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    • 6. 发明申请
    • METHOD FOR GENERATING UNIFORM AND INDEPENDENT RANDOM NUMBERS
    • 用于产生均匀和独立随机数的方法
    • US20150012579A1
    • 2015-01-08
    • US14139832
    • 2013-12-23
    • Hiroshi NAKAZAWANaoya NAKAZAWA
    • Hiroshi NAKAZAWANaoya NAKAZAWA
    • G06F7/58
    • G06F7/588G06F7/586
    • An invention is presented with new and simple ways of spectral tests applicable to the multiplicative congruential generator (d,z) with any odd modulus d and any multiplier z coprime to d. The invention realizes powerful ways to select multipliers of excellence with greatly improved statistical performances in their generation of uniform and independent random numbers. Related two inventions for new designs of the generator (d,z) are presented at the same time, as strongly facilitative for the application of advocated extended spectral tests, by exploiting specific structures of moduluses formed by two odd-prime-powers so as to realize improved periodic structures that are set conveniently out of tune avoiding harmful resonances.
    • 本发明提供了适用于具有任何奇数模数d和任何乘数z互补对d的乘法同余发生器(d,z)的新的和简单的光谱测试方法。 本发明实现了在均匀和独立随机数的产生中大大提高了统计性能的强大方法来选择优秀的乘法器。 对于发电机(d,z)的新设计的两个发明,同时被提出,通过利用由两个奇数次幂形成的模态的具体结构,对于主张的扩展频谱测试的应用是非常有利的,以便 实现改进的周期性结构,其设置方便地避免有害共振。
    • 8. 发明申请
    • METHOD OF GENERATING RANDOM NUMBERS III
    • 产生随机数的方法III
    • US20140337399A1
    • 2014-11-13
    • US13892991
    • 2013-05-13
    • Hiroshi NAKAZAWANaoya NAKAZAWA
    • Hiroshi NAKAZAWANaoya NAKAZAWA
    • G06F7/58
    • G06F7/586
    • A system and method of generating uniform and independent random numbers is given by comprising two distinct odd primes that give an odd integer and an even integer, together with by taking an integer exponent and an integer exponent, by forming the composite modulus by taking a primitive root modulo and a primitive modulo and giving the multiplier modulo by either the system of congruence relations, any of which determines the multiplier modulo uniquely, by taking an initial value coprime. The method generates the sequence of integers by recursive congruence relations and gives an output of uniform and independent random numbers.
    • 通过包括两个不同的奇素数给出奇异整数和偶数整数以及通过取整数指数和整数指数,通过采用原始形式来形成复合模量,给出了产生均匀和独立随机数的系统和方法 根模和原始模,并通过一致关系系统给出乘法器,其中任何一个通过采用初始值互质确定唯一的乘数。 该方法通过递归一致关系生成整数序列,并给出均匀和独立随机数的输出。