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КОШ КАТАР - Түзөтүүлөр тарыхы
2026-06-19T17:39:56Z
Уикидеги бул барактын өзгөртүү тарыхы
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Temirkan, 04:03, 11 Июнь (Кулжа) 2026 карата
2026-06-11T04:03:42Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Мурунку нускасы</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">04:03, 11 Июнь (Кулжа) 2026 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">1 сап:</td>
<td colspan="2" class="diff-lineno">1 сап:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><b type='title'>КОШ КАТАР</b> – чексиз матрицалардын l<i>B<sub>mn</i<del style="font-weight: bold; text-decoration: none;">></sub</del>>l(<i>m,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><b type='title'>КОШ КАТАР</b> – чексиз матрицалардын l<i>B<sub>mn</i>l(<i>m,</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>n</i>=1, 2 ...) элементтеринен түзүлгөн</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>n</i>=1, 2 ...) элементтеринен түзүлгөн</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><i>B</i><sub>11</sub>+<i>B</i><sub>12</sub>+...+ <i>B</i><sub>1</sub><sub><i>n</sub>+...</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><i>B</i><sub>11</sub>+<i>B</i><sub>12</sub>+...+ <i>B</i><sub>1</sub><sub><i>n</sub>+...</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">6 сап:</td>
<td colspan="2" class="diff-lineno">6 сап:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>B<sub>m</i></sub><sub>1</sub>+<i>B<sub>m</i></sub><sub>2</sub>+... +<i>B<sub>mn</sub>+...</i></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>B<sub>m</i></sub><sub>1</sub>+<i>B<sub>m</i></sub><sub>2</sub>+... +<i>B<sub>mn</sub>+...</i></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>. . . . . . . . . . . . . . .</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>. . . . . . . . . . . . . . .</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>түрүндөгү туюнтма. Бул элементтер сан (сандык <del style="font-weight: bold; text-decoration: none;">К. к.</del>), бир же бир нече өзгөрмөлүү функция (функционалдык <del style="font-weight: bold; text-decoration: none;">К. к.</del>) ж. б. болушу мүмкүн.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>түрүндөгү туюнтма. Бул элементтер сан (сандык <ins style="font-weight: bold; text-decoration: none;">кош катар</ins>), бир же бир нече өзгөрмөлүү функция (функционалдык <ins style="font-weight: bold; text-decoration: none;">кош катар</ins>) <ins style="font-weight: bold; text-decoration: none;"> </ins>ж. б. болушу мүмкүн. <ins style="font-weight: bold; text-decoration: none;">Кош катар </ins>кыскача <i>aij</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">00 00</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">К. к. </del>кыскача <i>aij</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>i</i>=1 <i>j</i>=1</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>i</i>=1 <i>j</i>=1</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>түрүндө жазылат. <del style="font-weight: bold; text-decoration: none;">К. к.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>түрүндө жазылат. <ins style="font-weight: bold; text-decoration: none;">Кош катар жөнүндөгү </ins>негизги аныктоолор катар аныктамасы&shy;на окшош (к. <i>Катар</i>). <ins style="font-weight: bold; text-decoration: none;">Кош катардын </ins>чектелген <ins style="font-weight: bold; text-decoration: none;">суммасы </ins><sup><i>S</sup><sup>mn = aij</sup></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">ж-дөгү </del>негизги аныктоолор катар аныктамасы&shy;на окшош (к. <i>Катар</i>). <del style="font-weight: bold; text-decoration: none;">К. к-дын </del>чектелген <del style="font-weight: bold; text-decoration: none;">сум-</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>i</i> =1 <i>j</i> =1 айрым сумма, ал эми <i>m</i> ж-а <i>n</i> бири биринен көз карандысыз чексизге умтулгандагы предел <i>S</i> = lim <i>m,n</i><ins style="font-weight: bold; text-decoration: none;">–Smn </ins>. <ins style="font-weight: bold; text-decoration: none;">Кош катардын суммасы </ins>деп аталат. 00</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><i>m n</i></del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><i>G</i> = <sup>00</sup></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">масы</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><i>j</i> =1 <i>amj</i> жыйналса, <i>i</i> =1 <sup><i>c</sup>n</i> катары сап <ins style="font-weight: bold; text-decoration: none;">боюнча </ins>кайталанма катар деп, ал эми суммасы <ins style="font-weight: bold; text-decoration: none;">кош катардын </ins>сап б-ча суммасы деп аталат. Мамыча <ins style="font-weight: bold; text-decoration: none;">кош катардын </ins>суммасы болсо, сап ж-а мамыча <ins style="font-weight: bold; text-decoration: none;">боюнча </ins>суммалары да болот ж-а алар бири бирине барабар.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><sup><i>S</sup><sup>mn = aij</sup></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>i</i> =1 <i>j</i> =1</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>айрым сумма, ал эми <i>m</i></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ж-а <i>n</i> бири биринен көз карандысыз чексизге</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>умтулгандагы предел <i>S</i> =</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>lim</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><i>m,n</i><del style="font-weight: bold; text-decoration: none;">–00</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Smn </del>. <del style="font-weight: bold; text-decoration: none;">К. к-дын сум-</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">масы </del>деп аталат.</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>00</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><i>G</i> = <sup>00</sup></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><i>j</i> =1</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><i>amj</i></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>жыйналса,</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><i>i</i> =1 <sup><i>c</sup>n</i></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>катары сап <del style="font-weight: bold; text-decoration: none;">б-ча </del>кайталанма катар деп,</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ал эми суммасы <del style="font-weight: bold; text-decoration: none;">К. к-дын </del>сап б-ча суммасы деп</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>аталат. Мамыча <del style="font-weight: bold; text-decoration: none;">К. к-дын </del>суммасы болсо, сап ж-а мамыча <del style="font-weight: bold; text-decoration: none;">б-ча </del>суммалары да болот ж-а алар бири бирине барабар.</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Категория:4-том, 497-546 бб]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Категория:4-том, 497-546 бб]]</div></td></tr>
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Temirkan
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vol4>KadyrM, 10:39, 9 Январь (Үчтүн айы) 2026 карата
2026-01-09T10:39:48Z
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Мурунку нускасы</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">10:39, 9 Январь (Үчтүн айы) 2026 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-notice" lang="ky"><div class="mw-diff-empty">(Айырма жок)</div>
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vol4>KadyrM
https://encyclopedia.edu.kg/index.php?title=%D0%9A%D0%9E%D0%A8_%D0%9A%D0%90%D0%A2%D0%90%D0%A0&diff=41651&oldid=prev
Kadyrm: 1 версия
2026-01-09T05:19:41Z
<p>1 версия</p>
<p><b>Жаңы барак</b></p><div><b type='title'>КОШ КАТАР</b> – чексиз матрицалардын l<i>B<sub>mn</i></sub>l(<i>m,<br />
n</i>=1, 2 ...) элементтеринен түзүлгөн<br />
<i>B</i><sub>11</sub>+<i>B</i><sub>12</sub>+...+ <i>B</i><sub>1</sub><sub><i>n</sub>+...<br />
B</i><sub>21</sub>+<i>B</i><sub>22</sub>+... +<i>B</i><sub>2</sub><sub><i>n</sub>+...<br />
. . . . . . . . . . . . . . .<br />
B<sub>m</i></sub><sub>1</sub>+<i>B<sub>m</i></sub><sub>2</sub>+... +<i>B<sub>mn</sub>+...</i><br />
. . . . . . . . . . . . . . .<br />
түрүндөгү туюнтма. Бул элементтер сан (сандык К. к.), бир же бир нече өзгөрмөлүү функция (функционалдык К. к.) ж. б. болушу мүмкүн.<br />
00 00<br />
К. к. кыскача <i>aij<br />
i</i>=1 <i>j</i>=1<br />
түрүндө жазылат. К. к.<br />
ж-дөгү негизги аныктоолор катар аныктамасы&shy;на окшош (к. <i>Катар</i>). К. к-дын чектелген сум-<br />
<i>m n</i><br />
масы<br />
<sup><i>S</sup><sup>mn = aij</sup><br />
i</i> =1 <i>j</i> =1<br />
айрым сумма, ал эми <i>m</i><br />
ж-а <i>n</i> бири биринен көз карандысыз чексизге<br />
умтулгандагы предел <i>S</i> =<br />
lim<br />
<i>m,n</i>–00<br />
Smn . К. к-дын сум-<br />
масы деп аталат.<br />
00<br />
<i>G</i> = <sup>00</sup><br />
<i>j</i> =1<br />
<i>amj</i><br />
жыйналса,<br />
<br />
<i>i</i> =1 <sup><i>c</sup>n</i><br />
катары сап б-ча кайталанма катар деп,<br />
<br />
ал эми суммасы К. к-дын сап б-ча суммасы деп<br />
аталат. Мамыча К. к-дын суммасы болсо, сап ж-а мамыча б-ча суммалары да болот ж-а алар бири бирине барабар.<br />
[[Категория:4-том, 497-546 бб]]<br />
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