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Rotation matrix. In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix. rotates points in the xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system.
PDF Split and Merge. PDFsam Basic or PDF Split and Merge is a free and open-source cross-platform desktop application to split, merge, extract pages, rotate and mix PDF documents. PDFsam uses a freemium model and encourages buying the full version with popups.
Free ( Mozilla Public License) an Office suite; allows to export (and import, with accuracy limitations) PDF files. Microsoft Word 2013. Proprietary. Desktop software. The 2013 edition of Office allows PDF files to be converted into a format that can be edited. Nitro PDF Reader. Trialware.
PDFtk (short for PDF Toolkit) is a toolkit for manipulating Portable Document Format (PDF) documents. [ 3][ 4] It runs on Linux, Windows and macOS. [ 5] It comes in three versions: PDFtk Server ( open-source command-line tool ), PDFtk Free ( freeware) and PDFtk Pro ( proprietary paid ). [ 2] It is able to concatenate, shuffle, split and rotate ...
A PDF page description can use a matrix to scale, rotate, or skew graphical elements. A key concept in PDF is that of the graphics state , which is a collection of graphical parameters that may be changed, saved, and restored by a page description .
In mathematics, a rotation of axes in two dimensions is a mapping from an xy - Cartesian coordinate system to an x′y′ -Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle . A point P has coordinates ( x, y) with respect to the ...
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