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### Questions (8)

 8 Stuck on existence proofs involving measurability and simple functions 3 Lebesgue Measure theory proof / question 2 Questions on the Nature of Nonmeasurable Sets and Functions 1 Real valued function of two variables defined on a square with area one, Partial derivatives exist and bounded by an Lebesque intergrable function 1 Tough Analysis Question Involving Dense Subset of $R$ and Convergence of Measurable Functions

### Reputation (174)

 +5 Real valued function of two variables defined on a square with area one, Partial derivatives exist and bounded by an Lebesque intergrable function +35 Stuck on existence proofs involving measurability and simple functions +10 Help me understand the (continuous) uniform distribution +10 $p$ an odd prime, $p \equiv 3 \pmod 8$. Show that $2^{(\frac{p-1}{2})}*(p-1)! \equiv 1 \pmod p$

 3 Help me understand the (continuous) uniform distribution 1 $p$ an odd prime, $p \equiv 3 \pmod 8$. Show that $2^{(\frac{p-1}{2})}*(p-1)! \equiv 1 \pmod p$ 1 Complete matrix 0 Interesting Algebra Problem … involves the subgroup of $GL_n(F)$ that stabilizes $e_1$ and semidirect products 0 Tough Analysis Question Involving Dense Subset of $R$ and Convergence of Measurable Functions

### Tags (15)

 3 probability 1 eigenvalues-eigenvectors 3 statistics 1 elementary-number-theory 1 modular-arithmetic 1 linear-algebra 1 prime-numbers 0 real-analysis × 6 1 differential-equations 0 measure-theory × 5

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 Mathematics 174 rep 9 Movies & TV 41 rep 2