Weierstrass’s construction of the irrational numbers
✍ Scribed by J. Christopher Tweddle
- Publisher
- Springer
- Year
- 2010
- Tongue
- German
- Weight
- 394 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0720-728X
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📜 SIMILAR VOLUMES
A method for simulation by resistive networks is given for numbers like nm and n-" for 0 <m < 1. The method is based on Cauchy-type integral representations for irrational functions. An algorithm to get networks from Cauchy-type integrals is used in the paper. A similar method is used for simulati
Let \(\xi\) be an irrational number with simple continued fraction expansion \(\xi=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}, \ldots\right]\). Let the \(i\) th convergent \(p_{i} / q_{i}=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}\right]\). Let \(\mu=\) \(\left|\left[0 ; a_{n+2}, a_{n+3}, \ldots\right