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    Wyświetlanie 1-22 z 22
    Tytuł:
    Entire solutions for some critical equations in the Heisenberg group
    Autorzy:
    Pucci, Patrizia
    Temperini, Letizia
    Powiązania:
    https://bibliotekanauki.pl/articles/2048898.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Heisenberg group
    entire solutions
    critical exponents
    Opis:
    We complete the study started in the paper [P. Pucci, L. Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no. 007], giving some applications of its abstract results to get existence of solutions of certain critical equations in the entire Heinseberg group. In particular, different conditions for existence are given for critical horizontal p-Laplacian equations.
    Źródło:
    Opuscula Mathematica; 2022, 42, 2; 279-303
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and multiplicity results for quasilinear equations in the Heisenberg group
    Autorzy:
    Pucci, Patrizia
    Powiązania:
    https://bibliotekanauki.pl/articles/254748.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Heisenberg group
    entire solutions
    critical exponents
    Opis:
    In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation [formula] in Hn, depending on a real parameter λ, which involves a general elliptic operator A in divergence form and two main nonlinearities. Here, in the so called sublinear case, we prove existence for all λ > 0 and, for special elliptic operators A, existence of infinitely many solutions [formula].
    Źródło:
    Opuscula Mathematica; 2019, 39, 2; 247-257
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Entre o Determinismo e o Indeterminismo: um caminho da física à filosofia
    Between Determinism and Indeterminism: A Path from Physics to Philosophy
    Autorzy:
    Meneses, Ramiro Délio Borges De
    Powiązania:
    https://bibliotekanauki.pl/articles/485685.pdf
    Data publikacji:
    2017
    Wydawca:
    Instytut Studiów Międzynarodowych i Edukacji Humanum
    Tematy:
    Determinism, Nature’s Laws and W. Heisenberg principle
    Opis:
    In this article, I explain the macroscopic aspect of the functions of Nature’s Laws that they are based on actual causality from n-physic structures. However, in the microscopic situation, the Nature’s Laws are statisticals and subjects sentences, that in metric and objective indeterminism of wave-particle duality in fieri are ground. Meanwhile, we propose the philosophical foundations of properties of Nature’s Laws and your epistemological discussion, according to the W. Heisenberg’s principles condition. The uncertainty principle describes limits imposed by nature on the precision of simultaneous measurements of the position and momentum of an object. Mathematically stated, if an object is said to be at a position x within an uncertainty of Δ ; then any simultaneous measurement of the x component of momentum must have an uncertainty Δ x consistent with: Δ x . Δ p x ~ h.
    Źródło:
    Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2017, 1(24); 13-32
    1898-8431
    Pojawia się w:
    Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Concentration compactness results for systems in the Heisenberg group
    Autorzy:
    Pucci, Patrizia
    Temperini, Letizia
    Powiązania:
    https://bibliotekanauki.pl/articles/255214.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Heisenberg group concentration-compactness
    critical exponents
    Hardy terms
    Opis:
    In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal. 9 (2020), 895-922] on some variants of the concentration-compactness principle in bounded PS domains Ω of the Heisenberg group [formula]. The concentration-compactness principle is a basic tool for treating nonlinear problems with lack of compactness. The results proved here can be exploited when dealing with some kind of elliptic systems involving critical nonlinearities and Hardy terms.
    Źródło:
    Opuscula Mathematica; 2020, 40, 1; 151-163
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities
    Autorzy:
    Chen, J.
    Rocha, E. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255734.pdf
    Data publikacji:
    2013
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    sub-elliptic equations
    Heisenberg group
    Least energy solutions
    Opis:
    For a class of sub-elliptic equations on Heisenberg group HN with Hardy type singularity and critical nonlinear growth, we prove the existence of least energy solutions by developing new techniques based on the Nehari constraint. This result extends previous works, e.g., by Han et al. [Hardy-Sobolev type inequalities on the H-type group, Manuscripta Math.118 (2005), 35–252].
    Źródło:
    Opuscula Mathematica; 2013, 33, 2; 237-254
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Heisenberg analytical-numerical model of nanoparticle with para- and ferromagnetism
    Autorzy:
    Leble, Sergey
    Chychkalo, Anastasiia
    Powiązania:
    https://bibliotekanauki.pl/articles/1955221.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Gdańska
    Tematy:
    magnetic nanoparticle
    Heisenberg partition function
    agnetization curves
    hysteresis loop
    Opis:
    Two models of two- and three-layers of a magnetic nanoparticle are presented applying the Heisenberg theory with the parameter (exchange integral and closest neighbors) values for surface layers, which differ from the bulk layer values. The difference in the numbers of closest neighbors is taken into account. The corresponding distribution and partition functions are constructed. The magnetization of the particles is calculated by the conventional transition to thermodynamics. The results are illustrated by plots, representing magnetization curves and hysteresis loops for the layer contributions. The magnetization curves for both models are compared.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2019, 23, 3; 303-317
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Relacje między filozofią a współczesną nauką na przykładzie pism Wernera Heisenberga
    Relations between philosophy and modern science on the example of the writings of Werner Heisenberg
    Autorzy:
    Sobkowiak, Sebastian
    Powiązania:
    https://bibliotekanauki.pl/articles/1048055.pdf
    Data publikacji:
    2019-12-15
    Wydawca:
    Uniwersytet im. Adama Mickiewicza w Poznaniu
    Tematy:
    Werner Heisenberg
    fizyka a filozofia
    filozofia nauki
    czas
    przyczynowość
    materia
    zasada nieoznaczoności Heisenberga
    physics and philosophy
    philosophy of science
    time
    causality
    matter
    heisenberg uncertainty principle
    Opis:
    The article aims at presenting the relationship between science and philosophy based on the works of Werner Heisenberg. It deals with the infl uence of the scientifi c breakthrough on the understanding of physical concepts such as matter, time and causality. It also contains a discussion on the process of creating a new branch of science – quantum mechanics, and shows how the work and views of Heisenberg contributedto it. The relationship between physics and philosophy is presented here with particular emphasis on showing the results of research and philosophical refl ections on the concepts of matter, the philosophy of the language of science, the theory of unifi cation and the fl agship work of Heisenberg: the principle of uncertainty.
    Źródło:
    Filozofia Chrześcijańska; 2019, 16; 139-159
    1734-4530
    2450-0399
    Pojawia się w:
    Filozofia Chrześcijańska
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A restriction theorem for the Heisenberg motion
    Autorzy:
    Ratnakumar, P. K.
    Rawat, Rama
    Thangavelu, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1219046.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Hermite function
    special Hermite function
    Laguerre function
    class-1 representation
    Heisenberg motion group
    Opis:
    We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.
    Źródło:
    Studia Mathematica; 1997, 126, 1; 1-12
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Digital information processing: The Lie groups defining the filter banks of the compact disc
    Autorzy:
    Binz, E.
    Shempp, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/1963000.pdf
    Data publikacji:
    2002
    Wydawca:
    Politechnika Gdańska
    Tematy:
    information technology
    CD-Digital Audio format
    holographic data storage
    Heisenberg Lie group
    filter bank design
    Opis:
    The versality of the compact disc (CD) has quickly become apparent to manufacturers and users alike. Exceeding the expectations of even its most ardent supporters, the CD holographic disc storage system has become one of the most successful consumer electronics products ever introduced. The phenomenal success of the audio CD on the eager worldwide marketplace has encouraged rapid development of CD technology and spawned entirely new high tech applications for the dimpled disc. The Mini Disc (MD), for instance, occupies about one-fourth the area of the standard CD-Digital Audio (CD-DA) format yet provides an identical playing time through efficient data reduction. The essence of digital audio lies in its numerical basis. It is the aim of the present paper to elaborate the mathematical principles underlying the audio CD as far as they are concerned to the format's electronic and holographic principles.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 2; 283-307
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The vision of the future without atomic power
    Autorzy:
    Nakatomi, Kiyokazu
    Powiązania:
    https://bibliotekanauki.pl/articles/2131683.pdf
    Data publikacji:
    2014
    Wydawca:
    Instytut Studiów Międzynarodowych i Edukacji Humanum
    Tematy:
    explosion at Fukushima nuclear plant
    atomic bomb
    Heisenberg
    Heidegger
    Jinsaburo Takagi
    new energy in future
    Opis:
    In March 2011 Japan experienced a series of disasters starting from a magnitude 9 earthquake, followed by a devastating tsunami and hydrogen explosion at the Fukushima nuclear plant as a consequence of the damage and failure of the cooling system incurred from the tsunami wave. This triple severe impact crippled Japanese people living in the area up to 20 km from the damaged plant who were forcibly evacuated, many of them forsaking their hometowns forever. As the Chernobyl accident demonstrated before, we cannot fully embrace the nuclear power. It would seem natural that Japan, being the only country that experienced destruction caused by the nuclear bombings of Hiroshima and Nagasaki, would be entirely avoiding the use of nuclear power. Up until now, nuclear power was thought to be a clean and safe source of energy while potential consequences of an accident were played down. Too bad, the last earthquake and tsunami pierced the veil of that belief. Despite the fact that one year has passed since the explosion and the nuclear contamination, the crisis continues while the area in the radius of 20 km from the former Fukushima nuclear power plant is a collection of ghost towns. For the politicians, nuclear power is a blessing, because it provides cheap energy for the economy and creates jobs. On the other hand it is just too dangerous and it is inconceivable to sacrifice the livelihoods of hundreds of thousands for the benefits of so few. Although the benefits for the economy are undisputed, I don’t think we need nuclear power anymore. In this essay, I would like to share my vision of a Japan without nuclear power referring to the predictions of Martin Heidegger and the Japanese physicist Jinsaburo Takagi.
    Źródło:
    Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2014, 4(15); 5-10
    1898-8431
    Pojawia się w:
    Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximation and Prediction of the Wind Speed Change Function
    Autorzy:
    Klen, K.
    Zhuikov, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/410602.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    distributed generation
    wind generator
    Heisenberg’s uncertainty principle
    linear approximation
    Walsh functions
    regression analysis
    Opis:
    In the article the features of energy summation from two wind generators, located at a certain distance from each other, are considered. The method of calculating the correlation function between the wind flow speed change functions in the direction of wind distribution is presented. The formulas for describing the fluctuation components of energy at the output of the wind generator are given for two cases: when the phases of the fluctuations of the wind flow on two wind generators are the same and when the fluctuations of the wind flow are in the antiphases. It is shown that to increase the energy level that can be taken from the wind power plant it is necessary to control the phase shift between the energy fluctuations at the output of the wind generators and use the energy of the storages; and to use linear approximations to approximate the wind speed change function. Under the condition of a linear change of the internal resistance of the wind generator in time, it is advisable to introduce the wind speed change function with linear approximations. The system of orthonormal linear functions based on Walsh functions is given. A table with formulas and graphs describing the first 8 functions, which are arranged in order of increasing the number of their sign alternating on the interval of functions definition, is presented. The result of the approximation of the wind speed change function with a system of 8 linear functions based on Walsh functions is shown. Decomposition coefficients, mean-square and average relative approximation errors for such approximation are calculated. In order to find the parameters of multiple linear regression the method of least squares is applied. The regression equation in matrix form is given. An example of application of linear regression prediction method to simple functions is shown. The restoration result for wind speed change function is shown. Decomposition coefficients, mean-square and average relative approximation errors for restoration of wind speed change function with linear regression method are calculated.
    Źródło:
    Present Problems of Power System Control; 2018, 9; 35-46
    2084-2201
    Pojawia się w:
    Present Problems of Power System Control
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some remarks on Bochner-Riesz means
    Autorzy:
    Thangavelu, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/965807.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    unitary representations
    Schrödinger operators
    Bochner-Riesz means
    nilpotent groups
    Rockland operators
    Heisenberg group
    summability
    Opis:
    We study $L^p$ norm convergence of Bochner-Riesz means $S_R^δ f$ associated with certain non-negative differential operators. When the kernel $S_R^m(x,y)$ satisfies a weak estimate for large values of m we prove $L^p$ norm convergence of $S_R^δ f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.
    Źródło:
    Colloquium Mathematicum; 2000, 83, 2; 217-230
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Aria Heisenberga (I). O negatywnych skutkach akcentowania zasady nieoznaczoności w wykładzie teorii atomu
    Autorzy:
    Szymański, Adam
    Powiązania:
    https://bibliotekanauki.pl/articles/429171.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Papieski Jana Pawła II w Krakowie
    Tematy:
    Keywords Werner Heisenberg
    uncertainty principle
    quantum mechanics
    popularization of science
    context of discovery
    history of science
    Opis:
    According to the author, a perfect example of the theory, which is considered to be removed from the historical context, is the uncertainty principle. For various reasons, this principle became the most famous element of atomic theory, and it usually serves as kick-off for popular lectures in quantum mechanics. This order of presentation can, however, distort an accurate picture of the uncertainty principle and quantum mechanics in general. In this article we try to identify specifically the misunderstandings initiating a course of quantum mechanics contrary to the chronology from the uncertainty principle can lead.
    Źródło:
    Semina Scientiarum; 2014, 13
    1644-3365
    Pojawia się w:
    Semina Scientiarum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ekranizacje powieści Agathy Christie „Morderstwo w Orient Expressie”– obserwujesz i jesteś obserwowany
    Screen adaptations of Agatha Christie’s novel Murder in Orient Express – you observe and you are being observed
    Autorzy:
    Bartoszewicz, Iwona
    Powiązania:
    https://bibliotekanauki.pl/articles/1191945.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Wrocławski. Oficyna Wydawnicza ATUT – Wrocławskie Wydawnictwo Oświatowe
    Tematy:
    Agatha Christie
    Murder in Orient Express
    screen adaptation
    Heisenberg’s uncertainty principle
    adaptation
    observer
    interpretation
    Opis:
    Agatha Christie (1890–1976), less known as lady Mallowan, an outstanding author, mainly of detective novels, published “Murder in Orient Express” in 1933/34. From the very beginning, the book was considered a masterpiece of this genre. The reason for that is not only brilliantly constructed plot with astonishing culminating point, but also the fact that the author of the book referred to an authentic event which evoked great emotions. The event that inspired this novel was kidnapping and murder of the little son of a known and admired American pioneer of intercontinental flights, Charles August Lindbergh, that happened in 1932. The novel was translated into almost all languages. There were also numerous stage adaptations. At least four films were based on this novel which indicates the cultural significance of the work. The subject of the considerations in the present paper is an attempt to search for the answer about the role of the so-called observer in the process of reconstruction, retransmission and assimilation of thematic threads, which can become the reference point not only for the author of the literary work. They may become an element of collective memory and, in this way, the element of culture constituting narration. However, as an object of general knowledge, they are at the same time subjected to common interpretation. The Heisenberg’s uncertainty principle, referred to in its basic range in quantum mechanics, indicates the significant role of the subject observing in this process. Heisenberg proved that the presence of an observer is not neutral from the point of view of the quality of the results. Referring to these considerations on the text as a cultural object, let us analyse the ways in which the theme was modified and the significance of these changes. We consider Agatha Christie’s novel and especially its screen adaptations an interesting object of research. The observer, as it turns out, is beside the researcher also the author of the literary text, screenwriter, translator…
    Źródło:
    Studia Translatorica; 2019, 10; 113-133
    2084-3321
    2657-4802
    Pojawia się w:
    Studia Translatorica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Kwantowe karty do głosowania jako alternatywa dla klasycznych, asymetrycznych algorytmów uzgadniania kryptograficznego klucza szyfrującego
    Quantum voting cards as an alternative for classic algorithms of public key distribution
    Autorzy:
    Sobota, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/327118.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
    Tematy:
    głosowanie elektroniczne
    metoda kwantowa
    kryptografia kwantowa
    zasada nieoznaczoności Heisenberga
    electronic voting
    quantum method
    quantum cryptography
    Heisenberg uncertainty principle
    Opis:
    Artykuł przedstawia model głosowania elektronicznego wykorzystującego kwantowe karty do głosowania opierające się na protokołach kwantowego uzgadniania klucza. Silną stroną modelu jest wykorzystanie zabezpieczeń opartych na prawach fizyki w miejsce bezpieczeństwa obliczeniowego.
    The article presents the model using quantum e-voting cards based on protocols of quantum key distribution. The strength of the model is using security based on the laws of physics in a place of computing security.
    Źródło:
    Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska; 2013, 64; 217-223
    1641-3466
    Pojawia się w:
    Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Teorie kwantowe jako podstawa nowoczesnej kryptografii
    Quantum theories as modern cryptography basis
    Autorzy:
    Sobota, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/326360.pdf
    Data publikacji:
    2012
    Wydawca:
    Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
    Tematy:
    kryptografia kwantowa
    mechanika kwantowa
    zasada nieoznaczoności Heisenberga
    splątanie kwantowe
    quantum cryptography
    quantum mechanics
    Heisenberg uncertainty principle
    quantum entanglement
    Opis:
    Artykuł przedstawia kilka fundamentalnych praw oraz twierdzeń mechaniki kwantowej stanowiących podstawę kryptografii kwantowej.
    This paper presents some fundamental rights and theorems of quantum mechanics stands base of quantum cryptography.
    Źródło:
    Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska; 2012, 61; 277-283
    1641-3466
    Pojawia się w:
    Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Prediction of primary energy flow considering its stochastic nature
    Symulacja pierwotnego przepływu energii z uwzględnieniem jego stochastycznej natury
    Autorzy:
    Klen, Kateryna
    Martynyuk, Vadym
    Yaremenko, Mykhailo
    Powiązania:
    https://bibliotekanauki.pl/articles/2056433.pdf
    Data publikacji:
    2021
    Wydawca:
    Sieć Badawcza Łukasiewicz - Instytut Napędów i Maszyn Elektrycznych Komel
    Tematy:
    distributed generation
    wind generators
    Heisenberg’s uncertainty principle
    prediction
    Newton
    interpolation polynomials
    generacja rozproszona
    generator wiatrowy
    zasada nieoznaczoności Heisenberga
    prognozy
    wielomiany interpolacyjne Newtona
    Opis:
    In the article the prediction of wind speed values by Newton interpolation polynomials is made. It is mentioned that effective operation of the wind power station is realized by predictive control on the basic interval according to the predictor–corrector method. Equations for Newton interpolation polynomials are given. The fluctuations of the wind speed deviations occur random so can be described with Wiener process. An ex ample of wind speed deviations, described with Wiener process, is shown. Equation to estimate the prediction error is given. The results of wind speed values prediction taking into ac-count the Wiener process that simulates its fluctuations are shown. The wind speed prediction for 1 hour in advance without taking into account the Wiener process is shown depending on the degree of the interpolation polynomial. The prediction errors at different degrees of the interpolation polynomials and the prediction for different number of hours in advance are given. It is noted that with the removal of a random component in the form of Wiener process, the average error of the prediction decreases.
    W artykule dokonano symulacji wartości prędkości wiatru na podstawie wielomianów interpolacyjnych Newtona. Wspomniano, że efektywna praca elektrowni wiatrowej realizowana jest poprzez kontrolę predykcyjną w podstawowym przedziale zgodnie z metodą predykcyjno-korektorową. Podano równania dla wielomianów interpolacyjnych Newtona. Fluktuacje odchyleń prędkości wiatru występują losowo, dlatego można je opisać w procesie Wienera. Pokazano przykład odchyleń prędkości wiatru, opisany w procesie Wienera. Podano równanie do oszacowania błędu prognozowania. Pokazano wyniki symulacji prędkości wiatru z uwzględnieniem procesu Wienera, który symuluje jego fluktuacje. Prognozę prędkości wiatru z 1-godzinnym wyprzedzeniem bez uwzględnienia procesu Wienera pokazano w zależności od stopnia wielomianu interpolacji. Podano błędy prognozowania dla różnych stopni wielomianów interpolacyjnych i przewidywania dla różnej liczby godzin wcześniej. Należy zauważyć, że wraz z usunięciem elementu losowego w postaci procesu Wienera zmniejsza się średni błąd prognozy.
    Źródło:
    Maszyny Elektryczne: zeszyty problemowe; 2021, 1, 125; 107--110
    0239-3646
    2084-5618
    Pojawia się w:
    Maszyny Elektryczne: zeszyty problemowe
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Fundamental Holographic Uncertainty Principle and its Primary Applications
    Autorzy:
    Kabe, Koustubh
    Powiązania:
    https://bibliotekanauki.pl/articles/1191787.pdf
    Data publikacji:
    2016
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    holographic principle
    holographic uncertainty principle
    Heisenberg uncertainty principle
    Landauer’s Principle
    blackhole entropy
    loop quantum gravity
    area operator
    quantum geometry
    general relativity
    corrected blackhole horizon
    Opis:
    The fundamental holographic principle is first proposed, then demonstrated in its validity and viability through a thought experiment and then finally derived. The Heisenberg uncertainty relations are shown to follow from this fundamental relation. The quantum blackhole entropy is then demonstrated using this holographic uncertainty relation along with the application of the Landauer’s principle for the thermodynamic erasure of a bit yielding a formula with a logarithmic correction. The blackhole entropy is found to be half the value normally delivered by any other method. So, it is proposed that there is a real relevant physical horizon at the twice the Schwarzschild radius dubbed the holographic information geometric horizon.
    Źródło:
    World Scientific News; 2016, 50; 33-48
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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