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The Discrete Cosine Transform (DCT)
2009The Fourier transform and the DFT are designed for processing complex-valued signals, and they always produce a complex-valued spectrum even in the case where the original signal was strictly realvalued. The reason is that neither the real nor the imaginary part of the Fourier spectrum alone is sufficient to represent (i.e., reconstruct) the signal ...
Wilhelm Burger, Mark J. Burge
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Mathematics Magazine, 1987
Most of the identities derived by Usiskin have the same form: The product of the sines of k appropriately chosen angles (k is a positive integer), all between 00 and 900, equals 1/2k* In a recent conversation, Usiskin asked for an "explanation" of these identities. By that he meant more than merely proofs of these equations.
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Most of the identities derived by Usiskin have the same form: The product of the sines of k appropriately chosen angles (k is a positive integer), all between 00 and 900, equals 1/2k* In a recent conversation, Usiskin asked for an "explanation" of these identities. By that he meant more than merely proofs of these equations.
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SCA: A Sine Cosine Algorithm for solving optimization problems
Knowledge-Based Systems, 2016Seyedali Mirjalili
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1992
Publisher Summary This chapter elaborates about cosine method applicable to second-order linear autonomous equations of a special form, a finite difference scheme from which a numerical approximation to the solution might be obtained. An exact representation of the solution is found.
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Publisher Summary This chapter elaborates about cosine method applicable to second-order linear autonomous equations of a special form, a finite difference scheme from which a numerical approximation to the solution might be obtained. An exact representation of the solution is found.
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Transactions of the Optical Society, 1925
Objections raised to the statement that rays selected by a cosine relation determine caustic surfaces in the object and image spaces, and to some points in the proof of the cosine law, are considered in some detail and the adoption of the original enunciation of the theorem justified as opposed to the modified form suggested by Hertzberger and approved
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Objections raised to the statement that rays selected by a cosine relation determine caustic surfaces in the object and image spaces, and to some points in the proof of the cosine law, are considered in some detail and the adoption of the original enunciation of the theorem justified as opposed to the modified form suggested by Hertzberger and approved
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Clustering method and sine cosine algorithm for image segmentation
Evolutionary Intelligence, 2021Lahbib Khrissi +3 more
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