307,159 research outputs found
Volumes, áreas e outros problemas do tipo-Falconer
In this thesis, we investigate the Falconer-type problems about point configurations and in different dimensions. It is well-known the concept of the Hausdorff measure is a generalization of the Lebesgue measure and the Falconer distance problem aims to relate these two topics when it asks how large does the Hausdorff dimension of a compact set need to be to ensure the Lebesgue measure of the distance set. In the first moment, we consider a k-point configurations in Rd and we prove that a compact set E EUR Rd determines a positive measure of such volume types if the Hausdorff dimension of E is greater than d d1 2kd generalizing some results in this field. This portion of the work represents joint work with Dr. Alex McDonald. In the second moment, we study a Falconer-type problem on a 4-point configuration in the plane and we prove that a compact set E EUR R2 determines a positive measure of such Galo area types if the Hausdorff dimension of E is greater than 3 2 extending some results from A. McDonald in [22].Nessa tese, investigamos alguns problemas do tipo-Falconer sobre específicas configurações e em diferentes dimensões. O conceito de medida de Hausdorff é bem conhecido por todos pois se trata de uma generalização da medida de Lebesgue e o problema da distância de Falconer tem o objetivo de alinhar estes dois conceitos quando perguntado quão grande precisamos atribuir a dimensão de Hausdorff de um conjunto compacto a fim de que a medida de Lebesgue do conjunto de distancias seja positiva. No primeiro momento, consideramos uma configuração de k-pontos em e provamos que se um conjunto compacto então conseguimos determinar que o conjunto do tipo-volumes possui medida de Lebesgue positiva quando a dimensão de Hausdorff de E é maior do que generalizando assim alguns resultados existentes neste campo. Uma porção destes resultados representa um trabalho feito em parceria com Dr. Alex McDonald. No segundo momento, estudamos outros problemas do tipi-Falconer sendo uma configuração de 4 pontos no plano e provamos que um conjunto compacto determina que o conjuntos do tipo area de Galo possui medida de Lebesgue positiva se a dimensão de Hausdorff de é maior do que extendendo alguns resultados de A. McDonald
Falconer, E J, NX29123
This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/384480Surname: FALCONER. Given Name(s) or Initials: E J. Military Service Number or Last Known Location: NX29123. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 2795.230222
Item: [2016.0049.16773] "Falconer, E J, NX29123
An universal dictionary of the marine: or, a copious explanation of the technical terms and phrases employed in the construction, equipment, furniture, machinery, movements, and military operations of a ship : illustrated with variety of original designs of shiping, in different situations; together with seperate views of their masts, sails, yards, and riging : to which is annexed, a translation of the french sea-terms and phrases, collected from the works of ... du Hamel, Aubin, Saverien, &c
by William Falconer ..
Palaeontological memoirs and notes / von Murchison, Charles / 2 Mastodon, elephant, rhinoceros, ossiferous caves, primeval man and his contemporaries
of the late Hugh Falconer ; compiled and edited by Charles MurchinsonExlibrisetikette: "Legat von Herrn Professor Oswald Heer" 002320143_0002 Exemplar der ETH-BI
Palaeontological memoirs and notes
of the late Hugh Falconer ; compiled and edited by Charles Murchiso
Palaeontological memoirs and notes / von Murchison, Charles / 1 Fauna antiqua sivalensis
of the late Hugh Falconer ; compiled and edited by Charles MurchisonExlibrisetikette: "Legat von Herrn Professor Oswald Heer" 002320143_0002 Exemplar der ETH-BIBHandschriftliches Geschenkexlibris: "To Professor Oswald Heer with W. Charles Falconer's compts." 002320101_0001 Exemplar der ETH-BI
A singular variant of the Falconer distance problem
In this paper we study the following variant of the Falconer distance
problem. Let be a compact subset of , , and define
We shall prove using a variety of methods that if the Hausdorff
dimension of is greater than , then the Lebesgue
measure of is positive. This problem can be viewed as a singular
variant of the classical Falconer distance problem because considering the
diagonal in the definition of poses interesting complications
stemming from the fact that the set is much smaller than the sets for which the Falconer type
results are typically established.
We also prove a finite field variant of the Euclidean results for
and indicate both the similarities and the differences between the two
settings.Comment: A new approach has been added. 25 page
Assessment of motivational states in performance environments
The development of a new measure of operator motivational state is described, within the framework of a model of subjective stress that distinguishes Task Engagement, Distress and Worry as fundamental aspects of state (Matthews et al., 1999). Previous work on task motivation suggests that strivings for success should be distinguished from interest in the task. Factor analysis of items representing these constructs in a sample of 880 supported the development of reliable, psychometrically distinct scales for Success and Interest Motivation. Both dimensions relate to Task Engagement, but Success Motivation, perhaps surprisingly, is also associated with negative emotions and self-beliefs. The two scales showed different patterns of dependence on task factors. They were also distinguished by differing associations with workload and coping measures, although both related to higher effort and use of task-focused coping. It is concluded that the scales are promising for use in human factors research that addresses the need to structure tasks for greater operator interest and engagement
IS Falconer
Research School of Physical Sciences - Research Scholars (Small Photos) - Dr. F. D. Stacey, J. R. Sherwood, Ian McDougall, I. S. Falconer, E. W. Godbole, P. W. Seymore, Dr. R. N. Glover, Mr. B. F. Wadsworth, Dr. F. C. Barker, Dr. Germaine A. Joplin, Mr. H. Johnson, Mr. R. A. Marshall, Mr. H. Doyle & other
Going Beyond Counting First Authors in Author Co-citation Analysis
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
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