On a moment problem associated with Chebyshev polynomials

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fractional Integration of the Product of Bessel Functions of the First Kind

Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09

Solution de C. Hyltén-Cavallius pour un problème de P. Turán concernant des polynômes

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Convolutions and zeros of orthogonal polynomials

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

The von Mises-Fisher distribution of the first exit point from the hypersphere of the drifted Brownian motion and the density of the first exit time

A characterization is provided for the von Mises–Fisher random variable, in terms of first exit point from the unit hypersphere of the drifted Wiener process. Laplace transform formulae for the first exit time from the unit hypersphere of the drifted Wiener process are provided. Post representations in terms of Bell polynomials are provided for the densities of the first exit times from the circle and from the sphere.

Conference Report of the First Meeting of the Native American and Indigenous Studies Association, 21-23 May 2009, Department of American Indian Studies, University of Minneapolis, Minesota, United States of America

Report provided back by Bronwyn Fredericks on her participation at the First Native American and Indigenous Studies Association Meeting held 21-23 May 2009 in Minnesota, United States of America.

Crystallographic characterization of the first reported crystalline form of the potent hallucinogen (R)-2-amino-1-(8-bromobenzo[1,2-b;5,4-b']difuran-4-yl)propane or `bromodragonfly': the 1:1 anhydrous proton-transfer compound with 3,5-dinitrosalicylic acid

The 1:1 proton-transfer compound of the potent substituted amphetamine hallucinogen (R)-1-(8-bromobenzo[1,2-b; 4,5-b']difuran-4-yl)-2-aminopropane (common trivial name 'bromodragonfly') with 3,5-dinitrosalicylic acid, 1-(8-bromobenzo[1,2-b;4,5-b']difuran-4-yl)-2-mmoniopropane 2-carboxy-4,6-dinitrophenolate, C13H13BrNO2+ C7H3N2O7- forms hydrogen-bonded cation-anion chain substructures comprising undulating head-to-tail anion chains formed through C(8) carboxyl O-H...O(nitro) associations and incorporating the aminium groups of the cations. The intra-chain cation-anion hydrogen-bonding associations feature proximal cyclic R33(8) interactions involving both a N+-H...O(phenolate) and the carboxyl O--H...O(nitro)associations. Also present are aromatic pi-pi ring interactions [minimum ring centroid separation, 3.566(2)A; inter-plane dihedral angle, 5.13(1)deg]. A lateral hydrogen-bonding interaction between the third aminium proton and a carboxyl O acceptor link the chain substructures giving a two-dimensional sheet structure. This determination represents the first of any form of this compound and confirms that it has the (R) absolute configuration. The atypical crystal stability is attributed both to the hydrogen-bonded chain substructures provided by the anions, which accommodate the aminium proton-donor groups of the cations and give cross-linking, and to the presence of cation--anion aromatic ring pi-pi interactions.

The relationship between Australians and the overseas graves of the First World War

The purpose of this thesis is to outline the relationship that existed in the past and exists in the present, between Australians and the War Graves and Memorials to the Missing. commemorations of Australians who died during the First World War. Their final resting places are scattered all over the world and provide a tangible record of the sacrifice of men and women in the war, and represent the final result by Official Agencies such as the Imperial, and later, Commonwealth War Graves Commission, and its agency representative, the Office of Australian War Graves, of an attempt to appropriately commemorate them. The study follows the path of history from the event of death of an individual in the First World War, through their burial; temporary grave or memorial commemoration; the permanent commemoration; the family and public reaction to the deaths; how the Official Agencies of related Commonwealth Governments dealt with the dead; and finally, how the Australian dead are represented on the battlefields of the world in the 21st century. Australia.s war dead of the First World War are scattered around the globe in more than 40 countries and are represented in war cemeteries and civil cemeteries; and listed on large „Memorials to the Missing., which commemorate the individuals devoid of a known graves or final resting place.

Experiences of the FIRST LEGO League in China and Australia

FIRST (For Inspiration and Recognition of Science and Technology) was initiated in the U.S. by accomplished inventor Dean Kamen in 1989. FIRST LEGO League (FLL) is one of the five competitions conducted by this organization. Dean’s vision was “to create a world where science and technology are celebrated……where young people dream of becoming science and technology heroes”. Each year FLL creates opportunities for young people aged 9-16 to engage in problem solving, teamwork and collaborative learning around a real-world theme. In the 2009/2010 season, more than 145,000 young people in over 50 countries participated in this competition. As they tackle the challenges; they construct and de-construct their own knowledge through hands-on engagement in a constructivist learning environment. The challenges are presented at least eight weeks before the competition. In most events the participants are judged in four categories - robot game, robot design, team project and team challenge. “Gracious professionalism” is an essential element of the competition. This paper compares and contrasts the FLL in China and Australia and presents some of the achievements of the event. It also highlights some of the models which have been adopted in the two countries to facilitate participation. The educational benefits of embedding the FLL will also be discussed.

Measurement of the first neutron diffraction peak of D2O flowing in a 2 mm diameter aluminium tube as a function of temperature

A pilot experiment was performed using the WOMBAT powder diffraction instrument at ANSTO in which the first neutron diffraction peak (Q0) was measured for D2O flowing in a 2 mm internal diameter aluminium tube. Measurements of Q0 were made at -9, 4.3, 6.9, 12, 18.2 and 21.5 °C. The D2O was circulated using a siphon with water in the lower reservoir returned to the upper reservoir using a small pump. This enabled stable flow to be maintained for several hours. For example, if the pump flow increased slightly, the upper reservoir level rose, increasing the siphon flow until it matched the return flow. A neutron wavelength of 2.4 Å was used and data integrated over 60 minutes for each temperature. A jet of nitrogen from a liquid N2 Dewar was directed over the aluminium tube to vary water temperature. After collection of the data, the d spacing of the aluminium peaks was used to calculate the temperature of the aluminium within the neutron beam and therefore was considered to be an accurate measure of water temperature within the beam. Sigmaplot version 12.3 was used to fit a Weibull five parameter peak fit to the first neutron diffraction peak. The values of Q0 obtained in this experiment showed an increase with temperature consistent with data in the literature [1] but were consistently higher than published values for bulk D20. For example at 21.5 °C we obtained a value of 2.008 Å-1 for Q0 compared to a literature value of 1.988 Å-1 for bulk D2O at 20 °C, a difference of 1%. Further experiments are required to see if this difference is real or artifactual.

Permutation polynomials of the form (xp −x +δ)s +L(x)

Recently, several classes of permutation polynomials of the form (x2 + x + δ)s + x over F2m have been discovered. They are related to Kloosterman sums. In this paper, the permutation behavior of polynomials of the form (xp − x + δ)s + L(x) over Fpm is investigated, where L(x) is a linearized polynomial with coefficients in Fp. Six classes of permutation polynomials on F2m are derived. Three classes of permutation polynomials over F3m are also presented.

The history, content and evolution of The International Journal of the First Year in Higher Education

The International Journal of the First Year in Higher Education (Int J FYHE) began in 2010 with a specific FYHE focus and has published two issues per year with one issue linked to The International First Year in Higher Education Conference (FYHE Conference). This issue—Volume 6, Issue 1—is the last under this title. In 2015 the Journal will align to a new conference that has a broader focus on Students, Transitions, Achievement, Retention and Success (STARS). At this significant point and before we move on to the new journal, the journal team felt it was appropriate that the Feature in this final issue of the Int J FYHE should summarise the Journal’s activity over the years from 2010 to 2014.

The State of Queensland Charities: An examination of the first Annual Information Statements of charities operating in Queensland

The advent of the Australian Charities and Not-for-profits Commission (ACNC) in 2012 and submission of Annual Information Statements (AIS) in 2013 by those charities which registered with them, have allowed new measures to be taken of charities and their activities. This report examines the filed AIS data for Queensland charities and compares it with the overall Australian population of charities.

Characteristics of the first pre-discharge current pulse in SF6 under a steep fronted impulse voltage

An improved understanding of the characteristics of the pre-discharge current pulses in GIS will lead to improved analyses of the results from the UHF partial discharge detection method. This paper presents the characteristics of the first pre-discharge current pulses from a point-to-plain geometry at 1 bar absolute under both polarities of a 1.1/80 us lightning impulse. The analysis has shown that the pre-discharge current wave shape, peak current magnitude and charge is effected by the instantaneous voltage at which the pre- discharge took place as well as the polarity of the active electrode. The measured results show that protrusions on the electrodes have slower wave shape parameters than those reported for free conducting particles.