Search results for: neutralny antagonista
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Chromium (III) removal by perennial emerging macrophytes in floating treatment wetlands
PublicationFloating treatment wetlands (FTWs) are a sustainable solution to treat polluted water, but their role in chromium (Cr(III)) removal under neutral pH conditions remains poorly understood. This study evaluated the potential of FTWs planted with two perennial emergent macrophytes, Phragmites australis and Iris pseudacorus, to remove Cr(III) and nutrients (N and PO4-P) from water containing 7.5 mg/L TN, 1.8 mg/L PO4-P, and Cr(III)...
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Detecting Lombard Speech Using Deep Learning Approach
PublicationRobust Lombard speech-in-noise detecting is challenging. This study proposes a strategy to detect Lombard speech using a machine learning approach for applications such as public address systems that work in near real time. The paper starts with the background concerning the Lombard effect. Then, assumptions of the work performed for Lombard speech detection are outlined. The framework proposed combines convolutional neural networks...
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Structural, physicochemical and anticancer study of Zn complexes with pyridyl-based thiazolyl-hydrazones
PublicationThiazolyl-hydrazones (THs) exhibit a wide spectrum of biological activity that can be enhanced by complexation with various metal ions. Zn(II) complexes with α-pyridine-1,3-TH ligands may represent an alternative to the standard platinum-based chemotherapeutics. In addition, they show photoluminescence properties and thus can be regarded as multifunctional materials. In this study, we synthesized and characterized three neutral...
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A Flexible Nafion Coated Enzyme‐free Glucose Sensor Based on Au‐dimpled Ti Structures
PublicationThe detection of glucose at low concentrations using electrochemical sensors is of great importance due to the possibility of using different human body fluids than blood, such as e.g. urine, saliva, sweat or tears. The interest behind those biofluids is related to their utility in non-invasive sugar determination. In this work, we present flexible, fully biocompatible electrode material based on Au nanoparticles immobilized onto...
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Evaluation of a company’s image on social media using the Net Sentiment Rate
PublicationVast amounts of new types of data are constantly being created as a result of dynamic digitization in all areas of our lives. One of the most important and valuable categories for business is data from social networks such as Facebook. Feedback resulting from the sharing of thoughts and emotions, expressed in comments on various products and services, is becoming the key factor on which modern business is based. This feedback is...
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THREE-LEVEL F-TYPE INVERTER
PublicationGiven the recent available IGBT switch modules up to 6.5 kV, 1200 A rating, the prospect of the diode-free variant topology of the three-level neutral-point-clamped (3-level, T-type) inverter in certain medium voltage applications is bright; due to its small part count and low conduction losses compared to the diode-clamped NPC inverter. However, within this voltage range, the input dc voltage rating of 50% of the switches per...
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Analytical approach for membrane action in laterally-restrained reinforced concrete square slabs under uniformly distributed loads
PublicationLaterally-restrained reinforced concrete slabs can mobilise compressive membrane action and subsequent tensile membrane action under extreme loading conditions, thereby enhancing the load resistance under uniformly distributed loads. Previous analytical study focuses primarily on tensile membrane action in simply-supported slabs. This paper describes an analytical approach for membrane action in laterally-restrained square slabs....
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TINKTEP: A fully self-consistent, mutually polarizable QM/MM approach based on the AMOEBA force field
PublicationWe present a novel quantum mechanical/molecular mechanics (QM/MM) approach in which a quantum subsystem is coupled to a classical subsystem described by the AMOEBA polarizable force field. Our approach permits mutual polarization between the QM and MM subsystems, effected through multipolar electrostatics. Self-consistency is achieved for both the QM and MM subsystems through a total energy minimization scheme. We provide an expression...
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Exploring the trends in flux-cored arc welding: scientometric analysis approach
PublicationFlux-cored arc welding (FCAW) is a universal group of welding methods in terms of the scope of application and automation possibilities, the share of which in various industries in many countries is still increasing. The paper presents the results of bibliographic analyses (scientometric analysis with the use of VOSviewer, Bibliometrix and CitNetExplorer tools) of a data set of 993 publications indexed in the Web of Science database...
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Development of novel optoelectronic sensory structures utilising colour centres in nanodiamonds and their interactions with analytes
PublicationThe goal of this dissertation was to develop and assess surface modifications of fluorescent nanodiamonds (NDs) for optical sensing. Three modification routes were tested, each aimed at a different application. Modification with poly-L-lysine (pLys) was verified for optical sensing of pH via an interrelationship between electrically negative (NV¯) and neutral (NV0) nitrogen-vacancy centres. Immobilisation of Ochratoxin A (OTA),...
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What drives sustainable investing? Adoption determinants of sustainable investing exchange-traded funds in Europe
PublicationDespite the growing interest in various topics related to sustainable (ESG) investing, some issues remain understudied, such as the determinants of their utilization at the macro level. This paper contributes to the state of knowledge two-directionally. First, it shows the development of sustainable investing exchange-traded funds (ETFs) in European countries. Second, it traces the significant determinants of adopting sustainable...
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Electrophoretic Deposition and Characterization of Chitosan/Eudragit E 100 Coatings on Titanium Substrate
PublicationCurrently, a significant problem is the production of coatings for titanium implants, which will be characterized by mechanical properties comparable to those of a human bone, high corrosion resistance, and low degradation rate in the body fluids. This paper aims to describe the properties of novel chitosan/Eudragit E 100 (chit/EE100) coatings deposited on titanium grade 2 substrate by the electrophoretic technique (EPD). The deposition...
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A High-Arctic flow-through lake system hydrochemical changes: Revvatnet, southwestern Svalbard (years 2010–2018)
PublicationLake ecosystems are strongly coupled to features of their surrounding landscapes such as geomorphology, lithology, vegetation and hydrological characteristics. In the 2010–2018 summer seasons, we investigated an Arctic flow-through lake system Revvatnet, located in the vicinity of the coastal zone of Hornsund fjord in Svalbard, characterising its hydrological properties and the chemical composition of its waters. The lake system...
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Wybrane aspekty wprowadzenia euro w Polsce
PublicationArtkuł stanowi przegląd możliwych rozważań nad skutkami przystąoienia Polski do Unii Gospodarczej i Walutowej. Na początku moje dywagacje dotyczą dokumentów określających cele uczestnictwa w Unii Europejskiej, takich jak Raport Wernera, Raport Delorsa oraz Traktat z Maastricht. Jednakże utworzenie wspólnego obszaru monetarnego wiąże się z utratą suwerenności w prowadzeniu polityki monetarnej. W dalszej cześci mojego artykułu przedstawię...
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Profilaktyka przeciwpowodziowa w okresie zimowym na zbiorniku Włocławek
PublicationWisła należy do rzek o podwyższonym ryzyku wystąpienia powodzi zatorowych, a problem zlodzenia na rzece Wiśle jest zjawiskiem dobrze udokumentowanym. Przyczyną powstawania zatorów na granicy rzeki i cofki zbiornika jest zmiana warunków przepływu wód, powodująca wcześniejsze zamarzanie zbiornika wraz z późniejszym rozpadem pokrywy lodowej. Najskuteczniejszą metodą kontrolowanej ingerencji w fazę rozpadu pokrywy lodowej jest lodołamanie....
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Determination of LFER descriptors of 30 cations of ionic lquids - progress in understanding their molercular interaction potentials
PublicationW celu zrozumienia interakcji molekularnych trzydziestu kationów cieczy jonowych, zastosowano powszechnie znaną koncepcję liniowej zależności energii swobodnej (LFER). Deskryptory LFER dla nadmiarowej refrakcji molowej i objętości molowej, zostały obliczone in silico, natomiast kwasowość i zasadowość wiązań wodorowych, i polaryzowalność/dipoloarność kationów cieczy jonowych zostały oznaczone eksperymentalnie za pomocą wysokosprawnej...
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The impact of thermomechanical and chemical treatment of waste Brewers’ spent grain and soil biodegradation of sustainable Mater-Bi-Based biocomposites
PublicationDue to the massive plastic pollution, development of sustainable and biodegradable polymer materials is crucial to reduce environmental burdens and support climate neutrality. Application of lignocellulosic wastes as fillers for polymer composites was broadly reported, but analysis of biodegradation behavior of resulting biocomposites was rarely examined. Herein, sustainable Mater-Bi-based biocomposites filled with thermomechanically-...
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Autocorrelation function for the chosen effective potential of the diatomic silver anion
Open Research DataThe process of a two-channel decay of the diatomic silver anion (Ag2-), namely the spontaneous electron ejection giving Ag2 + e- and the dissociation leading to Ag- + Ag is theoretically studied. The ground state potential energy curves (PECs) of the neutral silver dimer and anionic silver diatomic molecule are calculated using the single reference...
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APPLICATION OF CHEMOMETRIC ANALYSIS TO THE STUDY OF SNOW AT THE SUDETY MOUNTAINS, POLAND
PublicationSnow samples were collected during winter 2011/2012 in three posts in the Western Sudety Mountains (Poland) in 3 consecutive phases of snow cover development, i.e. stabilisation (Feb 1st), growth (Mar 15th) and its ablation (Mar 27th). To maintain a fixed number of samples, each snow profile has been divided into six layers, but hydrochemical indications were made for each 10 cm section of core. The complete data set was subjected...
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Wastewater treatment by means of Advanced Oxidation Processes at basic pH conditions: A review
PublicationAdvanced oxidation processes (AOPs) have been used as an alternative and effective option for treatment of industrial wastewater, especially in the case of the non-biodegradable compounds. Despite of several well developed AOPs, the majority of them are effective only at acidic or neutral pH, namely Fenton related processes, making the list of available effective advanced oxidation technologies strongly limited. In many cases,...
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Expermental investigation on adsorption of methylene blue dye from waste water using corncob cellulose-based hydrogel
PublicationHydrogel from corncob cellulose was synthesized in this investigation. The synthesized Hydrogel was characterized by SEM, XRD, and FTIR instruments. As the results indicate the synthesized hydrogel has required and important features, these suggest the suitability of hydrogel for the adsorption of methylene blue dye (MBD). Three important process variables (dosage, contact time, and initial concentration) with three levels were...
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Synthesis, structural characterization and reactivity of new trisubstituted N1-acylamidrazones: solid state and solution studies
PublicationA series of new linear trisubstituted N1-acylamidrazones have been investigated using a variety of analytical techniques and theoretical calculations to check the influence of the type of N1-acyl substituent on the resonance forms and conformational behavior in the solid state and in solution. The 1D- and 2D-NMR experiments, supported by computational studies, revealed that in solution all amidrazones exhibit conformational syn/anti...
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First highly effective non-catalytic nitrobenzene reduction in UV/dithionite system with aniline production – Advanced reduction process (ARP) approach
PublicationAdvanced reduction processes (ARPs) are currently intensively investigated as an alternative to Advanced Oxidation Processes (AOPs). The study presents efficient reduction of nitrobenzene under non-catalytic conditions through reaction with free radicals having reductive potential. Effective conversion of nitrobenzene in a model wastewater solution, was obtained for sodium dithionite (SDT)/ dithionite (DTN). The developed process...
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Enhanced Charge Storage Mechanism And Long-Term Cycling Stability In Diamondized Titania Nanocomposite Supercapacitors Operating In Aqueous Electrolytes
PublicationThe long cycle life stability jointly with high energy density are limiting broader feasible applications of supercapacitors. The novel diamondized titania nanocomposite supercapacitors deliver high power and energy densities along with high capacitance retention rates. Supercapacitor electrodes were fabricated utilizing a combination of Ti anodization followed by chemical vapor deposition resulting in simultaneous growth of complex...
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Homoleptic mono-, di-, and tetra-iron complexes featuring phosphido ligands: a synthetic, structural, and spectroscopic study
PublicationWe report the first series of homoleptic phosphido iron complexes synthesized by treating either the β-diketiminato complex [(Dippnacnac)FeCl2Li(dme)2] (Dippnacnac = HC[(CMe)N(C6H3-2,6-iPr2)]2) or [FeBr2(thf )2] with an excess of phosphides R2PLi (R = tBu, tBuPh, Cy, iPr). Reaction outcomes depend strongly on the bulkiness of the phosphido ligands. The use of tBu2PLi precursor led to an anionic diiron complex 1 encompassing a planar...
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Modelling AOB-NOB competition in shortcut nitrification compared with conventional nitrification-denitrification process
PublicationIn particular, mainstream deammonification and/or shortened nitrificationdenitrification via nitrite (so-called “nitrite shunt”) is a promising new treatment concept that has the potential to revolutionise how nitrogen removal is achieved at WWTPs. Understanding the role of the AOB/NOB competition in the nitrogen cycle in wastewater treatment systems will change operational strategies of the novel nitrogen removal processes. The...
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Multi-pathway mechanism of polydopamine film formation at vertically aligned diamondised boron-doped carbon nanowalls
PublicationBoron-doped carbon nanowall (B:CNW) electrodes were used as a platform for studying the electropolymerisation of dopamine. Due to the unique properties of B:CNW, including the fast charge-transfer kinetics and high surface conductivity, a high degree of reversibility of redox reactions was achieved. Three separated redox peaks were observed on voltammograms and attributed to three fundamental reactions in the dopamine polymerisation...
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The reliability of tree and star networks.
PublicationOne of the important parameters characterizing the quality of computer networks is the network's reliability with respect to failures of the communication links and nodes. This chapter investigated the reliability of tree and star networks. The tree and star topology is used in centralized computer networks. In centralized computer networks all communication must take place through some central computer. Following measures of network...
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Chemia a zdrowa żywność : Dodatki i zanieczyszczenia żywności : problemy i wyzwania
PublicationPodstawowe składniki pożywienia to: tłuszcze, węglowodany, białka, składniki mineralne, w tym makroelementy i mikroelementy, witaminy oraz składniki bioaktywne. Niebezpiecznymi składnikami żywności mogą być: dodatki do żywności w trakcie procesu produkcji, substancje powstające w trakcie obróbki, organiczne i nieorganiczne zanieczyszczenia oraz substancje występujące w sposób naturalny, np. alkaloidy grzybowe. Stosowanie dodatków...
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Improving the energy balance in wastewater treatment plants by optimization of aeration control and application of new technologies
PublicationThe methods to improve the energy balance of a wastewater treatment plant (WWTP) by optimization of aeration process control and application of innovative nitrogen removal technologies were overviewed in the study. The control of aeration based on the ABAC (Ammonia-Based Aeration Control) system allows not only for significant savings in electricity consumption, but it can also increase the efficiency of the denitrification process....
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Wpływ sposobu suszenia na wiązkość i naprężenia tnące przy przecinaniu wybranych gatunków drewna
PublicationW rozprawie doktorskiej przedstawiono wpływ sposobów suszenia na wiązkość i naprężenia tnące w strefie skrawania, które zgodnie ze współczesną mechaniką pękania można uznać za energetyczne wskaźniki skrawalności. Badania zostały przeprowadzone dla próbek z drewna sosnowego (Pinus sylvestris L.) i bukowego (Fagus silvatica L.) suszonego czterema sposobami. Trzy z nich, to najczęściej wykorzystywane w przemyśle, suszenie w sposób...
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Cobalt(II) and Cobalt(III) Tri‐tert‐butoxysilanethiolates. Synthesis, Properties, Crystal and Molecular Structures of [Co{μ‐SSi(OBut)3}{SSi(OBut)3}(NH3)]2 and [Co{SSi(OBut)3}2(NH3)4][SSi(OBut)3] Complexes
PublicationThe heteroleptic neutral tri‐tert‐butoxysilanethiolate of cobalt(II) incorporating ammonia as additional ligand (1) has been prepared by the reaction of a cobalt(II) ammine complex with tri‐tert‐butoxysilanethiol in water. Complex 1, dissolved in hexane, undergoes oxidation in an ammonia saturated atmosphere to the ionic cobalt(III) compound 2. Molecular and...
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Synergistic effect of TiO2 photocatalytic advanced oxidation processes in the treatment of refinery effluents
PublicationDifferent types of photolytic and photocatalytic advanced oxidation processes (AOPs) were used for treatment of refinery effluents from bitumen production. The treatment efficiency was evaluated by analyzing chemical oxygen demand (COD), biological oxygen demand (BOD5), volatile organic compounds (VOCs) and sulfide ions concentration. The studies revealed a synergistic effect of application of external oxidants (O3, H2O2, O3/H2O2)...
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Smart Garden Suburb_Urban design II 2022/23
e-Learning CoursesIn the twenty-first century the idea of living in a perfect place combines the need for beauty&identity of the place with the ecology. Metropolises around the world are waiting for concepts that will expose the landscape values and give life in the suburbs high quality including energy efficiency and climate neutrality. A new concepts of are being discussed. Join this trend and look for solutions which merge expression of beauty...
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Zdolni z Pomorza 2022/23 - Od Diofantosa do Cramera – czyli spotkania z równaniami i układami równań (i nie tylko!)
e-Learning CoursesCelem kursu jest przedstawienie wybranych metod rozwiązywania równań, układów równań i nierówności oraz ich zastosowań w życiu codziennym. Równania opisują świat językiem matematyki. Stanowią podstawę do zrozumienia wielu procesów i zjawisk zachodzących w przyrodzie. Od wieków są siłą napędową naszej cywilizacji. Gdyby nie zostało sformułowane równanie – „Prawo powszechnego ciążenia Newtona” nie moglibyśmy dziś korzystać z łączności...
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Urban Design II _ New Urban Living 2023/24
e-Learning CoursesIn the twenty-first century the idea of living in a perfect place combines the need for beauty&identity of the place with the ecology. Metropolises around the world are waiting for concepts that will expose the landscape values and give life in the suburbs high quality including energy efficiency and climate neutrality. A new concepts of are being discussed. Join this trend and look for solutions which merge expression of beauty...
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Termodynamika oddziaływań substancji tetrafenylowych z wodą w świetle teorii funkcjonału gęstości
PublicationW termodynamice roztworów elektrolitów istotne jest zagadnienie podziału eksperymentalnie wyznaczanych wielkości termodynamicznych na udziały jonowe. Z uwagi na niemożność niezależnego wyznaczenia jonowych wielkości cząstkowych, podział wielkości charakteryzujących elektrolit musi być z konieczności dokonany w oparciu o założenie pozatermodynamiczne. Obecnie przyjmuje się, że najbardziej uzasadnionym teoretycznie i eksperymentalnie...
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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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Mutually polarizable QM/MM model with in situ optimized localized basis functions
PublicationWe extend our recently developed quantum-mechanical/molecular mechanics (QM/MM) approach [Dziedzic et al., J. Chem. Phys. 145, 124106 (2016)] to enable in situ optimization of the localized orbitals. The quantum subsystem is described with ONETEP linear-scaling density functional theory and the classical subsystem – with the AMOEBA polarizable force field. The two subsystems interact via multipolar electrostatics and are fully...
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Badania nad wykorzystaniem materiału skalnego z wierceń w formacjach łupkowych w procesach termicznych
PublicationZbadano właściwości urobku skalnego z wierceń w formacjach łupkowych pod kątem wykorzystania ich w masie zarobowej kruszywa lekkiego. Analizowano przemiany zachodzące podczas spiekania w temperaturze 1200°C, źródła powstawania fazy gazowej i wiążącej się z nią strukturą porowatą, wpływającą na jakość produktu gotowego. Punktem odniesienia były technologie produkcji popiołporytowych kruszyw lekkich. Proponowane rozwiązanie wytwarzania...
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Action Research - przygotowanie sądu do zmiany poprzez uczenie się - współpraca praktyków i badaczy
PublicationW praktyce zarządzanie sądem na ogół jest oddalone od teorii zarządzania. Prezesi sądów rzadko zwracają się do naukowców z prośbą o rozwiązanie ich problemów w zarządzaniu. W sądach brakuje nie tylko stałych form współpracy z naukowcami zajmującymi się zarządzaniem, ale także z innymi interesariuszami. Jedyną formą komunikacji, i to z ograniczoną liczbą interesariuszy, są formalne środki wyznaczone przez procedurę cywilną lub karną....
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Advancing sustainable wastewater management: A comprehensive review of nutrient recovery products and their applications
PublicationWastewater serves as a vital resource for sustainable fertilizer production, particularly in the recovery of nitrogen (N) and phosphorus (P). This comprehensive study explores the recovery chain, from technology to final product reuse. Biomass growth is the most cost-effective method, valorizing up to 95 % of nutrients, although facing safety concerns. Various techniques enable the recovery of 100 % P and up to 99 % N, but challenges...
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Recognition of Emotions in Speech Using Convolutional Neural Networks on Different Datasets
PublicationArtificial Neural Network (ANN) models, specifically Convolutional Neural Networks (CNN), were applied to extract emotions based on spectrograms and mel-spectrograms. This study uses spectrograms and mel-spectrograms to investigate which feature extraction method better represents emotions and how big the differences in efficiency are in this context. The conducted studies demonstrated that mel-spectrograms are a better-suited...
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H2O˙+ and OH+ reactivity versus furan: experimental low energy absolute cross sections for modeling radiation damage
PublicationRadiotherapy is one of the most widespread and efficient strategies to fight malignant tumors. Despite its broad application, the mechanisms of radiation-DNA interaction are still under investigation. Theoretical models to predict the effects of a particular delivered dose are still in their infancy due to the difficulty of simulating a real cell environment, as well as the inclusion of a large variety of secondary processes. This...
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Systemy automatycznej detekcji bezdechu sennego
PublicationZgodnie z przyjętą klasyfikacją międzynarodową identyfikowanych jest ponad 60 różnych zaburzeń snu [58] z podziałem na 7 kategorii. Bezdech senny, zarówno centralny jak i obturacyjny zaliczany jest do kategorii drugiej. Systemy pomiarowe wykorzystywane w monitorowaniu i diagnozie snu, w tym wykorzystywane do detekcji bezdechu sennego, można sklasyfikować ze względu na wiele kryteriów, np. ze względu na to czy badania wykonywane...
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Development of biocompatible iron oxide-silicon oxide core-shell nanoparticles as subcellular delivery platform for glucosamine-6-phosphate synthase inhibitors
PublicationIn order to develop the preparation of iron oxide-silica coreshell nanoparticles (CSNPs), thesis deeply explores the cetyltrimethylammonium (CTA+) directed silica coating methods of the oleic-acid capped iron oxide nanoparticles (OA-IONPs) initialized under near-neutral pH conditions. It is demonstrated that the initial alkaline hydrolysis of ethyl acetate in the presence of CTA+ and OA-IONPs induces an unusual ligand exchange...
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Non-Newtonian Mathematics Instead of Non-Newtonian Physics: Dark Matter and Dark Energy from a Mismatch of Arithmetics
PublicationNewtonian physics is based on Newtonian calculus applied to Newtonian dynamics. New paradigms such as ‘modified Newtonian dynamics’ (MOND) change the dynamics, but do not alter the calculus. However, calculus is dependent on arithmetic, that is the ways we add and multiply numbers. For example, in special relativity we add and subtract velocities by means of addition β1⊕β2=tanh(tanh−1(β1)+tanh−1(β2)), although multiplication β1⊙β2=tanh(tanh−1(β1)⋅tanh−1(β2)),...
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Stateczność fundamentów bezpośrednich posadowionych na zboczu z gruntu zbrojonego.
PublicationW monografii przedstawiono i przeanalizowano aktualny stan wiedzy oraz zaproponowano własną metodykę opartą na koncepcji ESE (Experimental Soil Engineering) dotyczącą obliczeń nośności i osiadania - a więc kompleksowego sprawdzenia stateczności - fundamentów bezpośrednich posadowionych na koronie zbocza z gruntu bez zbrojenia i z gruntu zbrojonego. Studia bibliograficzne (rozdział 2) objęły przeanalizowanie jakościowych i ilościowych...
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Cobalt(II) tri-tert-butoxysialanethiolates.Synthesis, properties, crystal and molecular structures of [Co{SSi(OtBu)3}2(L)] and[Co{SSi(OtBu)3}2(L)2] type complexes with monodentate nitrogen ligands.
PublicationThe title heteroleptic neutral cobalt(II) tri-tert-butoxysilanethiolate complexes with monodentate nitrogen bases (L) as additional ligands have been prepared by the reactions of [Co{μ-SSi(OtBu)3}{SSi(OtBu)3}(NH3)]2 (1) with respective bases. For pyridine both types have been prepared...
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Zdolni z Pomorza 2018/19 - Układy równań liniowych
e-Learning CoursesCel kursu: Celem kursu jest przedstawienie wybranych metod rozwiązywania równań, układów równań i nierówności oraz ich zastosowań w życiu codziennym. Opis kursu: Równania opisują świat językiem matematyki. Stanową podstawę do zrozumienia wielu procesów i zjawisk zachodzących w przyrodzie. Od wieków są siłą napędową naszej cywilizacji. Gdyby nie zostało sformułowane równanie – „Prawo powszechnego ciążenia Newtona” nie moglibyśmy...