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Arithmetical affine complete varieties and inverse monoids
Studia Scientiarum Mathematicarum Hungarica, 2008This paper gives a classification of arithmetical affine complete varieties of finite type up to categorical equivalence. It is proved that two such varieties are equivalent as categories if and only if their weakly diagonal generators have isomorphic monoids of bicongruences.
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Road design problems solved by affine arithmetic
2015In this paper we propose the use of techniques based on range numbers for solving problems of road designing. We applied the Affine Arithmetic to verify the driver's visibility in a horizontal curve, providing very interesting results and confirming its usefulness even in the most complex analytical expressions.
BOSURGI, Gaetano +2 more
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Accurate and efficient implementation of affine arithmetic using floating-point arithmetic
2014Affine arithmetic is one of the extensions of interval arithmetic that aim at counteracting the variable dependency problem.With affine arithmetic, defined in [5] by Stolfi and Figueiredo, variables are represented as affine combination of symbolic noises.It differs from the generalized interval arithmetic, defined by Hansen in [1], where variables are
Ninin, Jordan, Revol, Nathalie
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Refinement of mixed-signals systems with affine arithmetic
Proceedings Design, Automation and Test in Europe Conference and Exhibition, 2004Christoph Grimm 0001 +2 more
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Analysis of mixed-signal systems with affine arithmetic
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2005Christoph Grimm 0001 +2 more
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Improving interval analysis in finite element calculations by means of affine arithmetic
Computers and Structures, 2010Geert Lombaert
exaly
An interval inverse method based on high dimensional model representation and affine arithmetic
Applied Mathematical Modelling, 2018Chao Jiang, Xu Han, Jie Liu
exaly
An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties
International Journal of Electrical Power and Energy Systems, 2014Wanxing Sheng, Tao Ding, Lizi Luo
exaly

