287 research outputs found

    Normal operators in finite-dimensional hilbert spaces

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    1948 and 1968 Czech refugee settlers in Australia : a comparison of the settlement and integration processes among two waves of settlers

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    Nearly eighteen years ago when I first became interested in the history and sociology of Australian immigration, I was particularly attracted by the fact and opportunity to incorporate immigration settlement, experience and accomplishments in my history teaching in secondary school. In particular it was the area of the settlement of Australia that needed a fuller understanding in the teaching of Australian history. By that I mean it was needed to show that there were many other ethnic groups besides the Anglo-Saxon group which had participated in the development of Australia since 1788. Since the end of World War II, the Australian population has doubled, the population structure and characteristics have changed and knowledge about the diverse groups forming the Australian nation is now sought. Sane ethnic groups, mainly the numerically large, have been studied and numerous reports are available. But many of the smaller groups have attracted little interest among Australian scholars. This was one of the reasons that I decided to research the behaviour of one of the smaller groups - the Czechs - to find out about their immigration history to Australia; their immigration processes such as re-settlement and re-establishment; and their community life since World War II. Because of the scarcity of written materials on Czechs in Australia, I had to rely on interviews, personal reminiscenses, letters and documents translated from the Czech language. I should like to express my gratitude to all people and officials of Czech ethnic organisations and clubs in Australia, who agreed to be interviewed and who provided me with documentary material so important for my work. Respecting the wishes of my interviewees their anonymity had to be preserved. In the course of my research, I have received substantial help and the encouragement from the Editor of the now extinct Czech language paper Newspaper Hlas domova, Mr. F.V., whose co-operation is gratefully recognised. I am also grateful to Associate Professor William D. Rubinstein for his help and encouragement in all stages of my work. The introductory part of the study is covered in Chapter One. She reasons for the need to increase Australia\u27s population after World War II and an analysis of the development of settlement in Australia between 1947 and 1984 are discussed. The emigration of Czechs into Australia and their place in the post-war immigration scheme is introduced. To obtain an overview of how Czechs have emigrated around the world, the literature describing their settlement is compared. Also discussed in the literature on Czech settlement in Australia from an historical point of view. The studies on the concept of ethnicity and settlement in Australia are used to document the theoretical issues for an understanding of Australian society. This chapter also contains aspects of sources and research, shewing the processes of documentary research, interviews and related matters. In Chapter Two the history of Czech emigration is discussed, covering the period from the seventeenth to the twentieth century. The first contacts with Australia are highlighted, continuing into the inter-war period and finally the re-settlement of Czechs after World War II. To understand why Czechs left their ancestral country after World War II, the political situation in Czechoslovakia is analysed. The third chapter concentrates mainly in the 1948 wave of settlers, who left Czechoslovakia after the communist take-over in 1948. Their means of departure from their homeland, selection of Australia as a new homeland and their re-settlement and re-establishment are discussed. Their attitudes after their arrival and their later stages of their settlement are analysed. The formation of numerous Czech ethnic organisations which mushroomed between 1950 and 1954 led to an active community life which began to change about five years after their arrival. These charges led to disorganisation of Czech community\u27s life. The causes of these changes which were influential for the failure of the 1948 group to establish a viable community in Australia are analysed. In Chapter Four the wave of 1968 is viewed, their arrival and settling is covered. The study of their group attitudes and formation of group institutions is the main part of this section. A comparison of my data of the two waves, 1948 and 1968, reveals the information that these two groups did not develop the harmonious relationship expected of them as members of the one ethnic group. Chapter Five discusses immigration typologies and concentrates on the differences between legal and illegal emigrants from the Czechoslovak point of view. The integration processes of Czechs and their incorporation into Australian society are discussed. The sixth chapter sums up the findings of this disertation and states the influences which were responsible for the divisions in Czech ethnic life in Australia in the 1980s

    Some determinants of path generating functions

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    We evaluate four families of determinants of matrices, where the entries are sums or differences of generating functions for paths consisting of up-steps, down-steps and level steps. By specialisation, these determinant evaluations have numerous corollaries. In particular, they cover numerous determinant evaluations of combinatorial numbers - most notably of Catalan, ballot, and of Motzkin numbers - that appeared previously in the literature.Comment: 35 pages, AmS-TeX; minor corrections; final version to appear in Adv. Appl. Mat

    On Fourier integral transforms for qq-Fibonacci and qq-Lucas polynomials

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    We study in detail two families of qq-Fibonacci polynomials and qq-Lucas polynomials, which are defined by non-conventional three-term recurrences. They were recently introduced by Cigler and have been then employed by Cigler and Zeng to construct novel qq-extensions of classical Hermite polynomials. We show that both of these qq-polynomial families exhibit simple transformation properties with respect to the classical Fourier integral transform

    The Reversed q-Exponential Functional Relation

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    After obtaining some useful identities, we prove an additional functional relation for qq exponentials with reversed order of multiplication, as well as the well known direct one in a completely rigorous manner.Comment: 6 pages, LaTeX, no figure

    q-Analogue of Shock Soliton Solution

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    By using Jackson's q-exponential function we introduce the generating function, the recursive formulas and the second order q-differential equation for the q-Hermite polynomials. This allows us to solve the q-heat equation in terms of q-Kampe de Feriet polynomials with arbitrary N moving zeroes, and to find operator solution for the Initial Value Problem for the q-heat equation. By the q-analog of the Cole-Hopf transformation we construct the q-Burgers type nonlinear heat equation with quadratic dispersion and the cubic nonlinearity. In q -> 1 limit it reduces to the standard Burgers equation. Exact solutions for the q-Burgers equation in the form of moving poles, singular and regular q-shock soliton solutions are found.Comment: 13 pages, 5 figure

    Einige fragen der theorie der gleichverteiligung

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    Carborane–β-cyclodextrin complexes as a supramolecular connector for bioactive surfaces

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    Supramolecular chemistry provides an attractive entry to generate dynamic and well-controlled bioactive surfaces. Novel host–guest systems are urgently needed to provide a broader affinity and applicability portfolio. A synthetic strategy to carborane–peptide bioconjugates was therefore developed to provide an entry to monovalent supramolecular functionalization of β-cyclodextrin coated surfaces. The β-cyclodextrin·carborane–cRGD surfaces are formed efficiently and with high affinity as demonstrated by IR-RAS, WCA, and QCM-D, compare favourable to existing bio-active host–guest surface assemblies, and display an efficient bioactivity, as illustrated by a strong functional effect of the supramolecular system on the cell adhesion and spreading properties. Cells seeded on the supramolecular surface displaying bioactive peptide epitopes exhibited a more elongated morphology, focal adhesions, and stronger cell adhesion compared to control surfaces. This highlights the macroscopic functionality of the novel supramolecular immobilization strategy

    h analogue of Newton's binomial formula

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    In this letter, the hh--analogue of Newton's binomial formula is obtained in the hh--deformed quantum plane which does not have any qq--analogue. For h=0h=0, this is just the usual one as it should be. Furthermore, the binomial coefficients reduce to n!(n−k)!\frac{n!}{(n-k)!} for h=1h=1. \\ Some properties of the hh--binomial coefficients are also given. \\ Finally, I hope that such results will contribute to an introduction of the hh--analogue of the well--known functions, hh--special functions and hh--deformed analysis.Comment: 6 pages, latex Jounal-ref: J. Phys. A: Math. Gen. 31 (1998) L75
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