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In software engineering, a unity build (also known as unified build, jumbo build or blob build) is a method used in C and C++ software development to speed up the compilation of projects by combining multiple translation units into a single one, usually achieved by using include directives to bundle multiple source files into one larger file.
PTX – Pro Tools 10 or later project file; PTF – Pro Tools 7 up to Pro Tools 9 project file; PTS – Legacy Pro Tools project file; RIN – Soundways RIN-M file containing sound recording participant credits and song information; RPP, RPP-BAK – REAPER project file; REAPEAKS – REAPER peak (waveform cache) file; SES – Adobe Audition ...
3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point. [6]
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Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...
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For applications in physics and specially in mechanics, a change of basis often involves the transformation of an orthonormal basis, understood as a rotation in physical space, thus excluding translations. This article deals mainly with finite-dimensional vector spaces.
In dimension at most three, any improper rigid transformation can be decomposed into an improper rotation followed by a translation, or into a sequence of reflections. Any object will keep the same shape and size after a proper rigid transformation. All rigid transformations are examples of affine transformations.