2 nR , n
... Since a continuous random source requires infinite precision to represent exactly, we cannot reproduce it exactly using a finite-rate code. We first consider the problem of representing a single sample from the source. Let the random variable be represented be X and let the representation of X be de ...
... Since a continuous random source requires infinite precision to represent exactly, we cannot reproduce it exactly using a finite-rate code. We first consider the problem of representing a single sample from the source. Let the random variable be represented be X and let the representation of X be de ...
Longest Common Substring with Approximately k Mismatches
... classic solution to the longest common substring problem is based on two observations. The first observation is that the longest common substring of T1 and T2 is in fact the longest common prefix of some suffix of T1 and some suffix of T2 . The second observation is that the maximal length of the lo ...
... classic solution to the longest common substring problem is based on two observations. The first observation is that the longest common substring of T1 and T2 is in fact the longest common prefix of some suffix of T1 and some suffix of T2 . The second observation is that the maximal length of the lo ...
An urn model from learning theory
... possibilities for an urn : either the \good" balls predominate, or the \bad" balls, or there is an equal number of each type (the urn may be empty). Each type of urn has a speci c cost; the global cost is assumed to be a linear function of the numbers of urns of each type. We want to study this cost ...
... possibilities for an urn : either the \good" balls predominate, or the \bad" balls, or there is an equal number of each type (the urn may be empty). Each type of urn has a speci c cost; the global cost is assumed to be a linear function of the numbers of urns of each type. We want to study this cost ...
nature of metacognition in a dynamic geometry
... To explain student-tool interaction during problem solving, I drew on the theory of instrumentation developed in cognitive ergonomics, which is part of instrumental approach (Rabardel, 2001). Though this theoretical frame is very general dealing with different types of tools, it has been proven frui ...
... To explain student-tool interaction during problem solving, I drew on the theory of instrumentation developed in cognitive ergonomics, which is part of instrumental approach (Rabardel, 2001). Though this theoretical frame is very general dealing with different types of tools, it has been proven frui ...
Introduction to Initial Value Problems
... Before we discuss methods for approximating the solution of the IVP (2.2) we first need to ask ourselves if our prototype IVP actually has an analytic solution, even if we are unable to find it. We are only interested in approximating the solution to IVPs which have a unique solution. However, even ...
... Before we discuss methods for approximating the solution of the IVP (2.2) we first need to ask ourselves if our prototype IVP actually has an analytic solution, even if we are unable to find it. We are only interested in approximating the solution to IVPs which have a unique solution. However, even ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.