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On distribution functions of sequences generated by scalar and mixed product

In: Mathematica Slovaca, vol. 53, no. 5
Oto Strauch
Detaily:
Rok, strany: 2003, 467 - 478
O článku:
We study two types of real sequences: Firstly, the sequence of scalar products $bn·xn$, $n=1,2,…$, where $bn$, $xn$ are statistically independent and uniformly distributed in $[0,1]3$. Secondly, the sequence of absolute values of mixed products $|(b(1)n×b(2)nxn|$, where $b(1)n$, $b(2)n$, $xn$, are statistically independent and uniformly distributed in the $3$@-dimensional ball $B(r)$ with the center $(0,0,0)$ and radius $r$. We compute their asymptotic distribution functions and then we modify one-time pad cipher by using these distribution functions. All basic problems are formulated for $s$@-dimensional sequences.
Ako citovať:
ISO 690:
Strauch, O. 2003. On distribution functions of sequences generated by scalar and mixed product. In Mathematica Slovaca, vol. 53, no.5, pp. 467-478. 0139-9918.

APA:
Strauch, O. (2003). On distribution functions of sequences generated by scalar and mixed product. Mathematica Slovaca, 53(5), 467-478. 0139-9918.