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Search results for: DIRAC DELTA DISTRIBUTION
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A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices
PublicationThe orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices is evaluated in a closed form. It is found to be proportional to a sum of two terms, both depending on the second upper indices and containing the Dirac delta distribution.
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Orthogonality relations for the associated Legendre functions of imaginary order
PublicationOrthogonality relations for the associated Legendre functions of imaginary order are derived. They are expressed in terms of the Dirac delta function. The method is based on some known properties of the associated Legendre functions and the Dirac delta distribution. A special case of one of the relations has appeared in some recent applications.
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Packing [1,Delta]-factors in graphs of small degree
PublicationRozważano problem znalezienia w grafie zadanej liczby k krawędziowo rozłącznych [1,Delta]-faktorów, gdzie Delta oznacza stopień grafu. Problem ten można rozwiązać w czasie liniowym dla k=2, jest on jednak NP-trudny dla każdego k>=3. Pokazano, że wariant minimalizacjny problemu dla k=2 jest NP-trudny dla grafów planarnych podkubicznych, jednak w ogólności istnieje algorytm (42 Delta - 30) / (35 Delta - 21) - aproksymacyjny.
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TEM, EDS and optical microscope images of pristine and silica-coated bismuth oxide (Bi2O3) and gadolinium oxide (Gd2O3) structures.
Open Research DataData consists of raw TEM/EDS and optical microscope images of pristine and silica-coated bismuth oxide (Bi2O3) and gadolinium oxide (Gd2O3) structures. Additional TEM images and optical microscope images of silica shells were included.
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Two-spinors, oscillator algebras, and qubits: aspects of manifestly covariant approach to relativistic quantum information
PublicationThe first part of the paper reviews applications of 2-spinor methods to relativistic qubits (analogies between tetrads in Minkowski space and 2-qubit states, qubits defined by means of null directions and their role for elimination of the Peres-Scudo-Terno phenomenon, advantages and disadvantages of relativistic polarization operators defined by the Pauli-Lubanski vector, manifestly covariant approach to unitary representations...
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Movement perception with the use of a motorized delta armrest and virtual reality
PublicationIn this paper we present a combination of neuroscience experiments with the use of a parallel armrest robot to study the effects of temporal delays and spatial biases on the movement perception. A dedicated armrest to guide and manipulate the arm has been developed for these experiments. It is a three-degree-of-freedom Delta structure. In combination with a virtual reality application, the movement perception has been evaluated....
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Dirac fermions and possible weak antilocalization in LaCuSb2
PublicationLayered heavy-metal square-lattice compounds have recently emerged as potential Dirac fermion materials due to bonding within those sublattices. We report quantum transport and spectroscopic data on the layered Sb square-lattice material LaCuSb2. Linearly dispersing band crossings, necessary to generate Dirac fermions, are experimentally observed in the electronic band structure observed using angle-resolved photoemission spectroscopy,...
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Analog fault signature based on sigma-delta modulation and oscillation-test methodology.
PublicationW artykule dokonano przeglądu prac z zakresu testowania układów elektronicznych metodą oscylacyjną. Wskazując na niedostatki aktualnie stosowanej techniki testowania oscylacyjnego zaproponowano nową sygnaturę uszkodzeń dla układów analogowych. Proponowany parametr diagnostyczny jest wydobywany z odpowiedzi czasowej oscylatora testującego, w układzie złożonym z detektora szczytowego, modulatora sigma-delta oraz licznika rewersyjnego....
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Experiencing historic waterways and water landscapes of the Vistula River Delta
PublicationThe paper gives insights into the characteristics of Vistula River Delta water landscapes, referring to the process of creating land out of water by Polish, Dutch and German settlers. Based on this, the paper presents an integrated strategy formed upon studies in cultural geography and aesthetics, and focused on enhancing the unique characteristics of the region and its rediscovery by tourism. The long process of constructing Vistula...
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THE INFLUENCE OF WATER-LAND RELATIONS ON THE LANDSCAPE AND ARCHITECTURE OF THE VISTULA DELTA (POLAND)
PublicationThe Vistula Delta is unique region of water domination. In this part of Europe, historic rural assumptions have been developing since the 12th century. Practically, it can be said that most of the systems were related to the coexistence of the human and the water element. Relations of water and land, developed specific types of villages such as a water-based village. Water landscape; polders, canals, dikes and rivers, hydro-technical...
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Numerical conditioning of delta-domain Lyapunov and Riccati equations
PublicationW pracy rozważono problem uwarunkowania dyskretno czasowych równań Lapunowa oraz równań Riccatiego - to znaczy problem wrażliwości rozwiązań takich równań na odchyłki ich parametrów od nominalnych wartości. Zdefiniowano odpowiedni "różniczkowy" wskaźnik uwarunkowania oraz podano efektywną metodę szacowania jego wartości. Udowodniono teoretycznie - a także przekonująco zilustrowano na drodze numerycznej - twierdzenie głoszące, iż...
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Variational principles for bound states of Schrödinger and Dirac equations allowing the use of discontinuous trial functions
PublicationWe present systematic constructions of variational principles for energies of bound states of the Schroedinger and Dirac equations. The principles allow the use of discontinuous trial functions. The method employed is based on a generalized Lagrange procedure. Relationships between our variational principles and those available in the literature are established.
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Teoretyczne i praktyczne aspekty zastosowania modulatora sigma-delta w testerze wbudowanym BIST
PublicationPrzedstawiono teoretyczne i praktyczne aspekty zastosowania modulatora sigma-delta w testerze wbudowanym BIST, przeznaczonym do diagnostyki mieszanych sygnałowo pakietów elektronicznych. Omówiono podstawowe parametry modulatorów. Przeprowadzono dyskusję możliwych wariantów wyboru rodzaju, parametrów, architektury oraz technologii wykonania modulatora sigma-delta. Opracowano behawioralny model modulatora drugiego rzędu o własciwościach...
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Zero-range potentials for Dirac particles: Bound-state problems
PublicationA model in which a massive Dirac particle in $\mathbb{R}^{3}$ is bound by $N\geqslant1$ spatially distributed zero-range potentials is presented. Interactions between the particle and the potentials are modeled by subjecting a particle's bispinor wave function to certain limiting conditions at the potential centers. Each of these conditions is parametrized by a $2\times2$ Hermitian matrix (or, equivalently, a real scalar and a...
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Simplified Dirac--Coulomb Equations
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Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function
PublicationWe utilize the Sturmian expansion of the Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B 30, 825 (1997)] to obtain components of the dynamic dipole polarizability tensor of the relativistic hydrogenlike atom in the ground state. It is found that the tensor may be expressed in terms of two independent quantities: a scalar polarizability and a vector polarizability, the latter being of the relativistic origin. In the static...
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Analytical design of stable delta-domain generalized predictive control
PublicationPraca dotyczy analitycznej metody projektowania układów sterowania skalarnymi (SISO) obiektami czasu ciągłego według strategii uogólnionego sterowania predykcyjnego (GPC) w oparciu o dyskretnoczasowe modele takich obiektów. Założono wykorzystanie numeryczne odpornych modeli opartych o tak zwany operator delta. Przyjmując kwadratowy funkcjonał kosztów, w którym prognozowany przebieg przyszłego wyjścia sterowanego obiektu porównywany...
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Revitalization of the Narrow-Gauge Żuławy Commuter Railway and its effect on shipping conditions in the Vistula delta
PublicationThe article presents the Żuławy Access Railway and the effect of its revitalization on the change of navigational conditions in the Vistula delta. One of the problems analyzed in the article is the intersection of two different transport branches - the inland waterway and rail transport branches. A solution to the problem of their functioning is presented, without any major restrictions. Possible changes in navigational conditions...
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Robust design in delta domain for SISO plants: PI and PID controllers
PublicationW pracy przedstawiono zunifikowaną metodę numerycznie odpornej syntezy sterowników (regulatorów) działających w dyskretnym czasie w układach sterowania skalarnymi obiektami czasu ciągłego. Wykorzystano dyskretnoczasowe modele takich obiektów, oparte na tak zwanym operatorze delta, charakteryzującym się korzystnymi odpornościowymi cechami w przypadku stosowania dostatecznie małych wartości okresu próbkowania przetwarzanych sygnałów....
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Oznaczanie delta-9-tetrahydrokanabinolu
PublicationMarihuana, haszysz, olej haszyszowy- otrzymywany z konopi narkotycznych są najbardziej popularnymi nielegalnymi produktami na rynku narkotycznym. Material dowodowy trafiający do laboratorium kryminalistycznego powinien być jednoznacznie zidentyfikowany jako pochodna rośliny z rodziny Cannabis.
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Analysis of the state of preservation the historic arcaded houses in Vistula Delta listed in the National Inventory of Historical Monuments
PublicationHistoric arcaded houses are part of the material heritage of the Vistula Delta. Unfortunately, their number is decreasing year by year. The article is the result of a query of available sources and field research carried out by the author in 2015-2020. The paper presents the current state of preservation the historic arcaded houses in Vistula Delta listed in the National Inventory of Historical Monuments. Criteria for the selection...
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Evaluation the P-Delta Effect on Collapse Capacity of Adjacent Structures Subjected to Far-field Ground Motions
PublicationIn urban areas, adjacent structures can be seen in any insufficient distance from each other, because of economic reasons and refusal of acquired minimum separation distance according to seismic previsions. Collapse capacity assessment of structures is one of the important objectives of performance-based seismic engineering. The purpose of this study is to consider the pounding phenomenon and P-Delta effect in seismic collapse...
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PHI DELTA KAPPAN
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A J-lossless coprime factorisation approach to H control in delta domain
PublicationPraca dotyczy sterowania wielowymiarowym obiektem dynamicznym czasu ciągłego opisanym dyskretnoczasowym modelem w przestrzeni stanu, przy założeniu, że wskaźnik jakości sterowania oparty jest na normie H-inf. Odpowiednie zadanie optymalizacji tego wskaźnika rozwiązuje się, stosując tak zwaną względnie pierwszą J-bezstratną faktoryzację modelu sterowanego. Pokazano, że synteza optymalnego sterownika, wymagająca rozwiązania dwóch...
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Noncentrosymmetric superconductor with a bulk three-dimensional Dirac cone gapped by strong spin-orbit coupling
PublicationThe layered, noncentrosymmetric heavy element PbTaSe2 is found to be superconducting. We report its electronic properties accompanied by electronic-structure calculations. Specific heat, electrical resistivity, and magnetic-susceptibility measurements indicate that PbTaSe2 is a moderately coupled, type-IIBCSsuperconductor (Tc = 3.72 K, Ginzburg–Landau parameter κ = 17) with an electron-phonon coupling constant of λep = 0.74. Electronic-structure...
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A comparative study of organic pollutants in seawater, sediments and oyster tissues at Hab River Delta, Balochistan coast, Pakistan
PublicationThis chapter is about a Comparative Study of Organic Pollutants in Seawater, Sediments, and Oyster Tissues at Hab River Delta, Balochistan Coast, Pakistan.
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Magnetic-field-induced electric quadrupole moments for relativistic hydrogenlike atoms: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationWe consider a Dirac one-electron atom placed in a weak, static, uniform magnetic field. We show that, to the first order in the strength of the external field, the only electric multipole moments, which are induced by the perturbation in the atom, are those of an even order. Using the Sturmian expansion of the generalized Dirac-Coulomb Green function we derive a closed-form expression for the electric quadrupole moment induced...
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Static electric and magnetic multipole susceptibilities for Dirac one-electron atoms in the ground state
PublicationWe present tabulated data for several families of static electric and magnetic multipole susceptibilities for hydrogenic atoms with nuclear charge numbers from the range $1\leq Z\leq137$. Atomic nuclei are assumed to be point-like and spinless. The susceptibilities considered include the multipole electric polarizabilities $\alpha_{\mathrm{E}L\to\mathrm{E}L}$ and magnetizabilities (magnetic susceptibilities) $\chi_{\mathrm{M}L\to\mathrm{M}L}$...
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Continuum wave functions for estimating the electric dipole moment: Calculation based on a multiconfiguration Dirac-Hartree-Fock approximation
PublicationThe multiconfiguration Dirac-Hartree-Fock method is employed to calculate the continuum electron wave functions, which are then used to estimate their contribution to the atomic electric dipole moment (EDM) of 129Xe. The EDM arises from (P,T)-odd electron-nucleon tensor-pseudotensor and pseudoscalar-scalar interactions, the nuclear Schiff moment, the interaction of the electron electric dipole moment with nuclear magnetic moments,...
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Nuclear magnetic shielding constants of Dirac one-electron atoms in some low-lying discrete energy eigenstates
PublicationWe present tabulated data for the nuclear magnetic shielding constants (σ) of the Dirac one-electron atoms with a pointlike, motionless and spinless nucleus of charge Ze. Utilizing the exact general analytical formula for σ derived by us (Stefańska, 2016) valid for an arbitrary discrete energy eigenstate, we have computed the numerical values of the magnetic shielding factors for the ground state and for the first and the second...
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The Lost Kinetic Architecture and How to Reintroduce it in the Landscape – The Case Study of the Drainage Windmills in the Vistula Delta
PublicationRecreating the lost kinetic landscape of the Vistula Delta is a considerable challenge. The study aims to propose a method for reproducing windmills and their effect on the landscape. The paper suggests a method based on the transposition of the forms of movement from windmills historically present in the region to modern forms. The method is based on a series of analyses starting with the study of the region and its history followed...
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A comprehensive assessment of environmental pollution by means of heavy metal analysis for oysters' reefs at Hab River Delta, Balochistan, Pakistan
PublicationThe heavy metal pollution status of oyster reefs has been assessed with respect to ten metals pollutants in seawater, sediments, and tissues of above two oysters (soft tissues and shells) for assessing the pollution status in a short food chain in Hab River Delta. The results showed that heavy metals accumulated in M. bilineata were higher than those in M. cuttackensis. Simultaneously, the population of M. bilineata species has...
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Journal of Distribution Science
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Survivin Delta Ex3 Overexpression in Thyroid Malignancies
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Closed-form expression for the magnetic shielding constant of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac–Coulomb Green function
PublicationWe present analytical derivation of the closed-form expression for the dipole magnetic shielding constant of a Dirac one-electron atom being in an arbitrary discrete energy eigenstate. The external magnetic field, by which the atomic state is perturbed, is assumed to be weak, uniform, and time independent. With respect to the atomic nucleus we assume that it is pointlike, spinless, motionless, and of charge Ze. Calculations are...
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Static magnetic multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationWe study far- and near-field magnetic and electric multipole moments induced in the ground state of the Dirac one-electron atom placed in a weak 2L-pole magnetostatic field. The analysis is carried out within the framework of the first-order Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian expansion of the generalized Dirac-Coulomb Green function [Szmytkowski, J. Phys. B 30, 825 (1997);J. Phys. B 30, 2747(E)...
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Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationThe Sturmian expansion of the generalized Dirac--Coulomb Green function [R.\/~Szmytkowski, J.\ Phys.\ B 30 (1997) 825; erratum 30 (1997) 2747] is exploited to derive a closed-form expression for the magnetizability of an arbitrary discrete state of the relativistic one-electron atom with a point-like, spinless and motionless nucleus of charge $Ze$. The result has the form of a double finite sum involving the generalized hypergeometric...
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Kappa Delta Pi Record
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Robust pole placement in delta domain for SISO plans
Publication...
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Decymator do przetwornika A/C typu ä(delta)
PublicationArtykuł opisuje projekt decymatora wykorzystywanego w przetworniku analogowo-cyfrowym typu ä(trójkt). Zaprojektowana struktura została zasymulowana zza pomocą programu MATLAB. Rozwijając architekturę decymatora szczególny nacisk został położony na minimalizację pobieranej mocy.
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Static electric multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationThe ground state of the Dirac one-electron atom, placed in a weak, static electric field of definite $2^{L}$ polarity, is studied within the framework of the first-order perturbation theory. The Sturmian expansion of the generalized Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B: At. Mol. Opt. Phys. 30, 825 (1997); erratum R. Szmytkowski, J. Phys. B: At. Mol. Opt. Phys. 30, 2747 (1997)] is used to derive closed-form analytical...
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Impact of probability distribution on the uncertainty of resistance measurement
PublicationThe paper presents studies on the influence of probability distributions on the expanded uncertainty of the resistance measurement. Choosing the correct probability distribution is very important to estimate of measurement uncertainty. The paper presents the results of analysis of the resistance measurement uncertainty using the technical method of resistance: 100 G. The analysis of the uncertainty...
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Analysis of cell cycle distribution
Open Research DataThe dataset comprehensively details the distribution of A549, H226, and H460 cell lines in various cell cycle phases following treatment with the IC90 concentration of selected anthraquinones. The analysis was performed using the Flowing Software 2.
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Progress towards a unified approach to entanglement distribution
PublicationEntanglement distribution is key to the success of secure communication schemes based on quantum mechanics, and there is a strong need for an ultimate architecture able to overcome the limitations of recent proposals such as those based on entanglement percolation or quantum repeaters. In this work we provide a broad theoretical background for the development of such technologies. In particular, we investigate the question of whether...
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Use of the Delta plate for surgical treatment of patients with condylar fractures
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Numerically robust delta - domain solutions to discrete - time Lyapunoequation
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Residence time distribution in rapid multiphase reactors
PublicationResidence time distribution (RTD) provides information about average hydraulic residence time and the distribution of material in the reactor. A method for determining RTD for reactors with very short hydraulic residence times is deconvolution based on extraction of real RTD by the analysis of a non-ideal input signal. The mean residence time and dispersion were determined for the spinning fluids reactor (SFR). For the first time...
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Distribution of the displacement sequence of an orientation preserving circle homeomorphism
PublicationIn some applications not only the knowledge of the behaviour of trajectories of a map is important, but also their displacements. We describe in detail the distribution of elements of the displacement sequence along a trajectory of an orientation preserving circle homeomorphism ϕ with irrational rotation number ϱ(ϕ). The values of displacement are dense in a set which depends on the map γ (semi-)conjugating ϕ with the rotation...
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Scattering of Dirac particles from nonlocal separable potentials: The eigenchannel approach
PublicationZastosowano nowe sformułowanie metody kanałów własnych [R. Szmytkowski, Ann. Phys. (N.Y.) 311, 503 (2004)] w rozpraszaniu cząstek Diraca na nielokalnych potencjałach separowalnych.
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Convergence of expansions in Schrödinger and Dirac eigenfunctions, with an application to the R-matrix theory
PublicationW pracy zbadano właściwości rozwinięć w szeregi funkcji własnych dla zagadnień Schrödingera i Diraca. Potwierdzono obserwacje poczynione wcześniej przez Rosenthala oraz przez Szmytkowskiego i Hinze, że szereg funkcyjny występujący w teorii R-macierzy dla cząstek Diraca w ogólności nie zbiega do funkcji ciągłej.