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Algebraic equation

Known as: Algebraic equations, Polynomial equation, Algebraic root 
In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field… 
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Papers overview

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Highly Cited
2012
Highly Cited
2012
The subject of linear algebra includes the solution of linear equations, a topic properly belonging to college algebra. Earlier… 
Review
2008
Review
2008
• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences… 
Highly Cited
2004
Highly Cited
2004
Algebraic attacks on LFSR-based stream ciphers recover the secret key by solving an overdefined system of multivariate algebraic… 
Review
2003
Review
2003
In this paper, we review and explain the existing algebraic cryptanalysis of multivariate cryptosystems from the hidden field… 
Highly Cited
2003
Highly Cited
2003
  • N. Courtois
  • Annual International Cryptology Conference
  • 2003
  • Corpus ID: 40465015
A classical construction of stream ciphers is to combine several LFSRs and a highly non-linear Boolean function f. Their security… 
Highly Cited
1998
Highly Cited
1998
Introduction.- Solving Polynomial Equations.- Resultants.- Computation in Local Rings.- Modules.- Free Resolutions.- Polytopes… 
Review
1997
Review
1997
One or more than made up, by fred woodward under the best uses of systems. 157 rule generalizes easily to undergraduates this has… 
Highly Cited
1988
Highly Cited
1988
  • J. Canny
  • Symposium on the Theory of Computing
  • 1988
  • Corpus ID: 14535463
We give a PSPACE algorithm for determining the signs of multivariate polynomials at the common zeros of a system of polynomial… 
Highly Cited
1973
Highly Cited
1973
Introduction to Algebraic Geometry.By Serge Lang. Pp. xi + 260. (Addison–Wesley: Reading, Massachusetts, 1972.) 
Highly Cited
1938
Highly Cited
1938
An equation with real coefficients and given degree n being selected at random, about how many real roots may it be expected to…