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For a symmetric matrix A, the vector vec(A) contains more information than is strictly necessary, since the matrix is completely determined by the symmetry together with the lower triangular portion, that is, the n(n + 1)/2 entries on and below the main diagonal. For such matrices, the half-vectorization is
EuroOffice is a derivative of LibreOffice with free and non-free extensions, for the Hungarian language and geographic detail, developed by Hungarian-based MultiRacio Ltd. [266] [267] "NDC ODF Application Tools" is a derivative of LibreOffice provided by the Taiwan National Development Council (NDC) and used by public agencies in Taiwan.
LibreOffice Draw is a free and open source vector graphics editor. It is one of the applications included in the LibreOffice suite, developed by The Document Foundation . LibreOffice Draw can be used to create complicated figures using shape tools, straight and curved tools, polygon tools, among other features.
Octave (aka GNU Octave) is an alternative to MATLAB. Originally conceived in 1988 by John W. Eaton as a companion software for an undergraduate textbook, Eaton later opted to modify it into a more flexible tool. Development begun in 1992 and the alpha version was released in 1993. Subsequently, version 1.0 was released a year after that in 1994.
A formula editor is a computer program that is used to typeset mathematical formulas and mathematical expressions. Formula editors typically serve two purposes: They allow word processing and publication of technical content either for print publication, or to generate raster images for web pages or screen presentations.
The formula calculator concept can be applied to all types of calculator, including arithmetic, scientific, statistics, financial and conversion calculators. The calculation can be typed or pasted into an edit box of: A software package that runs on a computer, for example as a dialog box. An on-line formula calculator hosted on a web site.
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Automatic vectorization, a compiler optimization that transforms loops to vector operations; Image tracing, the creation of vector from raster graphics; Word embedding, mapping words to vectors, in natural language processing