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Concept

Cube (algèbre)

Publications associées (4)

Decomposition of a Cube into Nearly Equal Smaller Cubes

János Pach

Let d be a fixed positive integer and let epsilon > 0. It is shown that for every sufficiently large n >= n(0)( d, e), the d-dimensional unit cube can be decomposed into exactly n smaller cubes such that the ratio of the side length of the largest cube to ...

Mathematical Assoc Amer2017

Polynomial diffusions and applications in finance

Damir Filipovic, Martin Larsson

This paper provides the mathematical foundation for polynomial diffusions. They play an important role in a growing range of applications in finance, including financial market models for interest rates, credit risk, stochastic volatility, commodities and ...

Springer Verlag2016

Crowding and grouping: how much time is needed to process good Gestalt?

Michael Herzog, Mauro Manassi

In crowding, perception of a target is deteriorated by flanking elements. Crowding is usually explained by pooling models where target and flanker signals are averaged. We show here that crowding is rather determined by grouping and good Gestalt. We determ ...

2013

Algebraic, AIDA/Cube and Side Channel Analysis of KATAN Family of Block Ciphers

Pouyan Sepehrdad, Jorge Nakahara

This paper presents the first results on AIDA/cube, algebraic and side-channel attacks on variable number of rounds of all members of the KATAN family of block ciphers. Our cube attacks reach 60, 40 and 30 rounds of KATAN32, KATAN48 and KATAN64, respective ...

Springer2010