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Displaying 1301 –
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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...
Similar to many mathematical fields also the topic of mathematical programming has its origin in applied problems. But, in contrast to other branches of mathematics, we don't have to dig too deeply into the past centuries to find their roots. The historical tree of mathematical programming, starting from its conceptual roots to its present shape, is remarkably short, and to quote Isaak Newton, we can say:
"We are standing on the shoulders of giants".
The goal of...
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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