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15
840
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Perturbing a polynomial with repeated real roots to get distinct real roots

Published on
#polynomials #approximation #perturbation-theory #real-algebraic-geometry
438
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Reference to Harnack's proof of Harnack's inequality in real algebraic geometry

Published on
#algebraic-geometry #algebraic-curves #real-algebraic-geometry
331
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Grobner Basis and Surfaces

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#algebraic-geometry #surfaces #algebraic-curves #computational-geometry #real-algebraic-geometry
75
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Is the gaussian function a Nash function on $\mathbb{R}$?

Published on
#polynomials #reference-request #exponential-function #real-algebraic-geometry
81
Views

Given a polynomail complete intersection in $\mathbb{RP}^n$ how can I figure out the topology?

Published on
#algebraic-geometry #homology-cohomology #surfaces #real-algebraic-geometry
386
Views

Zero set of homogeneous irreducible polynomial over reals

Published on
#algebraic-geometry #irreducible-polynomials #real-algebraic-geometry
59
Views

Bivariate Form Sum of Squares

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#polynomials #binary #sums-of-squares #homogeneous-equation #real-algebraic-geometry
153
Views

One question about semi-algebraic variety

Published on
#algebraic-geometry #real-algebraic-geometry
80
Views

A confusion about the order in the set of rational functions

Published on
#algebraic-geometry #polynomials #rational-functions #ordered-fields #real-algebraic-geometry
62
Views

A confusion on the fact that the set of real rational function are not archimedean

Published on
#algebraic-geometry #field-theory #rational-functions #ordered-fields #real-algebraic-geometry
212
Views

Existence of Countably Infinite Varieties Over Uncountable Fields

Published on
#algebraic-geometry #polynomials #real-algebraic-geometry
291
Views

Sum-of-squares quartic polynomials in three variables

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#algebraic-geometry #polynomials #ideals #real-algebraic-geometry #sum-of-squares-method
67
Views

Convergence of sum of squares relaxations for global polynomial optimization

Published on
#convex-optimization #nonlinear-optimization #semidefinite-programming #real-algebraic-geometry #sum-of-squares-method
86
Views

Geodesic through/between singularities

Published on
#differential-geometry #analyticity #real-algebraic-geometry
61
Views

Points and dual $\mathbb{R}$-algebra to $\mathbb{R}[V]$ on real affine variety $V$

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#algebraic-geometry #commutative-algebra #real-algebraic-geometry

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