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References in periodicals archive ?
Starting with the modular exponentiation, the Right to Left Modular Exponentiation Algorithm principle is to take the exponent in binary radix and starts from the least significant bit.
rank, r Operational name Conventional notation 0 Successor S(S(a)) = (a + 1) + 1 1 Addition a + a = a x 2 2 Multiplication 2 a x a = a 3 Exponentiation [a.
This problem does not arise for Nadia El Mrabet [12], as there are many methods in literature microelectronics that allow stopping the calculations before exponentiation, read the intermediate result between the execution of the algorithm of Miller and exponentiation, or cancel the exponentiation step.
In this paper we have shown that starting from this basic equality, calculations of elementary operations, such as exponentiation associated with quantum dynamics and thermodynamics, lead us immediately to traditional combinatorial concepts such as Stirling numbers, and generalizations thereof, which we describe.
Odds ratios were calculated from the regression coefficients by exponentiation and are presented with 95% confidence intervals.
Other students omitted the call to the intrinsic function Real, which converted Rint to floating-point form prior to the exponentiation operation.
If the measured value is a result of operations based on the algorithms of division, multiplication, exponentiation, then discreteness will be unavoidable.
Montgomery Exponentiation with no final subtractions.
Because the exponentiation or operator A produces an infinite series of powers of this operator, the process corresponding to the evaluation Of the left-hand side of (2) is extremely costly, whereas the same effect obtained through direct translation--by the use of complex numbers.
The 7956 accelerates a variety of IPSec and SSL/TLS protocols, including DES, Triple DES, AES (with 128, 192, and 256-bit key lengths), and ARC4 encryption; MD5, SHA-1 hashing and authentication; RSA, DSA, SSL, IKE, and Diffie-Hellman public key support; 3,072-bit modular arithmetic and exponentiation, plus true Random Number Generation (RNG).
If, on the other hand, we assume an "N" year annuity, the present value is ACF X (1 - v^N)/I where v = 1/(1 + I) is the present value of $1 received one year in the future at discount rate I and A indicates exponentiation.