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On the product of triangular random variables

Mridula GargSangeeta ChoudharySaralees Nadarajah — 2009

Applicationes Mathematicae

We derive the probability density function (pdf) for the product of three independent triangular random variables. It involves consideration of various cases and subcases. We obtain the pdf for one subcase and present the remaining cases in tabular form. We also indicate how to calculate the pdf for the product of n triangular random variables.

What is the inverse of repeated square and multiply algorithm?

H. Gopalkrishna GadiyarK. M. Sangeeta MainiR. PadmaMario Romsy — 2009

Colloquium Mathematicae

It is well known that the repeated square and multiply algorithm is an efficient way of modular exponentiation. The obvious question to ask is if this algorithm has an inverse which would calculate the discrete logarithm and what is its time compexity. The technical hitch is in fixing the right sign of the square root and this is the heart of the discrete logarithm problem over finite fields of characteristic not equal to 2. In this paper a couple of probabilistic algorithms to compute the discrete...

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