Matfyz Wiki
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# Dukaz : Charakterizace kompaktnich podmnozin v R na ktou <{ForumPost(poster="Trupik", timestamp=2005-06-15 13:47:53)}> vite nekdo, jak se dokazuje druha cast vety, totiz ze je li K(podmnozina R na ktou) uzavrena a omezena, pak je kompaktni V sesite mam napsano na R Bolzanova - Weier. veta, potom indukci, ale jakou indukci? ... A v pozadavcich je to mezi vetama z dukazem... A to nejveselejsi - zejtra uz bych to mel umet :( <{/ForumPost}> <{ForumPost(poster="MyS", timestamp=2005-06-15 14:04:00)}> Chm, ja teda jdu az za tyden a este jsem se to neucil, ale jak se tak divam do poznamek, tak indukci podle N (nebot konvergence v R^n je po slozkach). Ale to hlavni je, ze podle Pickova pdfka je tam v zavorce "bez dukazu"... :D . Myslime tu samou vetu, ze? <{/ForumPost}> <{ForumPost(poster="Trupik", timestamp=2005-06-15 14:18:39)}> Nojo, mas pravdu, je to bez dukazu - ale pozor, ja nejsem slepej! Akorat ze to pdfko jsem si stahnul uz driv a tam jeste (bez dukazu) nebylo - nejaka starsi verze nebo co... mam to tady pred sebou vytisteny cerny na bilym:). To se mi vazne ulevilo, i kdyz jsem nakonec jeden dukaz nasel na [http://planetmath.org/?op=getobj&from=objects&id=3328](http://planetmath.org/?op=getobj&from=objects&id=3328) a kdybys mi nenapsal, tak bych se ho snad i nedejboze naucil! Laughing <{/ForumPost}> |