of view, classifications have been introduced. Accordingly, here we derive criteria and demonstrate how to experimentally discriminate an observed state against the ones of certain other classes of multipartite entangled states. Our method, originating in Bell inequalities, adds an important tool for the characterization of multiparty entanglement.  相似文献   
10.
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