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Random Number Generators on Computers /
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Nakazawa, Naoya, author. Nakazawa, Hiroshi, author. |
| 서명/저자사항 | Random Number Generators on Computers /Naoya Nakazawa, Hiroshi Nakazawa. |
| 발행사항 | Singapore : Jenny Stanford Publishing, 2025. |
| 형태사항 | 1 online resource (x, 110 pages). |
| 소장본 주기 | Added to collection customer.56279.3 |
| ISBN | 9781003410607 100341060X 1000908267 9781000908312 1000908313 9781000908268 |
| 기타표준부호 | 10.1201/9781003410607doi |
| 내용주기 | 1. Basic Concepts and Tools2. Group Structures3. Designs of MC Generators4. Lattice Structures5. Regular Simplexes and Regular Lattices6. Extended Second-Degree Tests7. MC Generators with Excellent Statistics8. MC Random Numbers on Spatial Lattices9. Random Vector Fields and Random Walks10. Two Addenda and Closing Comments |
| 요약 | This monograph proves that any finite random number sequence is represented by the multiplicative congruential (MC) way. It also shows that an MC random number generator (d, z) formed by the modulus d and the multiplier z should be selected by new regular simplex criteria to give random numbers an excellent disguise of independence. The new criteria prove further that excellent subgenerators (d1,z1) and (d2,z2) with coprime odd submoduli d1 and d2 form an excellent combined generator (d = d1d2,z) with high probability by Sunzi's theorem of the 5th-6th centuries (China), contrasting the fact that such combinations could never be found with MC subgenerators selected in the 20th-century criteria. Further, a combined MC generator (d = d1d2,z) of new criteria readily realizes periods of 252 or larger, requiring only fast double-precision arithmetic by powerful Sunzi's theorem. We also obtain MC random numbers distributed on spatial lattices, say two-dimensional 4000 by 4000 lattices which may be tori, with little pair correlations of random numbers across the nearest neighbors. Thus, we evade the problems raised by Ferrenberg, Landau, and Wong. |
| 일반주제명 | Random number generators. Random number generators -- Computer programs. SCIENCE / Mathematical Physics COMPUTERS / Mathematical & Statistical Software |
| 언어 | 영어 |
| 대출바로가기 | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=4096279 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00030949 | 519/.93 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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