Kaomojis

πŸ§”πŸ»β€β™‚οΈβˆžπŸ“

#georg cantor #mathematician #cantor set #measure theory #set theory #dust

πŸ“βž‘οΈπŸ—ΊοΈ

#space-filling curve #mapping #1D to 2D #dimension mapping #topology #measure theory #continuous map

πŸ›οΈπŸŽ²πŸ“Š

#kolmogorov axioms #probability theory #measure theory #foundations of probability #probability space

β„›Aβ‚™)∈{0️⃣1️⃣}

#borel-cantelli #measure theory #zero-one law #limsup measure #probability space #infinite events

βˆ‘=∞+πŸŽ²β†”οΈπŸŽ²β‡’P(🎯∞)=1

#borel-cantelli #probability sum divergence #infinitely many events #independent events #measure theory #converse borel-cantelli

βˆ‘<βˆžβ‡’P(🎯∞)=0

#borel-cantelli #probability sum convergence #finitely many events #measure theory #sequence of events

βœ‚οΈπŸ“βš–οΈπŸ“βœ‚οΈ

#equidecomposability #equal measure #geometric decomposition #hilbert's third problem #measure theory