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The Number π as a Pseudo-Random Number Generator
https://doi.org/10.14988/pa.2017.0000011489
https://doi.org/10.14988/pa.2017.00000114898a41826c-ed01-4dcf-8ee3-1dff9876160a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
023049030004.pdf (461.8 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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| 公開日 | 2008-10-28 | |||||||||||
| タイトル | ||||||||||||
| タイトル | The Number π as a Pseudo-Random Number Generator | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| キーワード | ||||||||||||
| 主題 | the constant π, pseudo-random number generator, statistical tests | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||
| ID登録 | ||||||||||||
| ID登録 | 10.14988/pa.2017.0000011489 | |||||||||||
| ID登録タイプ | JaLC | |||||||||||
| アクセス権 | ||||||||||||
| アクセス権 | open access | |||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
| 著者 |
三井, 斌友
× 三井, 斌友
WEKO
16143
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| 著者所属（英） | ||||||||||||
| 言語 | en | |||||||||||
| 値 | Department of Mathematical Sciences, Faculity of Science & Engineering, Doshisha University | |||||||||||
| 所属機関識別子種別 | ||||||||||||
| 値 | kakenhi | |||||||||||
| 所属機関識別子 | ||||||||||||
| 値 | 34310 | |||||||||||
| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | The random numbers, as actually realized sequences of the random variable with mutually independent and same distribution function, are applied in many fields of science and technology. The random number sequence which a computer generates is called pseudo-random numbers (PRNs). Various codes for PRN generation have been developed and applied. Some known algorithms, e.g., the linear congruence method, have been reported often to exhibit some faults, in particular, in parallel computation environments. The mathematical constant pi is expected that its decimal expression gives a sequence of random numbers. Up to now, pi is calculated of more than a trillion digits. More precisely, 1.241 x 10[12] digits were given with a help of super-computer. Although there is still no mathematical proof which shows either randomness or non-randomness of the digit sequence of pi, it has a potential as a PRN. Hence, we are inspired to carry out statistical tests on randomness for the number sequence from pi, and to compare its results with other algorithms for PRN. Two sets of statistical test together with a test through Monte Carlo simulation showed that the PRN generator based on pi is by no means inferior to other methods. In some tests, it exhibits even superiority as well. As the number pi is known to have several parallel algorithms for its calculation, a parallel computation of PRN generation can be considered in the future. | |||||||||||
| 言語 | en | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述 | 抄録の「[12]」は上つき文字 | |||||||||||
| 書誌情報 |
ja : 同志社大学理工学研究報告 en : The Science and Engineering Review of Doshisha University 巻 49, 号 3, p. 160-168, 発行日 2008-10-31 |
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| 出版者 | ||||||||||||
| 出版者 | 同志社大学理工学研究所 | |||||||||||
| 言語 | ja | |||||||||||
| 出版者（英） | ||||||||||||
| 出版者 | Science and Engineering Research Institute of Doshisha University | |||||||||||
| 言語 | en | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 00368172 | |||||||||||
| 書誌レコードID | ||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||
| 収録物識別子 | AN00165868 | |||||||||||
| 権利者情報 | ||||||||||||
| 権利者識別子Scheme | AID | |||||||||||
| 権利者識別子URI | https://ci.nii.ac.jp/author/DA03974933 | |||||||||||
| 権利者識別子 | DA03974933 | |||||||||||
| 権利者名 | 同志社大学理工学研究所 | |||||||||||
| 言語 | ja | |||||||||||
| 権利者名 | Science and Engineering Research Institute of Doshisha University | |||||||||||
| 言語 | en | |||||||||||
| 関連サイト | ||||||||||||
| 関連タイプ | isFormatOf | |||||||||||
| 識別子タイプ | URI | |||||||||||
| 関連識別子 | https://doors.doshisha.ac.jp/opac/opac_link/bibid/SB00960326/?lang=0 | |||||||||||
| 言語 | ja | |||||||||||
| 関連名称 | 掲載刊行物所蔵情報へのリンク ／ Link to Contents | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
| 日本十進分類法 | ||||||||||||
| 主題Scheme | NDC | |||||||||||
| 主題 | 418.2 | |||||||||||
