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Rendiconti del Circolo Matematico di Palermo Series 2, 2021
We prove that, in a sequentially complete locally convex Hausdorff space X, every locally equicontinuous strongly continuous cosine family is uniquely determined by its infinitesimal generator. If, in addition, X is a barrelled space, we give a generalization of uniqueness theorem for strongly continuous cosine families. Equipped with these results, we
Rachid Ameziane Hassani +3 more
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We prove that, in a sequentially complete locally convex Hausdorff space X, every locally equicontinuous strongly continuous cosine family is uniquely determined by its infinitesimal generator. If, in addition, X is a barrelled space, we give a generalization of uniqueness theorem for strongly continuous cosine families. Equipped with these results, we
Rachid Ameziane Hassani +3 more
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Integral Transforms and Special Functions, 1999
The cosine integral Ci(λx) and its associated functions Ci+(λx) and C(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions. Some convolution products of these distributions and other functions are then found.
Brian Fisher, Fatma Al-Sirehy
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The cosine integral Ci(λx) and its associated functions Ci+(λx) and C(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions. Some convolution products of these distributions and other functions are then found.
Brian Fisher, Fatma Al-Sirehy
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, 1986 From the sine of an angle and the cosine of an angle, we shall define functions of numbers, and determine their derivatives.
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1990
The main purpose of COSINE, Eureka Project No. 8, is to create a computer networking infrastructure based on the use of OSI protocols which will provide services to the whole research and development community (academic and commercial) throughout Europe.
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The main purpose of COSINE, Eureka Project No. 8, is to create a computer networking infrastructure based on the use of OSI protocols which will provide services to the whole research and development community (academic and commercial) throughout Europe.
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Autofocusing through cosine and modified cosine score in digital holography
SPIE Proceedings, 2016An autofocusing method is proposed that utilizes cosine score of inner angle between the vectors resulted from vectoring the axial adjacent reconstructed images in digital holography. It is based on the fact that the images near the focus contain more regular features of object than in the defocused region, therefore, the neighboring reconstructed ...
Aga He, Wen Xiao, Feng Pan
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COSINE Implementation Phase: COSINE project officer's view
Computer Networks and ISDN Systems, 1988Abstract The COSINE Project is conceived in three phases, the Specification Phase lasting from July 1987 to June 1988, the Implementation Phase from January 1989 to December 1991 and the so-called Federative Phase starting in January 1992 and nominally lasting five years.
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A Proof of the Cosine Addition Formula Using the Law of Cosines
Mathematics Magazine, 2014(2014). A Proof of the Cosine Addition Formula Using the Law of Cosines. Mathematics Magazine: Vol. 87, No. 2, pp. 144-144.
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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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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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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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