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Selbstporträt , 1794, Louvre Mars im Kampf mit Minerva (Combat de Mars contre Minerve) , 1771, Louvre, Paris Der Schwur der Horatier (Le Serment des Horaces) , 1784, Louvre, Paris Der Tod des Sokrates (La Mort de Socrate) , 1787, Metropolitan Museum of Art, New York Helena und Paris (Les Amours de Pâris et d'Hélène) , 1788, Louvre, Paris Der Tod des Marat (La Mort de Marat) , 1793, Königliche Museen der Schönen Künste, Brüssel Marie Antoinette auf dem Weg zur Guillotine , Federzeichnung Davids mit der Abbildung der vormaligen französischen Königin Marie Antoinette kurz vor ihrer Hinrichtung am 16. Oktober 1793 in Paris Napoleon am Großen St. Bernhard , 1801, Belvedere, Wien Die Krönung von Napoleon (Le Sacre de Napoléon) , 1805–1807, Louvre, Paris Jacques-Louis David (* 30. August 1748 in Paris; † 29. Dezember 1825 in Brüssel) war ein französischer Historienmaler des Klassizismus. Inhaltsverzeichnis 1 Leben und Werk 2 ...

1 $begingroup$ I tried searching everywhere but couldn't find a formalization of this. I guess the set of possible outcomes $Omega$ is the set of all sequences of zeros and ones, where $1$ at the $n$ th position means that the monkey typed Hamlet correctly at its $n$ th attempt, and $0$ otherwise. The $sigma$ -algebra $mathcal{M}$ on $Omega$ could be the one generated by the sets $A_n$ , where $A_n$ is the set of all sequences with $1$ in the $n$ th position. How do we define a probability measure $mathbb{P}$ on $(Omega, mathcal{M})$ such that $mathbb{P}(A_n) = c > 0$ , where $c$ is the probability of the monkey typing it correctly in one attempt? probability-theory measure-theory share |...

1 I have a couple problems related to the Lebesgue FTC that I'm having a hard time solving: If $F:mathbb Rto mathbb Cin$ NBV, show that there is a null Borel set $Nsubsetmathbb R$ s.t. if $[a,b]cap N=0,$ then $$F(b)-F(a)=int_a^bF'(t)dt$$ . Show that if $F:mathbb R to mathbb R$ is increasing and $-infty<a<b<infty$ , then $$F(b)-F(a)geq int_a^bF'(t)dt$$ For both of the problems, I'm kind of at an impasse and just running around in circles. I would greatly appreciate some help on solving these problems. real-analysis integration measure-theory lebesgue-integral share | cite | improve this question asked Nov 30 at 1:47 ...