25-letter words containing sfo
- discrete cosine transform — (mathematics) (DCT) A technique for expressing a waveform as a weighted sum of cosines. The DCT is central to many kinds of signal processing, especially video compression. Given data A(i), where i is an integer in the range 0 to N-1, the forward DCT (which would be used e.g. by an encoder) is: B(k) = sum A(i) cos((pi k/N) (2 i + 1)/2) i=0 to N-1 B(k) is defined for all values of the frequency-space variable k, but we only care about integer k in the range 0 to N-1. The inverse DCT (which would be used e.g. by a decoder) is: AA(i)= sum B(k) (2-delta(k-0)) cos((pi k/N)(2 i + 1)/2) k=0 to N-1 where delta(k) is the Kronecker delta. The main difference between this and a discrete Fourier transform (DFT) is that the DFT traditionally assumes that the data A(i) is periodically continued with a period of N, whereas the DCT assumes that the data is continued with its mirror image, then periodically continued with a period of 2N. Mathematically, this transform pair is exact, i.e. AA(i) == A(i), resulting in lossless coding; only when some of the coefficients are approximated does compression occur. There exist fast DCT algorithms in analogy to the Fast Fourier Transform.
- homothetic transformation — similarity transformation (def 1).
- homothetic-transformation — Also called homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements.
- similarity transformation — Also called homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements.
- ucs transformation format — (standard, character) (UTF) A set of standard character encodings in accordance with ISO 10646. One of a set of standard character encodings, the most widely used of which are UTF-8, UTF-16, and UTF-32. The code tables in ISO 10646 and in the Unicode standard are identical, although the Unicode standard includes additional material. UTF-8 is the most widely used encoding, at least on Unix systems. Since it does not include any bytes like '\0' or '/' which have a special meaning in filenames and other C library function parameters, and 7-bit ASCII characters have the same encoding under both ASCII and UTF-8, the required changes to existing software are minimised. Other UTFs: UTF-1 and UTF-7 are not widely used.
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