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Wyświetlanie 1-15 z 92
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
Wyświetlanie 1-15 z 92

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