The Pontryagin -form

The unit -planes on which the first Pontryagin form of the Grassmann manifolds achieves its maximum are determined. This is a shorter and unified proof of results first obtained in 1995 by H. Gluck et al. and in 1998 by W. Gu.

     

Minimum construction of two-qubit quantum operations

Optimal construction of quantum operations is a fundamental problem in the realization of quantum computation. We here introduce a newly discovered quantum gate, B, that can implement any arbitrary two-qubit quantum operation with minimal number of both two- and single-qubit gates. We show this by giving an analytic circuit that implements a generic nonlocal two-qubit operation from just two applications of the B gate. Realization of the B gate is illustrated with an example of charge-coupled superconducting qubits for which the B gate is seen to be generated in shorter time than the CNOT gate.     

On bases of identities of finite inverse semigroups with solvable subgroups

It is shown that every finite inverse semigroup having only solvable subgroups, viewed as a semigroup with the additional unary operation of inversion, has no finite basis of identities, unless it is a strict inverse semigroup.     

Improving detector signal processing with pulse height analysis in Mössbauer spectrometers

A plenty of different programming techniques and instrument solutions are used in the development of Mössbauer spectrometers. Each of them should provide a faster spectrum accumulation process, increased productivity of measurements, decreased nonlinearity of the velocity scale, etc. The well known virtual instrumentation programming method has been used to design a computer-based Mössbauer spectrometer. Hardware solution was based on two commercially-available PCI modules produced by National Instruments Co. Virtual Mössbauer spectrometer is implemented by the graphical programming language LabVIEW 7 Express. This design environment allows to emulate the multichannel analyzer on the digital oscilloscope platform. This is a novel method based on Waveform Peak Detection function which allows detailed analysis of the acquired signal. The optimal treatment of the detector signal from various detector types is achieved by mathematical processing only. As a result, the possibility of an increase of signal/noise ratio is presented.     

Evidence of Strange Attractors in Class C Amplifier with Single Bipolar Transistor: Polynomial and Piecewise-Linear Case

This paper presents and briefly discusses recent observations of dynamics associated with isolated generalized bipolar transistor cells. A mathematical model of this simple system is considered on the highest level of abstraction such that it comprises many different network topologies. The key property of the analyzed structure is its bias point since the transistor is modeled via two-port admittance parameters. A necessary but not sufficient condition for the evolution of autonomous complex behavior is the nonlinear bilateral nature of the transistor with arbitrary reason that causes this effect. It is proved both by numerical analysis and experimental measurement that chaotic motion is miscellaneous, robust, and it is neither numerical artifact nor long transient motion.     

Coupling protein complex analysis to peptide based proteomics

Proteolysis is a central component of most proteomics methods. Unfortunately much of the information relating to the structural diversity of proteins is lost during digestion. This paper describes a method in which the native proteome of yeast was subjected to preliminary fractionation by size exclusion chromatography (SEC) prior to trypsin digestion of SEC fractions and reversed phase chromatography-mass spectral analysis to identify tryptic peptides thus generated. Through this approach proteins associated with other proteins in high molecular mass complexes were recognized and identified. A focus of this work was on the identification of Hub proteins that associate with multiple interaction partners. A critical component of this strategy is to choose methods and conditions that maximize retention of native structure during the various stages of analysis prior to proteolysis, especially during cell lysis. Maximum survival of protein complexes during lysis was obtained with the French press and bead-beater methods of cell disruption at approximately pH 8 with 200 mM NaCl in the lysis buffer. Structure retention was favored by higher ionic strength, suggesting that hydrophobic effects are important in maintaining the structure of protein complexes. Recovery of protein complexes declined substantially with storage at any temperature, but storage at -20°C was best when low temperature storage was necessary. Slightly lower recovery was obtained with storage at -80°C while lowest recovery was achieved at 4°C. It was concluded that initial fractionation of native proteins in cell lysates by SEC prior to RPC-MS/MS of tryptic digests can be used to recognize and identify proteins in complexes along with their interaction partners in known protein complexes.     

State of the Art in the Field of Electronic and Bioelectronic Tongues – Towards the Analysis of Wines

This review compares various types of (bio)electronic tongues. The design and principles of potentiometric and voltammetric electronic tongues are discussed together with applications in food and environmental analysis. Different approaches towards bioelectronic tongue are presented. Several methods for evaluation and interpretation of the measured data are described. Finally, the potential of such devices for analysis of wine is discussed.     

A general method for enclosing solutions of interval linear equations

We describe a general method for enclosing the solution set of a system of interval linear equations. We present a general theorem and an algorithm in a MATLAB-style code.