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Abel–Ruffini theorem

Known as: Abel Ruffini theorem, Abel's Impossibility Theorem, Solvable by radicals 
In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in… 
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Related topics

Related topics

18 relations
Algebraic equationAlgebraic independenceCubic functionLaguerre's method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
The Unsolvability of The Quintic: A Case Study in Abstract Mathematical Explanation
This paper identifies one way that a mathematical proof can be more explanatory than another proof. This is by invoking a more… 
2013
2013
Competitive and synergistic effects between excimer VUV radiation and O radicals on the etching mechanisms of polyethylene and fluoropolymer surfaces treated by an atmospheric He–O2 post-discharge
Among various surface modification techniques, plasma can be used as a source for tailoring the surface properties of diverse… 
2012
2012
Similarity of polygonal curves in the presence of outliers
2011
2011
A simple proof of the Abel-Ruffini theorem
This paper is purely expositional. The statement of the Abel-Ruffini theorem on unsolvability of equations using radicals is… 
Highly Cited
2011
Highly Cited
2011
Optical and Electrical Diagnostics of the Effects of Conductivity on Liquid Phase Electrical Discharge
The influence of solution conductivity on liquid phase pulsed electrical discharge was investigated by optical emission… 
2010
2010
New late Paleozoic paleopoles from the Donbas Foldbelt (Ukraine): Implications for the Pangea A vs. B controversy
2007
2007
THE TOPOLOGICAL PROOF OF ABEL–RUFFINI THEOREM
We present a proof of the non-solvability in radicals of a general algebraic equation of degree greater than four. This proof… 
2004
2004
Exact number of limit cycles for a family of rigid systems
For a given family of planar differential equations it is a very difficult problem to determine an upper bound for the number of… 
Highly Cited
2000
Highly Cited
2000
Improving the Abel inversion by adding ground GPS data to LEO radio occultations in ionospheric sounding
GPS radio occultations allow the sounding of the Earth's atmosphere (i.e. troposphere and ionosphere). The basic observable of… 
1983
1983
Asymmetrical Abel Inversion of MHD Generator Discharges
The method of Yasutomo et al. for asymmetrical Abel inversion is extended. The original solution consists of a radial part and a… 
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