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Semialgebraic set

In mathematics, a basic semialgebraic set is a set defined by polynomial equalities and polynomial inequalities, and a semialgebraic set is a finite union of basic semialgebraic sets. A semialgebraic function is a function with a semialgebraic graph. Such sets and functions are the main object of study of real algebraic geometry the part of algebraic…

Art, Properties & Definition

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Overview

Definition

Dimension 1

Properties

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Semialgebraic set

Nodes47
Edges46
Triples13
Avg. degree1.96
Density0.042553
Components1

How this topic connects Entity context

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Semialgebraic set

Top relations

related to Properties · 6
Semialgebraic set → Finally, Furthermore, Seidenberg, Similarly, Tarski, These
related to Dimension 1 · 4
Semialgebraic set → Conversely, For, In, Then
is a · 2
Semialgebraic set → set defined by polynomial equalities and polynomial inequalities, union a finite number of intervals whose end points are algebraic numbers
related to Definition · 1
Semialgebraic set → Let

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Important terminology

semialgebraic set sets displaystyle basic algebraic union land alpha definition root finite numbers defined real mid points inequality mathbb form

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Semialgebraic setis aset defined by polynomial equalities and polynomial inequalities0.90text
Semialgebraic setis aunion a finite number of intervals whose end points are algebraic numbers0.90text
Semialgebraic setrelated to DefinitionLet0.60section
Semialgebraic setrelated to Dimension 1In0.60section
Semialgebraic setrelated to Dimension 1Conversely0.60section
Semialgebraic setrelated to Dimension 1For0.60section
Semialgebraic setrelated to Dimension 1Then0.60section
Semialgebraic setrelated to PropertiesSimilarly0.60section
Semialgebraic setrelated to PropertiesFurthermore0.60section
Semialgebraic setrelated to PropertiesFinally0.60section
Semialgebraic setrelated to PropertiesTarski0.60section
Semialgebraic setrelated to PropertiesSeidenberg0.60section

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    Min side: 3
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