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Shannon Capacity and Ramsey Numbers
PublicationRamsey-type theorems are strongly related to some results from information theory. In this paper we present these relations.
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Turán numbers for odd wheels
PublicationThe Turán number ex(n,G) is the maximum number of edges in any n-vertex graph that does not contain a subgraph isomorphic to G. A wheel W_n is a graph on n vertices obtained from a C_{n−1} by adding one vertex w and making w adjacent to all vertices of the C_{n−1}. We obtain two exact values for small wheels: ex(n,W_5)=\lfloor n^2/4+n/2\rfloor, ex(n,W_7)=\lfloor n^2/4+n/2+1 \rfloor. Given that ex(n,W_6) is already known, this...
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Eradication of LIG4-deficient glioblastoma cells by the combination of PARP inhibitor and alkylating agent
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Overcome the tumor immunotherapy resistance by combination of the HDAC6 inhibitors with antitumor Immunomodulatory agents.
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Scaling diminution by heterogeneous crystallization in a filtration element integrated with membrane distillation module
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Nanoparticles associated with antimicrobial peptides (AMPs) promising combination for biomedical and veterinary applications
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More is Less? Optimal Combination Therapy for Adequate Blood Pressure Lowering in Hypertension
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Analysis of hull, propeller and engine interactions in regular waves by a combination of experiment and simulation
PublicationAnalysis of hull, propeller and engine interactions in regular waves by a combination of experiment and simulation
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Minimal number of periodic points for smooth self-maps of RP^3
PublicationNiech f będzie gładkim odwzorowaniem 3-wymiarowej rzeczywistej przestrzeni rzutowej w siebie, r będzie ustaloną liczbą naturalną. W artykule wyznaczona została minimalna liczba punktów r-periodycznych w gładkiej klasie homotopii odwzorowania f.
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On the growth of the number of periodic points for smooth self maps of a compact manifold
PublicationDla ciągłego przekształcenia jednospójnej rozmaitości wymiaru co najmniej 3 w siebie, wykazujemy, że wzrost liczby punktów r-periodycznych w klasie homotopii może być nie szybszy niż liniowy, dla dowolnego, ustalonego r.
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Quasi-resonant dc-link inverter with a reduced number of active elements
PublicationW artykule przedstawiono nową topologię równoległego quasi-rezonansowego obwodu pośredniczącego falownika napięcia. Opisano sekwencje miękkiej komutacji falownika w dwukierunkowym trybie pracy falowniczej i prostowniczej. Analiza układu została zweryfikowana badaniami symulacyjnymi i eksperymentalnymi. Przedstawiona topologia odznacza się prostą strukturą oraz małą ilością elementów aktywnych. Dzięki zastosowaniu krzepkiej strategii...
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Emphysema affects the number and characteristics of solitary pulmonary nodules. Authors' reply
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Reducing the Number of Microlocations in Oligonucleotide Microchip Matrices by the Application of Degenerate Oligonucleotides
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Minimal number of periodic points for smooth self-maps of S^3
PublicationW pracy wyznaczona została najmniejsza liczba punktów periodycznych w gładkiej klasie homotopii odwzorowania sfery trójwymiarowej w siebie.
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Maximum A Posteriori Bayesian Estimation of Chromatographic Parameters by Limited Number of Experiments
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A self-stabilizing algorithm for finding a spanning tree in a polynomial number of moves
PublicationW pracy rozważa się rozproszony model obliczeń, w którym struktura systemu jest reprezentowana przez graf bezpośrednich połączeń komunikacyjnych. W tym modelu podajemy nowy samostabilizujący algorytm znajdowania drzewa spinającego. Zgodnie z naszą wiedzą jest to pierwszy algorytm dla tego problemu z gwarantowaną wielomianową liczbą ruchów.
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Mersenne Number Finding and Collatz Hypothesis Verification in the Comcute Grid System
PublicationIn this chapter, some mathematic applications have been described to test scalability of the Comcute grid system. Especially, a verification of the Collatz hypothesis and finding Mersenne numbers were applied to prove the scalability and high performance of this grid system. Results were compared with outcomes obtained by the other grid systems.
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Realistic noise-tolerant randomness amplification using finite number of devices
PublicationRandomness is a fundamental concept, with implications from security of modern data systems, to fundamental laws of nature and even the philosophy of science. Randomness is called certified if it describes events that cannot be pre-determined by an external adversary. It is known that weak certified randomness can be amplified to nearly ideal randomness using quantum-mechanical systems. However, so far, it was unclear whether randomness amplification...
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Mechanical exfoliation and layer number identification of single crystal monoclinic CrCl3
PublicationAfter the recent finding that CrI3, displays ferromagnetic order down to its monolayer, extensive studies have followed to pursue new two-dimensional (2D) magnetic materials. In this article, we report on the growth of single crystal CrCl3 in the layered monoclinic phase. The system after mechanical exfoliation exhibits stability in ambient air (the degradation occurs on a time scale at least four orders of magnitude longer than...
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Buckling and shape control of prestressable trusses using optimum number of actuators
PublicationThis paper describes a method to control the nodal displacement of prestressable truss structures within the desired domains. At the same time, the stress in all members is unleashed to take any value between the allowable tensile stress and critical buckling stress. The shape and stresses are controlled by actuating the most active members. The technique considers the members’ initial crookedness, residual stresses, and slenderness...
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Accuracy Of The GPS Positioning System In The Context Of Increasing The Number Of Satellites In The Constellation
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Surface water quality assessment by the use of combination of multivariate statistical classification and expert information
PublicationThe present study deals with the assessment of surface water quality from an industrial-urban region located in northern Poland near to the city of Gdansk. Concentrations of thirteen chemicals includingtotal polycyclic aromatic hydrocarbons (PAHs), halogenated volatile organic compounds (HVOCs) and major ions in the samples collected at five sampling points during six campaigns were used as variablesthroughout the study. The originality...
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Cellular and Gene Expression Response to the Combination of Genistein and Kaempferol in the Treatment of Mucopolysaccharidosis Type I
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Combination of therapy with 5-fluorouracil and cisplatin with electroporation in human ovarian carcinoma model in vitro
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The enhancement of anti-staphylococcal potential of plant derived naphthoquinones as a result of combination with silver nanoparticles
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The Current Use of Mass Spectrometry in Combination with Other Separation Techniques in Drug Discovery Arena
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Combination of instrumental and qualitative descriptive analysis for evaluation of selected tonic waters quality features
PublicationThe combination of sensory and instrumental analysis was applied for quality assurance of selected tonic waters. The Quantitative Descriptive Analysis (QDA) in terms of fourteen sensory attributes (aroma, astringency, bite, burn, numbing, tongue heaviness, carbonation, mouth coating, sweet taste, sour taste, bitter taste, sweet aftertaste, sour aftertaste, bitter aftertaste) of selected tonic waters was performed by sensory experts....
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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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On-line Ramsey Numbers of Paths and Cycles
PublicationConsider a game played on the edge set of the infinite clique by two players, Builder and Painter. In each round, Builder chooses an edge and Painter colours it red or blue. Builder wins by creating either a red copy of $G$ or a blue copy of $H$ for some fixed graphs $G$ and $H$. The minimum number of rounds within which Builder can win, assuming both players play perfectly, is the \emph{on-line Ramsey number} $\tilde{r}(G,H)$. In...
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A NOTE ON ON-LINE RAMSEY NUMBERS FOR QUADRILATERALS
PublicationWe consider on-line Ramsey numbers defined by a game played between two players, Builder and Painter. In each round Builder draws an the edge and Painter colors it either red or blue, as it appears. Builder’s goal is to force Painter to create a monochromatic copy of a fixed graph H in as few rounds as possible. The minimum number of rounds (assuming both players play perfectly) is the on-line Ramsey number \widetilde{r}(H) of...
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Accurate rolling resistance Rolling resistance measurements can be influenced by a number of factors
PublicationTire rolling resistance is one of the most difficult-to-measure parameters of the tire/ pavement interface, especially if road measurements are required. First of all, it is necessary to measure a fairly small force in the system that is heavily loaded by other forces and subjected to many adverse effects causing measurement errors. The second problem is related to the fact that tire rolling resistance depends on many factors,...
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Performance of data transmission in UMTS with turbo code about decreased number of states
PublicationIn the paper a structure of turbo encoder and decoder about decreased number of states has been described. The simulation results of transmission performance based on turbo coding without the reduction of the number of iterations for the uplink and downlink of WCDMA/FDD interface have been presented. The SOVA algorithm for turbo decoding has been used. The investigations have been carried out for Outdoor to Indoor & Pedestrian...
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The influence of oscillatory low pressure on bacteria number in groundwater supplied to distribution system
PublicationPrzedstawiono wyniki wstępnych badań laboratoryjnych nad wpływem stałego podwyższonego ciśnienia oraz częstych i gwałtownych jego zmian na liczbę bakterii w wodzie podziemnej. Określono zmiany liczby bakterii heterotroficznych (na agarze R2A) oraz całkowitej liczby bakterii (DAPI) w wodzie podziemnej (w temperaturze 20 st.C w okresie 96 h) poddawanej ciągłemu ciśnieniu 0,6 MPa i porównano z uzyskanymi w wodzie poddanej gwałtownym...
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Design of a complex multiplier based on the convolution with the use of the polynomial residue number system
Publicationzaproponowano realizację mnożnika zespolonego opartego na algorytmie dekompozycyjnym skavantzosa i stouraitisa. mnożenie zespolone jest wykonywane jako splot 8-punktowy. przedstawiono przykład obliczeniowy i architekturę mnożnika dla małych liczb.
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Machine Learning and data mining tools applied for databases of low number of records
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Evaluation of a 10 nm Particle Number Portable Emissions Measurement System (PEMS)
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Advances in engineering of diameter and distribution of the number of walls of carbon nanotubes in alcohol CVD
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Porównanie wydajności modyfikacji algorytmu Proof-number search uwzględniających wartości remisowe
PublicationProof-number search to znana rodzina algorytmów służących do wyznaczania wartości pozycji w nielosowych grach dwóch graczy z pełną informacją. W wersji podstawowej pn-search doskonale radzi sobie z wyszukiwaniem strategii wygrywającej jednego z graczy. Jednak istnieje wiele znanych gier, w których obydwaj gracze posiadają jedynie strategię remisującą (Młynek, Awari, Warcaby). W niniejszej pracy porównano wydajność dwóch modyfikacji...
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Minimizing the number of periodic points for smooth maps. Non-simply connected case
PublicationNiech f będzie gładkim odwzorowaniem zamkniętej rozmaitości o wymiarze wiekszym niż 2, a r ustaloną liczbą naturalną. W artykule zdefiniowany został niezmiennik topologiczny równy minimalnej liczbie punktów r-periodycznych w gładkiej klasie homotopii f.
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Application of Regression Line to Obtain Specified Number of Points in Reduced Large Datasets
PublicationModern measurement techniques like scanning technology or sonar measurements, provide large datasets, which are a reliable source of information about measured object, however such datasets are sometimes difficult to develop. Therefore, the algorithms for reducing the number of such sets are incorporated into their processing. In the reduction algorithms based on the...
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A bound on the number of middle-stage crossbars in f-cast rearrangeable Clos networks
PublicationIn 2006 Chen and Hwang gave a necessary and sufficient condition under which a three-stage Clos network is rearrangeable for broadcast connections. Assuming that only crossbars of the first stage have no fan-out property, we give similar conditions for f-cast Clos networks, where f is an arbitrary but fixed invariant of the network. Such assumptions are valid for some practical switching systems, e.g. high-speed crossconnects....
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2-bondage in graphs
PublicationA 2-dominating set of a graph G=(V,E) is a set D of vertices of G such that every vertex of V(G)D has at least two neighbors in D. The 2-domination number of a graph G, denoted by gamma_2(G), is the minimum cardinality of a 2-dominating set of G. The 2-bondage number of G, denoted by b_2(G), is the minimum cardinality among all sets of edges E' subseteq E such that gamma_2(G-E') > gamma_2(G). If for every E' subseteq E we have...
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Fixed-Dose Combination of NSAIDs and Spasmolytic Agents in the Treatment of Different Types of Pain—A Practical Review
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Environmental Phage-Based Cocktail and Antibiotic Combination Effects onAcinetobacter baumanniiBiofilm in a Human Urine Model
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Rumination about the Russo‐Ukrainian War and its related factors among individuals in Poland and Ukraine
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Environmental risk- based ranking of solvents by the combination of multimedia model and multi-criteria decision analysis
PublicationA novel procedure for assessing the environmental risk related to solvents emissions has been developed. The assessment of risk is based on hazard and exposure detailed investigations. The potential exposure related to different environmental phases is calculated with basic multimedia model, that gives the percentage distribution of solvent in environmental compartments as a result. Specific hazards– toxicological, environmental...
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Supramolecular Synthesis Based on a Combination of Se···N Secondary Bonding Interactions with Hydrogen and Halogen Bonds
PublicationExamination of the solid state structures of 2,1,3-benzoselenadiazole complexes with hydrogen or halogen bond donors has demonstrated that the 2,1,3-benzoselenadiazole molecules preferably form centrosymmetric dimers with use of [Se–N]2 supramolecular synthon, whereas the two remaining nitrogen atoms not involved in the [Se–N]2 supramolecular interactions can act as acceptors of hydrogen or halogen bonds. Cocrystallization of selenadiazoles...
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COMBINATION OF ARCHITECTURAL, ENVIRONMENTAL, AND SOCIAL ASPECTS IN URBAN STORMWATER MANAGEMENT. A CASE STUDY OF THE UNIVERSITY CAMPUS
PublicationIncreasing a city’s resilience against climate change is one of the major concerns of today. Sustainable stormwater management, using Green Infrastructure units (GI) integrated with an urban area, has proved to be effective in flooding control and to offer extra benefits encompassing groundwater recharge, stormwater treatment, mitigation of air pollution, and an urban micro-climate. Moreover, GI brings cultural benefits for the...
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The study on the appearance of deformation defects in the yacht lamination process using an AI algorithm and expert knowledge
PublicationThis article describes the application of the A-priori algorithm for defining the rule-based relationships between individual defects caused during the lamination process, affecting the deformation defect of the yacht shell. The data from 542 yachts were collected and evaluated. For the proper development of the algorithm, a technological process of the yacht lamination supported by expert decisions was described. The laminating...
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A Quantitative Investigation of Dislocation Density in an Al Matrix Composite Produced by a Combination of Micro-/Macro-Rolling
PublicationAn aluminum matrix composite with dispersed carbon nanotubes (CNTs) was produced via flake powder metallurgy using a micro-rolling process and vacuum hot pressing (VHP), followed by conventional rolling using a macro-rolling process. The microstructure and mechanical properties of the produced composites were studied. In addition, a new quantitative model was introduced to study the dislocation density based on the microstructural...