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Search results for: 4,5-DIHYDRO-1H-IMIDAZOLE
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The fracture behaviour of notched PMMA specimens under simple loading conditions – Tension and torsion experimental tests
PublicationThis paper presents the results of experimental testing of flat PMMA specimens during uniaxial loading conditions. Two separate tests were conducted: tensile and torsion. The specimens were weakened with V-type edge notches with different root radii: 0.5; 2 and 10 mm. The specimens were made in two thickness variants: 5 and 15 mm. Monotonic tensile and torsion tests were carried out while keeping the averaged strain rate constant,...
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Shared processor scheduling of multiprocessor jobs
PublicationWe study a problem of shared processor scheduling of multiprocessor weighted jobs. Each job can be executed on its private processor and simultaneously on possibly many processors shared by all jobs. This simultaneous execution reduces their completion times due to the processing time overlap. Each of the m shared processors may charge a different fee but otherwise the processors are identical. The goal is to maximize the total...
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Gender Disparity in the FinTech Sector: Systematic Literature Review
PublicationThe main objective of this chapter is to identify research areas of FinTech activity in which gender disparity has been observed. In addition, we shall identify how the development of FinTech reduces the gender gap. A systematic literature review using the PRISMA concept is the preferred research method. Publications were searched in the following databases: Web of Science, Scopus and Google Scholar using the formula “FinTech AND...
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Application of Feed Forward Neural Networks for Modeling of Heat Transfer Coefficient During Flow Condensation for Low and High Values of Saturation Temperatur
PublicationMost of the literature models for condensation heat transfer prediction are based on specific experimental parameters and are not general in nature for applications to fluids and non-experimental thermodynamic conditions. Nearly all correlations are created to predict data in normal HVAC conditions below 40°C. High temperature heat pumps operate at much higher parameters. This paper aims to create a general model for the calculation...
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Dissimilar autogenous TIG joint of Alloy 617 and AISI 304H steel for AUSC application
PublicationTo reduce costs and improve high-temperature performance in Advanced Ultra Super Critical (AUSC) boilers, it is necessary to weld austenitic steel to Inconel alloy. In this study, the autogenous tungsten inert gas (TIG) welding process was used to join Alloy 617 and an austenitic AISI 304H steel plate of thickness 5 mm. Microstructural analysis showed that the microstructure formation was uneven along the weldments, with columnar...
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Zero-knowledge convincing protocol on quantum bit is impossible
PublicationIt is one of fundamental features of quantum formalism that o n one hand it provides a new infor- mation processing resources and on the other hand puts funda mental constraints on the processing of quantum information implying “no-go” theorems for cloni ng [1–3], bit commitment [4, 5] and deleting [6] in quantum theory. Here we ask about possibilit y of “zero knowledge” scenario which, for its simplicity, can be considered as...
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An overview of the strategies for the deammonification process start-up and recovery after accidental operational failures
PublicationThe deammonification process has been universally acknowledged as an energy-efficient technology for sewage disposal. In contrast with traditional biological nitrogen removal technology, the deammonification process is able to remove ammonia from wastewater with the simplest nitrogen removal process because of its advantages of lower operating expenses, no organic carbon consumption, lower biomass production, lower carbon dioxide...
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Recent Advances in Loop Heat Pipes with Flat Evaporator
PublicationThe focus of this review is to present the current advances in Loop Heat Pipes (LHP) with flat evaporators, which address the current challenges to the wide implementation of the technology. A recent advance in LHP is the design of flat-shaped evaporators, which is better suited to the geometry of discretely mounted electronics components (microprocessors) and therefore negate the need for an additional transfer surface (saddle)...
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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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Greencoin as an AI-Based Solution Shaping Climate Awareness.
PublicationOur research aim was to define possible AI-based solutions to be embedded in the Green- coin project, designed as a supportive tool for smart cities to achieve climate neutrality. We used Kamrowska-Załuska’s approach for evaluating AI-based solutions’ potential in urban planning. We narrowed down the research to the educational and economic aspects of smart cities. Furthermore, we used a systematic literature review. We propose...
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Tailoring Diffusional Fields in Zwitterion/Dopamine Copolymer Electropolymerized at Carbon Nanowalls for Sensitive Recognition of Neurotransmitters
PublicationThe importance of neurotransmitter sensing in the diagnosis and treatment of many psychological illnesses and neurodegenerative diseases is non-negotiable. For electrochemical sensors to become widespread and accurate, a long journey must be undertaken for each device, from understanding the materials at the molecular level to real applications in biological fluids. We report a modification of diamondized boron-doped carbon nanowalls...
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Exergy and Energy Analyses of Microwave Dryer for Cantaloupe Slice and Prediction of Thermodynamic Parameters Using ANN and ANFIS Algorithms
PublicationThe study targeted towards drying of cantaloupe slices with various thicknesses in a microwave dryer. The experiments were carried out at three microwave powers of 180, 360, and 540 W and three thicknesses of 2, 4, and 6 mm for cantaloupe drying, and the weight variations were determined. Artificial neural networks (ANN) and adaptive neuro-fuzzy inference systems (ANFIS) were exploited to investigate energy and exergy indices of...
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Electrical properties of A-site Ca-doped LaNb1-xAsxO4-δ ceramics
PublicationThe electrical properties of A-site Ca-doped LaNbO4 with the addition of As in the B-site, have been investigated. Total, grain- and specific grain boundary electric conductivities in different oxygen partial pressure, and water vapour partial pressure were determined. Additional conductivity measurements were performed in nitrogen, to suppress the possible p-type conductivity, focusing on protonic conductivity. The maximum measured...
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Dose-dependent influence of commercial garlic (Allium sativum) on rats fed cholesterol-containing diet
PublicationCelem badań było określenie, czy handlowy preparat czosnku może być użyty jako wartościowy składnik diety zapobiegającej wystąpieniu arteriosklerozy. Jako miarę takiego działania przyjęto ograniczenie wzrostu poziomu lipidów, obniżenie poziomu wybranych białek oraz zachowanie poziomu antyoksydantów w surowicy krwi.Wiadomo, że badany produkt ma dużą zawartość włókien błonnika, mikroelementów i polifenoli. Ogólna zawartość przeciwutleniaczy...
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Plastic Debris in the Stomach of the Invasive Signal Crayfish Pacifastacus leniusculus from a Baltic Coastal River
PublicationPollution by plastic debris, widely recognized as a growing global problem [1-3] is caused by the production of synthetic polymers. Over recent years, the production of plastics has increased, while in Europe, fossil-based plastics production has decreased, and recycled plastics production has increased [4]. There are different types of plastics. Some types of plastic ingredients, applied in a wide variety of cosmetics and personal...
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Rapana venosa consumption improves the lipid profiles and antioxidant capacities in serum of rats fed an atherogenic diet
PublicationIn the recent years, the consumption of seafood has increased. There are no results on the studies of Rapana venosa (Rv) as a supplementation to the diets. We hypothesized that Rv would increase antioxidant capacity and reduce blood lipids, based on the composition of bioactive compounds and fatty acids. Therefore, the aim of this investigation was to evaluate in vitro and in vivo actions of Rv from contaminated (C) and non-C (NC)...
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Izolacja drożdży psychrotolerancyjnych oraz ocena ich zdolności do wykorzystania N-fosfonometyloglicyny jako źródła pierwiastków biogennych
PublicationN-fosfonometyloglicyna (PMG, glifosat) jest substancją aktywną herbicydu Roundup o szerokim spektrum aktywności biologicznej. Mechanizm jego działania opiera się na inhibicji aktywności syntazy 5-enolopirogroniano-szikimowo-3-fosforanowej (EPSP), przez co hamowana jest biosynteza aminokwasów aromatycznych u roślin. Glifosat jest związkiem fosforoorganicznym, w którego budowie wyróżnia się trwałe wiązanie C-P. Szybkość rozkładu...
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Diagnostic PCR assay for Microsporum and Trichophyton infections
PublicationWe have previously described a highly sensitive 5-hour PCR test for the rapid diagnosis of onychomycosis which detects any dermatophyte and species-identify T. rubrum from patient specimens. We have subsequently developed and evaluated new PCR tests for detection of Trichophyton and Microsporum canis/audouinii infections.58 dermatophyte isolates (21) Microsporum spp. (4 different species), 35 Trichophyton spp (10 different species)...
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Persulfates to degrade a mixture of dyes (rhodamine B, methylene blue) in the presence of glucose and visible light
PublicationA treatment process utilizing visible-light-activated (Vis) persulfates (PS) in the presence of an organic promoter (glucose) was developed for the simultaneous decolorization of a rhodamine B (RhB) and methylene blue (MB) mixture. Various doses of glucose, PS concentrations, pH values, initial dye concentrations and process time were tested to find out the most appropriate parameters for degrading the RhB/MB mixture in the...
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Processing, mechanical and thermal behavior assessments of polycaprolactone/agricultural wastes biocomposites
PublicationIn this paper, brewer’s spent grain (BSG) was applied as potential lignocellulose biofiller in biocompos-ites based on polycaprolactone (PCL). The PCL/BSG biocomposites filled with varying content of biofillerswere prepared via low-temperature melt-compounding. These conditions allow limiting thermal degra-dation of used biofillers during processing. The influence of biofiller content (ranging from 25 to 200parts by weight on 100...
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Pantographic metamaterials: an example of mathematically driven design and of its technological challenges
PublicationIn this paper, we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be solved was stated as follows: determine the material (micro)structure governed by those...
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Hückel i Möbius - zjawisko aromatyczności dawniej i dziś
PublicationPojęcie aromatyczności zagościło w chemii, kiedy to August W. Hofmann użył go do opisu pewnej grupy kwasów karboksylowych. W 1856 ukazał się jego artykuł "On insolinic acid", gdzie opisywał on utlenianie kwasu kuminowego kwasem chromowym. Stwierdzenie "kwasy aromatyczne" pojawia się tam dwukrotnie, jednak bez żadnego wyjaśnienia. Z czasem wszystkie związki o wysokim stopniu nienasycenia oraz nadzwyczajnej trwałości (czyt. pochodne...
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Wykonanie ekspertyzy technicznej Stadionu Miejskiego w Białymstoku. Część II. Analiza konstrukcji żelbetowej płyty jezdnej estakady na poziomie „+1”
PublicationPrzedmiotem opracowania jest konstrukcja żelbetowej płyty jezdnej estakady przyległej do krótszego boku korpusu Stadionu Piłkarskiego w Białymstoku, wykonanego w ramach inwestycji realizowanej przez OHL: ,,Budowa Stadionu Piłkarskiego w regionie północno – wschodniej Polski wraz z zapleczem treningowym”. Celem opracowania jest analiza przyczyn występowania wad i uszkodzeń estakady, w szczególności spękania masy wypełniającej szczeliny...
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Solid state versus fiber picosecond infrared lasers applied to two-photon vision tests
PublicationDevelopment of new microperimetric tools dedicated for imaging of early functional changes in the retina may help in the monitoring of various ocular diseases progression e.g. Age-Related Macular Degeneration. Recently described two-photon vision may be applied to microperimetric devices. Many subjects with well-known disease history could be investigated with newly developed instrumentation that tests ability of human eye to perceive...
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Combined anticancer therapy with imidazoacridinone analogue C‐1305 and paclitaxel in human lung and colon cancer xenografts—Modulation of tumour angiogenesis
PublicationThe acridanone derivative 5-dimethylaminopropylamino- 8- hydroxytriazoloacridinone (C-1305) has been described as a potent inhibitor of cancer cell growth. Its mechanism of action in in vitro conditions was attributed, among others, to its ability to bind and stabilize the microtubule network and subsequently exhibit its tumour- suppressive effects in synergy with paclitaxel (PTX). Therefore, the objective of the present study...
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Laboratory station for research of the innovative dry method of exhaust gas desulfurization for an engine powered with residual fuel
PublicationContemporary methods of exhaust gas desulfurization in marine engines are all expensive methods (4-5 million euro). This is, among other reasons, due to the limited market audience, but primarily due to the monop-olized position of manufacturers offering fabrication and assembly of this type of marine ship installations. Proposed as part of a research project financed by the Regional Fund for Environmental Protection and Maritime...
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Design Methodology for Small Passenger Ships On the Example of the Ferryboat Motława 2 Driven by Hybrid Propulsion System
PublicationDynamic development in practically all elds of science and engineering has not passed over shipbuilding . In last years , engineers got to their use computer soware which makes it possible to perform strength and hydrodynamic calculations as well as to visualize design projects in 3 D space [1-4]. At their disposal they have full spectrum of modern solutions associated with the use of advanced materials and technologies [5-7]....
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Imigranci z Kazachstanu w Polsce w warunkach członkostwa w UE
PublicationImigranci z byłych krajów ZSRR rozpoczęli przybywać do Polski od 1992 r. Zjawisko to wiązało się z otwarciem polskich granic i ze zmianą sytuacji politycznej. Przyjazdy obywateli Kazachstanu były możliwe dzięki podpisaniu przez Polskę stosownych umów międzynarodowych, porozumień ramowych z Wspólnotami Europejskimi oraz umów bilateralnych podpisanych przez rząd Polski z rządem Kazachstanu. Choć nawiązanie stosunków dyplomatycznych...
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Opinia dotycząca zagadnień technologicznych w prowadzonej sprawie sądowej: sygn. akt XI GC 887/15 w zakresie postanowienia Sądu Rejonowego Szczecin-Centrum, Wydział XI Gospodarczy, z dnia 9 stycznia 2017 r.
PublicationCelem opinii, zgodnie z postanowieniem Sądu Rejonowego Szczecin – Centrum w Szczecinie z dnia 9 stycznia 2017 r., pod przewodnictwem Sędziego Sądu Rejonowego Andrzeja Muzyka, jest ustalenie: 1. Czy skrapiarka EKS 2000 jest przeznaczona do transportu lepiszczy bitumicznych oraz skropienia nimi nawierzchni przy budowie i naprawie dróg? 2. Czy składnikiem takich lepiszczy jest cement? 3. Czy prawidłowym jest dodawanie...
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The effect of thermal modification on the quality of the milled surface of beech and pine wood
PublicationThe article deals with the effect of thermal modification on the quality of the created surface during milling on CNC milling cutters. The quality of the created surface is evaluated based on surface roughness, specifically its roughness parameter Ra. The observed surface is created by a shank cutter with a diameter of 20 mm and three cutting edges in a spiral at a standard speed of 18,000. min-1. The article compares thermally...
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The experimental and numerical investigation of fracture behaviour in PMMA notched specimens under biaxial loading conditions – Tension with torsion
PublicationThis paper presents the results of experimental fracture test of flat PMMA specimens under biaxial loading condition tension with torsion (proportional). The specimens were made in two thicknesses: 5 and 15 mm and were weakened with V-type edge notches with different root radii: 0.5; 2 and 10 mm. Thanks to the ARAMIS 3D 4 M non-contact vision system, measurement of the elongation and twist angle were recorded. During experimental...
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Któtkoterminowe prognozowanie dopływu ścieków do oczyszczalni na podstawie ilości zużywanej wody.
PublicationBieżące pomiary oraz krótkoterminowe prognozy dotyczące ilości i parametrów jakościowych ścieków surowych mają podstawowe znaczenie przy ustalaniu warunków normalnej pracy oczyszczalni ścieków. W stanach zakłóceniowych znaczenie tych informacji jest jeszcze większe. Pozwalają one przygotować oczyszczalnię do bezpiecznego przyjęcia partii ścieków o znacząco zmienionych parametrach. Prognozowanie parametrów charakteryzujących ścieki...
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The productive function of the will in the pfilosophical thought of William James
PublicationW artykule przedstawiłem W. Jamesa koncepcję wolnej woli w jej wytwórczej funkcji. Pokazałem, że zrównuje ona ludzkie poznanie i ludzką aktywność. Następnie podkreśliłem, że wola ma wieloaspektowy charakter w formowaniu nowego "wewnętrznego człowieka". W związku z tym, zanalizowałem tzw. empiryczne 'ja' jako "niższe" i "wyższe" 'ja'. Z kolei podkreśliłem walor konsekwencji teleologicznej cechy ludzkiej...
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Human UDP-Glucuronosyltransferases: Effects of altered expression in breast and pancreatic cancer cell lines.
PublicationIncreased aerobic glycolysis and de novo lipid biosynthesis are common characteristics of invasive cancers. UDP-glucuronosyltransferases (UGTs) are phase II drug metabolizing enzymes that in normal cells possess the ability to glucuronidate these lipids and speed their excretion; however, de-regulation of these enzymes in cancer cells can lead to an accumulation of bioactive lipids, which further fuels cancer progression. We hypothesize...
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Fotometryczny czujnik glukozy oparty na enzymatycznych paskach testowych
PublicationCukrzyca jest chorobą dotykającą co roku na całym świecie około 3 mln ludzi [1]. Brak możliwości wyleczenia choroby generuje koszty związane z jej monitorowaniem. W USA corocznie wydaje się na ten cel 174 mld dolarów [2]. Stężenie glukozy we krwi zdrowego człowieka na czczo waha się od 80 mg/dl do 110 mg/dl [3]. Stan organizmu z niedoborem glukozy nazywany jest hipoglikemią, a stan podwyższonej zawartości cukru – hiperglikemią...
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Investigation of sweet substances of different molecular structure by potentiometric taste sensor with all solid state electrodes
PublicationA five channel potentiometric taste sensor consisting of an array of All Solid State Electrodes (ASSESs) with different lipid-polymer membranes has been developed. The electrodes are constructed of glassy carbon discs with electrochemically deposited poly(3,4-ethylenedioxythiophene) (PEDOT) acting as ion to electron transducer. The outer layer of the electrode is lipid-polymer membrane. Lipid substances immobilized in PVC membranes...
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Minimum order of graphs with given coloring parameters
PublicationA complete k-coloring of a graph G=(V,E) is an assignment F: V -> {1,...,k} of colors to the vertices such that no two vertices of the same color are adjacent, and the union of any two color classes contains at least one edge. Three extensively investigated graph invariants related to complete colorings are the minimum and maximum number of colors in a complete coloring (chromatic number χ(G) and achromatic number ψ(G), respectively),...
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Deep learning for ultra-fast and high precision screening of energy materials
PublicationSemiconductor materials for energy storage are the core and foundation of modern information society and play important roles in photovoltaic system, integrated circuit, spacecraft technology, lighting applications, and other fields. Unfortunately, due to the long experiment period and high calculation cost, the high-precision band gap (the basic characteristic parameter) of semiconductor is difficult to obtain, which hinders the...
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Using differential pressure sensor to measure nitrous oxide level in a tank
PublicationA method for measuring the level of liquid nitrous oxide oxidizer in a hybrid rocket motor oxidizer tank is proposed. Presented approach is more accurate than the most commonly used method of this measurement, which employs weighting of the whole sounding rocket or an oxidizer tank. In our solution we use a differential pressure sensor to measure the change of pressure at the bottom of an oxidizer tank in comparison to the pressure...
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Influence of Added Water Mass on Ship Structure Vibration Parameters in Virtual and Real Conditions
PublicationModelling of ship structures in a virtual environment is now standard practice. Unfortunately, many engineers forget to consideri the influence of added water on the frequency values and the amplitude of natural vibrations. The article presents the effect of water damping on the frequency values of the individual natural vibration modes. The tests were carried out in two stages. First, the mentioned values were determined using...
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Złoża hydrofitowe z pionowym przepływem ścieków charakterystyka procesów i zastosowań
PublicationCelem pracy jest przedstawienie obszernego przeglądu istniejącego stanu wiedzy na temat działania, procesów usuwania zanieczyszczań oraz zastosowań złóż hydrofitowych z pionowym przepływem. W monografii zawarto propozycje dotyczące nazewnictwa i klasyfikacji złóż hydrofitowych, propozycję rozwiązania problemu stężenia tła (C*) w równaniu kinetyki reakcji I rzędu stosowanym do wymiarowania tych złóż. Zaproponowano nomogramy pomocne...
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Piezoelectric Transducer for Mechanical Assessment of Soft Tissues. Concept, Implementation and Analysis
PublicationThe main goal of this work was following: preparation of a new concept, implementation and analysis of the piezoelectric resonant sensor/actuator for measuring the aging process of human skin. The research work has been carried out in the framework of cooperation between the INP-ENSEEIHT-LAPLACE, Toulouse, France, and at the Gdansk University of Technology, Faculty of Electrical and Control Engineering, Research Group of...
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A new open-source software developed for numerical simulations usingdiscrete modeling methods
PublicationThe purpose of this work is to present the development of an open-source software based on a discrete description of matter applied to study the behavior of geomaterials. This software uses Object Oriented Programming techniques, and its methodology design uses three different methods, which are the Discrete Element Method (DEM) [F. Donzé, S.A. Magnier, Formulation of a three-dimensional numerical model of brittle behavior, Geophys....
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UZUPEŁNIENIE TEKSTU ZALECEŃ DLA OPRACOWANIA: Ekspertyza techniczna dotycząca przestrojenia konstrukcji stadionu żużlowego w Zielonej Górze z analizą numeryczną w formalizmie metody elementów skończonych
PublicationPrzedmiotem orzeczenia jest wskazanie metody (lub metod) przestrojenia konstrukcji stadionu żużlowego w celu poprawy jego dynamiki przy obciążeniu synchronicznym skokiem grupy ludzi. Zakres prac badawczych obejmował:określenie częstości i postaci drgań stadionu ze wzmocnieniem słupkami (stan aktualny stadionu żużlowego) oraz wykonanie symulacji obciążenia synchronicznym skokiem grupy ludzi (wzmocnienie nr 1); określenie częstości...
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Ekspertyza techniczna dotycząca przestrojenia konstrukcji stadionu żużlowego w Zielonej Górze z analizą numeryczną w formalizmie metody elementów skończonych
PublicationPrzedmiotem orzeczenia jest wskazanie metody (lub metod) przestrojenia konstrukcji stadionu żużlowego w celu poprawy jego dynamiki przy obciążeniu synchronicznym skokiem grupy ludzi. Zakres prac badawczych obejmował: określenie częstości i postaci drgań stadionu ze wzmocnieniem słupkami (stan aktualny stadionu żużlowego) oraz wykonanie symulacji obciążenia synchronicznym skokiem grupy ludzi (wzmocnienie nr 1); określenie częstości...
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Zrównoważony rozwój lokalny. Podstawy teoretyczne i działania praktyczne
PublicationRozwój zrównoważony to jedna z koncepcji rozwoju lokalnego. Celem monografii jest prezentacja podstaw tego rozwoju na poziomie lokalnym oraz ukazanie jego przejawów i działań praktycznych w sferach gospodarczej, społecznej i ekologicznej, ze szczególnym uwzględnieniem dwóch wewnętrznych czynników rozwojowych – turystyki i oświaty. W pierwszym rozdziale przedstawiono teoretyczne podstawy rozwoju lokalnego. Omówiono najpowszechniej...
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Genotyping Techniques for Determining the Diversity of Microorganisms
PublicationTyping of microbial pathogens, or identifying bacteria at the strain level, is particularly important for diagnosis, treatment, and epidemiological surveillance of bacterial infections. This is especially the case for bacteria exhibiting high levels of antibiotic resistance or virulence, and those involved in nosocomial or pandemic infections. Strain typing also has applications in studying bacterial population dynamics. The part...
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Characterization of a cryptic plasmid pSFKW33 from Shewanella sp. 33b
PublicationA cryptic plasmid pSFKW33 from psychrotrophic bacterium Shewanella sp. 33B, an isolate from the Gulf of Gdansk (the Baltic Sea), was sequenced and characterized. It is an 8021 bpcircular molecule with 38% GC content, which shows a distinctive nucleotide sequence without homology to other known plasmids. The nucleotide sequence analysis predicts eight open reading frames. The deduced amino acid sequence of ORF-1 shared significant...
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Micro-cracking pattern recognition of hybrid CNTs/GNPs cement pastes under three-point bending loading using acoustic emission technique
PublicationThe generation of microcracks has an important influence on the behaviour of concrete structures. In this study, the acoustic emission (AE) technique was used to investigate the fracture phenomena and micro-cracking behavior of hybrid carbon nanotubes (CNTs, the 1-D allotrope of carbon atoms) and graphene nanoplatelets (GNPs, 2D monolayer of sp2-hybridized carbon atoms), cement composites under three-point bending loading. In...
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Applications of Tensor Analysis in Continuum Mechanics
PublicationA tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems. The tensorial nature of a quantity permits us to formulate transformation rules for its components...