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News on quadratic polynomials

Schnappschüsse moderner Mathematik aus Oberwolfach

News on quadratic polynomials

Many problems in mathematics have remained unsolved because of missing links between mathematical disciplines, such as algebra, geometry, analysis, or number theory. Here we introduce a recently discovered result concerning quadratic polynomials, which uses a bridge between algebra and analysis. We study the iterations of quadratic polynomials, obtained by computing the value of a polynomial for a given number and feeding the outcome into the exact same polynomial again. These iterations of polynomials have interesting applications, such as in fractal theory. 

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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis

Autor(en)

Lukas Pottmeyer

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2017-002-EN

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snapshot-2017-002.pdf

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snapshots: overview

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      Mathematisches Fachgebiet

      Algebra und Zahlentheorie
      Analysis
      Didaktik und Bildung
      Diskrete Mathematik und Grundlagen
      Geometrie und Topologie
      Numerik und Wissenschaftliches Rechnen
      Wahrscheinlichkeitstheorie und Statistik

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