Wyniki wyszukiwania dla: NONLOCAL INTEGRAL THEORY - MOST Wiedzy

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Wyniki wyszukiwania dla: NONLOCAL INTEGRAL THEORY

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Wyniki wyszukiwania dla: NONLOCAL INTEGRAL THEORY

  • Unassisted formation of hemiaminal ether from 4-aminopyridine and o-vanillin - experimental and theoretical study

    The reactions between o-vanillin and three isomeric aminopyridines lead to imines of diverse spatial conformation and reactivity. The direct products of these simple reactions carried out in methanol are either imine compounds formed in the reactions of 2- amino- and 3-aminopyridine with o-vanillin or the α-aminoether formed in the reaction of o-vanillin with 4-aminopyridine. The Schiff-type derivative of 4-aminopyridine and o-vanillin,...

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  • Deep Learning: A Case Study for Image Recognition Using Transfer Learning

    Publikacja

    - Rok 2021

    Deep learning (DL) is a rising star of machine learning (ML) and artificial intelligence (AI) domains. Until 2006, many researchers had attempted to build deep neural networks (DNN), but most of them failed. In 2006, it was proven that deep neural networks are one of the most crucial inventions for the 21st century. Nowadays, DNN are being used as a key technology for many different domains: self-driven vehicles, smart cities,...

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  • ADAPTIVE BACKSTEPPING TRACKING CONTROL FOR OVER-ACTUATED DP MARINE VESSEL WITH INERTIA UNCERTAINTIES

    Designing a tracking control system for an over-actuated dynamic positioning marine vessel in the case of insufficient information on environmental disturbances, hydrodynamic damping, Coriolis forces and vessel inertia characteristics is considered. The designed adaptive MIMO backstepping control law with control allocation is based on Lyapunov control theory for cascaded systems to guarantee stabilization of the marine vessel...

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  • Relativistic two-dimensional hydrogen-like atom in a weak magnetic field

    Publikacja

    A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the first- and second-order Zeeman corrections to energy levels are calculated analytically, within the framework of the Rayleigh–Schrödinger perturbation theory, for an arbitrary electronic bound state. The second-order calculations are...

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  • Green analytical chemistry: Social dimension and teaching

    Publikacja
    • A. Kurowska-Susdorf
    • M. Zwierżdżyński
    • A. Bevanda
    • S. Talić
    • A. Ivanković
    • J. Płotka-Wasylka

    - TRAC-TRENDS IN ANALYTICAL CHEMISTRY - Rok 2019

    Green Analytical Chemistry (GAC) is the idea which every analytical chemist should be familiar of. Due to continuous improvement in the subject both from the aspects of theory and experimentation, the dynamic way analytical chemistry studies are evolving in the frame of chemistry degrees should not be surprising. Recently, many efforts have been made in order to include Green Chemistry principles to Education, also in the field...

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  • Deep Learning

    Publikacja

    - Rok 2021

    Deep learning (DL) is a rising star of machine learning (ML) and artificial intelligence (AI) domains. Until 2006, many researchers had attempted to build deep neural networks (DNN), but most of them failed. In 2006, it was proven that deep neural networks are one of the most crucial inventions for the 21st century. Nowadays, DNN are being used as a key technology for many different domains: self-driven vehicles, smart cities,...

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  • Applicability of an effective conductivity approach in modeling thoracic impedance changes

    Publikacja

    This paper describes numerical simulations of the influence of conductivity changes inside a volume conductor on impedance changes measured on its surface. A simple model based on the finite element method has been developed to estimate an applicability of the effective conductivity theory in human chest modeling. The model consisted of a cylinder with two concentric spheres inside. Simulations were performed for two cases: first...

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  • Local buckling of thin-walled channel member flange made of aluminum alloy

    Publikacja

    The paper deals with local stability of the thin-walled compressed flange of channel columns and beams made of aluminum alloy. The aim of paper is to find critical stress of local buckling of the flange member taking into account the web-flange interaction in linear and nonlinear elastic range of the member material. The governing differential equation of the problem is derived with aid of the principle of stationary total potential...

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  • Determination of probabilities defining safety of a sea-going ship during performance of a transportation task in stormy weather conditions

    Publikacja

    The paper presents the possibility of applying the theory of semi-Markov processes to determine the limiting distribution for the process of changes of technical states being reliability states of the systems of sea-going ships significantly affecting safety of such ships, which include main engine, propeller and steering gear. The distribution concerns the probabilities of occurrence of the said states defined for a long time...

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  • Vibro-Electrical Behavior of a Viscoelastic Piezo-Nanowire in an Elastic Substrate Considering Stress Nonlocality and Microstructural Size-Dependent Effects

    Publikacja

    - Rok 2019

    This research deals with dynamics response of a Pol/BaTiO3 nanowire including viscosity influences. The wire is also impressed by a longitudinal electric field. Hamilton's principle and Lagrangian strains are employed in conjunction with a refined higher-order beam theory in order to derive equations of motion. By combining nonlocality and small size...

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  • Evolutionary Sets Of Safe Ship Trajectories: A New Approach To Collision Avoidance

    Publikacja

    The paper introduces a new method of solving multi-ship encounter situations for both open waters and restricted water regions. The method, called evolutionary sets of safe trajectories combines some of the assumptions of game theory with evolutionary programming and aims to find optimal set of safe trajectories of all ships involved in an encounter situation. In a two-ship encounter situation it enables the operator of an on-board...

  • Propagation of acoustic pulses in some fluids with yield stress

    Publikacja

    This study is devoted to the derivation of approximate equations governing acoustic pulses in flows with yieldstress, including some time-dependent flows with a slow dependence on time of yield stress and apparent viscosity. Themodeling of yield stress and apparent viscosity in the vicinity of a zero deformation rate allows us to consider a thixotropicfluid as a Bingham plastic with coefficients that are dependent on time. The...

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  • Entrepreneurial potential: what do we know about it?

    Publikacja

    - Rok 2009

    W rozdziale zwrócono uwagę na niejednoznaczności w definiowaniu przedsiębiorczości i pojęcia przedsiębiorcy, poświęcając też sporo miejsca problemowi stawania się przedsiębiorcą i próbując odpowiedzieć na pytanie czy przedsiębiorcą można się urodzić, czy też można nauczyć się być przedsiębiorcą. Przy pomocy prostego modelu opisano też rolę, jaką edukacja w zakresie przedsiębiorczości pełni w rozwoju tej ostatniej. W dalszej części...

  • Searching of the buried objects into the sea bottom by means of nonlinear acouctic methods

    Publikacja

    The main goal of this paper is to introduce the methodology of preparing the area for investigations that will be carried out at the sea. As the first step there is recognition of the basic method both in the theory as well as experimental investigation. There were taken into account the nonlinear methods. These ones are very promising methods that have very interesting features, very convenient for examinations of the seabed structure....

  • Does one currency mean one price?

    Publikacja

    European Monetary Union was expected to have many consequences for the economies of participant countries. Theory suggested that through a higher volume of trade and stronger competition in the Eurozone, a single currency would lead to a reduction in price dispersion. As far as prices are concerned, two effects were expected: an immediate effect due to the technical characteristics of the changeover process, and a long-term one...

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  • Accurate and continuous adhesive fracture energy determination using an instrumented wedge test

    Publikacja

    The wedge test and the related double cantilever beam test are practical methods of assessing structural adhesive fracture energy. In the former, and to a lesser extent the latter, a recognised problem is the difficulty of following the length of the growing crack, required to calculate fracture energy with any accuracy. We present a novel method of measurement of crack length that has the advantages of being accurate and allowing...

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  • Structural Reliability Assessment Of Corroded Tanker Ship Based On Experimentally Estimated Ultimate Strength

    Publikacja

    - Polish Maritime Research - Rok 2019

    This work deals with the reliability assessment of a tanker ship hull structure subjected to a vertical bending moment and corrosion degradation. The progressive collapse and ultimate load carrying capacity are estimated based on experimentally tested scaled box-shaped-specimens. The translation of the strength estimate of the scaled specimen to the real tanker ship hull structure is performed based on the dimensional theory developing...

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  • The interaction parameters for solutions of n-butylurea in aqueous solutions of N-methylacetamide – The volumetric and compressibility studies between 288.15 K and 308.15 K

    Publikacja

    - JOURNAL OF CHEMICAL THERMODYNAMICS - Rok 2020

    Densities and speed of sound were measured for solutions of n-butylurea in aqueous solution of Nmethylacetamide 2, 4, 6 and 8 (mol/kg) at T = (288.15, 298.15 and 308.15) K. From these data the apparent molar volumes, Vf, the apparent molar isentropic compressions, KSf, of the solute were determined. The concentration dependencies of the calculated quantities have been used to obtain the standard partial molar parameters. The latter...

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  • Inline Microstrip Bandpass Filter With Two Transmission Zeros and Increased Order Using Spurious Resonance of Frequency-Dependent Inverter

    Publikacja

    - Rok 2022

    A design method for a class of fourth-order inline microstrip bandpass filter with two transmission zeros and 20% fractional bandwidth is presented. The filter consists of two quarter-wavelength transmission-line resonators coupled by a frequency-dependent inverter. The inverter is composed of two open-ended stubs that are connected by an interdigital capacitor and introduces two poles and two transmission zeros in the filter response....

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  • An analysis of observability and detectability for different sets of measured outputs - CSTR case study

    Publikacja

    A problem of proving the observability/detectability at a given measured output for non-linear biochemical systems has been addressed in this paper. A theory of indistinguishable state trajectories has been used to prove the properties of the observability or detectability of this system. It is related to taking system dynamics into consideration depending on initial conditions and the impact of inputs taking into account a given...

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  • Negative result about the construction of genuinely entangled subspaces from unextendible product bases

    Publikacja

    Unextendible product bases (UPBs) provide a versatile tool with various applications across different areas of quantum information theory. Their comprehensive characterization is thus of great importance and has been a subject of vital interest for over two decades now. An open question asks about the existence of UPBs, which are genuinely unextendible, i.e., they are not extendible even with biproduct vectors. In other words,...

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  • Bandwidth-Controllable Third-Order Band Pass Filter Using Substrate Integrated Full- and Semi-Circular Cavities

    Publikacja

    - SENSORS - Rok 2023

    The article presents a novel circular substrate integrated waveguide (SIW) bandpass filter (BPF) with controllable bandwidth. The proposed BPF is configured using two microstrip feedlines, semi- circular SIW cavities, capacitive slots, and inductive vias. The circular cavity is bisected into two halves, with the two copies thereof being cascaded. Two bisected and cascaded structures obtained this way are subsequently connected...

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  • A Comprehensive Experimental and Theoretical Study on the[{(η5-C5H5)2Zr[P(µ-PNEt2)2P(NEt2)2P]}2O Crystalline System

    Publikacja

    - MOLECULES - Rok 2021

    The structure of tetraphosphetane zirconium complex C52H100N8OP10Zr21 was determined by single crystal X-ray diffraction analysis. The crystal belongs to the monoclinic system, space group P21/c, with a = 19.6452(14), b = 17.8701(12), c = 20.7963(14)Å, α = γ = 90°, β = 112.953(7)°, V = 6722.7(8)Å3, Z = 4. The electronic structure of the organometallic complex has been characterized within the framework of Quantum Chemical Topology....

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  • Shape Memory Materials from Rubbers

    Publikacja
    • A. Reghunadhan
    • P. Jibin
    • V. Kaliyathan
    • P. Velayudhan
    • M. Strankowski
    • S. Thomas

    - Materials - Rok 2021

    Smart materials are much discussed in the current research scenario. The shape memory effect is one of the most fascinating occurrences in smart materials, both in terms of the phenomenon and its applications. Many metal alloys and polymers exhibit the shape memory effect (SME). Shape memory properties of elastomers, such as rubbers, polyurethanes, and other elastomers, are discussed in depth in this paper. The theory, factors...

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  • Quantum Coherence as a Resource

    Publikacja
    • A. Streltsov
    • G. Adesso
    • M. B. Plenio

    - REVIEWS OF MODERN PHYSICS - Rok 2017

    The coherent superposition of states, in combination with the quantization of observables, represents one of the most fundamental features that mark the departure of quantum mechanics from the classical realm. Quantum coherence in many-body systems embodies the essence of entanglement and is an essential ingredient for a plethora of physical phenomena in quantum optics, quantum information, solid state physics, and nanoscale thermodynamics....

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  • Webquest- dobra praktyka w e-Learningu

    W dobie informatyzacji i pokonywania barier wdrażania e-technologii na uczelniach wyższych uważa się, że jedną z najczęściej stosowanych aktywizujących technik nauczania wśród nauczycieli akademickich jest metoda projektu (ang. project-based learning). W niniejszym opracowaniu proponuje się zastosowanie w procesie edukacji na wyższej uczelni, metody webquest. Jest ona dużo rzadziej stosowana w praktyce. Opracowano ją w oparciu...

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  • Miasto nocą: zaburzenia snu a praca zmianowa i stres zawodowy wśród policjantów

    Publikacja

    - Rok 2013

    Streszczenie. Jedną z miar subiektywnej jakości życia jest dobry sen. Cebulowa teoria szczęścia postuluje zależność pomiędzy dobrostanami cząstkowymi. Celem studium była ocena zaburzeń snu wśród policjantów z miejskich komisariatów Policji w zależności od cech pracy (stres zawodowy) i jej organizacji (zmianowość). Rezultaty pokazały, że większe problemy ze snem mieli policjanci pracujący wyłącznie na zmianach dziennych niż pracujący...

  • Wyzwania i problemy aktywizacji peryferyjnych niskorozwiniętych obszarów Unii Europejskiej

    Publikacja

    Są duże dysproporcje w poziomie rozwoju między obszarami metropolitalnymi a pozostałymi, zwanymi tu peryferyjnymi. Dysproporcje dotyczą też badań – wiele z nich dotyczy obszarów metropolitalnych. Dlatego autor podjął w 2009 r. badania dotyczące problemów aktywizacji obszarów peryferyjnych. Głównym problemem jest w nich niedostatek endogenicznych czynników stanowiący barierę samodzielnego zainicjowania wzrostu. Potrzeba rozwoju...

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  • Złote monety bulionowe – testowanie pasywnego charakteru inwestycji

    Cel – Wyznaczenie składu optymalnego portfela inwestycyjnego o minimalnym ryzyku, zawierającego inwestycję w polskie monety bulionowe (Orzeł Bielik) oraz inwestycję na polskiej giełdzie papierów wartościowych. Testowanie pasywnego charakteru inwestycji w monety. Metodologia badania – Konstrukcja portfeli inwestycyjnych o minimalnym ryzyku według teorii H.M. Markowitza. Autorska metoda badania pasywnego charakteru inwestycji...

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  • Od zrównoważonego rozwoju do dewzrostu - paradygmaty krytyczne wobec wzrostu i ich implikacje dla planowania przestrzennego

    Publikacja

    - SAMORZĄD TERYTORIALNY - Rok 2022

    Pomimo ponad trzech dekad wdrażania koncepcji zrównoważonego rozwoju środowisko Ziemi ulega dalszej degradacji i destabilizacji. Sytuacja ta przekłada się na ożywienie antycypowanej już w latach 70. XX w. krytyki założeń leżących u podstaw koncepcji zrównoważonego rozwoju – spośród których kluczowe wydaje się założenie możliwości rozłączenia (decoupling) wzrostu gospodarczego i negatywnego oddziaływania na środowisko. W niniejszym...

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  • Estimation and modeling hydrolysis of slowly biodegradable substrate based on the batch respirometric tests in activated sludge systems

    Publikacja

    Nowadays, appropriate determination of chemical oxygen demand (COD) fractionation together with degradation kinetics of organic compounds have a prime importance on the design and operation of activated sludge systems. Batch respirometric tests based on the oxygen uptake rates (OUR) and corresponding COD is accepted method to reflect the consumption of biodegradable substrates. The influence of the readily biodegradable (Ss) fraction...

  • The Sea And The Beach As Composition Elements Of The Coastal Gardens In West Prussia In The 19th Century

    Publikacja

    The melancholic and changeable character of the Baltic Sea has often been used in the painting of the romantic period. The sea and its beaches were also an important composition element as well as a supplement of Baltic coastal gardens which were founded in West Prussia in the 19th century. Gardens set up on the coast used various moods of nature, as well as extensive and beautiful sea landscapes, often leading to nostalgia. The...

  • Double Bias of Mistakes: Essence, Consequences, and Measurement Method

    There is no learning without mistakes. However, there is a clash between‘positive attitudes and beliefs’regarding learning processes and the ‘negative attitudes and beliefs’towardthese being accompanied bymistakes. Thisclash exposesa cognitive bias towardmistakesthat might block personal and organizational learning. This study presents an advanced measurement method to assess thebias of mistakes. The essence of it is the...

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  • Paid work activity and entrepreneurial cognitions of students – evidence from European emerging economies

    Purpose – This paper aims to investigate whether paid work activity (PWA) experience of students from five emerging economies is related to academic results and self-assessment of possessed entrepreneurial traits. Additionally, the authors verify the relationship between obtaining work experience and the willingness to start own business among students. Design/methodology/approach – Participants included 3,631 students of the first...

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  • Li nucleation on the graphite anode under potential control in Li-ion batteries

    Publikacja
    • A. Bhandari
    • C. Peng
    • J. Dziedzic
    • J. R. Owen
    • D. Kramer
    • C. Skylaris

    - Journal of Materials Chemistry A - Rok 2022

    Application of Li-ion batteries in electric vehicles requires improved safety, increased lifetime and high charging rates. One of the most commonly used intercalation anode material for Li-ion batteries, graphite, is vulnerable to Li nucleation, a side reaction which competes with the intercalation process and leads to loss of reversible capacity of the battery, ageing and short-circuits. In this study, we deploy a combined grand...

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  • Problems of modelling toxic compounds emitted by a marine internal combustion engine in unsteady states

    Contemporary engine tests are performed based on the theory of experiment. The available versions of programmes used for analysing experimental data make frequent use of the multiple regression model, which enables examining effects and interactions between input model parameters and a single output variable. The use of multi-equation models provides more freedom in analysing the measured results, as those models enable simultaneous...

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  • Crystal structure and electronic structure of CePt2In7

    Publikacja
    • T. Klimczuk
    • O. Walter
    • L. Müchler
    • J. W. Krizan
    • F. Kinnart
    • R. J. Cava

    - JOURNAL OF PHYSICS-CONDENSED MATTER - Rok 2014

    We report a corrected crystal structure for the CePt2In7 superconductor, refined from single crystal x-ray diffraction data. The corrected crystal structure shows a different Pt–In stacking along the c-direction in this layered material than was previously reported. In addition, all of the atomic sites are fully occupied with no evidence of atom site mixing, resolving a discrepancy between the observed high resistivity ratio of...

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  • Are creative users more apt in reusing and adopting Open Government Data (OGD)? Gender differences

    Publikacja
    • C. H. Alexopoulos
    • S. Saxena
    • N. Rizun
    • R. Matheus
    • M. Janssen

    - Thinking Skills and Creativity - Rok 2024

    Open Government Data (OGD) has been considered as a potent instrument for value creation and innovation by a range of stakeholders. Given that individual ingenuity is a function of individual and environmental factors, it is important to understand how the OGD adoption and usage is a factor of creative performance behaviors (CPB), viz., Problem Identification (PI), Information Search (IS), Idea Generation (IG) and Idea Promotion...

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  • From unextendible product bases to genuinely entangled subspaces

    Publikacja

    - PHYSICAL REVIEW A - Rok 2018

    Unextendible product bases (UPBs) are interesting mathematical objects arising in composite Hilbert spaces that have found various applications in quantum information theory, for instance in a construction of bound entangled states or Bell inequalities without quantum violation. They are closely related to another important notion, completely entangled subspaces (CESs), which are those that do not contain any fully separable pure...

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  • Uncertainty of the liquid mass flow measurement using the orifice plate

    Publikacja

    The article presents an estimation of measurement uncertainty of a liquid mass flow using the orifice plate. This subject is essential because of the widespread use of this type of flow meters. Not only the quantitative estimation but also the qualitative results of those measurements are important. To achieve these results the authors of the paper propose to use the theory of uncertainty. The article shows the analysis of the...

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  • Nonreciprocal cavities and the time-bandwidth limit: comment

    Publikacja

    - Optica - Rok 2020

    In their paper in Optica 6, 104 (2019), Mann et al. claim that linear, time-invariant nonreciprocal structures cannot overcome the time-bandwidth limit and do not exhibit an advantage over their reciprocal counterparts, specifically with regard to their time-bandwidth performance. In this Comment, we argue that these conclusions are unfounded. On the basis of both rigorous full-wave simulations and insightful physical justifications,...

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  • On thermal stability of piezo-flexomagnetic microbeams considering different temperature distributions

    By relying on the Euler–Bernoulli beam model and energy variational formula, we indicate critical temperature causes in the buckling of piezo-flexomagnetic microscale beams. The corresponding size-dependent approach is underlying as a second strain gradient theory. Small deformations of elastic solids are assessed, and the mathematical discussion is linear. Regardless of the pyromagnetic effects, the thermal loading of the thermal...

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  • Analyzing content of tasks in Business Process Management. Blending task execution and organization perspectives

    Publikacja

    - COMPUTERS IN INDUSTRY - Rok 2021

    An efficient organization, management, and execution of tasks are central for the successful functioning of any organization. This topic was on the research agenda already in the early 1950s and keeps attracting the scientific community's attention today. Continuous advances and penetration of technologies in organizations are expected to increase task variety and complexity. This creates a constant demand for new methods to analyze,...

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  • Supporting study tours in the teaching of architectural heritage

    Study tours are a highly effective way to acquire knowledge. They improve students’ understanding of issues that otherwise may seem partly abstract to them. Presented in this article is the unique way in Poland in which support is given to the teaching of architectural heritage. It has been carried out continuously for almost 50 years in the Faculty of Architecture at Gdańsk University of Technology (FA-UT), Gdańsk, Poland, in...

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  • Carboxylation Enhances Fragmentation of Furan upon Resonant Electron Attachment

    Publikacja

    - JOURNAL OF PHYSICAL CHEMISTRY A - Rok 2020

    We report a dissociative electron attachment study to 2-furoic acid (C5H4O3) isolated in a gas phase, which is a model molecule consisting of a carboxylic group and a furan ring. Dissociation of furan by low energy electrons is accessible only via electronic excited Feshbach resonances at energies of incident electrons above 5 eV. On the other hand, carboxylic acids are well- known to dissociate via attachment of electrons at subexcitation energies....

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  • Characterization of herbal teas containing lime flowers – Tiliae flos by HPTLC method with chemometric analysis

    Publikacja
    • N. Melnyk
    • K. A. Pawłowska
    • M. Ziaja
    • W. Wojnowski
    • O. Koshovyi
    • S. Granica
    • A. Bazylko

    - FOOD CHEMISTRY - Rok 2021

    Linden trees are a source of food products called lime flowers (Tiliae flos), traditionally used in the form of infusion for the treatment of feverish colds and coughs. Lime flowers should include flowers of Tilia cordata Mill, T.x europaea L., and T. platyphyllos Scop. or a mixture of these. The aim of current research was to establish a fast, sensitive HPTLC (high-performance thin-layer chromatography) method that would allow...

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  • Dynamic soil improvement by hybrid technologies

    Publikacja

    - Rok 2015

    Hybrid method of subsoil improvement for road embankment foundation is described. This method is composed of two wellknown methods: dynamic replacement (DR) and microblasting (DDC) one (Deep Dynamic Compaction). The method was used for both the strengthening of the fully saturated organic subsoil as well as for acceleration of the consolidation of the organic layers. The practice ensures the expected results. A proper example on...

  • Positron scattering on molecular hydrogen: Analysis of experimental and theoretical uncertainties

    Publikacja

    - PHYSICAL REVIEW A - Rok 2015

    Experiments performed in recent years on positron scattering from molecular hydrogen indicated a rise of the total cross section in the limit of zero energy, but essentially disagree on the amplitude of this rise. Mitroy and collaborators [J.-Y. Zhang et al., Phys. Rev. Lett. 103, 223202 (2009)] predicted a scattering length somewhat different from values deduced experimentally. Using a Markov chain Monte Carlo modified effective...

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  • EU-Turkey Customs Union and Bilateral Foreign Direct Investment Flows

    Publikacja

    - Rok 2016

    Main aim of this text is presentation of the effects of customs union between the European Union and turkey on bilateral FDI flows in light of the theory of linkages between economic integration and FDI flows. First section of the text is a survey of main theoretical links between economic integration and FDI flows. Second section focuses on the history and scope of the customs union. Third and fourth sections are empirical and...

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  • The point estimate method in a reticulated shell reliability analysis

    Publikacja

    The objective of this paper is to present an application of the point estimate method (PEM) that can determine the probabilistic moments for engineering structures. The method is reasonably robust and adequately accurate for a wide range of practical problems. It is a special case of numerical quadrature based on orthogonal polynomials. The main advantage of this method is that, unlike FORM or SORM, it is not necessary to carry...