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Tytuł:
Nearly irreducibility of polynomials and the Newton diagrams
Autorzy:
Masternak, Mateusz
Powiązania:
https://bibliotekanauki.pl/articles/1793463.pdf
Data publikacji:
2020-01-22
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
irreducibility of polynomials
Newton diagram
Newton polygon
plane algebraic curve
Opis:
Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in $C^{2}$. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 65-77
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
W stronę odnowionego wizerunku Newtona
Towards renovated Newtons image
Autorzy:
Rodzeń, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/690868.pdf
Data publikacji:
2019
Wydawca:
Copernicus Center Press
Tematy:
Izaak Newton
Newton as Philosopher
Mathematical Practitioners
natural philosophy
science and religion
geometry and mechanics
Isaac Newton
Opis:
Book review: Niccolò Guicciardini, Isaac Newton and Natural Philosophy, Reaktion Books, London 2018, ss. 268.
Recenzja książki: Niccolò Guicciardini, Isaac Newton and Natural Philosophy, Reaktion Books, London 2018, ss. 268.
Źródło:
Zagadnienia Filozoficzne w Nauce; 2019, 66; 310-316
0867-8286
2451-0602
Pojawia się w:
Zagadnienia Filozoficzne w Nauce
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A conjugate gradient method with quasi-Newton approximation
Autorzy:
Koko, Jonas
Powiązania:
https://bibliotekanauki.pl/articles/1208176.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Newton and quasi-Newton methods
unconstrained high-dimensional optimization
conjugate gradient methods
Opis:
The conjugate gradient method of Liu and Storey is an efficient minimization algorithm which uses second derivatives information, without saving matrices, by finite difference approximation. It is shown that the finite difference scheme can be removed by using a quasi-Newton approximation for computing a search direction, without loss of convergence. A conjugate gradient method based on BFGS approximation is proposed and compared with existing methods of the same class.
Źródło:
Applicationes Mathematicae; 2000, 27, 2; 153-165
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effect of rounding errors on a certain class of iterative methods
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1208172.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet derivative
Lipschitz conditions
Newton-like method
inexact Newton-like method
Banach space
Opis:
In this study we are concerned with the problem of approximating a solution of a nonlinear equation in Banach space using Newton-like methods. Due to rounding errors the sequence of iterates generated on a computer differs from the sequence produced in theory. Using Lipschitz-type hypotheses on the mth Fréchet derivative (m ≥ 2 an integer) instead of the first one, we provide sufficient convergence conditions for the inexact Newton-like method that is actually generated on the computer. Moreover, we show that the ratio of convergence improves under our conditions. Furthermore, we provide a wider choice of initial guesses than before. Finally, a numerical example is provided to show that our results compare favorably with earlier ones.
Źródło:
Applicationes Mathematicae; 2000, 27, 3; 369-375
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Łojasiewicz exponent of the gradient of a polynomial function
Autorzy:
Lenarcik, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/1294050.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
polynomial mapping
Łojasiewicz exponent
Newton diagram
Opis:
Let $h = ∑ h_{αβ} X^αY^β$ be a polynomial with complex coefficients. The Łojasiewicz exponent of the gradient of h at infinity is the least upper bound of the set of all real λ such that $|grad h(x,y)| ≥ c|(x,y)|^λ$ in a neighbourhood of infinity in ℂ², for c > 0. We estimate this quantity in terms of the Newton diagram of h. Equality is obtained in the nondegenerate case.
Źródło:
Annales Polonici Mathematici; 1999, 71, 3; 211-239
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wyzwanie dla racjonalności: Leibniz i początek ery Newtona
Rationality at Stake: Leibniz and the Beginnings of Newton’s Era
Autorzy:
Heller, Michał
Powiązania:
https://bibliotekanauki.pl/articles/690808.pdf
Data publikacji:
2016
Wydawca:
Copernicus Center Press
Tematy:
rationality
empiricism
Leibniz’s philosophy
Newton’s methodology
philosophy of science
Gottfried Wilhelm Leibniz
Isaack Newton
Opis:
Our present knowledge in the field of dynamical systems, information theory, probability theory and other similar domains indicates that the human brain is a complex dynamical system working in a strong chaotic regime in which random processes play important roles. In this environment our mental life develops. To choose a logically ordered sequence from a random or almost random stream of thoughts is a difficult and energy consuming task. The only domain in which we are able to do this with a full success is mathematics. Leibniz’s life ambition was to extend this success, with the help of what he called characteristica universalis, to other areas of human activity. The belief that this is possible lies at the basis of Leibniz’s rationalist system. Reasoning within his system, Leibniz claimed that also fundamental laws of physics can be deduced from the “first principles”. Just as linguistic or conceptual units are at the basis of the charactersistica universalis, his monads are responsible for physical activity of material bodies. When this rationalistic strategy is applied to the philosophy of space and time, it leads to their radically relational conception. Leibniz’s rationalistic approach to philosophy and science arouses out sympathy but it was Newton’s mathematical-empirical method that turned out to be effective in human endeavour to understand the functioning of the physical world. Successes of the Newtonian method  compel us to revise our concept of rationality.
Źródło:
Zagadnienia Filozoficzne w Nauce; 2016, 61; 5-22
0867-8286
2451-0602
Pojawia się w:
Zagadnienia Filozoficzne w Nauce
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
‘We Make Ourselves at Home Wherever We are’1-Older Peoples Placemaking in Newton Hall
Autorzy:
van Hoven, Bettina
Douma, Linden
Powiązania:
https://bibliotekanauki.pl/articles/623609.pdf
Data publikacji:
2012-07-26
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
ageing
older people
place attachment
Newton Hall
Opis:
The aim of this paper is to explore older in-migrants' experiences and perceptions of their spatial context at the neighbourhood level, the key aspects in their attachment to the neighbourhood, and the role of place in their experience of ageing. Our qualitative research was carried out in Newton Hall (United Kingdom). The findings show that older people can have a proactive role in terms of placemaking and their own wellbeing. However, the study also reveals that the condition of the spatial context can either support or hinder older people's sense of wellbeing.
Źródło:
European Spatial Research and Policy; 2012, 19, 1
1231-1952
1896-1525
Pojawia się w:
European Spatial Research and Policy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wind Powered Electricity Generation Through Self Excited Induction Generator
Autorzy:
Chaturvedi, Yatender
Goel, Ankit
Powiązania:
https://bibliotekanauki.pl/articles/1075571.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Magnetic saturation
Magnetizing reactance
Newton-Raphson method
Opis:
An iterative method is used to identify the saturated magnetizing reactance and the frequency of a self-excited induction generator for given capacitance, speed, and load in a systematic way. Under steady state, this procedure is effective in analyzing such systems. A correlation has been observed between the computational algorithm results & experimental outcomes. Under steady state condition, changes in various variables have been studies and the determination of the feasibility of such system is done.
Źródło:
World Scientific News; 2019, 121; 90-100
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Chaplyghin method for first order partial differential equations
Autorzy:
Puźniakowska, E.
Powiązania:
https://bibliotekanauki.pl/articles/255777.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
characteristics
Newton method
Chaplyghin sequences
initial problems
Opis:
Classical solutions of initial problems for nonlinear first order partial differential equations are considered. It is shown that under natural assumptions on given functions, there exist Chaplyghin sequences and they are convergent. Error estimates for approximate solutions are given. The method of characteristics is used for the construction of approximate solutions.
Źródło:
Opuscula Mathematica; 2008, 28, 2; 163-178
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-zero constant Jacobian polynomial maps of $ℂ²$
Autorzy:
Chau, Nguyen
Powiązania:
https://bibliotekanauki.pl/articles/1294068.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Jacobian conjecture
polynomial automorphism
Newton-Puiseux expansion
Opis:
We study the behavior at infinity of non-zero constant Jacobian polynomial maps f = (P,Q) in ℂ² by analyzing the influence of the Jacobian condition on the structure of Newton-Puiseux expansions of branches at infinity of level sets of the components. One of the results obtained states that the Jacobian conjecture in ℂ² is true if the Jacobian condition ensures that the restriction of Q to the curve P = 0 has only one pole.
Źródło:
Annales Polonici Mathematici; 1999, 71, 3; 287-310
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Chaplygin method for the Darboux problem
Autorzy:
Jaruszewska-Walczak, Danuta
Powiązania:
https://bibliotekanauki.pl/articles/745871.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
functional differential equation
Newton method
analytical approximations
Opis:
In the paper we deal with the Darboux problem for hyperbolic functional differential equations. We give the sufficient conditions for the existence of the sequence \(\{z^{(m)}\}\) such that if \(\tilde{z}\) is a classical solution of the original problem then \(\{z^{(m)}\}\) is uniformly convergent to z\(\tilde{z}\). The convergence that we get is of the Newton type.
Źródło:
Commentationes Mathematicae; 2007, 47, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inexact Newton’s method for generalized operator equations in Banach spaces
Autorzy:
Singh, V. K.
Powiązania:
https://bibliotekanauki.pl/articles/122957.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear operator equation
Fréchet derivative
Newton’s method
inexact
Newton method
pochodna Frécheta
metoda Newtona
niedokładna metoda Newtona
Opis:
In the present paper, we introduce a new inexact Newton-like algorithm for solving the generalized operator equations containing non differentiable operators in Banach space setting and discuss its semilocal convergence analysis under the weak Lipschitz condition with larger convergence domain and tighter error bounds. The main result of this paper is the significant improvement over the Newton’s method as well as the inexact Newton method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 85-97
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oktant morski Isaaca Newtona
Isaac Newton’s marine octant
Autorzy:
Rodzeń, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/2089504.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
Newton Isaac
octant
navigational instruments in the 17th century
Newton Izaak
oktant
przyrządy nawigacyjne w XVII wieku
Opis:
Isaac Newton is known primarily as an outstanding mathematician and physicist. Less known are his interests in alchemy, theology, and history. Yet, we still know very little about his interest in engineering and about how he designed and created several scientific instruments (e.g. a variant of the reflecting telescope, a variant of the rotary slide rule). Among them, there is also a navigational octant built by Newton in 1699. This device is an example of an ingenious solution in the field of early modern catadioptrical instruments.
Źródło:
Kwartalnik Historii Nauki i Techniki; 2020, 65, 3; 77--94
0023-589X
2657-4020
Pojawia się w:
Kwartalnik Historii Nauki i Techniki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Filozoficzny problem czasu i przestrzeni u Leibniza
Problem of Space and Time in Leibnizian Philosophy
Autorzy:
Woszczek, Marek
Powiązania:
https://bibliotekanauki.pl/articles/950204.pdf
Data publikacji:
2012-06-16
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
space
time
leibniz
newton
relational approach
absolutivist approach
Opis:
The problem of proper understanding of the space and time is one of the most enduring issues in the history of Western metaphysics. The article shows how Gottfried W. Leibniz approached them in the context of his broad relational stance in the metaphysics of nature and presents acute differences between this stance and the absolutivist-Newtonian view of space and time. Finally, some relevance of this controversy to the modern physics is pointed out.
Źródło:
Filozofia Publiczna i Edukacja Demokratyczna; 2012, 1, 1; 104-110
2299-1875
Pojawia się w:
Filozofia Publiczna i Edukacja Demokratyczna
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Approach for Solving Intuitionistic Dual Fuzzy Nonlinear Fractional Transportation Problem
Autorzy:
Anju, A.
Anukokila, P.
Powiązania:
https://bibliotekanauki.pl/articles/1068615.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Dual
Intuitionistic Fuzzy
Newton Raphson Method
Nonlinear Equations
Opis:
In this paper a new approach is explained for solving intuitionistic dual fuzzy fractional nonlinear equations. Here we have suggested a numerical method for solving a dual fuzzy nonlinear fractional equations instead of standard analytical techniques which are not suitable everywhere. Initially we wrote a dual fuzzy non-linear fractional equations in parametric form and then solve it by iterative method. An illustrative example is given to show the efficiency of our approach.
Źródło:
World Scientific News; 2019, 132; 220-232
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity
Autorzy:
Parusnikova, A. V.
Powiązania:
https://bibliotekanauki.pl/articles/1397832.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Painleve equations
Newton polygon
asymptotic expansions
Gevrey orders
Opis:
The question under consideration is Gevrey summability of formal power series solutions to the third and fifth Painlevé equations near infinity. We consider the fifth Painlevé equation in two cases: when $\alpha\beta\gamma\delta \ne 0 $ and when $\alpha\beta\gamma \ne 0, \delta = 0$ and the third Painlevé equation when all the parameters of the equation are not equal to zero. In the paper we prove Gevrey summability of the formal solutions to the fifth Painlevé equation and to the third Painlevé equation, respectively.
Źródło:
Opuscula Mathematica; 2014, 34, 3; 591-599
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Henry More i Isaac Newton o działaniu materii – kontekst neoplatoński
Henry More and Isaac Newton on the activity of matter – neoplatonic context
Autorzy:
Kucharski, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/431181.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Kardynała Stefana Wyszyńskiego w Warszawie
Tematy:
matter
motion
active principles
God
Neoplatonism
alchemy
More Henry
Newton Isaak
materia
ruch
zasady aktywne
Bóg
neoplatonizm
alchemia
Newton Izaak
Opis:
One of the main challenges for 17th-century natural philosophers was to find an answer to the question of what makes matter active at all? The legacy of 'prime matter' and its pure potentiality was still alive, and the adoption of corpuscular or atomistic theories did not change much here, the conviction about the total passivity of bodies was still dominant. Their actions demanded some explanation that would be the equivalent of an Aristotelian, non-material and active form. It seems that one of the philosophical traditions that were sought for such an explanation was the emanational metaphysics of Plotinus. In seventeenth-century systems it underwent various modifications, but its main idea, indicating the active role of certain 'principles' or 'spirits' responsible for initiating any changes in matter and managing them in accordance with the Creator's intention, remained the foundation of the theories of matter. An example of such solutions are the systems of Henry More and his good acquaintance from Cambridge, Isaac Newton. In the first case there is no doubt about the fundamental influence of Neoplatonism, but in the second case historians' opinions are divided. Newton reaches in search of 'active principles' for alchemical research, with the hope of finding these principles not only when referring to philosophical speculations, but also to experimental methods. This difference, however, does not change the fact that both philosophers try to discover the mode of action of 'active spirits', hesitating between placing in the particles of matter a number of separate principles and pointing to only one acting universally principle that was just an extension of God's arm – More calls it the Spirit of Nature (Vicarious Power of God), and Newton sees that principle ultimately in Christ (Viceroy of God).
Jednym z głównych wyzwań stojących przed filozofami przyrody XVII wieku było znalezienie odpowiedzi na pytanie, co sprawia, że materia w ogóle działa? Dziedzictwo ‘materii pierwszej’ i jej czystej potencjalności było wciąż żywe, a przyjęcie teorii korpuskularnej czy atomistycznej niewiele tu zmieniało, dominowało wciąż przekonanie o całkowitej bierności ciał. Ich działanie domagało się jakiegoś wyjaśnienia, które stanowiłoby odpowiednik arystotelesowskiej, niematerialnej i aktywnej, formy. Wydaje się, że jedną z tradycji filozoficznych, do których sięgano w poszukiwaniu takiego wyjaśnienia, była emanacyjna metafizyka Plotyna. W systemach XVII-wiecznych ulegała ona różnorodnym modyfikacjom, ale jej główna idea, wskazująca na aktywną rolę pewnych ‘zasad’, czy ‘duchów’ odpowiedzialnych za inicjowanie wszelkich zmian w materii i kierowanie nimi zgodnie z zamysłem Stwórcy, pozostawała fundamentem ówczesnych teorii działania materii. Przykładem takich rozwiązań są systemy Henry’ego More’a i jego dobrego znajomego z Cambridge, Izaaka Newtona. W pierwszym przypadku nie ma wątpliwości co do zasadniczego wpływu neoplatonizmu, w drugim jednak zdania historyków są podzielone. Newton sięga bowiem w poszukiwaniu ‘aktywnych zasad’ do badań alchemicznych, z nadzieją odnalezienia owych zasad nie tylko przy odwołaniu się do filozoficznych spekulacji, ale także do metod eksperymentalnych. Różnica ta jednak nie zmienia faktu, że obaj filozofowie starają się odkryć sposób działania ‘duchów aktywnych’, wahając się między umieszczeniem w cząstkach materii wielu odrębnych zasad a wskazaniem na zasadę jedną, działającą uniwersalnie i będącą niejako przedłużeniem Bożego ramienia – More nazywa ją Duchem Natury (Vicarious Power of God), a Newton upatruje jej ostatecznie w Chrystusie (Viceroy of God).
Źródło:
Studia Philosophiae Christianae; 2018, 54, 4; 5-26
0585-5470
Pojawia się w:
Studia Philosophiae Christianae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new Kantorovich-type theorem for Newtons method
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1338842.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Newton's method
Lipschitz-Hölder condition
Kantorovich hypothesis
Banach space
Opis:
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F'' satisfy Lipschitz conditions. Our convergence condition differs from earlier ones and therefore it has theoretical and practical value.
Źródło:
Applicationes Mathematicae; 1999, 26, 2; 151-157
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization model the pipe diameter in the drinking water distribution network using multi-objective genetic algorithm
Autorzy:
Sulianto, -
Setiono, Ernawan
Yasa, I. Wayan
Powiązania:
https://bibliotekanauki.pl/articles/1844381.pdf
Data publikacji:
2021
Wydawca:
Instytut Technologiczno-Przyrodniczy
Tematy:
diameter
genetic algorithm
network
Newton Raphson method
optimum
pipe
Opis:
Under conditions of gravity flow, the performance of a distribution pipe network for drinking water supply can be measured by investment cost and the difference in real and target pressures at each node to ensure fairness of the service. Therefore, the objective function for the optimization in the design of a complex gravity flow pipe network is a multi-purpose equation system set up to minimize the above-mentioned two parameters. This article presents a new model as an alternative solution to solving the optimization equation system by combining the Newton–Raphson and genetic algorithm (GA) methods into a single unit so that the resulting model can work effectively. The Newton–Raphson method is used to solve the hydraulic equation system in pipelines and the GA is used to find the optimal pipe diameter combination in a network. Among application models in a complex pipe network consisting of 12 elements and 10 nodes, this model is able to show satisfactory performance. Considering variations in the value of the weighting factor in the objective function, opti-mal conditions can be achieved at the investment cost factor (ω1) = 0.75 and the relative energy equalization factor at the service node (ω2) = 0.25. With relevant GA input parameters, optimal conditions are achieved at the best fitness value of 1.016 which is equivalent to the investment cost of USD 56.67 thous. with an average relative energy deviation of 1.925 m.
Źródło:
Journal of Water and Land Development; 2021, 48; 55-64
1429-7426
2083-4535
Pojawia się w:
Journal of Water and Land Development
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Load flow and contingency analysis for transmission line outage
Autorzy:
Aeggegn, Dessalegn Bitew
Salau, Ayodeji Olalekan
Gebru, Yalew
Powiązania:
https://bibliotekanauki.pl/articles/140622.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
contingency analysis
DIgSILENT software
line outage
Newton Raphson method
Opis:
In recent years, power systems have been pushed to operate above their limits due to the increase in the demand for energy supply and its usage. This increase is accompanied by various kinds of obstructions in power transmission systems. A power system is said to be secured when it is free from danger or risk. Power systems security deals with the ability of the system to withstand any contingencies without any consequences. Contingencies are potentially harmful disturbances which occur during the steady state operation of a power system. Load flow constitutes the most important study in a power system for planning, operation, and expansion. Contingency selection is performed by calculating two kinds of performance indices; an active performance index (PIP) and reactive power performance index (PIV) for a single transmission line outage. In this paper, with the help of the Newton Raphson method, the PIP and PIV were calculated with DIgSILENT Power Factory simulation software and contingency ranking was performed. Based on the load flow results and performance indexes, the Ethiopian Electric Power (EEP) North-West region network is recommended for an upgrade or the reactive power or series compensators should be constructed on the riskiest lines and substations.
Źródło:
Archives of Electrical Engineering; 2020, 69, 3; 581-594
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of partial differential equations with affine control constraints
Autorzy:
Reyes, J. R. de los
Kunisch, K.
Powiązania:
https://bibliotekanauki.pl/articles/1839187.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
affine control constraints
semi-smooth Newton methods
Opis:
Numerical solution of PDE optimal control problems involving affine pointwise control constraints is investigated. Optimality conditions are derived and a semi-smooth Newton method is presented. Global and local superlinear convergence of the method are obtained for linear problems. Differently from box constraints, in the case of general affine constraints a proper weighting of the control costs is essential for superlinear convergence of semi-smooth Newton methods. This is also demonstrated numerically by controlling the two-dimensional Stokes equations with different kinds of affine constraints.
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1217-1249
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kant a Newton (z perspektywy Opus postumum)
Kant and Newton (From the Perspective of Opus Postumum)
Autorzy:
Kupś, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/423403.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet w Białymstoku. Wydawnictwo Uniwersytetu w Białymstoku
Tematy:
Kant
Newton
progress of science
chemistry
postęp nauki
chemia
Opis:
Kant’s attitude towards Newton is ambiguous though he owes much to him. Although Newton’s physics is a paradigm of science for Kant, he is fully aware that few appearances occur accurately according to the way described by mechanics. When he ties the principles of his philosophy with Newton’s mechanics, Kant makes a mistake, for due to the development of knowledge it began losing its absolute position in science in his day. In Opus postumum Kant recognizes the mistake and no longer refers to the rules of Metaphysische Anfangsgründe der Naturwissenschaft as the ultimate ones. Till the beginning of his work on Opus postumum Newtonian mechanics was a paradigm of science for Kant. It ceases to be so in Opus postumum, where Newton is present mainly as the object of Kant’s polemics. The progress of science, new phenomena, new methods, the development of chemistry. In Metaphysische Anfangsgründe der Naturwissenschaft chemistry was not referred to as science (since it was Newton’s mechanics that was the paradigm of science), whereas in Metaphysik der Sitten (1797) Kant defines Lavoisier’s chemistry as the only chemistry [AA VI 207]; in Anthropologie [AA VII 326] (1798) he ranks Lavoisier as high as Archimedes and Newton. New main problems appeared science which had to deal with: combustibility, origin of acids, the change of the state of matter, electricity, magnetism and – first of all – theory of heat. The main notion of the new theory of chemistry developed by Lavoisier (ether, the caloric) takes the central position also in Kant’s theory of transition (Übergang).
Źródło:
IDEA. Studia nad strukturą i rozwojem pojęć filozoficznych; 2015, 27/t.t.; 203-220
0860-4487
Pojawia się w:
IDEA. Studia nad strukturą i rozwojem pojęć filozoficznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Krótka historia Principiów Newtona
A Short History of Newton’s Principia
Autorzy:
Pabjan, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/691280.pdf
Data publikacji:
2012
Wydawca:
Copernicus Center Press
Tematy:
history of science
Isaack Newton
Philosophiae Naturalis Principia Mathematica
Opis:
The Polish translation of the most famous treatise of Newton has just been published, which is a good opportunity to recall some of the episodes related to the origin of Principia. In the first part of this three piece paper, the historical context is presented, in which unsolved scientific problems – specially those of planetary motions – were discussed before Newton; in the second part, the circumstances of the process of the writing of the Principia are outlined; in the third part, some facts are recalled which show that not all scientists and philosophers at once recognized the value and the importance of Newton’s treatise. Finally, some remarks on the Polish edition are made.
Źródło:
Zagadnienia Filozoficzne w Nauce; 2012, 50; 102-117
0867-8286
2451-0602
Pojawia się w:
Zagadnienia Filozoficzne w Nauce
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wpływ zmiennego w czasie obciążenia zewnętrznego na parametry elastohydrodynamicznego (EHD) izotermicznego filmu olejowego
Influence of variable external load on the parameters of the isothermal elastohydrodynamic (EHD) oil film
Autorzy:
Buchalski, K.
Powiązania:
https://bibliotekanauki.pl/articles/311345.pdf
Data publikacji:
2013
Wydawca:
Instytut Naukowo-Wydawniczy "SPATIUM"
Tematy:
film EHD
metoda Newtona-Raphsona
EHD film
Newton-Raphson method
Opis:
W artykule przedstawiono metodykę rozwiązania zagadnienia wpływu zmiennego w czasie obciążenia zewnętrznego na parametry izotermicznego (EHD) filmu, takie jak: rozkład ciśnienia i grubość filmu olejowego na długości strefy kontaktu. Rozpatrywany kontakt jest liniowym stykiem skoncentrowanym dwóch walców oddzielonych warstwą smaru. W wyniku badań otrzymano rozkłady ciśnienia i grubości filmu olejowego w funkcji zmian częstotliwości obciążenia zewnętrznego.
This paper presents the methodology of solving the problem of variable external load which influence on the parameters of the isothermal (EHD) oil film such as pressure distribution and thickness of the oil film on the length of the contact zone. Contact is considered a concentrated line contact between two cylinders separated by a layer of grease. As a result of research received: pressure distributions and obtained oil film thickness as a function of the frequency change of the external load.
Źródło:
Autobusy : technika, eksploatacja, systemy transportowe; 2013, 14, 3; 1575-1583
1509-5878
2450-7725
Pojawia się w:
Autobusy : technika, eksploatacja, systemy transportowe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Actual picture of the law of universal gravitation and the quantum gravity theory describing the real state of the universe
Autorzy:
Borowski, T.
Powiązania:
https://bibliotekanauki.pl/articles/412595.pdf
Data publikacji:
2013
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
classical gravity theory
quantum gravity theory
dark matter
Copernicus
Newton
Opis:
This paper presents the real sense of the classical and quantum theory of gravitation as a component of the actual picture of the universe where the volume, as the size of the expanding universe, approaches infinity, while the total of material masses goes to zero. At present, these two standard theories describe the phenomenon of gravitation but do not explain the very mechanism and the cause of this process. This constant and real lack of information on that subject is consistent with natural laws and the same with the laws of physics, which were already experimentally determined by Werner Heisenberg in 1927. The paper also presents the causes of inability to explain up to the present the actual picture of the essence of the universe.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2013, 11; 44-53
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of parameters of Tömquist’s functions with Newton-Raphson’s method
Szacowanie parametrów funkcji Törnquista metoda Newtona-Raphsona
Autorzy:
Mantaj, Andrzej
Wagner, Wiesław
Powiązania:
https://bibliotekanauki.pl/articles/907038.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Tömquist’s functions
Newton-Raphson’s method
estimation of parameters
Opis:
In the work there has been discussed Newton-Raphson’s iterative method of estimation of parameters of Tömquist’s functions of general class and there are derived formulas of their partial derivatives of Ist and 2nd rank. It enabled presentation of uniform form of the vector of parameters of successive iterative approximations allowing their implementation in Excel calculation sheet.
Dla wyznaczania parametrów funkcji Törnquista proponowanych jest wiele metod, wśród nich metody linearyzacji. Są one jednak mało efektywne, aczkolwiek stanowią dobre przybliżenia początkowe parametrów do zastosowania metody Newtona-Raphsona. W tych sytuacjach rozwiązania optymalne najczęściej uzyskuje się już po kilku krokach iteracyjnych. Rozważania przeprowadzone w pracy dotyczyły jednej ogólnej postaci dla wszystkich trzech typów funkcji Törnquista. Umożliwiło to podanie jednolitych wzorów na pochodne cząstkowe względem parametrów funkcji kryterialnej, a jednocześnie pozwoliło na sformułowanie ogólnej postaci wektora przybliżeń w metodzie Newtona- Raphsona.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2008, 216
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptation of the Regularization Parameters in the Nm-Delta Networks
Autorzy:
Gołąbek, P.
Kosiński, W.
Powiązania:
https://bibliotekanauki.pl/articles/911150.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
regularyzacja
Levenberg-Marquardt
NM-Delta
M-Delta
regularization
quasi-Newton
Opis:
The paper describes an application of regularization techniques to an automatic choice of parameters driving the learning process in the NM-Delta neural network architecture. The heterogeneous learning algorithm is identified as very similar to the Levenberg-Marquardt method but with a considerably smaller computational cost and different justification of parameter selection. The performance of the modified algorithm proves to be comparable with that of the Levenberg-Marquardt.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 4; 779-790
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Torsional buckling of restrained thin-walled bars of open bisymmetric cross-section
Autorzy:
Kujawa, M.
Powiązania:
https://bibliotekanauki.pl/articles/1933950.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska
Tematy:
thin-walled bars
torsional buckling
energetic approach
Newton-Raphson's method
Opis:
The problem of torsional budding of restrained thin-walled bars of an open constant bisymmetnc cross-section was solved using the minimum total stationary elastic energy condition (J. S. Przemieniecki 1968 Theory of Matrix Structural Analysis McGraw-Hill, New York) and the Newton-Raphson method (S. C. Chapra and R. P. Canale 1998 Numerical Methods for Engineers McGraw-Hill Book Company). The consideration was restricted to the elastic structures. The example presented in the paper helps to assess the correctness of the proposed solution. This article is an addition to the author's considerations contained in M Kujawa 2012 TASK Quart. 16 (1/2) 5.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 3-4; 301--306
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficiency and Convergence of Bisection, Secant, and Newton Raphson Methods in Estimating Implied Volatility
Autorzy:
Mahrudinda, Mahrudinda
Munandar, Devi
Purwani, Sri
Powiązania:
https://bibliotekanauki.pl/articles/1193324.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Black-Scholes model
Newton Raphson
bisection
secant
volatility
volatility implied
Opis:
This study aims to estimate volatility prices based on the black-Scholes model (BSM) function with research data taken during the COVID-19 pandemic. The estimates of the volatility values are obtained by using three numerical methods, namely the bisection, secant, and Newton Raphson methods. The numerical processes that produce some iteration results in the three methods are then analyzed and the best convergence is sought. As a result, Newton Raphson method produces the smallest number of iterations, which stops at the 3rd iteration and gets a volatility value of 0.500451 with an absolute error value of 0.000388. However, the method requires an initial approximation which lies only in two intervals on the axis σ which are close to the true root. Meanwhile, for the other two methods, namely Bisection and Secant, this limitation does not apply, as long as there is an interval that guarantees the existence of roots. In this case, bisection method requires11 iterations to converge with volatility value of 0.500342 and error value of 0.000878. Whereas secant method requires 4 iterations to converge with a volatility value of 0.500449 and error value of 1.68938E-05. This suggests, that in some cases the use of Newton method, should be initialized with the use of bisection or secant method, to ensure successful iteration and accelerate the rate of convergence.
Źródło:
World Scientific News; 2021, 153, 2; 157-168
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algorithm of a freeform surfaces measurement adjustment using a specification of the workpiece coordinate system location
Autorzy:
Buša, J.
Buša, J. Jr.
Dovica, M.
Fabian, M.
Ižol, P.
Honus, S.
Powiązania:
https://bibliotekanauki.pl/articles/103412.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
freeform surface
cloud of points
Nelder-Mead method
Newton method
Opis:
A difficulty of freeform surfaces evaluations lies in a setup of a coordinate measuring system in general, when it is not possible to use the standard system of alignment by a point, a line, and a surface. An algorithm for the measurement adjustment using a small workpiece coordinate system movement and rotation to achieve a smaller least square error of the produced surface for a given freeform surface defined by the function of two variables is considered. The algorithm uses the Newton method for calculation of the orthogonal distance of a measured point to a given surface and also for minimization of the sum of the distance squares. Numerical results for an example are given.
Źródło:
Advances in Science and Technology. Research Journal; 2017, 11, 3; 223-232
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Engineering interests and inventions of Isaac Newton
Autorzy:
Rodzeń, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/783330.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Umiejętności
Tematy:
Isaac Newton, engineering, scientific instruments, steam engine, history of navigation, 17th century science
Isaac Newton, inżynieria, przyrządy naukowe, maszyna parowa, historia nawigacji, siedemnasty wiek
Opis:
The paper presents engineering interests of Isaac Newton, including some of his technical inventions. So far, this topic has not been studied in a broader manner and in more depth. This article discusses Newton’s youthful passions against the backdrop of the so-called mathematical magic literature. His two inventions, i.e. variants of the reflecting telescope and the marine octant are also discussed. Finally, an example is provided of the involvement of the author of Principia in a discussion around the steam engine and the ship powered by such engine designed by Denis Papin.
Artykuł przedstawia zainteresowania inżynierskie Isaaca Newtona, w tym niektóre z jego wynalazków technicznych. Temat ten nie doczekał się jak dotąd szerszego i pogłębionego opracowania. W artykule poruszono młodzieńcze pasje Newtona na tle literatury z zakresu tzw. magii matematycznej. Omówiono także dwa wynalazki Newtona – wariant teleskopu zwierciadłowego i oktant morski. Na koniec został przytoczony przykład zaangażowania autora Zasad w dyskusję nad projektem technicznym maszyny parowej i napędzanego przez nią statku autorstwa Denisa Papina.
Źródło:
Studia Historiae Scientiarum; 2020, 19
2451-3202
Pojawia się w:
Studia Historiae Scientiarum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Predicting in multivariate incomplete time series. Application of the expectation-maximisation algorithm supplemented by the Newton-Raphson method
Autorzy:
Korczyński, Adam
Powiązania:
https://bibliotekanauki.pl/articles/1806793.pdf
Data publikacji:
2021-08-24
Wydawca:
Główny Urząd Statystyczny
Tematy:
missing data
multivariate time series
expectation-maximisation algorithm
Newton-Raphson algorithm
Opis:
Statistical practice requires various imperfections resulting from the nature of data to be addressed. Data containing different types of measurement errors and irregularities, such as missing observations, have to be modelled. The study presented in the paper concerns the application of the expectation-maximisation (EM) algorithm to calculate maximum likelihood estimates, using an autoregressive model as an example. The model allows describing a process observed only through measurements with certain level of precision and through more than one data series. The studied series are affected by a measurement error and interrupted in some time periods, which causes the information for parameters estimation and later for prediction to be less precise. The presented technique aims to compensate for missing data in time series. The missing data appear in the form of breaks in the source of the signal. The adjustment has been performed by the EM algorithm to a hybrid version, supplemented by the Newton-Raphson method. This technique allows the estimation of more complex models. The formulation of the substantive model of an autoregressive process affected by noise is outlined, as well as the adjustment introduced to overcome the issue of missing data. The extended version of the algorithm has been verified using sampled data from a model serving as an example for the examined process. The verification demonstrated that the joint EM and Newton-Raphson algorithms converged with a relatively small number of iterations and resulted in the restoration of the information lost due to missing data, providing more accurate predictions than the original algorithm. The study also features an example of the application of the supplemented algorithm to some empirical data (in the calculation of a forecasted demand for newspapers).
Źródło:
Przegląd Statystyczny; 2021, 68, 1; 17-46
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boullee, Wolter, Newton. Architektura i newtonianizm w dobie oświecenia
Boullee, Voltaire, Newton. Architecture and newtonianism in the age of Enlightment
Autorzy:
Świtek, Gabriela
Powiązania:
https://bibliotekanauki.pl/articles/706994.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Boullee
Voltaire
Newton
theory of architecture
Enlightment
Wolter
teoria architektury
oświecenie
Opis:
This article presents selected aspects of the cult of Isaac Newton in France during the Age of the Enlightenment that appear both in Voltaire’s philosophical writings as well as in contemporary visual culture. These reflections feed into art historical interest in the affinity of “two cultures” (C.P. Snow), that is science and humanities, at the same raising questions on methods of research in the reception of scientific theories in art. The paper recalls earlier research on the phenomenon of Newtonianism in eighteenth century European culture (F. Wagner, J.B. Shank), as well as discussions on Newtonian iconography in literature and the visual arts (M.H. Nicholson, M. Keynes, F. Haskell, J. Gage, A.M. Vogt). The celebrated project by Étienne-Louis Boullée for Newton’s cenotaph serves as the main architectural example of Newtonianism in the Age of Enlightenment, but also contributes to analysis on the reception of scientific discoveries in visual arts. The description of Newton’s cenotaph, included in Architecture; Essai sur l’art by Boullée, is compared with selected excerpts from Letters on the English and Elements of Newton’s Philosophy by Voltaire, these being the main source of the popularization of his scientific discoveries in France. The design for Newton’s monument is interpreted in the context of a wider phenomenon, namely the cult of the genius and the cult of posterity in the Enlightenment era. Two aspects of Boullée’s project – the spherical shape and the symbolism of light – are subject to a more detailed analysis, since the decomposition of light and the law of gravity that encompasses the infinite space of the universe are the two main themes recurring in Newton’s iconography, in literature, painting and sculpture. The spherical shape of the cenotaph (as noted earlier by the architect’s monographer A.M. Vogt) is not an “illustration” of Newton’s discovery; the law of gravity assumes that the Earth is not a sphere, but a spheroid. The spherical form of the monument can, at most, be considered as an example of the quest for new formulations of iconography, referring to the attributes of the astronomer and Astronomy (Urania); as one example of the so-called fabriques astronomiques; as a reinterpretation of the shape of the Pantheon; or a reference to then contemporary hot air ballooning. The contrast of light and shadow, mentioned by Boullée in his description of the cenotaph, has little in common with the representation of the famous Newtonian experiment of the dispersive prism. Rather, it forms part of a new and persuasive symbolism of light and darkness, typical of the French Enlightenment, present for example in the depictions of the Apotheosis of Voltaire, as well as in the aesthetics of the sublime outlined by Edmund Burke. The importance of light in Newton’s cenotaph is interpreted in conjunction with the iconography of a small garden building in Ermenonville (Temple de la Philosophie Moderne), in which one column bearing the inscription “Newton – Lucem” was dedicated to the scientist. This context brings us to an earlier analysis of this rotunda (V. Klein), which emphasized that Newton’s achievements – known in France in the second half of the eighteenth century – included not just the decomposition of white light using a prism, but also an early hypothesis defining light as a kind of ether.
Źródło:
Rocznik Historii Sztuki; 2014, 39; 73-96
0080-3472
Pojawia się w:
Rocznik Historii Sztuki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization Method Based on Minimization M-Order Central Moments Used In Surveying Engineering Problems
Autorzy:
Cellmer, Sławomir
Bobojć, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/2069748.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
Least Squares method
Newton method
objective function
m-estimation
surveying engineering
Opis:
A new optimization method presented in this work – the Least m-Order Central Moments method, is a generalization of the Least Squares method. It allows fitting a geometric object into a set of points in such a way that the maximum shift between the object and the points after fitting is smaller than in the Least Squares method. This property can be very useful in some engineering tasks, e.g. in the realignment of a railway track or gantry rails. The theoretical properties of the proposed optimization method are analyzed. The computational problems are discussed. The appropriate computational techniques are proposed to overcome these problems. The detailed computational algorithm and formulas of iterative processes have been derived. The numerical tests are presented, in order to illustrate the operation of proposed techniques. The results have been analyzed, and the conclusions were then formulated.
Źródło:
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2021, 24(1); 39--49
1505-4675
2083-4527
Pojawia się w:
Technical Sciences / University of Warmia and Mazury in Olsztyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
CHB inverter with DC-link capacitor balancing and total harmonic minimization
Autorzy:
Armi, F.
Manai, L.
Besbes, M.
Powiązania:
https://bibliotekanauki.pl/articles/141332.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
CHB inverter
capacitor voltage balancing
switching angles
Newton Raphson
algorithm
SHE
THD
Opis:
A cascaded H-bridge (CHB) multilevel inverter generally requires several DC sources. An alternative option is to replace the separate DC source feeding an H-bridge cell with a capacitor, while maintaining the other H-bridge cell with a real DC voltage source. In this paper a 7-level cascaded H-bridge inverter with a single DC-source is presented. This paper focuses mainly to achieve effective capacitor voltage balancing and selective harmonic elimination (SHE) based on the Newton Raphson algorithm (N–R). It shows hope to reduce the voltage ripple of the capacitors, which leads to higher power conversion efficiency with equal power distribution, reduces the initial cost, and complexity hence it is apt for industrial applications. Simulation results support the proposed control technique.
Źródło:
Archives of Electrical Engineering; 2018, 67, 1; 81-93
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Cobb-Douglas Production Function to Manufacturing Industries in West Sumatra Indonesia
Autorzy:
Nurunnajib, Ahfazh Fauzy
Wulan, Elis Ratna
Awalluddin, Asep Solih
Supian, Sudradjat
Subiyanto, Subiyanto
Powiązania:
https://bibliotekanauki.pl/articles/1177721.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Cobb-Douglas Production Function
Least Square Estimation
Manufacturing Industry
Newton Raphson Method
Opis:
In this paper, we discusses one of the production functions that shows the relationship between the level of output and the level of input combinations that called Cobb-Douglas production function. The estimation method used is the least square estimation with the settlement using Newton Raphson iteration. The Cobb-Douglas production function is applied to five selected manufacturing industries in West Sumatra. From the research result, the return to scale (RTS) of the rubber and plastic goods industry is 0.8424 and the return to scale of the food and beverage industry is 0.8496 in which the two industries produce RTS <1. Whereas return to scale of the publishing and printing industry is 1.0460, the return to scale of the textile industry is 1.0018, and the return to scale of the non-metallic mining industry is 1.3384. Of the three industries each produce RTS> 1.
Źródło:
World Scientific News; 2018, 101; 145-156
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Newton numbers and residual measures of plurisubharmonic functions
Autorzy:
Rashkovskii, Alexander
Powiązania:
https://bibliotekanauki.pl/articles/1207853.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Monge-Ampère operator
local indicator
directional Lelong number
plurisubharmonic function
Newton polyhedron
Opis:
We study the masses charged by $(dd^cu)^n$ at isolated singularity points of plurisubharmonic functions u. This is done by means of the local indicators of plurisubharmonic functions introduced in [15]. As a consequence, bounds for the masses are obtained in terms of the directional Lelong numbers of u, and the notion of the Newton number for a holomorphic mapping is extended to arbitrary plurisubharmonic functions. We also describe the local indicator of u as the logarithmic tangent to u.
Źródło:
Annales Polonici Mathematici; 2000, 75, 3; 213-231
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The "Second Derivative" of a Non-Differentiable Function and its Use in Interval Optimization Methods
Autorzy:
Kubica, B. J.
Powiązania:
https://bibliotekanauki.pl/articles/308398.pdf
Data publikacji:
2011
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
Dirac delta
distributions
generalized derivative
interval computations
interval Newton method
nondifferentiable optimization
Opis:
The paper presents an idea to use weak derivatives in interval global optimization. It allows using the Newton operator to narrow domains of non-differentiable functions. Preliminary computational experiments are also presented.
Źródło:
Journal of Telecommunications and Information Technology; 2011, 4; 81-85
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Czy Isaac Newton wynalazł napęd odrzutowy
Did Isaac Newton invent jet propulsion technology
Autorzy:
Rodzeń, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/1398805.pdf
Data publikacji:
2018-12-31
Wydawca:
Polska Akademia Nauk. Instytut Historii Nauki im. Ludwika i Aleksandra Birkenmajerów
Tematy:
Isaac Newton
silnik parowy
technika
mit historiograficzny
steam engine
technology
historiographical myth
Opis:
Since the 19th century, both popular and professional literature presented a possibility according to which Isaac Newton contributed to some extent to the invention of jet propulsion. In the presented paper, this view is carefully analysed. Various authors attributed to Newton the design of a road vehicle (the so-called Newton’s steam carriage) moved by ejection of hot steam. This opinion was expressed in certain works written by the first supporters of Newton, e.g. Willem Jacob ’s Gravesande, John Theophilus Desaguliers Desaguliers and Jean Antoine Nollet. What is more, there are miniature models of such a vehicle present in some collections of scientific instruments. Relying on the above examples, it would be hard to prove that Newton was indeed the true inventor of jet propulsion. However, there is no doubt that he was very interested in various engineering issues and invented several scientific instruments, e.g. the variant of a reflecting telescope, a sea octant and a rotary slide rule.
Źródło:
Analecta. Studia i Materiały z Dziejów Nauki; 2018, 27, 2; 115-138
1509-0957
Pojawia się w:
Analecta. Studia i Materiały z Dziejów Nauki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The inverse determination of volume fraction of fibres in reinforced composite with imperfect thermal contact between constituents
Odwrotne określenie objętościowego udziału włókien we wzmocnionym kompozycie z niedoskonałym kontaktem termicznym pomiędzy składnikami
Autorzy:
Mierzwiczak, M.
Kołodziej, J. A.
Powiązania:
https://bibliotekanauki.pl/articles/279324.pdf
Data publikacji:
2011
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
effective thermal conductivity
inverse heat transfer problem
boundary collocation method
Newton method
Opis:
The paper considers the problem of determination of the volume fraction of fibres in an unidirectionally reinforced composite in order to provide the appropriate effective thermal conductivity. The problem formulated in such a way should be treated as an inverse heat transfer problem. The thermal conductivities of constituents (fibres and matrix) and fibres arrangement are known. The calculations are carried out for an imperfect thermal contact between the fibres and matrix.
W pracy rozważa się problem określenia objętościowego udziału włókien w jednokierunkowo wzmocnionym kompozycie w celu uzyskania odpowiedniego efektywnego współczynnika przewodzenia ciepła. Problem sformułowany w ten sposób jest traktowany jako odwrotny problem przewodzenia ciepła. Współczynniki przewodzenia ciepła składników (włókien i matrycy) oraz sposób ułożenia włókien są znane. Obliczenia są wykonane dla niedoskonałego kontaktu termicznego pomiędzy włóknami i matrycą.
Źródło:
Journal of Theoretical and Applied Mechanics; 2011, 49, 4; 987-1001
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-dimensional Newtons problem of minimal resistance
Autorzy:
Silva, C. J.
Torres, D. F.
Powiązania:
https://bibliotekanauki.pl/articles/969988.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Newton's problem of minimal resistance
dimension two
calculus of variations
optimal control
Opis:
Newton's problem of minimal resistance is one of the first problems of optimal control: it was proposed, and its solution given, by Isaac Newton in his masterful Principia Mathematica, in 1686. The problem consists of determining, in dimension three, the shape of an axis-symmetric body, with assigned radius and height, which offers minimum resistance when it is moving in a resistant medium. The problem has a very rich history and is well documented in the literature. Of course, at a first glance, one suspects that the two dimensional case should be well known. Nevertheless, we have looked into numerous references and asked at least as many experts on the problem, and we have not been able to identify a single source. Solution was always plausible to everyone who thought about the problem, and writing it down was always thought not to be worthwhile. Here we show that this is not the case: the two-dimensional problem is richer than the classical one, being, in some sense, more interesting. Novelties include: (i) while in the classical three-dimensional problem only the restricted case makes sense (without restriction on the monotonicity of admissible functions the problem does not admit a local minimum), we prove that in dimension two the unrestricted problem is also well-posed when the ratio of height versus radius of base is greater than a given quantity; (ii) while in three dimensions the (restricted) problem has a unique solution, we show that in the restricted two-dimensional problem the minimizer is not always unique - when the height of the body is less or equal than its base radius, there exists infinitely many minimizing functions.
Źródło:
Control and Cybernetics; 2006, 35, 4; 965-975
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A logarithmic barrier function method for solving nonlinear multiobjective programming problems
Autorzy:
Tlas, M.
Abdul Ghani, B.
Powiązania:
https://bibliotekanauki.pl/articles/970097.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
metoda wewnętrzna
metoda Newtona
multiobjective programming
interior methods
Newton method
barrier functions
Opis:
An interior point method for solving nonlinear multiobjective programming problems, over a convex set contained in the real space R^n, has been developed in this paper. In this method a new strictly concave logarithmic barrier function has been suggested in order to transform the orginal problem into a sequence of unconstrained subproblems. These subproblems can be solved using Newton method for determining Newton's directions along which line searches are performed. It also has been proved that the number of iterations required by the suggested algorithm to converge to an [epsilon]-optimal solution is 0(m|ln[epsilon]|), depending on predetermined error tolerance [epsilon] and the number of constraints m.
Źródło:
Control and Cybernetics; 2005, 34, 2; 487-504
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Metoda pozycjonowania powierzchni stawowych w modelowaniu MES
A method for positioning the geometrical models of human joints in different positions
Autorzy:
Klekiel, T.
Powiązania:
https://bibliotekanauki.pl/articles/99017.pdf
Data publikacji:
2017
Wydawca:
Politechnika Śląska. Katedra Biomechatroniki
Tematy:
modelowanie
metoda Newtona
metoda elementów skończonych
modelling
Newton method
finite elements method
Opis:
Praca dotyczy opracowania metody przeznaczonej do pozycjonowania modeli geometrycznych kości na podstawie przyjętego obiektywnego kryterium. Zagadnienie zdefiniowano jako problem optymalizacyjny. Zastosowano metodę Newtona do pozycjonowania elementów kostnych stawu kolanowego dla dowolnego kąta zgięcia. Zaproponowano rozwiązanie umożliwiające ustalenie wzajemnego położenia powierzchni stawowych stawu kolanowego dla modeli geometrycznych kości udowej oraz piszczelowej pozyskanej z tomografii komputerowej dla wyprostowanej kończyny. Zastosowanie proponowanej metody umożliwia dokładne pozycjonowanie elementów bryłowych, dzięki czemu uzyskano wymagany kontakt powierzchni stawowych. Przedstawiona metoda umożliwia uzyskanie dokładnych modeli stawu dla dowolnych położeń.
This paper presents the method to preparation geometrical models in which the suitable position is required. The author applied the Newton algorithm to finding solution for nonlinear set of equations. These equations are prepared from general relations between independent coordinates. Application was realized in VBA language based on data received from model generated in ANSYS Inc. Software. The proposed method was examined for finding position problem for the fibula and tibia bones in knee joint for different angles during bending of knee. The error of solutions was determined as a mean distance between selected spaces. The results were compared on the space selected to represented the cartilage contact in the joint.
Źródło:
Aktualne Problemy Biomechaniki; 2017, 12; 41-50
1898-763X
Pojawia się w:
Aktualne Problemy Biomechaniki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On rational functions related to algorithms for a computation of roots. II
Autorzy:
Baran, Mirosław
Powiązania:
https://bibliotekanauki.pl/articles/93140.pdf
Data publikacji:
2019
Wydawca:
Państwowa Wyższa Szkoła Zawodowa w Tarnowie
Tematy:
iterative method
Newton method
rational function
metoda iteracyjna
metoda Newtona
funkcja wymierna
Opis:
We discuss a nice composition properties related to algorithms for computation of N-roots. Our approach gives direct proof that a version of Newton's iterative algorithm is of order 2. A basic tool used in this note are properties of rational function Φ(w; z) = z-w/(z+w), which was used earlier in [1] in the case of algorithms for computations of square roots.
Źródło:
Science, Technology and Innovation; 2019, 7, 4; 26-29
2544-9125
Pojawia się w:
Science, Technology and Innovation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive Newton-like method for shape optimization
Autorzy:
Roche, J. R.
Powiązania:
https://bibliotekanauki.pl/articles/970159.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optymalizacja kształtu
zdolność przystosowania się
shape optimization
Newton-like algorithm
posteriori error
adaptability
Opis:
The aim of this work is to introduce an adaptive strategy to monitor the rate of convergence of a Newton-like method in numerical shape optimization. Such superlinear iterative algorithms are often computationally intensive and the rate of convergence depends on how accurate the numerical solution of the state equation is. The model concerns a cost function depending on the unknown domain [Omega], and the solution of an integral equation.
Źródło:
Control and Cybernetics; 2005, 34, 1; 363-377
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fale grawitacyjne w grawitacji Newtona oraz propozycja testu laserowego interferometru fali grawitacyjnej (LIGO)
Gravity waves in Newton’s gravitation and test proposition of laser interferometer gravitational-wave (LIGO)
Autorzy:
Szostek, R.
Góralski, P.
Szostek, K.
Powiązania:
https://bibliotekanauki.pl/articles/136054.pdf
Data publikacji:
2017
Wydawca:
Wyższa Szkoła Techniczno-Ekonomiczna w Szczecinie
Tematy:
fala grawitacyjna
grawitacja Newtona
interferometr LIGO
gravitational wave
Newton’s gravity
LIGO interferometer
Opis:
Wstęp i cel: W artykule wykazane zostało, że z prawa ciążenia Newtona wynika istnienie fal grawitacyjnych. Materiał i metody: Matematyczne wyprowadzenie oraz numeryczna symulacja. Wyniki: W artykule pokazane zostały różnice pomiędzy przebiegiem fal grawitacyjnych wynikających z grawitacji Newtona oraz przebiegiem fal grawitacyjnych wynikających z Ogólnej Teorii Względności, których pomiar został ogłoszony przez zespół LIGO (Laser Interferometer Gravitational- Wave Observatory). W artykule zaproponowana została metoda testowania interferometru laserowego do pomiaru fali grawitacyjnej używanego w obserwatorium LIGO. Wniosek: Fale grawitacyjne wynikające z prawa ciążenia Newtona mają inny przebieg niż fale grawitacyjne wynikające z Ogólnej Teorii Względności. Według obu teorii fale grawitacyjne są cyklicznymi zmianami natężenia pola grawitacyjnego. Do uwiarygodnienia wyników ogłoszonych przez zespół LIGO konieczne jest strojenie tego urządzenia. Dopiero wtedy będzie wiadomo, co w rzeczywistości mierzy LIGO. Zjawisko koincydencji poważnie podważa wiarygodność pomiarów ogłoszonych przez zespół LIGO.
Introduction and aim: The article shows that the gravitational waves result from Newton’s gravitational law. Material and methods: Mathematical derivation and numerical simulation. Results: The article presents the differences between the course of gravitational waves resulting from Newton’s gravity and the course of gravitational waves resulting from the General Theory of Relativity, the measurement of which was announced by the LIGO team (Laser Interferometer Gravitational-Wave Observatory). The article proposed a method for testing a laser interferometer for measuring the gravitational wave used in the LIGO Observatory. Conclusion: The gravitational waves resulting from Newton’s gravitational law have a different course than the gravitational waves resulting from the General Theory of Relativity. According to both theories, gravitational waves are cyclical changes in the intensity of the gravitational field. To authenticate the results announced by the LIGO team, it is necessary to adjustment this device. Only then will it be known what LIGO actually measures. The co-integration phenomenon seriously undermines the credibility of the measurements announced by the LIGO team.
Źródło:
Problemy Nauk Stosowanych; 2017, 7; 133-154
2300-6110
Pojawia się w:
Problemy Nauk Stosowanych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the torque as a measure of mechanical interaction in the principles of dynamics
O momencie, jako mierze mechanicznego oddziaływania w zasadach dynamiki
Autorzy:
Cveticanin, L.
Powiązania:
https://bibliotekanauki.pl/articles/281240.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Newton’s Laws
active and reaction torques
d’Alembert’s principle of dynamics
Opis:
In most discussions, the Principles of Dynamics are expressed using the force as a measure of mechanical interaction between the bodies. The intention of the paper is to extend the usual discussion on basic theorems, laws and principles in Dynamics of rigid bodies including the torque as another independent measure of mechanical interaction between the bodies. In D’Alambert’s principle of Dynamics, beside the forces, the active and reaction torques are also included. The torque is introduced in the Euler-Newton equations for general motion of the rigid body. The General Equation of Dynamics is reformulated by including the virtual work of the torques on the virtual rotation. An additional view to Newton’s Laws is also given.
W większości rozważań, zasady dynamiki są wyrażane poprzez siły rozumiane jako miary mechanicznych oddziaływań pomiędzy ciałami. Celem tej pracy jest rozszerzenie zwyczajowego podejścia do aksjomatów, praw i zasad dynamiki o pojęcie momentu jako niezależnej miary mechanicznego oddziaływania. Wielkość tę wstawiono do zasady d’Alemberta w postaci momentu czynnego i biernego reakcyjnego. Przedstawiono również momentowe równania Eulera-Newtona dla ogólnego przypadku ruchu bryły sztywnej. Na nowo sformułowano ogólne równanie dynamiki poprzez wstawienie pracy przygotowanej momentu na przemieszczeniu kątowym. Dodatkową dyskusją objęto trzy zasady dynamiki Newtona.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 1; 171-181
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1338691.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
superlinear
Fréchet derivative
weak convergence
inexact Newton method
strong
forcing sequence
Banach space
Opis:
We use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach space. Solving a nonlinear equation using Newton iterates at each stage is very expensive in general. That is why we consider inexact Newton methods, where the Newton equations are solved only approximately, and in some unspecified manner. In earlier works [2], [3], natural assumptions under which the forcing sequences are uniformly less than one were given based on the second Fréchet derivative of the operator involved. This approach showed that the upper error bounds on the distances involved are smaller compared with the corresponding ones using hypotheses on the first Fréchet derivative. However, the conditions on the forcing sequences were not given in affine invariant form. The advantages of using conditions given in affine invariant form were explained in [3], [10]. Here we reproduce all the results obtained in [3] but using affine invariant conditions.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 457-465
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel hybrid iterative method for applied mathematical models with time-efficiency
Autorzy:
Jamali, Khalid
Solangi, Muhammad Anwar
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/2202025.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear equation
computational order
efficiency index
convergence order
Newton’s method
równanie nieliniowe
Opis:
Non-linear phenomena appear in many fields of engineering and science. Research on numerical methods is continually extending with the improvement of the latest computing tools. In today’s computational field, one requires maximum achievement in a minimum amount of time. Therefore, there is a need to modify the Newton-type method to achieve higher-order convergence to solve non-linear equations. While the modified methods are expected to be higher-order convergent, the minor computational information and the maximum time efficiency are also important factors. We propose a three-step hybrid iterative method having a non-linear nature. Per iteration, the method requires three function evaluations and three first-order derivatives. The method is theoretically proven to be tenth-order convergent. The mathematical results of the proposed strategy to solve models from fluid dynamics, electric field, and real gases demonstrated better performance. In light of error analysis, computational productivity, and CPU times, the proposed method’s performance is compared to the famous Newton and a recently proposed tenth-order method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 19--29
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Newton and NCP-methods: convergence, regularity, actions
Autorzy:
Kummer, Bernd
Powiązania:
https://bibliotekanauki.pl/articles/729371.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
nonsmooth functions
generalized Newton methods
critical points
complementarity
SQP methods
inverse mappings
regularity
Opis:
Solutions of several problems can be modelled as solutions of nonsmooth equations. Then, Newton-type methods for solving such equations induce particular iteration steps (actions) and regularity requirements in the original problems. We study these actions and requirements for nonlinear complementarity problems (NCP's) and Karush-Kuhn-Tucker systems (KKT) of optimization models. We demonstrate their dependence on the applied Newton techniques and the corresponding reformulations. In this way, connections to SQP-methods, to penalty-barrier methods and to general properties of so-called NCP-functions are shown. Moreover, direct comparisons of the hypotheses and actions in terms of the original problems become possible. Besides, we point out the possibilities and bounds of such methods in dependence of smoothness.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 2; 209-244
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-50 z 92

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