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On the history of suspension bridge theory

T. Malcolm Charlton, Placido Cicala (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A linearized formulation of the elastic theory of suspension bridges is confronted with early investigations in the field. For decades, the structure was schematized as a beam (deck or girder) relieved by a one parameter distribution of forces exerted by the cable, disregarding the influence of beam deflection on that distribution as given by the linearized approach. An anonymous note presented the essential conclusions of this theory anticipating results of investigations following the methods...

On the logical development of statistical models.

Daniel Peña (1988)

Trabajos de Estadística

This paper presents a classification of statistical models using a simple and logical framework. Some remarks are made about the historical appearance of each type of model and the practical problems that motivated them. It is argued that the current stages of the statistical methodology for model building have arisen in response to the needs for more sophisticated procedures for building dynamic-explicative types of models. Some potentially important topics for future research are included.

On the problem of Baer and Kolchin in the Picard-Vessiot theory

Beata Kocel-Cynk, Elżbieta Sowa (2011)

Banach Center Publications

We present the history of the development of Picard-Vessiot theory for linear ordinary differential equations. We are especially concerned with the condition of not adding new constants, pointed out by R. Baer. We comment on Kolchin's condition of algebraic closedness of the subfield of constants of the given differential field over which the equation is defined. Some new results concerning existence of a Picard-Vessiot extension for a homogeneous linear ordinary differential equation defined over...

Ongoing Efforts to Generate “Tagged PDF” using pdfTeX

Moore, Ross (2009)

Towards a Digital Mathematics Library. Grand Bend, Ontario, Canada, July 8-9th, 2009

Recently PDF has been accepted as a standard for production of electronic documents, as ISO 32000-1:2008, with an acronym of PDF/UA (for “Universal Accessibility”). The second draft ISO 32000-2:2009 is to include specifications for including MathML tagging of mathematical environments and expressions. This talk presents a report on work-in-progress, aimed at: developing the primitive commands for pdfTeX needed to support the production of fully tagged PDF documents; writing appropriate TeX and...

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