1,721,002 research outputs found

    Elementy analizy zespolonej z przykładami

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    Publikacja elektroniczna.Projekt okładki: Agata Niewiadomsk

    Matematyka dla studentów Politechnik. Teoria, przykłady, zadania z wykorzystaniem pakietów matematycznych

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    Rysunki z wykorzystaniem pakietów TikZ i PGF – Witold WalasSkład komputerowy tekstu przy użyciu systemu LATEX – Aneta StasiakProjekt okładki – Aneta StasiakWydanie III - uzupełnione i poprawioneSkrypt ten to jasny i konsekwentny wykład matematyki przeznaczony dla studentów wydziałów wszystkich typów uczelni technicznych w Polsce. Dobrze wpisuje się w dominujące obecnie tendencje do uzupełniania wykładanego materiału teoretycznego i ćwiczeń rachunkowych zadaniami do wykonania za pomocą pakietów do obliczeń symbolicznych. Zdecydowano się na wybór programu Maxima, którego zaletą jest fakt, że pakiet ten jest udostępniany bezpłatnie, a w podstawowych zastosowaniach inżynierskich jego możliwości nie odbiegają od pakietów komercyjnych. Nie odchodząc od matematycznej precyzji, materiał jest wyłożony w sposób elementarny i przejrzysty. Ze skryptu mogą więc korzystać gorzej matematycznie przygotowani studenci. Pojęcia ilustrowane są przykładami, wprowadzone metody – zadaniami do rozwiązania. Wiele zadań jest dodatkowo rozwiązanych w programie Maxima. Dołożono starań, by stosowanie tego pakietu pojawiało się konsekwentnie przez prawie cały tekst. Zatem student, prócz rozumienia pojęć, uzyskuje również narzędzie służące do rozwiązywania konkretnych problemów

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    On the Dirichlet problem for a Duffing type equation

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    We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions

    Asymptotic Properties of Solutions of the Second-Order Discrete Emden-Fowler Equation

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    V literatuře je často studována Emden--Fowlerova nelineární diferenciální rovnice druhého řádu y±xαym=0, y'' \pm x^\alpha y^m = 0, kde α\alpha a mm jsou konstanty. V disertační práci je analyzována diskrétní analogie Emden-Fowlerovy diferenciální rovnice Δ2u(k)±kαum(k)=0, \Delta^2 u(k) \pm k^\alpha u^m(k) = 0, kde kN(k0):={k0,k0+1,....}k\in \mathbb{N}(k_0):= \{k_0, k_0+1, ....\} je nezávislá proměnná, k0k_0 je celé číslo a u ⁣:N(k0)Ru \colon \mathbb{N}(k_0) \to \mathbb{R} je řešení. V této rovnici je Δ2u(k)=Δ(Δu(k))\Delta^2u(k)=\Delta(\Delta u(k)), kde Δu(k)\Delta u(k) je diference vpřed prvního řádu funkce u(k)u(k), tj. Δu(k)=u(k+1)u(k)\Delta u(k) = u(k+1)-u(k) a Δ2(k)\Delta^2 (k) je její diference vpřed druhého řádu, tj. Δ2u(k)=u(k+2)2u(k+1)+u(k)\Delta^2u(k) = u(k+2)-2u(k+1)+u(k), a α\alpha, mm jsou reálná čísla. Je diskutováno asymptotické chování řešení této rovnice a jsou stanoveny podmínky, garantující existence řešení s asymptotikou mocninného typu: u(k)1/ksu(k) \sim {1}/{k^s}, kde ss je vhodná konstanta. Je také zkoumána diskrétní analogie tzv. ``blow-up'' řešení (neohraničených řešení) známých v klasické teorii diferenciálních rovnic, tj. řešení pro která v některém bodě xx^* platí limxxy(x)=\lim_{x \to x^*} y(x)= \infty, kde y(x)y(x) je řešení Emden-Fowlerovy diferenciální rovnice y(x)=ys(x), y''(x) = y^s(x), kde s1s \ne 1 je reálné číslo. Výsledky jsou ilustrovány příklady a porovnávány s výsledky doposud známými

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    On variational nonlinear equations with monotone operators

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    Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations. We investigate when functional whose minimum is obtained by a direct method of the calculus of variations satisfies the Palais-Smale condition, relate minimizing sequence and Galerkin approximaitons when both exist, then provide structure conditions on the derivative of the action functional under which bounded Palais-Smale sequences are convergent. Finally, we make some comment concerning the convergence of Palais-Smale sequence obtained in the mountain pass theorem due to Rabier
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