Perturbed Proximal Point Algorithm with Nonquadratic Kernel

Let H be a real Hilbert space and T be a maximal monotone operator on H. A well-known algorithm, developed by R. T. Rockafellar [16], for solving the problem (P) ”To find x ∈ H such that 0 ∈ T x” is the proximal point algorithm. Several generalizations have been considered by several authors: introduction of a perturbation, introduction of a variable metric in the perturbed algorithm, introduction of a pseudo-metric in place of the classical regularization, . . . We summarize some of these extensions by taking simultaneously into account a pseudo-metric as regularization and a perturbation in an inexact version of the algorithm.

Three Spaces Problem for Lyapunov Theorem on Vector Measure

It is proved that a Banach space X has the Lyapunov property if its subspace Y and the quotient space X/Y have it.

M-Solid Subvarieties of some Varieties of Commutative Semigroups

∗ The research of the author was supported by the Alexander v. Humboldt-Stiftung.

Backlund-Darboux Transformations in Sato's Grassmannian

We define Bäcklund–Darboux transformations in Sato’s Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.

An Iterative Method for the Matrix Principal n-th Root

In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.

Data Extraction from Carte Du Ciel Triple Images

Carte du Ciel (from French, map of the sky) is a part of a 19th century extensive international astronomical project whose goal was to map the entire visible sky. The results of this vast effort were collected in the form of astrographic plates and their paper representatives that are called astrographic maps and are widely distributed among many observatories and astronomical institutes over the world. Our goal is to design methods and algorithms to automatically extract data from digitized Carte du Ciel astrographic maps. This paper examines the image processing and pattern recognition techniques that can be adopted for automatic extraction of astronomical data from stars’ triple expositions that can aid variable stars detection in Carte du Ciel maps.

A versenyképesség és a társaságok belső ellenőrzése (Competitiveness and corporate internal audit)

A cikk a belső ellenőrzésnek a hatékony társaságirányításhoz való hozzájárulását és ennek a versenyképességre gyakorolt hatását vizsgálja. A belső ellenőrzés és a társaságirányítás kölcsönös összefüggésben áll egymással. Nemcsak a belső ellenőrzés hat a társaságirányításra, hanem a releváns társaságirányítási struktúrák, emberi kapcsolatok és magatartásformák jelentős hatást gyakorolnak a belső ellenőrzés színvonalára és hatékonyságára. A cikk ezért különös figyelmet szentel a belső ellenőröknek az igazgatósággal, az auditbizottsággal/felügyelőbizottsággal, a menedzsmenttel és a könyvvizsgálóval való kapcsolatainak vizsgálatára. Rávilágít a belső ellenőrzés legfőbb funkciójára, amely objektív bizonyosságot nyújt az igazgatóság és a felső vezetők számára a kockázatok azonosítására, kezelésére és elfogadható szintre történő csökkentésére szolgáló kontrollfolyamatok megfelelőségéről és hatékonyságáról. A bemutatott belső ellenőrzési modell azt a szemléletet közvetíti, hogy a belső ellenőrzés által nyújtott objektív bizonyosság megszerzése nemcsak a jogszabályoknak vagy az ajánlásoknak való megfelelés, hanem a társaságok versenyképessége szempontjából is kiemelkedő jelentőségű. _________ The purpose of this paper is to consider the contribution of internal audit to the sound corporate governance and the impact of that on the competitiveness of the companies. There is a mutual dependency between internal audit and corporate governance. Not only the internal audit has impact on the corporate governance but the relevant governance structures, relationships and behaviour influence the level and effectiveness of the internal audit. Therefore the present paper is highly concerned with the internal auditors` relationships with the board, audit committee/supervisory board, senior management and the external auditor. It highlights the internal audit function, that provides objective assurance to the board and senior management about the adequacy and effectiveness of the processes by which risks are identified, managed, controlled and mitigated to acceptable levels. The internal audit model demonstrated represents an approach, according to that getting objective assurance provided by internal audit is important not only to be in line with laws and recommendations but to facilitate the corporate competitiveness.

Vertical profiles of environmental parameters measured on discrete water samples collected with Niskin bottles at station TARA_024 during the Tara Oceans expedition 2009-2013

The Tara Oceans Expedition (2009-2013) was a global survey of ocean ecosystems aboard the Sailing Vessel Tara. It carried out extensive measurements of evironmental conditions and collected plankton (viruses, bacteria, protists and metazoans) for later analysis using modern sequencing and state-of-the-art imaging technologies. Tara Oceans Data are particularly suited to study the genetic, morphological and functional diversity of plankton. The present data set includes properties of seawater, particulate matter and dissolved matter that were measured from discrete water samples collected with Niskin bottles during the 2009-2013 Tara Oceans expedition. Properties include pigment concentrations from HPLC analysis (10 depths per vertical profile, 25 pigments per depth), the carbonate system (Surface and 400m; pH (total scale), CO2, pCO2, fCO2, HCO3, CO3, Total alkalinity, Total carbon, OmegaAragonite, OmegaCalcite, and dosage Flags), nutrients (10 depths per vertical profile; NO2, PO4, N02/NO3, SI, quality Flags), DOC, CDOM, and dissolved oxygen isotopes. The Service National d'Analyse des Paramètres Océaniques du CO2, at the Université Pierre et Marie Curie, determined CT and AT potentiometrically. More than 200 vertical profiles of these properties were made across the world ocean. DOC, CDOM and dissolved oxygen isotopes are available only for the Arctic Ocean and Arctic Seas (2013).

Vertical profiles of environmental parameters measured from physical, optical and imaging sensors during station TARA_024 of the Tara Oceans expedition 2009-2013

The Tara Oceans Expedition (2009-2013) sampled the world oceans on board a 36 m long schooner, collecting environmental data and organisms from viruses to planktonic metazoans for later analyses using modern sequencing and state-of-the-art imaging technologies. Tara Oceans Data are particularly suited to study the genetic, morphological and functional diversity of plankton. The present data set includes properties of seawater, particulate matter and dissolved matter from physical, optical and imaging sensors mounted on a vertical sampling system (Rosette) used during the 2009-2013 tara Oceans Expedition. It comprised 2 pairs of conductivity and temperature sensors (SEABIRD components), and a complete set of WEtLabs optical sensors, including chrorophyll and CDOM fluorometers, a 25 cm transmissiometer, and a one-wavelength backscatter meter. In addition, a SATLANTIC ISUS nitrate sensor and a Hydroptic Underwater Vision Profiler (UVP) were mounted on the rosette. In the Arctic Ocean and Arctic Seas (2013), a second oxygen sensor (SBE43) and a four frequency Aquascat acoustic profiler were added. The system was powered on specific Li-Ion batteries and data were self-recorded at 24HZ. Sensors have all been factory calibrated before, during and after the four year program. Oxygen was validated using climatologies (WOA09). Nitrate and Fluorescence data were adjusted with discrete measurements from Niskin bottles mounted on the Rosette, and optical darks were performed monthly on board. A total of 839 quality checked vertical profiles were made during the tara Oceans expedition 2009-2013.

Electrochemical formation of ordered pore arrays in InP in KCl

Pores are formed electrochemically in n-InP in KCl electrolytes with concentrations of 2 mol dm-3 or greater. The pore morphology is similar to what is seen in other halide-based electrolytes. At low potentials, crystallographically oriented (CO) pores are formed. At higher potentials, current-line oriented (CLO) pores are formed. Crystallographically oriented pore walls are observed for both pore morphologies. When formed at a constant current, potential oscillations are observed which have been correlated to oscillations in the pore width. The CLO pore wall smoothness and overall uniformity increase as KCl concentration is increased. The porous structures formed in KCl compare favourably with those formed in the more acidic or alkaline electrolytes that are typically used to form these structures.