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[mult_poly] down case folder, add dependency graphs
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marianomoscato committed Jan 13, 2023
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8 changes: 7 additions & 1 deletion Mult_Poly/README.md → mult_poly/README.md
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# Multivariate Polynomials

This library contains a formalization of multivariate polynomials
and semi-algebriac sets For full descriptioon see: "Formal Verification of the Interaction Between Semi-Algebraic Sets and Real Analytic Functions."
and semi-algebriac sets. For full descriptioon see: "Formal Verification of the Interaction Between Semi-Algebraic Sets and Real Analytic Functions."

## External Dependencies

![dependency graph](./mult_poly.svg "Dependency Graph")

## Internal Summary

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| [`smooth_not_analytic`](smooth_not_analytic.pvs)| This introduces a function that is smooth and not analytic, and shows that it does not interact with an SA set in a `nice' way, like real analytic functions do. |
| [`poly_comp_analytic`](poly_comp_analytic.pvs)| The composition of a real analytic function with a multi-variate polynomial is still real analytic. Also shows the favorable properties of real analytic functions interacting with semi-algebraic sets. |

![zoomed dependency graph](./mult_poly-zoomed.svg "Zoomed Dependency Graph")

# Contributors
* Lauren White, NASA, USA
* J Tanner Slagel, NASA, USA
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1 change: 1 addition & 0 deletions nasalib.all
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Expand Up @@ -64,6 +64,7 @@ ASP # Denotational semantics of Answer Set Programming. Contribu
mv_analysis
ODEs
dL
mult_poly
#
# Deprecated libraries
#
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