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Search results for: LEFSCHETZ NUMBERS · NEWTON SEQUENCES · DOLD–FERMAT SEQUENCES · GENERATING SEQUENCES
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Generating sequences of Lefschetz numbers of iterates
PublicationDu, Huang and Li showed in 2003 that the class of Dold–Fermat sequences coincides with the class of Newton sequences, which are defined in terms of socalled generating sequences. The sequences of Lefschetz numbers of iterates form an important subclass of Dold–Fermat (thus also Newton) sequences. In this paper we characterize generating sequences of Lefschetz numbers of iterates.
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Generalized Dold sequences on partially-ordered sets
PublicationDold sequences constitute an important class of integer sequences that play an important role in combinatorics, number theory, topology and dynamical systems. We generalize the notion of Dold sequence for the case of partially ordered sets and describe their properties. In particular we give two alternative descriptions of generalized Dold sequences: by some class of elementary sequences as well as by different...
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Dold sequences, periodic points, and dynamics
PublicationIn this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
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Curlicues generated by circle homeomorphisms
PublicationWe investigate the curves in the complex plane which are generated by sequences of real numbers being the lifts of the points on the orbit of an orientation preserving circle homeomorphism. Geometrical properties of these curves such as boundedness, superficiality, local discrete radius of curvature are linked with dynamical properties of the circle homeomorphism which generates them: rotation number and its continued fraction...
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Thermal sequences database of the skin flaps in breast reconstruction and burns
PublicationThis paper presents a database of Active Dynamic Thermography (ADT) thermal sequences gathered throughout 6 year study on ADT application in skin flap blood perfusion monitoring and burn wounds diagnosis. For skin flap monitoring the database comprises of data collected during three different breast reconstruction procedures. The patients were monitored pre, intra and post surgically within 90 days period. The sequences were used...
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Thermal sequences database of the skin flaps in breast reconstruction and burns
PublicationThis paper presents a database of Active Dynamic Thermography (ADT) thermal sequences gathered throughout 6 year study on ADT application in skin flap blood perfusion monitoring and burn wounds diagnosis. For skin flap monitoring the database comprises of data collected during three different breast reconstruction procedures. The patients were monitored pre, intra and post surgically within 90 days period. The sequences were used...
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On sequences of the white noises
PublicationPodano dowód mocnego prawa wielkich liczb dla funkcjonałów gaussowskich.
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Constructing a map of an anonymous graph: applications of universal sequences
PublicationWe study the problem of mapping an unknown environmentrepresented as an unlabelled undirected graph. A robot (or automaton)starting at a single vertex of the graph G has to traverse the graph and return to its starting point building a map of the graph in the process. We are interested in the cost of achieving this task (whenever possible) in terms of the number of edge traversal made by the robot. Another optimization criteria...
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Analysis of the parameters of respiration patterns extracted from thermal image sequences
PublicationRemote estimation of vital signs is an important and active area of research. The goal of this work was to analyze the feasibility of estimating respiration parameters from video sequences of faces recorded using a mobile thermal camera. Different estimators were analyzed and experimentally verified. It was demonstrated that the respiration rate, periodicity of respiration, and presence and length of apnea periods could be reliably...
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The Conley index and spectral sequences
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MP3vec: A Reusable Machine-Constructed Feature Representation for Protein Sequences
Publication—Machine Learning (ML) methods have been used with varying degrees of success on protein prediction tasks, with two inherent limitations. First, prediction performance often depends upon the features extracted from the proteins. Second, experimental data may be insufficient to construct reliable ML models. Here we introduce MP3vec, a transferable representation for protein sequences that is designed to be used specifically for sequence-to-sequence...
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Journal of Integer Sequences
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Spectral sequences and detailed connection matrices
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A novel method of Mycobacterium tuberculosis complex strain differentiation using polymorphic GC-rich gene sequences.
PublicationTuberculosis is one of the leading infectious diseases. In this work, a new genotyping method of Mycobacterium tuberculosis (Mtb) complex strain is presented. 27 Mtb genomes were analyzed for the presence of length polymorphism within polymorphic GC-rich gene sequences. Four genes, Rv3345c, Rv3507, Rv0747 and Rv3511, showing variation in length depending on the Mtb strain were selected for designing primer sequences flanking variable...
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Approximative sequences and almost homoclinic solutions for a class of second order perturbed Hamiltonian systems
PublicationIn this work we will consider a class of second order perturbed Hamiltonian systems with a superquadratic growth condition on a time periodic potential and a small aperiodic forcing term. To get an almost homoclinic solution we approximate the original system by time periodic ones with larger and larger time periods. These approximative systems admit periodic solutions, and an almost homoclinic solution for the original system...
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Improving Accuracy of Contactless Respiratory Rate Estimation by Enhancing Thermal Sequences with Deep Neural Networks
PublicationEstimation of vital signs using image processing techniques have already been proved to have a potential for supporting remote medical diagnostics and replacing traditional measurements that usually require special hardware and electrodes placed on a body. In this paper, we further extend studies on contactless Respiratory Rate (RR) estimation from extremely low resolution thermal imagery by enhancing acquired sequences using Deep...
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Reversible data hiding in encrypted DICOM images using sorted binary sequences of pixels
PublicationIn this paper, a novel reversible data hiding method for encrypted DICOM images is proposed. The method utilizes binary decomposition of the input data paired with a sorting process of the obtained binary sequences to ensure efficient data embedding in each predefined data block for specific most significant bit (MSB) planes while exploiting the properties of run-length encoding. The proposed scheme is lossless, and based on the...
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Machining process sequencing and machine assignment in generative feature-based CAPP for mill-turn parts
PublicationProcess selection and sequencing, as one of the most complex issues when evaluated from a mathematical point of view and crucial in CAPP, still attract research attention. For the current trend of intelligent manufacturing, machining features (MFs) are the information carriers for workpiece geometry and topology representation. They are basically derived from CAD models and are used by downstream engineering applications. A feature-based...
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Discrimination of hospital isolates of Acinetobacter baumannii using repeated sequences and whole genome alignment differential analysis
PublicationAn optimized method for bacterial strain differentiation, based on combination of Repeated Sequences and Whole Genome Alignment Differential Analysis (RS&WGADA), is presented in this report. In this analysis, 51 Acinetobacter baumannii multidrug-resistance strains from one hospital environment and patients from 14 hospital wards were classified on the basis of polymorphisms of repeated sequences located in CRISPR region, variation...
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Sequences of fixed point indices of iterations in dimension 2.
PublicationW pracy dowodzi się, że każdy ciąg liczb całkowitych spełniający relacje Dolda może zostać zrealizowany jako ciąg indeksów punktu stałego iteracji ciągłego odwzorowania dwuwymiarowego dysku w siebie.
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Mining e-mail message sequences from log data
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Normal-form preemption sequences for an open problem in scheduling theory
PublicationStructural properties of optimal preemptive schedules have been studied in a number of recent papers with a primary focus on two structural parameters: the minimum number of preemptions necessary, and a tight lower bound on shifts, i.e., the sizes of intervals bounded by the times created by preemptions, job starts, or completions. These two parameters have been investigated for a large class of preemptive scheduling problems,...
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Face detection in image sequences using a portable thermal camera
PublicationFace detection is often a first step in quantitative analysis of face images. It is an important research area for visible images and recently also for thermography. Due to technological developments thermal cameras may be embedded into wearable devices to provide remote healthcare. In this paper, we compared three algorithms for face detection in thermal images by testing execution time, accuracy, symmetry ratio and false-positives....
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Recent Advances in DNA and Gene Sequences
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Phylogenetic trees of genus Oncidium Sw. based on analysis of DNA sequences
Open Research DataGenus Oncidium Sw. is widely regarded as a polyphiletic, and the taxonomic boundaries between him and such genera as Odontoglossum Kunth. or Miltonia Lindley remain blurred. The goal of the study was to determine the phylogenetic relationships within the genus Oncidium s.lato based on the DNA sequences analysis. The correlation between molecular data...
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Application of Maximum-Length Sequences to impulse response measurement of hydroacoustic communications systems
PublicationThere is a growing interest in digital transmission of telemetry data on ultrasonic waves. The dependence of signal attenuation on squared frequency, specific to the hy-droacoustic systems, induces problems that do not exist in monochromatic, narrowband radio communications systems. For adapting the transmission parameters to current propagation conditions, a precise knowledge of instantaneous changes of channel performances is...
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Comparative studies of the Acinetobacter genus and the species identification method based on the recA sequences
PublicationZaproponowano metodę genotypowania bakterii rodzaju Acinetobacter, opartą o analizę sekwencji genów recA, amplifikację fragmentów genu recA i analizę profili fragmentów restrykcyjnych po cięciu produktów reakcji PCR enzymami restrykcyjnymi (recA PCR/RFLP). Profile RFLP otrzymane za pomocą enzymu Tsp509I są użyteczne w identyfikacji poszczególnych gatunków bakterii rodzaju Acinetobacter. Na podstawie analizy otrzymanych sekwencji...
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matK sequences alignment of Oncidium Sw. species
Open Research DataComparison of matK gene sequences of 28 species of Oncidium Sw.. Alignment was created using Clustal Omega ver.1.2.4 in SnapGene software 7.1.1.
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Rhythm and Colours of the Angles
PublicationABSTRACT The game of space was and still is a crucial aspect of visual arts. The aim of this study is to examine how the arrangement of hues, rhythms and angles of various polygons can create an impression of depth and movement on a flat surface. The so-called Penrose tiling and Ulam's spiral are mathematical models that have been applied for the painting experiment. There is a vast amount of evidence gathered over the ages that...
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Differences in sequences between HBV-relaxed circular DNA and covalently closed circular DNA
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ITS1 and ITS2 sequences alignment of Oncidium Sw. species
Open Research DataComparison of internal transcribed spacer ( ITS1; ITS2) sequences of 40 species of Oncidium S..w. Alignment was created using Clustal Omega ver.1.2.4 in SnapGene software 7.1.1.
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Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
PublicationLet f be a smooth self-map of m-dimensional, m ≥ 4, smooth closed connected and simply-connected manifold, r a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers, Ann. Polon. Math....
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Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences
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The motion influence on respiration rate estimation from low-resolution thermal sequences during attention focusing tasks
PublicationGlobal aging has led to a growing expectancy for creating home-based platforms for indoor monitoring of elderly people. A motivation is to provide a non-intrusive technique, which does not require special activities of a patient but allows for remote monitoring of elderly people while assisting them with their daily activities. The goal of our study was to evaluate motion performed by a person focused on a specific task and check...
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Detection of specific UL49 sequences of Marek's disease virus CVI988/Rispens strain using loop-mediated isothermal amplification
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PCR-Based Genotyping of Mycobacterium tuberculosis with New GC-Rich Repeated Sequences and IS6110 Inverted Repeats Used as Primers.
PublicationW pracy przedstawiono nową metodę genotypowania Mycobacterium tuberculosis. Zastosowanie oligonukleotydu Mtb1 5'-CCG-GCG-GGG-CCG-GCG-G lub Mtb2 5'-CGG-CGG-CAA-CGG-CGG-C wraz z oligonukleotydami specyficznymi do terminalnych sekwencji elementu insercyjnego IS6110 pozwala na różnicowanie szczepów Mycobacterium tuberculosis w metodzie PCR. Opracowana metoda może być wykorzystana w badaniach epidemiologicznych gruźlicy.
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Wybrane metody lokalizacji twarzy na obrazie statycznym i ruchomym=Selected methods of face localization on still images and in video sequences
PublicationW pracy zaprezentowano wybrane metody lokalizacji, wykorzystujące różne podejścia i rodzaje informacji: algorytm działający w oparciu o analizę barwy i kształtu, metodę map krawędzi oraz elastyczne wzorce służące do precyzyjnej lokalizacji cech. Oprócz tego przedstawiono dwie metody śledzenia twarzy na obrazie ruchomym.
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D-loop sequences retrieved from Canis lupus familiaris mitochondrial genome
Open Research DataCanine mitochondrial genome is built of 16727 bp. Non-coding control region (mtCR), called also D-loop, begins with 15458 nucleotide and ends with 16727 nucleotide. The length of this fragment is 1270 bp (Kim et al., 1998). D-loop region is responsible for replication and transcription of mitochondrial DNA. Mutations that occur within it may cause irregularity...
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A new Toxoplasma gondii chimeric antigen containing fragments of SAG2, GRA1, and ROP1 proteins—impact of immunodominant sequences size on its diagnostic usefulness
PublicationThis study presents the first evaluation of new Toxoplasma gondii recombinant chimeric antigens containing three immunodominant regions of SAG2, GRA1, and one of two ROP1 fragments differing in length for the serodiagnosis of human toxoplasmosis. The recombinant chimeric antigens SAG2-GRA1-ROP1L (with large fragment of ROP1, 85-396 amino acid residues) and SAG2-GRA1-ROP1S (with a small fragment of ROP1, 85-250 amino acid residues)...
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Germline DNA Retention in Murine and Human Rearranged T Cell Receptor Gene Coding Joints: Alternative Recombination Signal Sequences and V(D)J Recombinase Errors
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International Conference on Sequences and their Applications
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Probiotic strains from bee products - sequences and other data
Open Research DataThis folder contains seqences and other data necessary for evaluation of probiotic potential of bacteria islated from bee products.
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Reducing the number of periodic points in the smooth homotopy class of a self-map of a simply-connected manifold with periodic sequence of Lefschetz numbers
PublicationLet f be a smooth self-map of an m-dimensional (m >3) closed connected and simply-connected manifold such that the sequence of the Lefschetz num- bers of its iterations is periodic. For a fixed natural r we wish to minimize, in the smooth homotopy class, the number of periodic points with periods less than or equal to r. The resulting number is given by a topological invariant J[f] which is defned in combinatorial terms and is...
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Sequences of large subunit ribosomal RNA gene, partial sequence encoding D1/D2 domain of psychrotolerant pigment-producing yeast-like fungi
Open Research DataDNA fragments encoding D1/D2 domain of large subunit ribosomal RNA of psychrotolerant pigment-producing yeast-like fungi named Red, Pink and Black were PCR amplified using NL1 5’ GCATATCAATAAGCGGAGGAAAAG 3’ and NL4 5’ GGTCCGTGTTTCAAGACGG 3’ primers and sequenced by Sanger method using the same primers.
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Sequences of internal transcribed spacer 1, 5.8S ribosomal RNA gene and internal transcribed spacer 2 of psychrotolerant pigment-producing yeast-like fungi
Open Research DataDNA encoding ITS1-5.8S-ITS2 fragments of psychrotolerant pigment-producing yeast-like fungi named Red, Pink and Black were PCR amplified using ITS1 5' TCCGTAGGTGAACCTGCGG 3' and ITS4 5’ TCCTCCGCTTATTGATATGC 3’ primers and sequenced by Sanger method using the same primers.
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Chromatic cost coloring of weighted bipartite graphs
PublicationGiven a graph G and a sequence of color costs C, the Cost Coloring optimization problem consists in finding a coloring of G with the smallest total cost with respect to C. We present an analysis of this problem with respect to weighted bipartite graphs. We specify for which finite sequences of color costs the problem is NP-hard and we present an exact polynomial algorithm for the other finite sequences. These results are then extended...
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On the Origin of Protein Superfamilies and Superfolds
PublicationDistributions of protein families and folds in genomes are highly skewed, having a small number of prevalent superfamiles/superfolds and a large number of families/folds of a small size. Why are the distributions of protein families and folds skewed? Why are there only a limited number of protein families? Here, we employ an information theoretic approach to investigate the protein sequence-structure relationship that leads to...
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ANALIZA WPŁYWU NIEJEDNOCZESNOŚCI ZAMYKANIA BIEGUNÓW ŁĄCZNIKA NA PRĄDY ZAŁĄCZENIOWE TRANSFORMATORA W STANIE JAŁOWYM
PublicationW artykule przedstawiono wyniki obliczeń symulacyjnych prądów załączeniowych transformatora dla różnych sekwencji zamykania biegunów łącznika. Sekwencje różniły się kolejnością łączenia faz oraz czasami opóźnienia w zamykaniu biegunów. Rozważono także kilka wariantów stanu namagnesowania szczątkowego rdzenia. Na podstawie analizy wyników stwierdzono, że przy jednoczesnym zamykaniu biegunów łącznika, właściwy dobór chwili załączenia...
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Systematic approach to binary classification of images in video streams using shifting time windows
Publicationin the paper, after pointing out of realistic recordings and classifications of their frames, we propose a new shifting time window approach for improving binary classifications. We consider image classification in tewo steps. in the first one the well known binary classification algorithms are used for each image separately. In the second step the results of the previous step mare analysed in relatively short sequences of consecutive...
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Evidence of mutations conferring resistance to clarithromycin in wastewater and activated sludge
PublicationThe occurrence of clarithromycin in wastewater samples and of the activated sludge bacteria possibly resistant to this pharmaceutical was the object of the study. Samples of wastewater or activated sludge were taken from a municipal wastewater treatment plant in summer and winter and characterised regarding their clarithromycin concentrations and the presence of nucleic acid fragments (Cla-sequences) known to be responsible for...