Users looking for documents within specific categories may have a difficult time locating valuable documents using general purpose search engines. We present an automated method for learning query modifications that can dramatically improve precision for locating pages within specified categories using web search engines. We also present a classification procedure that can recognize pages in a ...

Most image interpolation or extrapolation algorithms assume that the locations of the unknown pixels are known. In this paper we attempt to remove this restriction. More precisely, we propose an algorithm for locating the incorrect pixels of an image, assuming only partial knowledge of its Fourier transform. Note that this is a nonlinear problem: the unknown quantities are the positions and val...

Problem 1 Find u(x, y) satisfying u x + u y = u 2 , u(x, −x) = x, −∞ ≤ x ≤ ∞ Sketch the characteristic curves and show the domain of validity of the solution in the (x, y)-plane. In this problem we will examine the solution to a nonhomogeneous first-order PDE with constant coefficients. In order to solve this problem we can follow a typical approach: (1) find an explicit form for the characteri...

My implementation of the discrete difference approximation, as defined by Equation 1, was completed using Matlab and is included as prob1.m. Note that prob1.m accepts a single input argument kMode which is used to toggle λ = 1/2 or λ = h. Before presenting the results of my program, I will briefly outline the architecture of the source code. On lines 21-55 I select the values of {N, h, k} and d...