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Roots of polynomials of degrees 3 and 4

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arxiv 1009.2373 v1 pith:PHE33EPA submitted 2010-09-13 math.HO

classification math.HO
keywords degreesanalysiscommentsequationsfinitefouriergaloisgroups
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We present the solutions of equations of degrees 3 and 4 using Galois theory and some simple Fourier analysis for finite groups, together with historical comments on these and other solution methods.

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  1. Resonance-Driven Intermittency and Extreme Events in Turbulent Scalar Transport with a Mean Gradient

    cs.CE 2025-05 conditional novelty 6.0 of 10

    A new stochastic model with explicit tracer statistics shows that extreme events in turbulent scalar transport arise from resonance between zonal and shear flow phase speeds.

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