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Search results for: COVARIANCE MATRICES
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Estimators of covariance matrices in Msplit(q) estimation
PublicationThis paper proposes methods for the determination of covariance matrices of Msplit(q) estimators. The solutions presented here allow Msplit(q) estimation to be supplemented by the operations from the domain of accuracy analysis (especially that concerning estimators of parameters). Theoretical forms of covariance matrices of Msplit(q) estimators were established using the empirical influence functions and the equivalent covariance...
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Special Matrices
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Operators and Matrices
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Covariance approach to the free photon field
PublicationWprowadziliśmy teorię fotonu poprzez tą samą zasadę, co dla pojedynczej czą-stki w kwantowej mechanice używając C*-algebraicznego podejścia kowariantychukładów.
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Approximation of Covariance Function with Application to Stochastic Mechanics.
PublicationW pracy przedstawiono koncepcję rozwinięć kanonicznych dla funkcji losowych oraz możliwość ich zastosowania w stochastycznej mechanice gruntów. Rozpatrzono rozkład widmowy, rozwinięcia Karhunena-Loevego oraz rozwinięcia ortogonalne zmodyfikowanymi wielomianami Hermite'a. Przeprowadzono analizę błędów dla zagadnienia warstwy gruntu o losowych parametrach sprężystych, uzyskano analityczne rozwiązanie systemu stochastycznego.
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Electron mobility variance in semiconductors: the variance approach
PublicationPraca przedstawia nowe podejście da analizy zjawisk losowych w półprzewodnikach. Uwzględnia kilka mechanizmów zjawisk fluktuacji ruchliwości w półprzewodnikach, prowadzących do powstawamai składowej szumów typu 1/f, dominujących w zakresie małych czetotliwości. Przedstawia analizę sposobu wyznaczenia stałej Hooge'a określającej intensywność szumów typu 1/f.The statistical non-triviality of current carrier mobility fluctuations...
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Simple connection matrices
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Asynchronous distributed state estimation based on covariance intersection
PublicationW artykule rozważa się problem estymacji stanu w rozproszonym systemach wieloczujnikowym. W systemach takich stan obserwowanego obiektu jest estymowany przez pewien zbiór estymatorów lokalnych. Każdy estymator lokalny wykonuje fuzję danych pochodzących ze skojarzonego z nim czujnika lub czujników z danymi pochodzącymi z innych lokalnych estymatorów. W wyniku operacji fuzji oraz dodatkowo operacji filtracji korzystając np. z filtru...
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Necessary covariance conditions for a one-field Lax pair
PublicationBadamy kowariancje w odniesieniu do transformacji Darboux wielomianowych różniczkowych i różnicowych operatorów z współczynnikami danymi przez funkcje jednego bazowego pola.
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On adaptive covariance and spectrum estimation of locally stationary multivariate processes
PublicationWhen estimating the correlation/spectral structure of a locally stationary process, one has to make two important decisions. First, one should choose the so-called estimation bandwidth, inversely proportional to the effective width of the local analysis window, in the way that complies with the degree of signal nonstationarity. Too small bandwidth may result in an excessive estimation bias, while too large bandwidth may cause excessive...
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Induction Motor Bearings Diagnostic Using MCSA and Normalized Tripple Covariance
PublicationDiagnosis of induction motors, conducted remotely by measuring and analyzing the supply current is attractive with the lack of access to the engine. So far there is no solution, based on analysis of current, the credibility of which allow use in industry. Statistics of IM bearing failures of induction motors indicate, that they constitute more than 40% of IM damage, therefore bearing diagnosis is so important. The article provides...
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MCSA with Normalized Triple Covariance as a bearings diagnostic indicator in an induction motor
PublicationStatistics of bearing failures in induction motors indicate, that they constitute more than 40% of IM damage, therefore bearing diagnosis is very important. Vibration methods for bearing diagnostics have one major disadvantage - they require the availability of the machine for sensors installation. This is the reason for seeking new methods based on motor supply current analysis. Diagnosis of induction motors, conducted remotely...
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Inseparability criteria based on matrices of moments
PublicationInseparability criteria for continuous and discrete bipartite quantum states based on moments of annihilationand creation operators are studied by developing the idea of Shchukin-Vogel criterion Phys. Rev. Lett. 95,230502 2005. If a state is separable, then the corresponding matrix of moments is separable too. Thus, wederive generalized criteria based on the separability properties of the matrix of moments. In particular, acriterion...
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Spectral sequences and detailed connection matrices
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Novel Polyurethanes as Antifouling Paint Matrices
PublicationThe new poly(ester-ether urethane)s (PEEUR) were prepared in two stage synthesis from formerly obtained oligo(alkylene ester-ether)diols (OAEE) and 4,4‘-diphenylmethane diisocyanate (MDI). PEEUR samples were subjected to crosslinking with styrene in the presence of radical polymerization initiators: methyl ethyl ketone peroxide (MEKPO) or cobalt 2-ethyl cyclohexanoate (EtHCo). Crosslinked PEEUR were characterized by their physicochemical...
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Induction motor bearings diagnostic indicators based on MCSA and normalized triple covariance
PublicationInduction motors are one of the most widely used electrical machines. Statistics of bearing failures of induction motors indicate, that they constitute more than 40% of induction motor damage. Therefore, bearing diagnosis is so important for trouble-free work of induction motors. The most common methods of bearing diagnosis are based on vibration signal analysis. The main disadvantage of those methods is the need for physical access...
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Current based Normalized Triple Covariance as a bearings diagnostic feature in induction motor
PublicationDiagnosis of induction motors, conducted remotely by measuring and analyzing the supply current is attractive with the lack of access to the engine. So far there is no solution, based on analysis of current, the credibility of which allow use in industry. Statistics of IM bearing failures of induction motors indicate, that they constitute more than 40% of IM damage, therefore bearing diagnosis is so important. The article provides...
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Random Matrices-Theory and Applications
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Spectroscopic verification of ionic matrices for MALDI analysis
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Cholesky factorization of matrices in parallel and ranking of graphs.
PublicationUporządkowane kolorowanie znajduje zastosowanie przy równoległej faktoryzacji macierzy metodą Cholesky'ego. Praca zawiera opis tego zastosowania. Podano także algorytmy optymalnego uporządkowanego kolorowania krawędzi pewnych klas grafów: grafów pełnych dwudzielnych oraz powstałych z pełnych dwudzielnych przez usunięcie O(log n) krawędzi.
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Current-based higher-order spectral covariance as a bearing diagnostic feature for induction motors
PublicationConducting the diagnosis of induction motors remotely by analyzing the supply current is an attractive prospect with the lack of access to the engine. Currently, there is no solution, based on analysis of the current, the credibility of which would allow its use in industry. The statistics of bearing failures in induction motors indicate that they constitute more than 40% of induction motor damage, therefore, bearing diagnosis...
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Note on the variance of the sum of gaussian functonals
PublicationDowodzi się oszacowania wariancji sum funkcjonałów losowych, konstruowanych dla zależnego ciągu gaussowskiego.Let (Xi; i = 1; 2; : : :) be a Gaussian sequence with Xi 2 N(0; 1) for each i and suppose its correlation matrix R = (ij)i;j1 is the matrix of some linear operator R : l2 ! l2. Then for fi 2 L 2(), i = 1; 2; : : : ; where is the standard normal distribution, we estimate the variation of the sum of the Gaussian functionals...
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Water clusters in liquid organic matrices of different polarity
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A method for the analysis of methylmercury and total Hg in fungal matrices
PublicationThe aim of the study was to develop an efficient method for the determination of monomethyl-mercury (MeHg) and total mercury (THg) content in materials such as fungal sporocarps and sclerotia. Certified Reference Materials (CRMs) with the assigned values of MeHg and THg as well as the control materials (dried mushrooms) with known content of THg were evaluated for method validation. Recovery of MeHg from reference materials was...
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Determination of pesticide residues in food matrices using the QuEChERSmethodology
PublicationOznaczanie pozostałości pestycydów w próbkach żywności jest ogromnym wyzwaniem głównie z powodu dużych ilości substancji przeszkadzających, które podlegają ekstrakcji razem z analitami i najczęściej wywierają negatywny wpływ na tok analizy. Z drugiej strony, zapewnienie "bezpieczeństwa żywności" wymaga monitorowania w niej pozostałości pestycydów. W artykule przedstawiono nowe podejście do oznaczania pozostałości pestycydów w próbkach...
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Fourier transform symmetry and invariance for neurocontrol of NARMA models
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Determination of POPs in environmental matrices - proficiency tests for Polish laboratories
PublicationKatedra Chemii Analitycznej Wydziału Chemicznego PG we współpracy ze Stowarzyszeniem RefMat oraz firmą LGC Promochem Sp. z o.o. prowadzi od 2003 roku wieloletni projekt badań biegłości laboratoriów. Celem badań jest określenie biegłości laboratoriów w zakresie oznaczania związków organicznych (anality z grupy PCB, WWA, pestycydy) w próbkach środowiskowych. W ramach projektu przeprowadzono dotychczas trzy badania biegłości dotyczące...
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Determination of POPs in environmental matrices – proficiency tests for Polish laboratories
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Modern techniques of extraction of organic analytes from environmental matrices.
PublicationW pracy przedstawiono usystematyzowane informacje dotyczące dostępnych jak i nowych technik izolacji i wzbogacania analitów organicznych przed etapem oznaczeń końcowych.
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Structural studies of bismuth nanocrystals embedded in SiO2 or GeO2 matrices.
PublicationW wyniku wygrzewania w atmosferze wodoru szkieł bizmutowych i germanowych otrzymano warstwę nanogranul bizmutu w otoczeniu amorficznej matrycy oraz powierzchniową warstwę bizmutowych granul. Grubość i struktura tak otrzymanych warstw silnie zależy od czasu i temperatury redukcji.
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Absorbing Boundary Conditions Derived Based on Pauli Matrices Algebra
PublicationIn this letter, we demonstrate that a set of absorbing boundary conditions (ABCs) for numerical simulations of waves, proposed originally by Engquist and Majda and later generalized by Trefethen and Halpern, can alternatively be derived with the use of Pauli matrices algebra. Hence a novel approach to the derivation of one-way wave equations in electromagnetics is proposed. That is, the classical wave equation can be factorized...
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Generation of large finite-element matrices on multiple graphics processors
PublicationThis paper presents techniques for generating very large finite-element matrices on a multicore workstation equipped with several graphics processing units (GPUs). To overcome the low memory size limitation of the GPUs, and at the same time to accelerate the generation process, we propose to generate the large sparse linear systems arising in finite-element analysis in an iterative manner on several GPUs and to use the graphics...
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Darboux covariant equations of von Neumann type and their generalization.
PublicationOpisano nową klasę uogólnionych równań von Neumanna całkowalnych przez transformację Darboux. Uogólnienie zawiera jako przypadki szczególne nieliniowe równanie von Neumanna, r. Nahma, kratę Tody i inne.
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Reducing the Number of Microlocations in Oligonucleotide Microchip Matrices by the Application of Degenerate Oligonucleotides
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Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces
PublicationIn this paper we introduce a new compactness condition — Property-(C) — for flows in (not necessary locally compact) metric spaces. For such flows a Conley type theory can be developed. For example (regular) index pairs always exist for Property-(C) flows and a Conley index can be defined. An important class of flows satisfying the this compactness condition are LS-flows. We apply E-cohomology to index pairs of LS-flows and obtain...
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Review of the applicability of ionic liquid matrices for the quantification of small molecules by MALDI MS
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Kinetics of photochromic reactions of substituted azobenzenes in solutions, and in liquid crystalline and polymer matrices
PublicationBadano kinetykę fotochromowych reakcji pochodnych azobenzenu: eterów koronowych z resztą benzenu i 4-metoksy-4´-halogenoazobenzenów zdolnych do tworzenia fazy ciekłokrystalicznej. Fotoaktywne związki rozpuszczano w alkanach, polimerach i w ciekłokrystalicznej matrycy. Izomeryzacja odpowiada kinetyce pierwszego rzędu w niektórych polimerach, jednakże stwierdzono zróżnicowanie stałych szybkości reakcji. Termiczna izomeryzacja cis-trans...
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Molecular Design Using Selected Concentration Effects in Optically Activated Fluorescent Matrices
PublicationMolecular physics plays a pivotal role in various fields, including medicine, pharmaceuticals, and broader industrial applications. This study aims to enhance the methods for producing specific optically active materials with distinct spectroscopic properties at the molecular level, which are crucial for these sectors, while prioritizing human safety in both production and application. Forensic science, a significant socio-economic...
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Highlighting interlanguage phoneme differences based on similarity matrices and convolutional neural network
PublicationThe goal of this research is to find a way of highlighting the acoustic differences between consonant phonemes of the Polish and Lithuanian languages. For this purpose, similarity matrices are employed based on speech acoustic parameters combined with a convolutional neural network (CNN). In the first experiment, we compare the effectiveness of the similarity matrices applied to discerning acoustic differences between consonant...
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Covariant forms of lax one-field operators: from abelian to noncommutative
PublicationBadamy kowariancje w odniesieniu do transformacji Darboux wielomianowych operatorów różniczkowych o współczynnikach określonych przez funkcje jednego bazowego pola. W przypadku komutatywnym rozważana para Laxa równań typu Boussinesqa. Wprowadza się pewne zbudowane niezmiennicze formy i nie-abeliowe funkcje specjalne.
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Measurement invariance of the Belief in a Zero‐Sum Game scale across 36 countries
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Population Health Metrics
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Performance Measurement and Metrics
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New trends in the analysis of the volatile fraction of matrices of vegetable origin: a short overview. A review.
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ENCAPSULATION OF ROXITHROMYCIN INTO GELLAN GUM MATRICES AND THE IMPACT OF OTHER NATURAL POLYMERS ON DRUG RELEASE
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A new approach for the extraction of tetracyclines from soil matrices: application of the microwave-extraction technique
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Catalysis on polymer supports: ESR of molybdenum (V) dispersed in poly(acrylic acid) matrices
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The Current State-of-the-Art in the Determination of Pharmaceutical Residues in Environmental Matrices Using Hyphenated Techniques
PublicationSeveral thousand tons of pharmaceuticals and their transformation products (metabolites and degradation products) are introduced into the environment each year. They affect both human health and the environment, therefore, analytical procedures enabling the determination of a wide range of pharmaceuticals at trace levelswithminimal effort, time, and energy are required. Nowadays, hyphenated techniques are commonly applied in pharmaceutical...
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Nano-structured Pt embedded in the acidic salts of heteropolymolybdate matrices: MS XAFS study
PublicationMultiple-scattering extended X-ray absorption fine structure (MS EXAFS) study combined with TEM and XRD analysis of a novel Pt-based catalyst operating at low temperature fuel cells (FCs) is presented. Innovation in the case of the considered catalyst resides in the use of a porous inorganic matrix of acidic heteropolymolybdate salts as a catalyst support. Obtained results show the relation between the matrix composition and the...
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Comprehensive two-dimensional gas chromatography - promising technique for analysis of complex food matrices
PublicationThe present paper is focused on brief description of operational principle of comprehensive two-dimensional gas chromatography (GC×GC) technique, instrumentation and data processing. Furthermore, the examples of application in the field of food analysis, performed also in the author's laboratory, are given. The detailed discussion of GC×GC characterization and comparison of the volatile composition of berries of different blue...