Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 1, Problem 4E

Suppose we extend Evans’s ANALOGY program so that it can score 200 on a standard IQ test. Would we then have a program more intelligent than a human? Explain.

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The Monte Carlo method is used in modeling a wide-range of physical systems at the forefront of scientific research today. Monte Carlo simulations are statistical models based on a series of random numbers. Let's consider the problem of estimating Pi by utilizing the Monte Carlo method. Suppose you have a circle inscribed in a square (as in the figure). The experiment simply consists of throwing darts on this figure completely at random (meaning that every point on the dartboard has an equal chance of being hit by the dart). How can we use this experiment to estimate Pi? The answer lies in discovering the relationship between the geometry of the figure and the statistical outcome of throwing the darts. Let's first look at the geometry of the figure. Let's assume the radius of the circle is R, then the Area of the circle = Pi * R^2 and the Area of the square = 4 * R^2. Now if we divide the area of the circle by the area of the square we get Pi / 4. But, how do we estimate Pi by…
Judging rules can be difficult – even for an objective computer program. In football (orsoccer as some people call it), the official rules say that the referee can allow the playto continue ‘when the team against which an offence has been committed will benefitfrom such an advantage’ and penalize ‘the original offence if the anticipated advantagedoes not ensue at that time’ (Federation Internationale de Football Association 2003).How would you implement this rule? What difficulties are involved in it?
Write a MATLAB program that will generate a surface plot of the mass of a conic surface. Theconic surface is defined by ? = 2√?2 + ?2 for 0.5 ≤ z ≤ 4 and the mass is related to z by ? =6 − ? . The plot should have an appropriate title and axis labels.This problem is best solved using cylindrical polar coordinates (r, θ, z) rather than rectangularcoordinates (x, y, z) for the underlying grid. Use z and θ for creating the initial grid, a grid for rcan then be computed from the z and θ grids, grids for x and y can be computed from the r and θgrids, and m can be computed from z grid. Plot m versus and x and y for the surface plot.
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