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<div class="ChapSects"><a href="chap1_mj.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X786BACDB82918A65">1.1 <span class="Heading">Overview over this manual</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X8360C04082558A12">1.2 <span class="Heading">Installation</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X80D704CC7EBFDF7A">1.3 <span class="Heading">Feedback</span></a>
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<h3>1 <span class="Heading">Introduction</span></h3>

<p><strong class="pkg">Thelma</strong> stands for ``THreshold ELements, Modelling and Applications". This package is dedicated to realization of Boolean functions by the means of the threshold elements and multilayered perceptrons. Threshold elements were introduced in [MP43]. A certain number of articles on threshold logic appeared in 60-s and 70-s, however this field is regaining a considerable interest nowadays as well (see [HST16],[Hor94], [GVKB11], [KYSV16], e.t.c).



<p>We mostly refer to the methods proposed in <a href="chapBib_mj.html#biBGecheBovdi80">[ABGG80]</a>, <a href="chapBib_mj.html#biBGecheRobotyshyn83">[GPR83]</a>, <a href="chapBib_mj.html#biBGecheMulesa2017">[GMB17]</a>, and <a href="chapBib_mj.html#biBDertouzos65">[Der65]</a>.</p>

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<h4>1.1 <span class="Heading">Overview over this manual</span></h4>

<p>Chapter <a href="chap3_mj.html#X83DFEF607CDA3594"><span class="RefLink">3</span></a> describes the functions operating with the threshold elements. They include the basic operations, the functions that verify the realizability of a given Boolean function by a single threshold element, and some iterative methods. Chapter <a href="chap4_mj.html#X7BA69E617DE465FE"><span class="RefLink">4</span></a> describes the functions for neural networks, built from the threshold elements.</p>

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<h4>1.2 <span class="Heading">Installation</span></h4>

<p>To get the newest version of this <strong class="pkg">GAP</strong> 4 package download the archive file <code class="file">thelma-x.x.tar.gz</code> and unpack it in a directory called "pkg", preferably (but not necessarily) in the "pkg" subdirectory of your <strong class="pkg">GAP</strong> 4 installation. It creates a subdirectory called "thelma".</p>

<p>As <strong class="pkg">Thelma</strong> has no additional C libraries, there is no need in any additional installation steps.</p>

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<h4>1.3 <span class="Heading">Feedback</span></h4>

<p>For bug reports, feature requests and suggestions, please use the github issue tracker at <span class="URL"><a href="https://github.com/gap-packages/Thelma/issues">https://github.com/gap-packages/Thelma/issues</a></span>.</p>


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