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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<!-- 2024-05-16 Thu 01:05 -->
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<!-- 2024-05-17 pet 12:43 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>Kompotov programerski bralni krožek #1: SICP</title>
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<title>Kompotov programerski bralni krožek #1: SICP</title>
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<meta name="author" content="Yuri" />
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<meta name="generator" content="Org Mode" />
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<meta name="generator" content="Org Mode" />
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<style>
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#content { max-width: 60em; margin: auto; }
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#content { max-width: 60em; margin: auto; }
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<body>
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<body>
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<div id="content" class="content">
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<div id="content" class="content">
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<h1 class="title">Kompotov programerski bralni krožek #1: SICP</h1>
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<h1 class="title">Kompotov programerski bralni krožek #1: SICP</h1>
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<div class="footer" id="orgfbb157d">
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<div class="footer" id="orgc1028a9">
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<p>
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<p>
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Izvorna koda se nahaja na <a href="https://git.kompot.si/programerski-bralni-krozek/sicp">git.kompot.si</a>.
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Izvorna koda se nahaja na <a href="https://git.kompot.si/programerski-bralni-krozek/sicp">git.kompot.si</a>.
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</p>
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</p>
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@ -213,18 +214,53 @@ Za bralni krožek se dogovarjamo prek (javne) mailing liste, na katero se lahko
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</p>
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</p>
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<div id="org26b3051" class="figure">
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<div id="org1569423" class="figure">
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<p><img src="./tb.jpg" alt="tb.jpg" />
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<p><img src="./tb.jpg" alt="tb.jpg" />
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<div id="outline-container-org5195aa4" class="outline-2">
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<div id="outline-container-org14c9c4c" class="outline-2">
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<h2 id="org5195aa4">Srečanja</h2>
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<h2 id="org14c9c4c">Srečanja</h2>
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<div class="outline-text-2" id="text-org5195aa4">
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<div class="outline-text-2" id="text-org14c9c4c">
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<div id="outline-container-org8d56f70" class="outline-3">
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<div id="outline-container-org19a2e8a" class="outline-3">
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<h3 id="org8d56f70">#2: torek, 30. 4. 2024 18.45 v CTK</h3>
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<h3 id="org19a2e8a">#4: sreda, 29. 5. 2024 18.45 v CTK</h3>
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<div class="outline-text-3" id="text-org8d56f70">
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<div class="outline-text-3" id="text-org19a2e8a">
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<p>
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Dogodek je <a href="https://dogodki.kompot.si/events/0f3df86f-abc0-4725-bb4c-3587262a672c">tukaj</a>.
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Preglejujemo naloge iz prvega poglavja.
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</p>
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</div>
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</div>
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<div id="outline-container-org80c7d8b" class="outline-3">
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<h3 id="org80c7d8b">#3: četrtek, 16. 5. 2024 18.45 v CTK</h3>
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<div class="outline-text-3" id="text-org80c7d8b">
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<p>
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Kot ponavadi je dogodek na našem <a href="https://dogodki.kompot.si/events/8435c26d-4dbd-4e28-94c2-a237c837865d">mobilizonu</a>.
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</p>
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<p>
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Prebrali smo poglavje 1.3, razvijanje abstrakcij s postopki višjega reda.
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Ker vsebuje poglavje veliko vaj, za katere nismo našli časa, smo se odločili do naslednjič nadoknaditi zamujeno.
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Na srečanju smo skupaj reševali vajo 1.29.
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</p>
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</div>
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<div id="outline-container-org2e21a8d" class="outline-4">
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<h4 id="org2e21a8d">zapiski</h4>
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<div class="outline-text-4" id="text-org2e21a8d">
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<ul class="org-ul">
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<li><a href="zapiski/sicp-lio.html#MissingReference">lio</a></li>
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<li><a href="./zapiski/3_g1smo.scm">g1smo</a></li>
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</ul>
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</div>
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<div id="outline-container-org6a834f1" class="outline-3">
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<h3 id="org6a834f1">#2: torek, 30. 4. 2024 18.45 v CTK</h3>
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<div class="outline-text-3" id="text-org6a834f1">
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<p>
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<p>
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Dogodek je <a href="https://dogodki.kompot.si/events/8435c26d-4dbd-4e28-94c2-a237c837865d">tukaj</a>.
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Dogodek je <a href="https://dogodki.kompot.si/events/8435c26d-4dbd-4e28-94c2-a237c837865d">tukaj</a>.
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</p>
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</p>
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@ -234,21 +270,21 @@ Nadaljujemo z branjem poglavja 1.2, Procedures and the processes they generate.
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</p>
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</p>
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</div>
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<div id="outline-container-orgc07a296" class="outline-4">
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<div id="outline-container-orgb5dace1" class="outline-4">
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<h4 id="orgc07a296">zapiski</h4>
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<h4 id="orgb5dace1">zapiski</h4>
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<div class="outline-text-4" id="text-orgc07a296">
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<div class="outline-text-4" id="text-orgb5dace1">
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<ul class="org-ul">
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<ul class="org-ul">
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<li><a href="zapiski/sicp_1_2_tina.md">tina</a> (<a href="zapiski/sicp_1_2_tina.scm">vaje</a>, <a href="zapiski/sicp_sec_1_2.scm">druga varjanta</a>)</li>
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<li><a href="zapiski/sicp_1_2_tina.md">tina</a> (<a href="zapiski/sicp_1_2_tina.scm">vaje</a>, <a href="zapiski/sicp_sec_1_2.scm">druga varjanta</a>)</li>
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<li><a href="zapiski/sicp-lio.html">lio</a></li>
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<li><a href="zapiski/sicp-lio.html#MissingReference">lio</a></li>
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<li><a href="zapiski/2_g1smo.html">g1smo</a></li>
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<li><a href="zapiski/2_g1smo.html">g1smo</a></li>
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</ul>
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</ul>
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</div>
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<div id="outline-container-org0250b6a" class="outline-3">
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<div id="outline-container-org34051e2" class="outline-3">
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<h3 id="org0250b6a">#1: sreda, 17. 4. 2024 18.45 v CTK</h3>
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<h3 id="org34051e2">#1: sreda, 17. 4. 2024 18.45 v CTK</h3>
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<div class="outline-text-3" id="text-org0250b6a">
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<div class="outline-text-3" id="text-org34051e2">
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<p>
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<p>
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Beremo uvod in do poglavja 1.2, približno 30 strani.
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Beremo uvod in do poglavja 1.2, približno 30 strani.
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</p>
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</p>
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@ -258,9 +294,9 @@ Link do <a href="https://dogodki.kompot.si/events/76672075-1c6f-48f1-bc37-05dde9
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</p>
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</p>
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<div id="outline-container-orgcc0690f" class="outline-4">
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<div id="outline-container-orgaf97219" class="outline-4">
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<h4 id="orgcc0690f">zapiski</h4>
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<h4 id="orgaf97219">zapiski</h4>
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<div class="outline-text-4" id="text-orgcc0690f">
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<div class="outline-text-4" id="text-orgaf97219">
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<ul class="org-ul">
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<ul class="org-ul">
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<li><a href="zapiski/1_g1smo.html">g1smo</a></li>
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<li><a href="zapiski/1_g1smo.html">g1smo</a></li>
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<li><a href="zapiski/sicp-lio.html">lio</a></li>
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<li><a href="zapiski/sicp-lio.html">lio</a></li>
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@ -271,7 +307,8 @@ Link do <a href="https://dogodki.kompot.si/events/76672075-1c6f-48f1-bc37-05dde9
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</div>
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</div>
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</div>
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</div>
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<div id="postamble" class="status">
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<div id="postamble" class="status">
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<p class="date">Created: 2024-05-16 Thu 01:05</p>
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<p class="author">Author: Yuri</p>
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<p class="date">Created: 2024-05-17 pet 12:43</p>
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<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
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<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
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17
index.org
17
index.org
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@ -14,6 +14,21 @@ Za bralni krožek se dogovarjamo prek (javne) mailing liste, na katero se lahko
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[[file:./tb.jpg]]
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[[file:./tb.jpg]]
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* Srečanja
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* Srečanja
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** #4: sreda, 29. 5. 2024 18.45 v CTK
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Dogodek je [[https://dogodki.kompot.si/events/0f3df86f-abc0-4725-bb4c-3587262a672c][tukaj]].
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Preglejujemo naloge iz prvega poglavja.
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** #3: četrtek, 16. 5. 2024 18.45 v CTK
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Kot ponavadi je dogodek na našem [[https://dogodki.kompot.si/events/8435c26d-4dbd-4e28-94c2-a237c837865d][mobilizonu]].
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||||||
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Prebrali smo poglavje 1.3, razvijanje abstrakcij s postopki višjega reda.
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||||||
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Ker vsebuje poglavje veliko vaj, za katere nismo našli časa, smo se odločili do naslednjič nadoknaditi zamujeno.
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Na srečanju smo skupaj reševali vajo 1.29.
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*** zapiski
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- [[file+emacs:zapiski/sicp-lio.org::1.3 Sestavljanje abstrakcij s procedurami visjega reda][lio]]
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- [[file:./zapiski/3_g1smo.scm][g1smo]]
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** #2: torek, 30. 4. 2024 18.45 v CTK
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** #2: torek, 30. 4. 2024 18.45 v CTK
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Dogodek je [[https://dogodki.kompot.si/events/8435c26d-4dbd-4e28-94c2-a237c837865d][tukaj]].
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Dogodek je [[https://dogodki.kompot.si/events/8435c26d-4dbd-4e28-94c2-a237c837865d][tukaj]].
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@ -21,7 +36,7 @@ Nadaljujemo z branjem poglavja 1.2, Procedures and the processes they generate.
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*** zapiski
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*** zapiski
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- [[file:zapiski/sicp_1_2_tina.md][tina]] ([[file:zapiski/sicp_1_2_tina.scm][vaje]], [[file:zapiski/sicp_sec_1_2.scm][druga varjanta]])
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- [[file:zapiski/sicp_1_2_tina.md][tina]] ([[file:zapiski/sicp_1_2_tina.scm][vaje]], [[file:zapiski/sicp_sec_1_2.scm][druga varjanta]])
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- [[file+emacs:zapiski/sicp-lio.org][lio]]
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- [[file+emacs:zapiski/sicp-lio.org::1.2.2 Drevesna rekurzija][lio]]
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- [[file:zapiski/2_g1smo.org][g1smo]]
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- [[file:zapiski/2_g1smo.org][g1smo]]
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** #1: sreda, 17. 4. 2024 18.45 v CTK
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** #1: sreda, 17. 4. 2024 18.45 v CTK
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<title>‎</title>
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pre.src-processing:before { content: 'Processing.js'; }
|
||||||
|
pre.src-python:before { content: 'Python'; }
|
||||||
|
pre.src-R:before { content: 'R'; }
|
||||||
|
pre.src-ruby:before { content: 'Ruby'; }
|
||||||
|
pre.src-sass:before { content: 'Sass'; }
|
||||||
|
pre.src-scheme:before { content: 'Scheme'; }
|
||||||
|
pre.src-screen:before { content: 'Gnu Screen'; }
|
||||||
|
pre.src-sed:before { content: 'Sed'; }
|
||||||
|
pre.src-sh:before { content: 'shell'; }
|
||||||
|
pre.src-sql:before { content: 'SQL'; }
|
||||||
|
pre.src-sqlite:before { content: 'SQLite'; }
|
||||||
|
/* additional languages in org.el's org-babel-load-languages alist */
|
||||||
|
pre.src-forth:before { content: 'Forth'; }
|
||||||
|
pre.src-io:before { content: 'IO'; }
|
||||||
|
pre.src-J:before { content: 'J'; }
|
||||||
|
pre.src-makefile:before { content: 'Makefile'; }
|
||||||
|
pre.src-maxima:before { content: 'Maxima'; }
|
||||||
|
pre.src-perl:before { content: 'Perl'; }
|
||||||
|
pre.src-picolisp:before { content: 'Pico Lisp'; }
|
||||||
|
pre.src-scala:before { content: 'Scala'; }
|
||||||
|
pre.src-shell:before { content: 'Shell Script'; }
|
||||||
|
pre.src-ebnf2ps:before { content: 'ebfn2ps'; }
|
||||||
|
/* additional language identifiers per "defun org-babel-execute"
|
||||||
|
in ob-*.el */
|
||||||
|
pre.src-cpp:before { content: 'C++'; }
|
||||||
|
pre.src-abc:before { content: 'ABC'; }
|
||||||
|
pre.src-coq:before { content: 'Coq'; }
|
||||||
|
pre.src-groovy:before { content: 'Groovy'; }
|
||||||
|
/* additional language identifiers from org-babel-shell-names in
|
||||||
|
ob-shell.el: ob-shell is the only babel language using a lambda to put
|
||||||
|
the execution function name together. */
|
||||||
|
pre.src-bash:before { content: 'bash'; }
|
||||||
|
pre.src-csh:before { content: 'csh'; }
|
||||||
|
pre.src-ash:before { content: 'ash'; }
|
||||||
|
pre.src-dash:before { content: 'dash'; }
|
||||||
|
pre.src-ksh:before { content: 'ksh'; }
|
||||||
|
pre.src-mksh:before { content: 'mksh'; }
|
||||||
|
pre.src-posh:before { content: 'posh'; }
|
||||||
|
/* Additional Emacs modes also supported by the LaTeX listings package */
|
||||||
|
pre.src-ada:before { content: 'Ada'; }
|
||||||
|
pre.src-asm:before { content: 'Assembler'; }
|
||||||
|
pre.src-caml:before { content: 'Caml'; }
|
||||||
|
pre.src-delphi:before { content: 'Delphi'; }
|
||||||
|
pre.src-html:before { content: 'HTML'; }
|
||||||
|
pre.src-idl:before { content: 'IDL'; }
|
||||||
|
pre.src-mercury:before { content: 'Mercury'; }
|
||||||
|
pre.src-metapost:before { content: 'MetaPost'; }
|
||||||
|
pre.src-modula-2:before { content: 'Modula-2'; }
|
||||||
|
pre.src-pascal:before { content: 'Pascal'; }
|
||||||
|
pre.src-ps:before { content: 'PostScript'; }
|
||||||
|
pre.src-prolog:before { content: 'Prolog'; }
|
||||||
|
pre.src-simula:before { content: 'Simula'; }
|
||||||
|
pre.src-tcl:before { content: 'tcl'; }
|
||||||
|
pre.src-tex:before { content: 'TeX'; }
|
||||||
|
pre.src-plain-tex:before { content: 'Plain TeX'; }
|
||||||
|
pre.src-verilog:before { content: 'Verilog'; }
|
||||||
|
pre.src-vhdl:before { content: 'VHDL'; }
|
||||||
|
pre.src-xml:before { content: 'XML'; }
|
||||||
|
pre.src-nxml:before { content: 'XML'; }
|
||||||
|
/* add a generic configuration mode; LaTeX export needs an additional
|
||||||
|
(add-to-list 'org-latex-listings-langs '(conf " ")) in .emacs */
|
||||||
|
pre.src-conf:before { content: 'Configuration File'; }
|
||||||
|
|
||||||
|
table { border-collapse:collapse; }
|
||||||
|
caption.t-above { caption-side: top; }
|
||||||
|
caption.t-bottom { caption-side: bottom; }
|
||||||
|
td, th { vertical-align:top; }
|
||||||
|
th.org-right { text-align: center; }
|
||||||
|
th.org-left { text-align: center; }
|
||||||
|
th.org-center { text-align: center; }
|
||||||
|
td.org-right { text-align: right; }
|
||||||
|
td.org-left { text-align: left; }
|
||||||
|
td.org-center { text-align: center; }
|
||||||
|
dt { font-weight: bold; }
|
||||||
|
.footpara { display: inline; }
|
||||||
|
.footdef { margin-bottom: 1em; }
|
||||||
|
.figure { padding: 1em; }
|
||||||
|
.figure p { text-align: center; }
|
||||||
|
.equation-container {
|
||||||
|
display: table;
|
||||||
|
text-align: center;
|
||||||
|
width: 100%;
|
||||||
|
}
|
||||||
|
.equation {
|
||||||
|
vertical-align: middle;
|
||||||
|
}
|
||||||
|
.equation-label {
|
||||||
|
display: table-cell;
|
||||||
|
text-align: right;
|
||||||
|
vertical-align: middle;
|
||||||
|
}
|
||||||
|
.inlinetask {
|
||||||
|
padding: 10px;
|
||||||
|
border: 2px solid gray;
|
||||||
|
margin: 10px;
|
||||||
|
background: #ffffcc;
|
||||||
|
}
|
||||||
|
#org-div-home-and-up
|
||||||
|
{ text-align: right; font-size: 70%; white-space: nowrap; }
|
||||||
|
textarea { overflow-x: auto; }
|
||||||
|
.linenr { font-size: smaller }
|
||||||
|
.code-highlighted { background-color: #ffff00; }
|
||||||
|
.org-info-js_info-navigation { border-style: none; }
|
||||||
|
#org-info-js_console-label
|
||||||
|
{ font-size: 10px; font-weight: bold; white-space: nowrap; }
|
||||||
|
.org-info-js_search-highlight
|
||||||
|
{ background-color: #ffff00; color: #000000; font-weight: bold; }
|
||||||
|
.org-svg { }
|
||||||
|
</style>
|
||||||
|
</head>
|
||||||
|
<body>
|
||||||
|
<div id="content" class="content">
|
||||||
|
<p>
|
||||||
|
#lang scheme
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.9
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1. primer: rekurziven
|
||||||
|
;; (+ 4 5) = inc((inc(inc(inc(5)))) = inc((inc(inc(6))) = inc((inc(7)) = inc(8) = 9
|
||||||
|
;; 2. primer: iterativen
|
||||||
|
;; (+ 4 5):
|
||||||
|
;; (+ 3 6)
|
||||||
|
;; (+ 2 7)
|
||||||
|
;; (+ 1 8)
|
||||||
|
;; (+ 0 9)
|
||||||
|
;; 9
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.10
|
||||||
|
;; Ackermannova funkcija
|
||||||
|
;; <a href="https://en.wikipedia.org/wiki/Ackermann_function">https://en.wikipedia.org/wiki/Ackermann_function</a> - tukaj malo drugacna definicija, mislim, da se indeksiranje premakne za 3
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define (A x y)
|
||||||
|
( cond ((= y 0 ) 0 )
|
||||||
|
(( = x 0 ) ( * 2 y))
|
||||||
|
((= y 1 ) 2 )
|
||||||
|
( else (A ( - x 1 )
|
||||||
|
( A x ( - y 1 ) ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(A 1 10 )
|
||||||
|
(A 2 4)
|
||||||
|
(A 3 3)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; (f n) = 2*n
|
||||||
|
;; (g n) = 2<sup>n</sup>
|
||||||
|
;; (h n) =
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
(define (fib n)
|
||||||
|
( cond (( = n 0 ) 0)
|
||||||
|
(( = n 1) 1 )
|
||||||
|
( else ( + ( fib ( - n 1 ) )
|
||||||
|
( fib ( - n 2 ) ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(fib 10)
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.11
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; rekurzivno
|
||||||
|
(define (f-rec n)
|
||||||
|
( cond (( < n 3 ) n)
|
||||||
|
( else ( + (f-rec ( - n 1 )) (* 2 (f-rec (- n 2))) (* 3 (f-rec (- n 3)))))))
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(f-rec 6)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
( define (fib2 n)
|
||||||
|
( fib-iter 1 0 n) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( fib-iter a b count )
|
||||||
|
( if (= count 0 )
|
||||||
|
b
|
||||||
|
( fib-iter (+ a b) a ( - count 1 ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(fib2 10)
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; iterativno
|
||||||
|
( define (f2 n)
|
||||||
|
( f-iter n (if (< n 2) n 2)) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( f-iter max-count sum)
|
||||||
|
( if (< max-count 3 )
|
||||||
|
max-count
|
||||||
|
(+ (f-iter (- max-count 1) sum) (* 2 (f-iter (- max-count 2) sum )) (* 3 (f-iter (- max-count 3) sum )))))
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(f2 6)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.12
|
||||||
|
(define (pascal r c)
|
||||||
|
(if (or (= r 0) (= c 1) (= c r))
|
||||||
|
1
|
||||||
|
(+ (pascal (- r 1) c) (pascal (- r 1) (- c 1)))))
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(pascal 5 3)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.13 na papirju
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.14 na papirju
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
( define ( count-change amount )
|
||||||
|
( cc amount 5 ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( cc amount kinds-of-coins )
|
||||||
|
( cond (( = amount 0) 1 )
|
||||||
|
(( or (< amount 0 ) ( = kinds-of-coins 0 ) ) 0 )
|
||||||
|
( else (+ ( cc amount
|
||||||
|
( - kinds-of-coins 1 ) )
|
||||||
|
( cc ( - amount
|
||||||
|
( first-denomination kinds-of-coins ) )
|
||||||
|
kinds-of-coins ) ) ) ) )
|
||||||
|
(define ( first-denomination kinds-of-coins)
|
||||||
|
( cond (( = kinds-of-coins 1 ) 1)
|
||||||
|
(( = kinds-of-coins 2 ) 5)
|
||||||
|
(( = kinds-of-coins 3) 10 )
|
||||||
|
(( = kinds-of-coins 4) 25 )
|
||||||
|
(( = kinds-of-coins 5 ) 50) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( count-change 11)
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
(define (square x) (* x x))
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( even? n)
|
||||||
|
(= (remainder n 2 ) 0 ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( fast-expt b n)
|
||||||
|
( cond ( (= n 0 ) 1 )
|
||||||
|
( ( even? n ) ( square ( fast-expt b ( / n 2 ) ) ) )
|
||||||
|
( else ( * b ( fast-expt b ( - n 1 ) ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(fast-expt 2 5)
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.15
|
||||||
|
;; a) 5
|
||||||
|
;; b) O(log n) (?)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.16
|
||||||
|
( define ( fast-exp-iter n b a )
|
||||||
|
( if (= n 0 )
|
||||||
|
a
|
||||||
|
(if (even? n) (fast-exp-iter ( / n 2 ) (square b) a ) ( * b ( fast-exp-iter ( - n 1 ) (* a b) a ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(fast-exp-iter 10 2 1 )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.17
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
(define (mult a b)
|
||||||
|
(if (= b 0)
|
||||||
|
0
|
||||||
|
(+ a (mult a (- b 1 ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(mult 3 4)
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; naloga
|
||||||
|
(define (double x) (+ x x))
|
||||||
|
(define (halve x) (/ x 2)) ;; a bi to moralo biti kako drugace; zakaj uporabljam deljenje pri implementaciji mnozenja s sestevanjem
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( fast-mult a b)
|
||||||
|
( cond ( (= b 0 ) 0 )
|
||||||
|
( ( even? b ) ( double ( fast-mult a (halve b) ) ) )
|
||||||
|
( else ( + a ( fast-mult a ( - b 1 ) ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(fast-mult 8 7)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.18
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define ( fast-mult-iter b a c)
|
||||||
|
( if (= b 0 )
|
||||||
|
0
|
||||||
|
(if (even? b) (fast-mult-iter (halve b) (double a) c ) ( + a ( fast-mult-iter ( - b 1 ) a c ) ) ) ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(fast-mult-iter 18 10 0 )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.21
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
( define ( smallest-divisor n)
|
||||||
|
( find-divisor n 2 ) )
|
||||||
|
( define (find-divisor n test-divisor)
|
||||||
|
( cond (( > ( square test-divisor) n) n)
|
||||||
|
(( divides? test-divisor n) test-divisor)
|
||||||
|
(else ( find-divisor n (+ test-divisor 1 ) ) ) ) )
|
||||||
|
( define (divides? a b )
|
||||||
|
(= (remainder b a) 0 ) )
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(smallest-divisor 19999)
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
( define (prime? n)
|
||||||
|
(= n ( smallest-divisor n) ) )
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.22
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(define (runtime) (current-milliseconds)) ;; brez tega error: runtime: unbound identifier in: runtime
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;;;; iz knjige
|
||||||
|
;;;;
|
||||||
|
(define (timed-prime-test n)
|
||||||
|
(newline)
|
||||||
|
(display n)
|
||||||
|
(start-prime-test n (runtime)))
|
||||||
|
(define (start-prime-test n start-time)
|
||||||
|
(if (prime? n)
|
||||||
|
(report-prime (- (runtime) start-time)) -1))
|
||||||
|
(define (report-prime elapsed-time)
|
||||||
|
(display "<b>*</b>" )
|
||||||
|
(display elapsed-time))
|
||||||
|
;;;;
|
||||||
|
;;;;
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
(timed-prime-test 87178291199) ;; 35742549198872617291353508656626642567
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; <a href="https://en.wikipedia.org/wiki/List_of_prime_numbers">https://en.wikipedia.org/wiki/List_of_prime_numbers</a>
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<p>
|
||||||
|
;; 1.26
|
||||||
|
;; ker se s klicanjem (/ exp 2) v navadnem mnozenju parameter exp ne razpolovi v naslednjem koraku ?</p>
|
||||||
|
</div>
|
||||||
|
<div id="postamble" class="status">
|
||||||
|
<p class="author">Author: Yuri</p>
|
||||||
|
<p class="date">Created: 2024-04-30 tor 19:39</p>
|
||||||
|
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||||
|
</div>
|
||||||
|
</body>
|
||||||
|
</html>
|
||||||
Loading…
Reference in New Issue