https://wiki.cs.hse.ru/index.php?action=history&feed=atom&title=LAaG_DSBA_2023%2F2024 2026-09-20T21:55:22Z История изменений этой страницы в вики MediaWiki 1.43.9 https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=85179&oldid=prev 2024-05-31T14:48:48Z

<p><span class="autocomment">The homework for group 231:</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 14:48, 31 мая 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l144">Строка 144:</td> <td colspan="2" class="diff-lineno">Строка 144:</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>=== The homework for group 231: ===</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>=== The homework for group 231: ===</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>* [https://www.dropbox.com/scl/fi/23odxd5qnwbmrzem1j6t4/LAaG_HW_31_C-231.pdf?rlkey=b8gau8mww03fso9xhxupo78x8&amp;st=h8hk4f8c&amp;dl=0 '''HW <del style="font-weight: bold; text-decoration: none;">30</del>'''] (release: 31.05.24; deadline: 09.06.24)</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>* [https://www.dropbox.com/scl/fi/23odxd5qnwbmrzem1j6t4/LAaG_HW_31_C-231.pdf?rlkey=b8gau8mww03fso9xhxupo78x8&amp;st=h8hk4f8c&amp;dl=0 '''HW <ins style="font-weight: bold; text-decoration: none;">31</ins>'''] (release: 31.05.24; deadline: 09.06.24)</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;"><br></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;"><br></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>* [https://www.dropbox.com/scl/fi/d3fnlfuwesdjda4m60mj0/LAaG_HW_30_C-231.pdf?rlkey=zegkwdipuwudvem9z93by0o0x&amp;st=gu8d8fp6&amp;dl=0 &#039;&#039;&#039;HW 30&#039;&#039;&#039;] (release: 18.05.24; deadline: 02.06.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/jyfmt4xlt2bq9bjq5ly3z/LAaG_Sem_30.pdf?rlkey=t7o79frfjwz3xnjg7jkby9ctc&amp;st=1d4qilyt&amp;dl=0 seminar notes])&lt;/small&gt;</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>* [https://www.dropbox.com/scl/fi/d3fnlfuwesdjda4m60mj0/LAaG_HW_30_C-231.pdf?rlkey=zegkwdipuwudvem9z93by0o0x&amp;st=gu8d8fp6&amp;dl=0 &#039;&#039;&#039;HW 30&#039;&#039;&#039;] (release: 18.05.24; deadline: 02.06.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/jyfmt4xlt2bq9bjq5ly3z/LAaG_Sem_30.pdf?rlkey=t7o79frfjwz3xnjg7jkby9ctc&amp;st=1d4qilyt&amp;dl=0 seminar notes])&lt;/small&gt;</div></td></tr> <!-- diff cache key wiki_cs:diff:1.41:old-85178:rev-85179:php=table --> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=85178&oldid=prev 2024-05-31T14:48:36Z

<p><span class="autocomment">The homework for group 231:</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 14:48, 31 мая 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l144">Строка 144:</td> <td colspan="2" class="diff-lineno">Строка 144:</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>=== The homework for group 231: ===</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>=== The homework for group 231: ===</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/scl/fi/23odxd5qnwbmrzem1j6t4/LAaG_HW_31_C-231.pdf?rlkey=b8gau8mww03fso9xhxupo78x8&amp;st=h8hk4f8c&amp;dl=0 '''HW 30'''] (release: 31.05.24; deadline: 09.06.24)</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/scl/fi/d3fnlfuwesdjda4m60mj0/LAaG_HW_30_C-231.pdf?rlkey=zegkwdipuwudvem9z93by0o0x&amp;st=gu8d8fp6&amp;dl=0 &#039;&#039;&#039;HW 30&#039;&#039;&#039;] (release: 18.05.24; deadline: 02.06.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/jyfmt4xlt2bq9bjq5ly3z/LAaG_Sem_30.pdf?rlkey=t7o79frfjwz3xnjg7jkby9ctc&amp;st=1d4qilyt&amp;dl=0 seminar notes])&lt;/small&gt;</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>* [https://www.dropbox.com/scl/fi/d3fnlfuwesdjda4m60mj0/LAaG_HW_30_C-231.pdf?rlkey=zegkwdipuwudvem9z93by0o0x&amp;st=gu8d8fp6&amp;dl=0 &#039;&#039;&#039;HW 30&#039;&#039;&#039;] (release: 18.05.24; deadline: 02.06.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/jyfmt4xlt2bq9bjq5ly3z/LAaG_Sem_30.pdf?rlkey=t7o79frfjwz3xnjg7jkby9ctc&amp;st=1d4qilyt&amp;dl=0 seminar notes])&lt;/small&gt;</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;"><br></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;"><br></td></tr> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=85159&oldid=prev 2024-05-29T20:40:02Z

<p><span class="autocomment">Lecture Notes</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 20:40, 29 мая 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l74">Строка 74:</td> <td colspan="2" class="diff-lineno">Строка 74:</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;"><br></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;"><br></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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/s/zkamg2rgrxv7vey/LAaG_Lecture_32.pdf?dl=0 '''Lecture 32'''] (30.05.2024) Orientation on a vector space; the cross product; main properties of the cross product. </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/s/ax8ls68q7cfxm3q/LAaG_Lecture_31.pdf?dl=0 &#039;&#039;&#039;Lecture 31&#039;&#039;&#039;] (23.05.2024) The distance and the volume in Euclidean spaces; the distance between two subsets of a Euclidean space; the volume of a paralleletop.</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>* [https://www.dropbox.com/s/ax8ls68q7cfxm3q/LAaG_Lecture_31.pdf?dl=0 &#039;&#039;&#039;Lecture 31&#039;&#039;&#039;] (23.05.2024) The distance and the volume in Euclidean spaces; the distance between two subsets of a Euclidean space; the volume of a paralleletop.</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;"><br></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;"><br></td></tr> <!-- diff cache key wiki_cs:diff:1.41:old-85083:rev-85159:php=table --> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=85083&oldid=prev 2024-05-22T22:48:46Z

<p><span class="autocomment">Lecture Notes</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 22:48, 22 мая 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l74">Строка 74:</td> <td colspan="2" class="diff-lineno">Строка 74:</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;"><br></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;"><br></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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/s/ax8ls68q7cfxm3q/LAaG_Lecture_31.pdf?dl=0 '''Lecture 31'''] (23.05.2024) The distance and the volume in Euclidean spaces; the distance between two subsets of a Euclidean space; the volume of a paralleletop.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/s/km7z6bed527pfgm/LAaG_Lecture_30.pdf?dl=0 &#039;&#039;&#039;Lecture 30&#039;&#039;&#039;] (16.05.2024) Orthogonality in Euclidian spaces; orthogonal and orthonormal sets and bases; Gram-Schmidt process; the orthogonal complement and its main properties; the projection and the rejection of a vector.</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>* [https://www.dropbox.com/s/km7z6bed527pfgm/LAaG_Lecture_30.pdf?dl=0 &#039;&#039;&#039;Lecture 30&#039;&#039;&#039;] (16.05.2024) Orthogonality in Euclidian spaces; orthogonal and orthonormal sets and bases; Gram-Schmidt process; the orthogonal complement and its main properties; the projection and the rejection of a vector.</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;"><br></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;"><br></td></tr> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=85040&oldid=prev 2024-05-18T12:02:08Z

<p><span class="autocomment">The homework for group 231:</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 12:02, 18 мая 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l140">Строка 140:</td> <td colspan="2" class="diff-lineno">Строка 140:</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>=== The homework for group 231: ===</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>=== The homework for group 231: ===</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/scl/fi/d3fnlfuwesdjda4m60mj0/LAaG_HW_30_C-231.pdf?rlkey=zegkwdipuwudvem9z93by0o0x&amp;st=gu8d8fp6&amp;dl=0 '''HW 30'''] (release: 18.05.24; deadline: 02.06.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/jyfmt4xlt2bq9bjq5ly3z/LAaG_Sem_30.pdf?rlkey=t7o79frfjwz3xnjg7jkby9ctc&amp;st=1d4qilyt&amp;dl=0 seminar notes])&lt;/small&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/scl/fi/5lobouu3y75f0d9slxd5d/LAaG_HW_29_C-231.pdf?rlkey=2b20gr4h00twqxccueiek03nt&amp;st=5bcbfc72&amp;dl=0 &#039;&#039;&#039;HW 29&#039;&#039;&#039;] (release: 25.04.24; deadline: 05.05.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/hjjmswgp898c6i4vb3liy/LAaG_Seminar_29.pdf?rlkey=ugufxdman6d871ldg5wsxi915&amp;st=sykwr78j&amp;dl=0 seminar notes])&lt;/small&gt;</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>* [https://www.dropbox.com/scl/fi/5lobouu3y75f0d9slxd5d/LAaG_HW_29_C-231.pdf?rlkey=2b20gr4h00twqxccueiek03nt&amp;st=5bcbfc72&amp;dl=0 &#039;&#039;&#039;HW 29&#039;&#039;&#039;] (release: 25.04.24; deadline: 05.05.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/hjjmswgp898c6i4vb3liy/LAaG_Seminar_29.pdf?rlkey=ugufxdman6d871ldg5wsxi915&amp;st=sykwr78j&amp;dl=0 seminar notes])&lt;/small&gt;</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;"><br></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;"><br></td></tr> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=85013&oldid=prev 2024-05-15T13:08:49Z

<p><span class="autocomment">Lecture Notes</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 13:08, 15 мая 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l74">Строка 74:</td> <td colspan="2" class="diff-lineno">Строка 74:</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;"><br></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;"><br></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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/s/km7z6bed527pfgm/LAaG_Lecture_30.pdf?dl=0 '''Lecture 30'''] (16.05.2024) Orthogonality in Euclidian spaces; orthogonal and orthonormal sets and bases; Gram-Schmidt process; the orthogonal complement and its main properties; the projection and the rejection of a vector.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/s/6wn3z42bzvrg5or/LAaG_Lecture_29.pdf?dl=0 &#039;&#039;&#039;Lecture 29&#039;&#039;&#039;] (25.04.2024) Euclidean spaces; scalar product; the norm of a vector; Cauchy–Schwarz inequality; the angle between two vectors; the Gram matrix and its main properties.</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>* [https://www.dropbox.com/s/6wn3z42bzvrg5or/LAaG_Lecture_29.pdf?dl=0 &#039;&#039;&#039;Lecture 29&#039;&#039;&#039;] (25.04.2024) Euclidean spaces; scalar product; the norm of a vector; Cauchy–Schwarz inequality; the angle between two vectors; the Gram matrix and its main properties.</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;"><br></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;"><br></td></tr> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=84854&oldid=prev 2024-04-25T23:02:19Z

<p><span class="autocomment">The homework for group 231:</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 23:02, 25 апреля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l138">Строка 138:</td> <td colspan="2" class="diff-lineno">Строка 138:</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>=== The homework for group 231: ===</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>=== The homework for group 231: ===</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>* [https://www.dropbox.com/scl/fi/5lobouu3y75f0d9slxd5d/LAaG_HW_29_C-231.pdf?rlkey=2b20gr4h00twqxccueiek03nt&amp;st=5bcbfc72&amp;dl=0 '''HW <del style="font-weight: bold; text-decoration: none;">28</del>'''] (release: 25.04.24; deadline: 05.05.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/hjjmswgp898c6i4vb3liy/LAaG_Seminar_29.pdf?rlkey=ugufxdman6d871ldg5wsxi915&amp;st=sykwr78j&amp;dl=0 seminar notes])&lt;/small&gt;</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>* [https://www.dropbox.com/scl/fi/5lobouu3y75f0d9slxd5d/LAaG_HW_29_C-231.pdf?rlkey=2b20gr4h00twqxccueiek03nt&amp;st=5bcbfc72&amp;dl=0 '''HW <ins style="font-weight: bold; text-decoration: none;">29</ins>'''] (release: 25.04.24; deadline: 05.05.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/hjjmswgp898c6i4vb3liy/LAaG_Seminar_29.pdf?rlkey=ugufxdman6d871ldg5wsxi915&amp;st=sykwr78j&amp;dl=0 seminar notes])&lt;/small&gt;</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;"><br></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;"><br></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>* [https://www.dropbox.com/scl/fi/7b2b81k8cujg9ewb9y17g/LAaG_HW_28_C-231.pdf?rlkey=r94ks57xsjfq3br1ak01ohjoc&amp;st=4cpwr5v9&amp;dl=0 &#039;&#039;&#039;HW 28&#039;&#039;&#039;] (release: 18.04.24; deadline: 28.04.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/wo97aeyi4qevz1zxvox22/LAaG_Seminar_28.pdf?rlkey=ictgac9ks1ajrmxc56uejmxuw&amp;st=4vl8abve&amp;dl=0 seminar notes])&lt;/small&gt;</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>* [https://www.dropbox.com/scl/fi/7b2b81k8cujg9ewb9y17g/LAaG_HW_28_C-231.pdf?rlkey=r94ks57xsjfq3br1ak01ohjoc&amp;st=4cpwr5v9&amp;dl=0 &#039;&#039;&#039;HW 28&#039;&#039;&#039;] (release: 18.04.24; deadline: 28.04.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/wo97aeyi4qevz1zxvox22/LAaG_Seminar_28.pdf?rlkey=ictgac9ks1ajrmxc56uejmxuw&amp;st=4vl8abve&amp;dl=0 seminar notes])&lt;/small&gt;</div></td></tr> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=84853&oldid=prev 2024-04-25T23:02:07Z

<p><span class="autocomment">The homework for group 231:</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 23:02, 25 апреля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l138">Строка 138:</td> <td colspan="2" class="diff-lineno">Строка 138:</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>=== The homework for group 231: ===</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>=== The homework for group 231: ===</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</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>&#039;&#039;&#039;Module 4&#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/scl/fi/5lobouu3y75f0d9slxd5d/LAaG_HW_29_C-231.pdf?rlkey=2b20gr4h00twqxccueiek03nt&amp;st=5bcbfc72&amp;dl=0 '''HW 28'''] (release: 25.04.24; deadline: 05.05.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/hjjmswgp898c6i4vb3liy/LAaG_Seminar_29.pdf?rlkey=ugufxdman6d871ldg5wsxi915&amp;st=sykwr78j&amp;dl=0 seminar notes])&lt;/small&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/scl/fi/7b2b81k8cujg9ewb9y17g/LAaG_HW_28_C-231.pdf?rlkey=r94ks57xsjfq3br1ak01ohjoc&amp;st=4cpwr5v9&amp;dl=0 &#039;&#039;&#039;HW 28&#039;&#039;&#039;] (release: 18.04.24; deadline: 28.04.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/wo97aeyi4qevz1zxvox22/LAaG_Seminar_28.pdf?rlkey=ictgac9ks1ajrmxc56uejmxuw&amp;st=4vl8abve&amp;dl=0 seminar notes])&lt;/small&gt;</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>* [https://www.dropbox.com/scl/fi/7b2b81k8cujg9ewb9y17g/LAaG_HW_28_C-231.pdf?rlkey=r94ks57xsjfq3br1ak01ohjoc&amp;st=4cpwr5v9&amp;dl=0 &#039;&#039;&#039;HW 28&#039;&#039;&#039;] (release: 18.04.24; deadline: 28.04.24) &lt;small&gt;([https://www.dropbox.com/scl/fi/wo97aeyi4qevz1zxvox22/LAaG_Seminar_28.pdf?rlkey=ictgac9ks1ajrmxc56uejmxuw&amp;st=4vl8abve&amp;dl=0 seminar notes])&lt;/small&gt;</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;"><br></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;"><br></td></tr> <!-- diff cache key wiki_cs:diff:1.41:old-84836:rev-84853:php=table --> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=84836&oldid=prev 2024-04-24T19:08:45Z

<p><span class="autocomment">Lecture Notes</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 19:08, 24 апреля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l74">Строка 74:</td> <td colspan="2" class="diff-lineno">Строка 74:</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;"><br></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;"><br></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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</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>* [https://www.dropbox.com/s/6wn3z42bzvrg5or/LAaG_Lecture_29.pdf?dl=0 '''Lecture 29'''] (25.04.<del style="font-weight: bold; text-decoration: none;">2023</del>) Euclidean spaces; scalar product; the norm of a vector; Cauchy–Schwarz inequality; the angle between two vectors; the Gram matrix and its main properties.</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>* [https://www.dropbox.com/s/6wn3z42bzvrg5or/LAaG_Lecture_29.pdf?dl=0 '''Lecture 29'''] (25.04.<ins style="font-weight: bold; text-decoration: none;">2024</ins>) Euclidean spaces; scalar product; the norm of a vector; Cauchy–Schwarz inequality; the angle between two vectors; the Gram matrix and its main properties.</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;"><br></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;"><br></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>* [https://www.dropbox.com/s/gkxple1prqauxoa/LAaG_Lecture_28.pdf?dl=0 &#039;&#039;&#039;Lecture 28&#039;&#039;&#039;] (18.04.2024) Quadratic forms (Part III); The Jacobi theorem; normal bases and the normal form of a quadratic form; the positive and negative indices of inertia, the signature of a quadratic form; the Sylvester law of inertia; positive (semi)-definite and negative (semi)-definite quadratic forms; the Sylvester criterion.</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>* [https://www.dropbox.com/s/gkxple1prqauxoa/LAaG_Lecture_28.pdf?dl=0 &#039;&#039;&#039;Lecture 28&#039;&#039;&#039;] (18.04.2024) Quadratic forms (Part III); The Jacobi theorem; normal bases and the normal form of a quadratic form; the positive and negative indices of inertia, the signature of a quadratic form; the Sylvester law of inertia; positive (semi)-definite and negative (semi)-definite quadratic forms; the Sylvester criterion.</div></td></tr> <!-- diff cache key wiki_cs:diff:1.41:old-84835:rev-84836:php=table --> </table>

Mazhuga.A.M. https://wiki.cs.hse.ru/index.php?title=LAaG_DSBA_2023/2024&diff=84835&oldid=prev 2024-04-24T19:08:16Z

<p><span class="autocomment">Lecture Notes</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 19:08, 24 апреля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l74">Строка 74:</td> <td colspan="2" class="diff-lineno">Строка 74:</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;"><br></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;"><br></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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</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>&#039;&#039;&#039; Module 4 &#039;&#039;&#039;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">* [https://www.dropbox.com/s/6wn3z42bzvrg5or/LAaG_Lecture_29.pdf?dl=0 '''Lecture 29'''] (25.04.2023) Euclidean spaces; scalar product; the norm of a vector; Cauchy–Schwarz inequality; the angle between two vectors; the Gram matrix and its main properties.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></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>* [https://www.dropbox.com/s/gkxple1prqauxoa/LAaG_Lecture_28.pdf?dl=0 &#039;&#039;&#039;Lecture 28&#039;&#039;&#039;] (18.04.2024) Quadratic forms (Part III); The Jacobi theorem; normal bases and the normal form of a quadratic form; the positive and negative indices of inertia, the signature of a quadratic form; the Sylvester law of inertia; positive (semi)-definite and negative (semi)-definite quadratic forms; the Sylvester criterion.</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>* [https://www.dropbox.com/s/gkxple1prqauxoa/LAaG_Lecture_28.pdf?dl=0 &#039;&#039;&#039;Lecture 28&#039;&#039;&#039;] (18.04.2024) Quadratic forms (Part III); The Jacobi theorem; normal bases and the normal form of a quadratic form; the positive and negative indices of inertia, the signature of a quadratic form; the Sylvester law of inertia; positive (semi)-definite and negative (semi)-definite quadratic forms; the Sylvester criterion.</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;"><br></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;"><br></td></tr> </table>

Mazhuga.A.M.