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<H1>linear</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
(1) Any function which is a constant times the argument plus a constant: f(x)=c<sub>1</sub>x + c<sub>0</sub>. (2) In complexity theory, the measure of computation, m(n) (usually execution time or memory space), is bounded by a linear function of the problem size, n.  More formally m(n) = <a href="bigOnotation.html" tppabs="http://hissa.nist.gov/dads/HTML/bigOnotation.html"><em>O(n)</em></a>.
<P><strong>See also</strong>
<a href="exponential.html" tppabs="http://hissa.nist.gov/dads/HTML/exponential.html"><em>exponential</em></a>, <a href="logarithmic.html" tppabs="http://hissa.nist.gov/dads/HTML/logarithmic.html"><em>logarithmic</em></a>, <a href="polynomial.html" tppabs="http://hissa.nist.gov/dads/HTML/polynomial.html"><em>polynomial</em></a>.
<P><em>Note:
Strictly speaking, a linear function is polynomial with the highest exponent being 1.  However polynomial usually means exponents greater than 1.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>

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Entry modified Wed Sep 22 16:52:34 1999.<BR>
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