http://wiki.varhoo.cz/index.php?action=history&feed=atom&title=MAT 2026-05-06T14:32:36Z Historie editací této stránky MediaWiki 1.19.20+dfsg-0+deb7u3 http://wiki.varhoo.cz/index.php?title=MAT&diff=2587&oldid=prev 2012-01-30T09:19:09Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 30. 1. 2012, 09:19</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 54:</td> <td colspan="2" class="diff-lineno">Řádka 54:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>Otevřená koule v metrickém prostoru je určena g(x,x_o) &lt; r (tedy koule bez "obalu")</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>Otevřená koule v metrickém prostoru je určena g(x,x_o) &lt; r (tedy koule bez "obalu")</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>==materiály==</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div># http://www.math.fme.vutbr.cz/default.aspx?catalog=3&amp;catsrtext=11&amp;catsrfield=38</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div># http://www.fit.vutbr.cz/~masopust/MAT/.en</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2586&oldid=prev 2012-01-29T23:31:50Z

<p>‎<span dir="auto"><span class="autocomment">Metrické prostory</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 29. 1. 2012, 23:31</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 52:</td> <td colspan="2" class="diff-lineno">Řádka 52:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí symtrie g(x,y) = g(y,x)</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí symtrie g(x,y) = g(y,x)</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y,z platí g(x,y) + g(y,z) &gt;= g(x,z)</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y,z platí g(x,y) + g(y,z) &gt;= g(x,z)</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>Otevřená koule v metrickém prostoru je určena g(x,x_o) &lt; r (tedy koule bez "obalu")</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2585&oldid=prev 2012-01-29T20:12:17Z

<p>‎<span dir="auto"><span class="autocomment">Logika</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 29. 1. 2012, 20:12</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 17:</td> <td colspan="2" class="diff-lineno">Řádka 17:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div>* pravidlo odloučení (modus ponens)</div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo odloučení (modus ponens)<span class="diffchange diffchange-inline"> "pokud je A tautologií, (A -&gt; B) je taky tautologií) pak B je taky tautologií"</span></div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo zobecnění (generalizace) G: A |– pro všechna x A </div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo zobecnění (generalizace) G: A |– pro všechna x A </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* věda o dedukci</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* věda o dedukci</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2560&oldid=prev 2012-01-24T16:24:52Z

<p>‎<span dir="auto"><span class="autocomment">Logika</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 16:24</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 18:</td> <td colspan="2" class="diff-lineno">Řádka 18:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo odloučení (modus ponens)</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo odloučení (modus ponens)</div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div>* pravidlo zobecnění (generalizace) G: A |– <span class="diffchange diffchange-inline">provsechna</span> x A </div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo zobecnění (generalizace) G: A |– <span class="diffchange diffchange-inline">pro všechna</span> x A </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* věda o dedukci</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* věda o dedukci</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2559&oldid=prev 2012-01-24T16:24:24Z

<p>‎<span dir="auto"><span class="autocomment">Logika</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 16:24</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 17:</td> <td colspan="2" class="diff-lineno">Řádka 17:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div>* pravidlo odloučení</div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo odloučení<span class="diffchange diffchange-inline"> (modus ponens)</span></div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div>* pravidlo zobecnění </div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo zobecnění<span class="diffchange diffchange-inline"> (generalizace) G: A |– provsechna x A</span> </div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div>* věda o dedukci<span class="diffchange diffchange-inline"> </span></div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* věda o dedukci</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>== Algebra ==</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>== Algebra ==</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2558&oldid=prev 2012-01-24T16:10:34Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 16:10</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 9:</td> <td colspan="2" class="diff-lineno">Řádka 9:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>== Logika ==</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>== Logika ==</div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div><span class="diffchange diffchange-inline">1.</span> axiom </div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div><span class="diffchange diffchange-inline">#</span> axiom </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div> A -&gt; (B -&gt; A)</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div> A -&gt; (B -&gt; A)</div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div><span class="diffchange diffchange-inline">2.</span> axiom </div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div><span class="diffchange diffchange-inline">#</span> axiom </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div> (A -&gt; (B -&gt; C)) -&gt; ((A -&gt; B) -&gt; (A -&gt; C))</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div> (A -&gt; (B -&gt; C)) -&gt; ((A -&gt; B) -&gt; (A -&gt; C))</div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div><span class="diffchange diffchange-inline">3.</span> axiom </div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div><span class="diffchange diffchange-inline">#</span> axiom </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div> (not(B) -&gt; not(A)) -&gt; (A -&gt; B)</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div> (not(B) -&gt; not(A)) -&gt; (A -&gt; B)</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo substituce </div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo odloučení</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* pravidlo zobecnění </div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* věda o dedukci </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>== Algebra ==</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>== Algebra ==</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2557&oldid=prev 2012-01-24T12:51:20Z

<p>‎<span dir="auto"><span class="autocomment">Metrické prostory</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 12:51</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 46:</td> <td colspan="2" class="diff-lineno">Řádka 46:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí g(x,y) = 0 =&gt; x = y</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí g(x,y) = 0 =&gt; x = y</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí symtrie g(x,y) = g(y,x)</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí symtrie g(x,y) = g(y,x)</div></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div># pro každé x,y,z platí g(x,y) + g(y,<span class="diffchange diffchange-inline">x</span>) &gt;= g(x,z)</div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div># pro každé x,y,z platí g(x,y) + g(y,<span class="diffchange diffchange-inline">z</span>) &gt;= g(x,z)</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2556&oldid=prev 2012-01-24T12:50:05Z

<p>‎<span dir="auto"><span class="autocomment">Metrické protory</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 12:50</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 42:</td> <td colspan="2" class="diff-lineno">Řádka 42:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* Uspořádání - Reflexivní, Antisymetrická, Transitivní</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* Uspořádání - Reflexivní, Antisymetrická, Transitivní</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">−</td> <td style="background: #ffa; color:black; font-size: smaller;"><div>==Metrické <span class="diffchange diffchange-inline">protory</span>==</div></td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>==Metrické <span class="diffchange diffchange-inline">prostory</span>==</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>lze určit vzdálnost dvou prvků množiny X</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>lze určit vzdálnost dvou prvků množiny X</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí g(x,y) = 0 =&gt; x = y</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div># pro každé x,y platí g(x,y) = 0 =&gt; x = y</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2555&oldid=prev 2012-01-24T12:49:51Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 12:49</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 41:</td> <td colspan="2" class="diff-lineno">Řádka 41:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* Ekvivalence - Reflexivní, Symtetrická, Transtivní</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* Ekvivalence - Reflexivní, Symtetrická, Transtivní</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* Uspořádání - Reflexivní, Antisymetrická, Transitivní</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* Uspořádání - Reflexivní, Antisymetrická, Transitivní</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>==Metrické protory==</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>lze určit vzdálnost dvou prvků množiny X</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div># pro každé x,y platí g(x,y) = 0 =&gt; x = y</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div># pro každé x,y platí symtrie g(x,y) = g(y,x)</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div># pro každé x,y,z platí g(x,y) + g(y,x) &gt;= g(x,z)</div></td> </tr> </table>

Pajinek http://wiki.varhoo.cz/index.php?title=MAT&diff=2554&oldid=prev 2012-01-24T12:40:07Z

<p>‎<span dir="auto"><span class="autocomment">Algebra</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 24. 1. 2012, 12:40</td> </tr><tr> <td colspan="2" class="diff-lineno">Řádka 29:</td> <td colspan="2" class="diff-lineno">Řádka 29:</td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>** '''Komutativná těleso'''</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>** '''Komutativná těleso'''</div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* '''Obor integrity'''</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>* '''Obor integrity'''</div></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"></td> </tr> <tr> <td colspan="2" class="diff-empty">&#160;</td> <td class="diff-marker">+</td> <td style="background: #cfc; color:black; font-size: smaller;"><div>* '''Svaz''' - dvě binárními operacemi, které jsou komutativní, asociativní, idempotentní (tj. a n a = a = a v a ) a platí tzv. absorbce, tj. a v (a n b) = a = a n (a v b). </div></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"></td> </tr> <tr> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>Pokud se pravý a levý rozklad grupy xH a Hx rovná, tak je grupa abelovská (komutativní).</div></td> <td class="diff-marker">&#160;</td> <td style="background: #eee; color:black; font-size: smaller;"><div>Pokud se pravý a levý rozklad grupy xH a Hx rovná, tak je grupa abelovská (komutativní).</div></td> </tr> </table>

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