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Chapter 4: Programming in Matlab - College of the Redwoods

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266 <strong>Chapter</strong> 4 <strong>Programm<strong>in</strong>g</strong> <strong>in</strong> <strong>Matlab</strong><br />

Take a moment to check that <strong>in</strong> each position <strong>in</strong> B that conta<strong>in</strong>s a logical 1 (true),<br />

<strong>the</strong> correspond<strong>in</strong>g position <strong>in</strong> matrix A conta<strong>in</strong>s a uniform random number that<br />

is less than 0.5.<br />

There are a number <strong>of</strong> th<strong>in</strong>gs that we can do with this <strong>in</strong>formation. We could<br />

list all <strong>the</strong> random numbers <strong>in</strong> A that are less than 0.5 by us<strong>in</strong>g matrix B as a<br />

logical <strong>in</strong>dex <strong>in</strong>to <strong>the</strong> matrix A. 2<br />

>> A(B)<br />

ans =<br />

0.4565<br />

0.0185<br />

0.4447<br />

0.1763<br />

0.4057<br />

0.4103<br />

0.0579<br />

0.3529<br />

0.0099<br />

0.1389<br />

0.2028<br />

0.1987<br />

0.2722<br />

0.1988<br />

0.0153<br />

Or we could set each <strong>of</strong> <strong>the</strong>se positions to zero.<br />

>> A(B)=0<br />

A =<br />

0 0.7919 0.9355 0 0<br />

0 0.9218 0.9169 0.8132 0.6038<br />

0.8214 0.7382 0 0 0<br />

0 0 0.8936 0 0<br />

0.6154 0 0 0 0<br />

2 <strong>Matlab</strong> has roots that began <strong>the</strong>ir growth <strong>in</strong> Fortran, where <strong>the</strong> entries <strong>in</strong> arrays were loaded<br />

by column. The <strong>Matlab</strong> command A(:) will list all <strong>the</strong> entries <strong>in</strong> A, first go<strong>in</strong>g down <strong>the</strong><br />

first column, <strong>the</strong>n <strong>the</strong> second, etc. With <strong>the</strong> command A(B), <strong>Matlab</strong> first lists all <strong>the</strong> “true”<br />

positions <strong>in</strong> <strong>the</strong> first column, <strong>the</strong>n <strong>the</strong> second, etc.

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