7,709 research outputs found

    Continued Fractions: An Arithmetic and Analytic Study

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    Contemporary research in continued fractions has motivated novel results in spectral analysis— specifically in the characterization of doubly palindromic discrete m- functions. In this thesis, we first discuss historical results in the field of continued fractions by the likes of Euler, Lagrange, and Galois. Next, we discuss an illuminating theorem by Serret before introducing the work of Dr. Edward Burger who classified lattice equivalences via continued fractions. This result is the exact motivation for the analog we provide in spectral m-functions later. The following chapter is a thorough discussion of spectral theory & analysis, which will lay out the background necessary to understand the novel results presented. Topics such as Herglotz functions, discrete m-functions, and J-fractions will be included, along with prior results by Derevyagin et al. and Barry Simon. In the final chapter, we define the tools necessary to state completely novel results: a discrete m-function is congruent to its functional conjugate if and only if its J-fraction expansion has a tail of doubly palindromic Jacobi parameters. This represents the preprint by Handley and Simanek

    Continued Fractions : An Arithmetic and Analytic Study.

    No full text
    Contemporary research in continued fractions has motivated novel results in spectral analysis— specifically in the characterization of doubly palindromic discrete m- functions. In this thesis, we first discuss historical results in the field of continued fractions by the likes of Euler, Lagrange, and Galois. Next, we discuss an illuminating theorem by Serret before introducing the work of Dr. Edward Burger who classified lattice equivalences via continued fractions. This result is the exact motivation for the analog we provide in spectral m-functions later. The following chapter is a thorough discussion of spectral theory & analysis, which will lay out the background necessary to understand the novel results presented. Topics such as Herglotz functions, discrete m-functions, and J-fractions will be included, along with prior results by Derevyagin et al. and Barry Simon. In the final chapter, we define the tools necessary to state completely novel results: a discrete m-function is congruent to its functional conjugate if and only if its J-fraction expansion has a tail of doubly palindromic Jacobi parameters. This represents the preprint by Handley and Simanek

    Author Interview with Brian D. Anderson

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    Brian D. Anderson was our feature artist of the week, October 19th - 23rd, 2020.https://jagworks.southalabama.edu/vid_presentations/1010/thumbnail.jp

    Competition policy. by Brian Ellis

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    tag=1 data=Competition policy. by Brian Ellis tag=2 data=Ellis, Brian tag=3 data=Australian Rationalist, tag=5 data=46 tag=6 data=Autumn/Winter 1998 tag=7 data=51-56. tag=8 data=ECONOMIC CONDITIONS tag=9 data=COMPETITION%CORPORATISATION%NATIONAL COMPETITION POLICY%PRIVATE SECTOR PUBLIC SECTOR EFFECTIVENESS%SERVICE DELIVERY%SOCIAL POLICY%INNOVATION tag=10 data=Examines the Government's National Competition Policy in relation to encouraging R&D, and the corporisation of public services and utilites. The author is Emeritus Professor of Philosophy at La Trobe UNiversity and Vice-President of the Rationalist Society of Australia. Article Taken from What's New. tag=13 data=CABExamines the Government's National Competition Policy in relation to encouraging R&D, and the corporisation of public services and utilites. The author is Emeritus Professor of Philosophy at La Trobe UNiversity and Vice-President of the Rationalist Society of Australia. Article Taken from What's New

    Art Behind Gaming: Brian D. Anderson

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    A discussion with author Brian D. Anderson about worldbuilding in fantasy. Part of the Art Behind Gaming Online Con.https://jagworks.southalabama.edu/vid_presentations/1046/thumbnail.jp

    In Honour of Brian MacWhinney: A Personal Account

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    While this volume and the writings have made it amply clear what significant contributions Professor Brian MacWhinney has made to the field at large, in this afterword, we begin with a senior member of our author team (Ping Li, PL) followed by a mid-career member (Helen Zhao, HZ) and an early career member (Zhe Gao, ZG), to provide our personal accounts of Brian not only as a leading scholar but also as a role model who touches and changes people’s lives

    Interview with Brian Alleyne, Sociologist Studying KDE

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    A few months ago, the British journal Sociology published an article titled "Challenging Code: A Sociological Reading of the KDE Free Software Project". Eager to find out what a 'sociological reading' of KDE entails, Dot editor Oriol Mirosa rushed to contact the article's author, sociologist Brian Alleyne, who graciously and patiently agreed to be the subject of an interview

    Understanding Author Rights

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    Author Rights is the term used to describe a researcher\u27s rights related to their published work. In this session, Brian Young will: 1) provide an overview of author rights, 2) explain language often used in the publication agreement, and 3) demonstrate a tool (Sherpa Romeo) that can be used to quickly understand what default rights you have (and lose) when you publish with a specific journal

    Shady trading on the rights market. by Brian Pollard

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    tag=1 data=Shady trading on the rights market. by Brian Pollard tag=2 data=Pollard, Brian tag=3 data=New Doctor, tag=6 data=Winter 1995 tag=7 data=11-12. tag=8 data=EUTHANASIA tag=10 data=Because the spotlight of public attention has been strongly focused on doctors in this debate, the author believes that it is essential that every doctor makes a clear distinction between his or her private views on the practice of euthanasia and its legislation, because the implications in each case are simply not comparable. tag=11 data=1995/1/5 tag=12 data=95/0224 tag=13 data=CABBecause the spotlight of public attention has been strongly focused on doctors in this debate, the author believes that it is essential that every doctor makes a clear distinction between his or her private views on the practice of euthanasia and its legislation, because the implications in each case are simply not comparable

    Letter from Brian Tatsuo to the friends of Michi Weglyn and the NCRR members present at the Tribute to Michi meetings

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    A letter from Brian Tatsuo to the friends of Michi Weglyn and the NCRR members present at the Tribute to Michi meetings, in which offers a lengthy critique of the leadership of the National Coalition for Redress/Reparations (NCRR), with the exception of Frank Emi. In the letter he also refers to Weglyn as "the mother of the redress movement" and mentions that Frank Chin offered to organize a publicity plan for the event, but his help was refused.These materials are from box 73 and 74 of the Frank Chin Papers. The Frank Chin Papers contain personal and professional correspondence between Frank Chin and Michi Weglyn relating to particular projects on which either author was working as well as files related to the Day of Remembrance Tribute to Michi Weglyn
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