1,377,554 research outputs found
A nonlinear theory of distributional geometry
No full textThis paper builds on the theory of nonlinear generalized functions begun in Nigsch & Vickers (Nigsch, Vickers 2021 Proc. R. Soc. A 20200640(doi:10.1098/rspa.2020.0640)) and extends this to a diffeomorphism-invariant nonlinear theory of generalized tensor fields with the sheaf property. Thegeneralized Lie derivative is introduced and shown to commute with the embedding of distributional tensor fields and the generalized covariant derivative commutes with the embedding at the level of association. The concept of a generalized metric is introduced and used to develop a non-smooththeory of differential geometry. It is shown that the embedding of a continuous metric results in a generalized metric with well-defined connection andcurvature and that for C2 metrics the embedding preserves the curvature at the level of association. Finally, we consider an example of a conical metric outside the Geroch–Traschen class and show that the curvature is associated to a delta function
Invariance of the distributional curvature of the cone under smooth diffeomorphisms
No full textAn explicit calculation is carried out to show that the distributional curvature of a 2-cone, calculated by Clarke et al (Clarke C J S, Vickers J A and Wilson J P 1996 Class. Quantum Grav. 13 2485-98), using Colombeau's new generalized functions is invariant under nonlinear Coo coordinate transformations
Creative Appointments
No full textVickers & Benson announces creative appoinments, including a promotion for Terry O'Malle
Vickers-Chan-7thGraders_Multiplex_Social .zip
No full textThe dataset representing the multiplex social network in a school in Victoria, Australia.
If you use this dataset in your work either for analysis or for visualization, you should acknowledge/cite the following papers:
Representing Classroom Social Structure. Melbourne: Victoria Institute of Secondary Education
M. Vickers and S. Chan, (1981)
The data were collected by Vickers from 29 seventh grade students in a school in Victoria, Australia. Students were asked to nominate their classmates on a number of relations including the following three (layers):
1. Who do you get on with in the class?
2. Who are your best friends in the class?
3. Who would you prefer to work with?
Students 1 through 12 are boys and 13 through 29 are girls.
There are 29 nodes in total, labelled with integer ID between 1 and 29, with 740 connections.
The multiplex is directed and unweighted, stored as edges list in the file
Vickers-Chan-7thGraders_multiplex.edges
with format
layerID nodeID nodeID weight
(Note: all weights are set to 1)
The IDs of all layers are stored in
Vickers-Chan-7thGraders_layers.txt
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A Work Approach to Determine Vickers Indentation Fracture Toughness
No full textAccording to the comparison of Vickers microindentation tests and Vickers macroindentation tests on several brittle materials, it is found that the ratio of hardness (H) to elastic modulus (E) is sensitive to well-developed radial cracks, but the ratio of unloading work (W(u)) to total loading work (W(t)) is not. Based on this finding together with the approximate linear relationship between the ratio of H to reduced modulus (E(r)) and W(u)/W(t), a new approach taking W(u)/W(t) instead of H/E as the input parameter to determine Vickers indentation fracture toughness is proposed. For this proposed approach, all input parameters can be obtained in one single instrumented indentation test for fracture toughness, thus the test procedure can be simplified significantly. The formula of the newly proposed approach is calibrated by the macroindentation tests on several brittle materials. The validity of the new approach is investigated by comparing its estimation with the old one's
Integration using invariant operators: conformally flat radiation metrics
No full textA new method is presented for obtaining the general conformally flat radiation metric by using the differential operators of Machado Ramos and Vickers (a generalization of those of Geroch, Held and Penrose) which are invariant under null rotations and rescalings. The solution is found by constructing involutive tables of these derivatives applied to the quantities which arise in the Karlhede classification of this class of metrics
Vickers Ruwolt electric furnace, 1968 [picture] /
No full text(P1484/49); Also available in an electronic version via the Internet at: http://nla.pic-an13017086-27; Also available as a colour print: Foundry at Vickers Ruwolt, Burnley, Melbourne, Victoria, 1968, PIC/7624/170 LOC Cold store PIC Siev CP.Related colour print: Foundry at Vickers Ruwolt, Burnley, Melbourne, Victoria, 196
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Four correspondences from Dean H. Vickers to state representatives regarding a biased law for school tax exemptions
No full textFour correspondences from Dean H. Vickers to Bill Harrison, Arnold Gonzales, Hugo Berlanga, and Carlos Truan regarding $10,000 school tax exemptions for persons under social security law. Vickers explains that he voted for it when it read as read-disabled persons and would have voted against if he knew it would be implemented as a biased law. He asks for a response and will report it or a lack of response to his local Disabled Veterans chapter
VICKERS RUWOLT PTY. LTD.
No full textThis 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/66316Transcripts; ledgers.112660
Acquisition: [1981.0086] "VICKERS RUWOLT PTY. LTD.
Lottie S. Vickers postcard to Franklin County Woman Suffrage Association, October 6, 1914
No full textLottie S. Vickers, a resident of Berlin Center, Ohio, sent this letter to the "Suffrage Headquarters" in Columbus to request literature on women's suffrage for a special meeting she was planning.
The Franklin County Woman Suffrage Association was formed in 1912, after the Ohio Constitutional Convention elected to bring to a vote the question of removing the words "white male" from the state constitution with regard to voting rights. Headquartered in the Chamber of Commerce building in Columbus, Ohio, the organization put out regular publications, organized public speeches and meetings, distributed literature and held parades in support of the suffrage movement. Women's suffrage in Ohio was defeated in a special election in 1912 and again in 1914 and 1916 before a resolution narrowly passed in 1917 allowing municipal voting by women in Columbus. In 1920, the 19th Amendment passed, extending the vote to women and prohibiting state and federal government from denying suffrage on the basis of sex
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