In this chapter we develop a mathematical model for stochastic gene regulation that is motivated by previous work on noise in λ cI repressor [19]. Simulated time-series data are used to predict features of cross correlation functions and to understand the effect of active and inactive forms of regulation. We extend the simulation-based analysis by developing analytic solutions to arbitrary cros...

We present techniques which may be used to perform computations of very high accuracy using only straightforward oating point arithmetic operations of limited precision, and we prove the validity of these techniques under very general hypotheses satissed by most implementations of oating point arithmetic. To illustrate the application of these techniques, we present an algorithm which computes ...

We examine the cost for an attacker to pay users to execute arbitrary code—potentially malware. We asked users at home to download and run an executable we wrote without being told what it did and without any way of knowing it was harmless. Each week, we increased the payment amount. Our goal was to examine whether users would ignore common security advice—not to run untrusted executables—if th...

We introduce a new approach which facilitates the calculation of the covering radius of a binary linear code. It is based on determining the normalized covering radius p. For codes of fixed dimension we give upper and lower bounds on p that arc reasonably close. As an application, an explicit formula is given for the covering radius of an arbitrary code of dimension <4. This approach also sheds...

in this paper, collapse behavior of simple and reinforced thin-walled channel- section beams, subjected to three- point bending, is investigated. many simple channel- section beams of different geometry and some reinforced ones were tested, and their strengths after collapse were obtained thoroughly. since the available theories in this area are complicated and little attention has been paid to...