Towards mechanical solution of the Kahan Ellipse Problem 1
EUROCAL '83 Proceedings of the European Computer Algebra Conference on Computer Algebra
A solution to Kahan's problem (SIGSAM problem no. 9)
ACM SIGSAM Bulletin
Problem #9: an ellipse problem
ACM SIGSAM Bulletin
On mechanical quantifier elimination for elementary algebra and geometry
Journal of Symbolic Computation
A bibliography of quantifier elimination for real closed fields
Journal of Symbolic Computation
ISSAC '92 Papers from the international symposium on Symbolic and algebraic computation
Quantifier elimination for real algebra—the cubic case
ISSAC '94 Proceedings of the international symposium on Symbolic and algebraic computation
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Improved projection for cylindrical algebraic decomposition
Journal of Symbolic Computation
A generic projection operator for partial cylindrical algebraic decomposition
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Efficient projection orders for CAD
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Computing the global optimum of a multivariate polynomial over the reals
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Unconstrained Parametric Minimization of a Polynomial: Approximate and Exact
Computer Mathematics
Real algebraic numbers and polynomial systems of small degree
Theoretical Computer Science
Journal of Symbolic Computation
An algorithm for computing the complete root classification of a parametric polynomial
AISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Symbolic Computation
Quantifier elimination for quartics
AISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Symbolic Computation
Optimising problem formulation for cylindrical algebraic decomposition
CICM'13 Proceedings of the 2013 international conference on Intelligent Computer Mathematics
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Optimal solutions are given for the two following problems: the condition for a degree 4 polynomial to have only positive values and the condition for an ellipse to be inside the unit circle.