Nu exista polinoame P, Q astfel incat pi(x)=P(x)/Q(x)
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Nu exista polinoame P, Q astfel incat pi(x)=P(x)/Q(x)
Sa se arate ca nu exista doua polinome \( P,Q\in\mathbb{R}[X] \) astfel incat \( \pi(x)=\frac{P(x)}{Q(x)} \) pentru orice \( x\in\mathbb{N} \).
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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Filip Chindea
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Vezi, de exemplu, topicul de pe ML unde se discuta asta (problema E14 din PEN, cu solutie elementara).
Life is complex: it has real and imaginary components.