14,595 research outputs found

    Tabula Rasa and Human Nature

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    It is widely believed that the philosophical concept of 'tabula rasa' originates with Locke's Essay Concerning Human Understanding and refers to a state in which a child is as formless as a blank slate. Given that both these beliefs are entirely false, this article will examine why they have endured from the eighteenth century to the present. Attending to the history of philosophy, psychology, psychiatry and feminist scholarship it will be shown how the image of the tabula rasa has been used to signify an originary state of formlessness, against which discourses on the true nature of the human being can differentiate their position. The tabula rasa has operated less as a substantive position than as a whipping post. However, it will be noted that innovations in psychological theory over the past decade have begun to undermine such narratives by rendering unintelligible the idea of an 'originary' state of human nature

    The influence of Single Area Payments and Less Favoured Area Payments on the Latvian landscape.

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    The influence of Single Area Payments and Less Favoured Area Payments on the Latvian landscape.Nikodemus, O., Bell, S., Peneze, Z. and Rasa, I.2010PRJEuropean Countryside1• 2010 • p. 25-41DOI: 10.2478/v10091-010-0003-

    Overiterated Linear Operator and Asymptotic Behaviour of Semigroups

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    The results provided hereby are related to the asymptotic behaviour of certain strongly continuous semigroups, which may be expressed in terms of iterates of positive linear operators, in the sense of Altomare’s theory. We present some applications to concrete cases involving continuous and discrete type operators, namely the Beta and the Stancu operators. Mathematics Subject Classification (2000). Primary 41A35; Secondary 47D06. Keywords. Bounded linear operators, strongly continuous semigroups, asymptotic behaviour, iterates, overiterates

    Extrapolation Properties of Multivariate Bernstein Polynomials

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    We consider some connections between the classical sequence of Bernstein polynomials and the Taylor expansion at the point 0 of a C^∞ function f defined on a convex open subset Ω⊂R^d containing the d-dimensional simplex S^d of R^d. Under general assumptions, we obtain that the sequence of Bernstein polynomials converges to the Taylor expansion and hence to the function f together with derivatives of every order not only on S^d but also on the whole Ω. This result yields extrapolation properties of the classical Bernstein operators and their derivatives. An extension of the Voronovskaja’s formula is also stated

    Lipschitz contractions, unique ergodicity and asymptotics of Markov semigroups

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    We are mainly concerned with the asymptotic behaviour of both discrete and continuous semigroups of Markov operators acting on the space C(X) of all continuous functions on a compact metric space X. We establish a simple criterion under which such semigroups admit a unique invariant probability measure μ\mu on X that determines their limit behaviour on C(X) and on L^p(X,\mu). The criterion involves the behaviour of the semigroups on Lipschitz continuous functions and on the relevant Lipschitz seminorms. Finally, we discuss some applications concerning the Kantorovich operators on the hypercube and the Bernstein-Durrmeyer operator with Jacobi weights on [0,1]. As a consequence we determine the limit of the iterates of these operators as well as of their corresponding Markov semigroups whose generators fall in the class of Fleming-Viot differential operators arising in population genetics

    Qualitative properties of a class of Fleming-Viot type operators

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    We indicate some qualitative properties of Fleming-Viot second order differential operators on the d-dimensional simplex, such as an inductive characterization of its domain and some spectral properties connected with the asymptotic behavior of the generated semigroup. These properties turn out to be very useful in the approximation of the solution of the evolution problem associated with Fleming-Viot operators, which are very important as diffusion models in population genetics

    Alunan Rasa

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    Pada awalnya mungkin kita akan bertanya apakah musik benar-benar dapat mempengaruhi alunan rasa dalam suasana hati, walaupun sudah banyak penelitian secara sistematis dilakukan terhadap hubungan antara berbagai jenis musik dan reaksi emosi. Menurut Lewis, Dember, Schefft dan Radenhausen menemukan bahwa pengaruh musik dalam beberapa hasil pengamatan dan pengukuran alunan rasa dalam suasana hati. Sebelumnya dipilih suasana positif dan negatif (http://desrest.blogspot.com/2009/07/musik-dan-suasana-hati.html). Musik sangat mempengaruhi suasana hati, karena musik seperti halnya manusia, musik juga mempunyai banyak karakter, diantaranya halus, keras, romantis, dan lain sebagainya

    Shape-preserving properties and asymptotic behaviour of the semigroup related to Black-Scholes equation

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    The paper is devoted to a careful analysis of the shape-preserving properties of the strongly continuous semigroup generated by a particular second-order differential operator, with particular emphasis on the preservation of higher order convexity and Lipschitz classes. In addition, the asymptotic behaviour of the semigroup is investigated as well. The operator considered is of interest, since it is a unidimensional Black-Scholes operator so that our results provide qualitative information on the solutions of classical problems in option pricing theory in Mathematical Finance. Keywords: strongly continuous semigroups, differential operators, positive linear operators, Black-Scholes operator MSC 2000: 47D06, 47E05, 41A35, 41A3
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