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 12 A kind of converse of Lagrange's Theorem 8 Prime numbers stretch to infinity, but what about the distance between them? 8 How to convert this sentence into a first order logic well formed formula? 7 Difference between a “theory” in logic and a “system of axioms” 5 Explain what is a linear transformation

### Reputation (1,087)

 +70 What's going on with “compact implies sequentially compact”? +10 Prime numbers stretch to infinity, but what about the distance between them? +5 Computing the Lebesgue integral of $\frac{1}{1+x^2}$ +5 Find a first order sentence in $\mathcal{L}=\{0,+\}$ which is satisfied by exactly one of $\mathbb{Z}\oplus \mathbb{Z}$ and $\mathbb{Z}$

### Questions (9)

 41 What's going on with “compact implies sequentially compact”? 8 Computing the Lebesgue integral of $\frac{1}{1+x^2}$ 6 Find a f.g. $F[x]$-module which is not projective 4 when can you estimate curvature from finite information about two geodesics? 4 $\lim\int_{E_i}f = \int_{E}f$ when $\lim d(E_i , E) = 0$

### Tags (34)

 24 logic × 8 8 number-theory 12 group-theory × 3 8 prime-numbers 12 finite-groups 5 intuition × 2 8 linear-algebra × 3 4 notation × 2 8 terminology × 2 4 summation

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