| Presentation | 1999/9/25 A Study on the Geometrically Distributed Binary Sequences Generated from the First 10,000 Digits of π Yoshio NOMURA, Kentarou NAGANO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper is concerned with the geometrically distributed binary sequences with discrete probability of occurrence from the use of π. The interesting number π has the uniformly distributed randomness among its digits. With code"0" the number of m and Code"1" the balanced number of (10-m) out of 10 decimals, we obtain 10,000 binary sequences from the first 10000 digits of π. The probability for "0" and "1" is theoretically p=1/m and q-1/(1-m) respectively. To verify the geometrical properties of the said sequences, we perform χ^2 null hypothesis test of length distribution among the gap and chain on the generated sequences. Finally, we show that these binary sequences so obtained are sufficiently in agreement with theoretical properties. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | geometrically distributed binary sequences / χ^2 null hypothesis test / application of π |
| Paper # | ET99-40 |
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| Conference Information | |
| Committee | ET |
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| Conference Date | 1999/9/25(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Educational Technology (ET) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Study on the Geometrically Distributed Binary Sequences Generated from the First 10,000 Digits of π |
| Sub Title (in English) | |
| Keyword(1) | geometrically distributed binary sequences |
| Keyword(2) | χ^2 null hypothesis test |
| Keyword(3) | application of π |
| 1st Author's Name | Yoshio NOMURA |
| 1st Author's Affiliation | Tokyo National College of Technology() |
| 2nd Author's Name | Kentarou NAGANO |
| 2nd Author's Affiliation | NTT East Japan Coporation |
| Date | 1999/9/25 |
| Paper # | ET99-40 |
| Volume (vol) | vol.99 |
| Number (no) | 332 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |