We obtain, for entire functions of exponential type, a complementary result and a generalization of a quadrature formula with nodes at the zeros of Bessel functions. Our formula contains a sequence of rational fractions whose properties are studied.
An explicit diophantine definition of the exponential function
β Scribed by Martin Davis
- Publisher
- John Wiley and Sons
- Year
- 1971
- Tongue
- English
- Weight
- 274 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0010-3640
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## Abstract The author considers rings of rational numbers which are integral at all the primes except, possibly, primes contained in a finite set. In such rings a Diophantine definition of β€ is constructed to show that all the recursively enumerable subsets of the ring are Diophantine.
Contrary to classical mechanics, quantum mechanics does not deal directly with observable events. In order to infer from the knowledge of a quantum state a prediction about an event, it is necessary to call upon the theory of measurement, a complicated system of interpretation of the basic formalism