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.
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.
Naoya Nakazawa obtained his DSci (applied number theory) at Osaka Prefectural University, Japan. He is now the representative (theory and computing) of Hirakata Ransu Factory (HRF). Hiroshi Nakazawa obtained his DSci (statistical physics) at Kyoto University, Japan. As a professor at Takuma National College of Technology, Japan, he enjoyed teaching students applied mathematics. He is now the representative (theory and general affairs) of HRF.
Inhaltsangabe
1. Basic Concepts and Tools 2. Group Structures 3. Designs of MC Generators 4. Lattice Structures 5. Regular Simplexes and Regular Lattices 6. Extended Second-Degree Tests 7. MC Generators with Excellent Statistics 8. MC Random Numbers on Spatial Lattices 9. Random Vector Fields and Random Walks 10. Two Addenda and Closing Comments
1. Basic Concepts and Tools 2. Group Structures 3. Designs of MC Generators 4. Lattice Structures 5. Regular Simplexes and Regular Lattices 6. Extended Second-Degree Tests 7. MC Generators with Excellent Statistics 8. MC Random Numbers on Spatial Lattices 9. Random Vector Fields and Random Walks 10. Two Addenda and Closing Comments
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