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Dostala som sa k pani Starej, bola strasne zlata, polozila mi tieto otazky:

1. Nutna a postacujuca podmienka pre existenciu (R) integralu s dk.
2. Variacia konstant v diferencialnych rovniciach
3. Kompaktna mnozina a veta o centrovanych systemoch s dk.

Bolo to tak medzi jedna, dva, tak mi dala doplnujucu otazku, AD s dk., takze sme sa dohodli na dvojecke :D

Prajem vela stastia...

Veselý byl v pohodě, prošli jsme spolu písemku a pak mi zadal:

- metrické a topologické vlastnosti, srovnání a příklady
- Cantorova věta v kompaktním prostoru s důkazem
- když f je R-integrovatelná, co platí pro abs(f), zdůvodnit

Cantora jsem dokazoval podrobně, u té třetí věci jsme se spíš bavili o tom, proč je abs(f) taky R-integrovatelná, než nějak formální důkaz. Na druhou stranu nechtěl jít dál, dokud nebylo jasné, že to zdůvodnění je úplné. Tu první otázku jsem si schoval nakonec, naštěstí ani moc slyšet nepotřeboval, usmál se a sáhl pro index... :lol: