A method and ALU for implementing logarithmic arithmetic in a multi-stage pipeline is described herein. According to one embodiment, a master function is decomposed into two or more sub-functions. Memory associ
1. Security via hybrids with logarithmic-length G function: : The proof involves a sequence of polynomial number ℓ(⋆) of hybrid experiments. More precisely, for every λ∈N, there is a sequence of ℓ(λ)+1 hybrid (generalized) experiments (H0,λ,G0,λ),⋯(Hℓ(λ),λ,Gℓ...
The error is measured for the Nth root computation with N=5. Table 11 compares the RMSE and max(AE) for the proposed method and approaches presented in25 and 26. The number of stages used to measure the error is also mentioned in Table 11. Hyperbolic and binary logarithmic CORDIC repeats...
the transition density of the diffusion with generator l , using theorem 2.3 , we obtain the following bismut-type hessian formula for the logarithmic density. corollary 2.5 we keep the assumptions of theorem 2.3 . then $$\begin{aligned}&\left( {{\text {hess}}}_x \log p_t(x,...
Randomized computations can be very powerful with respect to space complexity, e.g., for logarithmic space, LasVegas is equivalent to nondeterminism. This power depends on the possibility of infinite computations, however, it is an open question if they are necessary. We answer this question for ...
matter elements with flow stress Y . Deformation theory [4] is used. Using the con- tinuum Green tensor of the strain (GT) as in [1] (we call this approach “CG1”), we observe that : (i) convergence of the FFT method is slow for infinite contrast; (ii) the fields, ...
bits such as with functions in the MPFR library, computation using the IFN mechanism can be done using only a sufficient number of bits for each subexpression. Note that “sufficient number of bits” varies with the subexpression; the number of bits for each subexpression is automatically ...
Boolean functionsthreshold circuitsFor ordinary circuits with a fixed upper bound on the fanin of its gates it has been shown that logarithmic redundancy is necessary and sufficient to overcome random hardware faults (noise). Here, we consider the same question for unbounded fanin circuits which ...
In the first problem the Galerkin technique is used with the exponential integrals as base functions.I. K. Abu-ShumaysNorthwestern UniversityE. H. BareissNorthwestern University
an 8-bit integer logarithmic base two value420and a 23-bit fractional logarithmic base two value430. The integer logarithmic base two value420(“int”) and a fractional logarithmic base two value430(“frac”) are concatenated to form a single fixed-point number, with an implied bias (“bias...