Results 1  10
of
10
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 ..."
Abstract

Cited by 168 (0 self)
 Add to MetaCart
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 ..."
Abstract

Cited by 22 (10 self)
 Add to MetaCart
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 ..."
Abstract

Cited by 17 (8 self)
 Add to MetaCart
. 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...
Two new factors of Fermat numbers
, 1997
"... Abstract. We report the discovery of new 27decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new factors and other known factors, the quotients are seen to be composite numbers with 2391 and 19 ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
Abstract. We report the discovery of new 27decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new factors and other known factors, the quotients are seen to be composite numbers with 2391 and 19694 decimal digits respectively. 1.
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 ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
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 ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
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...
Bulletin of the Technical Committee on Data Engineering, December 1997
 Proceedings of the 1999 ACM SIGMOD International Conference on Management of Data, volume 282 of SIGMOD Record
, 1997
"... this paper we describe and evaluate several popular techniques for data reduction. Historically, the primary need for data reduction has been internal to a database system, in a costbased query optimizer. The need is for the query optimizer to estimate the cost of alternative query plans cheaply  ..."
Abstract
 Add to MetaCart
this paper we describe and evaluate several popular techniques for data reduction. Historically, the primary need for data reduction has been internal to a database system, in a costbased query optimizer. The need is for the query optimizer to estimate the cost of alternative query plans cheaply  clearly the effort required to do so must be much smaller than the effort of actually executing the query, and yet the cost of executing any query plan depends strongly upon the numerosity of specified attribute values and the selectivities of specified predicates. To address these query optimizer needs, many databases keep summary statistics. Sampling techniques have also been proposed. More recently, there has been an explosion of interest in the analysis of data in warehouses. Data warehouses can be extremely large, yet obtaining answers quickly is important. Often, it is quite acceptable to sacrifice the accuracy of the answer for speed. Particularly in the early, more exploratory, stages of data analysis, interactive response times are critical, while tolerance for approximation errors is quite high. Data reduction, thus, becomes a pressing need. The query optimizer need for estimates was completely internal to the database, and the quality of the estimates used was observable by a user only very indirectly, in terms of the performance of the database system. On the other hand, the more recent data analysis needs for approximate answers directly expose the user to the estimates obtained. Therefore the nature and quality of these estimates becomes more salient. Moreover, to the extent that these estimates are being used as part of a data analysis task, there may often be "byproducts" such as, say, a hierarchical clustering of data, that are of value to the analyst in an...
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 ..."
Abstract
 Add to MetaCart
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
unknown title
"... SOFTWARE Software WaveletQuant, an improved quantification software based on wavelet signal threshold denoising for labeled quantitative proteomic analysis ..."
Abstract
 Add to MetaCart
SOFTWARE Software WaveletQuant, an improved quantification software based on wavelet signal threshold denoising for labeled quantitative proteomic analysis