Dr. Erik Postma: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=94808
en-us2022 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSat, 22 Jan 2022 03:25:30 GMTSat, 22 Jan 2022 03:25:30 GMTNew applications published by Dr. Erik Postmahttps://www.maplesoft.com/images/Application_center_hp.jpgDr. Erik Postma: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=94808
Generating random numbers efficiently
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Generating (pseudo-)random values is a frequent task in simulations and other programs. For some situations, you want to generate some combinatorial or algebraic values, such as a list or a polynomial; in other situations, you need random numbers, from a distribution that is uniform or more complicated. In this article I'll talk about all of these situations.<img src="https://www.maplesoft.com/view.aspx?si=153662/thumb.jpg" alt="Generating random numbers efficiently" style="max-width: 25%;" align="left"/>Generating (pseudo-)random values is a frequent task in simulations and other programs. For some situations, you want to generate some combinatorial or algebraic values, such as a list or a polynomial; in other situations, you need random numbers, from a distribution that is uniform or more complicated. In this article I'll talk about all of these situations.https://www.maplesoft.com/applications/view.aspx?SID=153662&ref=FeedMon, 18 Aug 2014 04:00:00 ZDr. Erik PostmaDr. Erik PostmaBeauty Clinic
https://www.maplesoft.com/applications/view.aspx?SID=97879&ref=Feed
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<p>This is the implementation of an algorithm described in a paper by Rob Corless, Erik Postma and David Stoutemyer, entitled <em>Rounding coefficients and artificially underflowing terms in non-numeric</em> <em>expressions</em> and currently submitted for publication.</p>
<p>The algorithm takes a uni- or multivariate polynomial <em>p</em>(<em>z</em>), typically with approximate coefficients, and returns a polynomial <em>q</em>(<em>z</em>) such that |<em>p</em>(<em>z</em>) - <em>q</em>(<em>z</em>)|/|<em>p</em>(<em>z</em>)| is very small for all complex <em>z</em>, yet <em>q</em> may have fewer digits in its coefficients than <em>p</em> and even fewer terms overall. This makes the polynomial easier to deal with and to gain insight into for humans, while not affecting the polynomial as a complex function.</p>
</div><img src="https://www.maplesoft.com/view.aspx?si=97879/maple_icon.jpg" alt="Beauty Clinic" style="max-width: 25%;" align="left"/><div>
<p>This is the implementation of an algorithm described in a paper by Rob Corless, Erik Postma and David Stoutemyer, entitled <em>Rounding coefficients and artificially underflowing terms in non-numeric</em> <em>expressions</em> and currently submitted for publication.</p>
<p>The algorithm takes a uni- or multivariate polynomial <em>p</em>(<em>z</em>), typically with approximate coefficients, and returns a polynomial <em>q</em>(<em>z</em>) such that |<em>p</em>(<em>z</em>) - <em>q</em>(<em>z</em>)|/|<em>p</em>(<em>z</em>)| is very small for all complex <em>z</em>, yet <em>q</em> may have fewer digits in its coefficients than <em>p</em> and even fewer terms overall. This makes the polynomial easier to deal with and to gain insight into for humans, while not affecting the polynomial as a complex function.</p>
</div>https://www.maplesoft.com/applications/view.aspx?SID=97879&ref=FeedSat, 16 Oct 2010 04:00:00 ZRob Corless, David StoutemyerRob Corless, David Stoutemyer