Department of Computer Science
Browse by
All items in BEARdocs are protected by original copyright, with all rights reserved, unless otherwise indicated.
Collections in this community
Recent Submissions

Giving the users a hand : towards touchless hand gestures for the desktop.
(, 20140905)Touchless, midair, gesturebased interactions have recently moved out of laboratories and Hollywood movies and into the hands of users. There is little difference in the interaction style and techniques used today from ... 
Recommendations Made Easy
(20140623)Fueled by evergrowing data, the need to provide recommendations for consumers, and the considerable domain knowledge required to implement distributed large scale graph solutions we sought to provide recommendations for ... 
Matrix Representations of GF(p[superscript n]) over GF(p)
(20140131)We show that any nonsingular nxn matrix of order p[superscript n]1 over GF(p) is a generator of a matrix representation of GF(p[superscript n]). We also determine the number of matrix representations of GF(p[superscript ... 
Fields and Cyclic Codes for Error Detection
(20140114)This technical report discusses some of the aspects of error detection using finite fields. 
Faster kmeans clustering.
(, 20130924)The popular kmeans algorithm is used to discover clusters in vector data automatically. We present three accelerated algorithms that compute exactly the same clusters much faster than the standard method. First, we redesign ... 
Designing incentives in P2P systems.
(, 20130924)The goal of this thesis is bringing closer together the game theoretic approach of creating incentives with the requirements and properties of P2P systems. Briefly, we detail the P2P system context that incentive mechanisms ... 
The Conjugacy Classes of 3x3 and 4x4 Matrices Over GF(2)
(20130920)The general linear groups over GF(2) have an intricate and interesting structure. This report does some preliminary work in examining the structure of two of these groups by giving the conjugacy classes of 3x3 and 4x4 ... 
The Class 10 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 10. (There is no class 6, so the classes are ... 
Class 9 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 9. 
The Class 8 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 8. This class includes the standard representation ... 
The Class 7 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 7. 
The Class 5 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 5. 
The Class 4 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 4. 
The Class 3 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 3. 
The Class 2 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 2. 
The Class 1 4x4 Faithful Representations of S4 over GF(2)
(20130920)There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 1. 
The Representations of GF(8) in GL3(2)
(20130920)This report gives one subgroup of each of the conjugacy classes of the subgroups of S7. 
The Representations of GF(8) in GL3(2)
(20130920)As is well known (or should be well known) the finite field GF(2^k) can be represented in the general linear group of kxk matrices over GF(2). There are many such representations. This report gives the 8 representations ... 
The Super Symmetric Representations of S4 in GL3(2)
(20130920)This report gives all conjugacy classes of the super symmetric groups HR3 and VR3 
Primitive Polynomials for the Field GF(3): Degree 2 through Degree 11
(20130920)This report lists the primitive polynomials over GF(3) of degree 2 through 11. These polynomials were generated using a new matrixbased technique I invented.