[PDF][PDF] Static timing analysis based on partial probabilistic description of delay uncertainty

WS Wang, V Kreinovich, M Orshansky - 2006 - scholarworks.utep.edu
… Such descriptions form the basis of interval arithmetic and its enhancement in terms of affine
arithmetic [10][11]. An interval description does not permit making statements about which …

[PDF][PDF] State of the Ability in Research on Microgrid Hybrid Energy Systems.

I Akhtar, S Kirmani, M Jamil - Journal of Engineering Science & Technology …, 2019 - jestr.org
Affine arithmetic has been used to model the interval uncertainties and sensitivities in nodal
power injections. Furthermore, the minimization of the operational cost has been taken care …

Interval Energy Flow Analysis in Integrated Electrical and Natural-Gas Systems Considering Uncertainties

S Wang, S Yuan - Energies, 2019 - mdpi.com
Affine Arithmetic … An uncertainty power flow algorithm based on interval and affine arithmetic.
Autom. … Uncertainty tracing of distributed generations via complex affine arithmetic based …

[HTML][HTML] Progressive refinement rendering of implicit surfaces

MN Gamito, SC Maddock - Computers & Graphics, 2007 - Elsevier
… In that work, affine arithmetic was used to compute bounds for the implicit function. Affine
arithmetic provides an automatic method of computing bounds for arbitrary functions but it is …

Hardware organization to achieve high-speed elliptic curve cryptography for mobile devices

S Liu, B King, W Wang - Mobile Networks and Applications, 2007 - Springer
… One is to use the traditional affine arithmetic. An alternative is to use the projective point
coordinates. Using the affine arithmetic to compute kP, many “double” or “add” operations are …

[HTML][HTML] Interval uncertainty analysis for static response of structures using radial basis functions

Y Liu, X Wang, L Wang - Applied Mathematical Modelling, 2019 - Elsevier
This paper proposes a new interval uncertainty analysis method for static response of structures
with unknown-but-bounded parameters by using radial basis functions (RBFs). Recently…

Systematic high-level address code transformations for piece-wise linear indexing: illustration on a medical imaging algorithm

C Ghez, M Miranda, A Vandecappelle… - … IEEE Workshop on …, 2000 - ieeexplore.ieee.org
… For instance, modulo operations affecting affine arithmetic can be modelled as a piece-wise
linear arithmetic problem for which effective transformations can be applied before the …

[PDF][PDF] CSG Operations of Arbitrary Primitives with Interval Arithmetic and Real-Time Ray Tracing

Y Hijazi, A Knoll, M Schott, A Kensler… - Utah: SCI Institute …, 2008 - eastfarthing.com
… Also comparing interval and (reduced) affine arithmetic as in [9] for the task of CSG modeling
… Fast ray tracing of arbitrary implicit surfaces with interval and affine arithmetic. Computer …

Massively parallel rendering of complex closed-form implicit surfaces

MJ Keeter - ACM Transactions on Graphics (TOG), 2020 - dl.acm.org
We present a new method for directly rendering complex closed-form implicit surfaces on
modern GPUs, taking advantage of their massive parallelism. Our model representation is …

Tight semidefinite relaxation for interval power flow model based on multi-dimensional holomorphic embedding method

Y Sun, T Ding, M Qu, F Li… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
… To address this problem, affine arithmetic was employed to solve the IPF. In [24], affine …
Compared with affine arithmetic, optimization based methods gave more accurate interval …