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15
An introduction to wavelets
 IEEE Computational Science and Engineering
, 1995
"... ABSTRACT. Wavelets are mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. They have advantages over traditional Fourier methods in analyzing physical situations where the signal contains ..."
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ABSTRACT. Wavelets are mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. They have advantages over traditional Fourier methods in analyzing physical situations where the signal contains
Factorization Of The Tenth Fermat Number
 MATH. COMP
, 1999
"... We describe the complete factorization of the tenth Fermat number F 10 by the elliptic curve method (ECM). F 10 is a product of four prime factors with 8, 10, 40 and 252 decimal digits. The 40digit factor was found after about 140 Mflopyears of computation. We also discuss the complete factor ..."
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Cited by 28 (12 self)
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We describe the complete factorization of the tenth Fermat number F 10 by the elliptic curve method (ECM). F 10 is a product of four prime factors with 8, 10, 40 and 252 decimal digits. The 40digit factor was found after about 140 Mflopyears of computation. We also discuss the complete factorization of other Fermat numbers by ECM, and summarize the factorizations of F 5 ; : : : ; F 11 .
Factorization of the tenth and eleventh Fermat numbers
, 1996
"... . We describe the complete factorization of the tenth and eleventh Fermat numbers. The tenth Fermat number is a product of four prime factors with 8, 10, 40 and 252 decimal digits. The eleventh Fermat number is a product of five prime factors with 6, 6, 21, 22 and 564 decimal digits. We also note a ..."
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. We describe the complete factorization of the tenth and eleventh Fermat numbers. The tenth Fermat number is a product of four prime factors with 8, 10, 40 and 252 decimal digits. The eleventh Fermat number is a product of five prime factors with 6, 6, 21, 22 and 564 decimal digits. We also note a new 27decimal digit factor of the thirteenth Fermat number. This number has four known prime factors and a 2391decimal digit composite factor. All the new factors reported here were found by the elliptic curve method (ECM). The 40digit factor of the tenth Fermat number was found after about 140 Mflopyears of computation. We discuss aspects of the practical implementation of ECM, including the use of specialpurpose hardware, and note several other large factors found recently by ECM. 1. Introduction For a nonnegative integer n, the nth Fermat number is F n = 2 2 n + 1. It is known that F n is prime for 0 n 4, and composite for 5 n 23. Also, for n 2, the factors of F n are of th...
Three New Factors of Fermat Numbers
 Math. Comp
, 2000
"... We report the discovery of a new factor for each of the Fermat numbers F 13 ,F 15 ,F 16 . These new factors have 27, 33 and 27 decimal digits respectively. Each factor was found by the elliptic curve method. After division by the new factors and previously known factors, the remaining cofactors are ..."
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We report the discovery of a new factor for each of the Fermat numbers F 13 ,F 15 ,F 16 . These new factors have 27, 33 and 27 decimal digits respectively. Each factor was found by the elliptic curve method. After division by the new factors and previously known factors, the remaining cofactors are seen to be composite numbers with 2391, 9808 and 19694 decimal digits respectively. 1.
Data Engineering
"... A growing number of applications need access to video data stored in digital form on secondary storage devices (e.g., videoondemand, multimedia messaging). As a result, video servers that are responsible for the storage and retrieval, at fixed rates, of hundreds of videos from disks are becoming i ..."
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Cited by 3 (0 self)
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A growing number of applications need access to video data stored in digital form on secondary storage devices (e.g., videoondemand, multimedia messaging). As a result, video servers that are responsible for the storage and retrieval, at fixed rates, of hundreds of videos from disks are becoming increasingly important. Since video data tends to be voluminous, several disks are usually used in order to store the videos. A challenge is to devise schemes for the storage and retrieval of videos that distribute the workload evenly across disks, reduce the cost of the server and at the same time, provide good response times to client requests for video data. In this paper, we present schemes that are based on striping videos (finegrained as well as coarsegrained) across disks in order to effectively utilize disk bandwidth. For the schemes, we show how an optimalcost server architecture can be determined if data for a certain prespecified number of videos is to be concurrently retrieved...
Data Engineering
"... XML is fast becoming the intergalactic data speak alphabet for data and information exchange that hides the heterogeneity among the components of Looselycoupled, distributed systems and provides the glue that allows the individual components to take part in the loosely integrated system. Since much ..."
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Cited by 2 (0 self)
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XML is fast becoming the intergalactic data speak alphabet for data and information exchange that hides the heterogeneity among the components of Looselycoupled, distributed systems and provides the glue that allows the individual components to take part in the loosely integrated system. Since much of this data is currently stored in relational database systems, simplifying the transformation of this data from and to XML in general and from and to the agreed upon exchange schema specifically is an important feature that should improve the productivity of the programmer and the efficiency of this process. This article provides an overview over the features that are needed to provide access via HTTP and XML and presents the approach taken in Microsoft SQL Server. Keywords: Looselycoupled, distributed system architectures, XML, relational database systems 1
BIOMEDICAL IMAGE ANALYSIS USING WAVELET TOOLS FOR EMERGENCY MEDICAL APPLICATIONS
"... In this paper, the analysis of 2D signals, especially emergency biomedical images are performed using the wavelet tools of MATLAB, has been presented for medical application. In terms of 2D signal analysis, an image is taken and added with different four types of noise (Salt and Peeper, Speckle, Gau ..."
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In this paper, the analysis of 2D signals, especially emergency biomedical images are performed using the wavelet tools of MATLAB, has been presented for medical application. In terms of 2D signal analysis, an image is taken and added with different four types of noise (Salt and Peeper, Speckle, Gaussian and Poisson). After that all of the noisy images are denoised for further comparison with the statistical data of the original image. Later the decision is taken based on the impact of the noises, which noise is less harmful and from which noise the signal can be reconstructed mostly. The applications of wavelet in different sectors along with some practical usage are also discussed.
unknown title
, 2000
"... A study of high quality speech synthesis based on the analysis of the randomness in speech signals ..."
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A study of high quality speech synthesis based on the analysis of the randomness in speech signals
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, 2000
"... A study of high quality speech synthesis based on the analysis of the randomness in speech signals ..."
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A study of high quality speech synthesis based on the analysis of the randomness in speech signals