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On characterizing graphs with branchwidth at most four
(2001)There are several ways in which we can characterize classes of graphs. One such way of classifying graphs is by their branchwidth. In working to characterize the class of graphs with branchwidth at most four beta 4 we have ... 
On computing minimal independent support and its applications to sampling and counting
(2015)Constrained sampling and counting are two fundamental problems arising in domains ranging from artificial intelligence and security, to hardware and software testing. Recent approaches to approximate solutions for these ... 
On continued fractions and infinite products
(1938)Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines uniquely a continued fraction of the form (1 · 11) a0+a1x a11+a 2xa2 1+&ldots;+anx an1+&ldots; where the exponents ... 
On Culture Vs. Knitting
(19621205) 
On Design Criteria and Construction of Noncoherent SpaceTime Constellations
(20020720)We consider the problem of digital communication in a Rayleigh flat fading environment using a multiple antenna system, when both the transmitter and the receiver are unaware of the channel coefficients. Using Stein's lemma ... 
On Design Criteria and Construction of Noncoherent SpaceTime Constellations
(20031020)We consider the problem of digital communication in a Rayleigh flat fading environment using a multipleantenna system, when the channel state information is available neither at the transmitter nor at the receiver. It ... 
On Diversity and Multiplexing Gain of Multiple Antenna Systems with Transmitter Channel Information
(20041001)We quantify the multiplexingdiversity tradeoff of a multipleinput multipleoutput (MIMO) system, when the channel state information (CSI) is known perfectly at the receiver and partially at the transmitter. The partial ... 
ON EFFICIENT DIGITAL FILTERING
(1981)Part I: Multistage Multirate Digital Filtering. A theorem is introduced which is useful in deriving equivalent multirate filter structures. Frequency responses of multistage multirate filters are derived and defined in ... 
On electronic interactions in the freeelectron model including exchange
(1953)We have investigated the concept of electronic screening from the standpoint of achieving a uniform and consistent interpretation for the purpose of providing a technique for dealing, in first approximation at least, with ... 
On eliminating square paths in a square lattice
(2000)Removing the minimum number of vertices or points from a square lattice such that no square path exists is known as the square path problem. Finding this number as the size of the lattice increases is not so trivial. Results ... 
On Evolution of Law, Legal Systems
(19620330) 
On Fictive Sentence Analysis
(198004) 
On functions defined by a Taylor series
(1944)This thesis consists in greater part (Theorem B to Theorem K) of a number of new results which state conditions that a function defined by a Taylor series be of a certain form. In particular Theorems I and K are concerned ... 
On Garabedian's method of solving the wave equation
(1995)In this thesis, we shall reexamine and provide as clear an exposition as possible of a method presented by P. R. Garabedian which results in an integral formula representation of a solution to the wave equation. The method ... 
On geometry along grafting rays in Teichmuller space
(20120905)In this work, we investigate the midrange behavior of geometry along a grafting ray in Teichm\"{u}ller space. The main technique is to describe the hyperbolic metric $\sigma_{t}$ at a point along the grafting ray in ... 
On Green Dolphin Street
(19810218) 
On Handling Hot Potatoes
(19610428) 
On improving the accuracy of primaldual interior point methods for linear programming
(2005)Implementations of the primaldual approach in solving linear programming problems still face issues in maintaining numerical stability and in attaining high accuracy. The major source of numerical problems occurs during ...