Emendatio ex 03:20, 2 Novembris 2009 recensere Rafaelgarcia (disputatio \| conlationes) Magistratus 22 242 edits m movit Polyonymon ad Polynomium: vid disp ← Differentia superior		Emendatio ex 03:25, 2 Novembris 2009 recensere abrogare Rafaelgarcia (disputatio \| conlationes) Magistratus 22 242 edits No edit summary Differentia proxima →
Linea 1: [[Fasciculus:Polynomialdeg5.svg\|thumb\|[[Graphum]] Polyonymi gradus quinti]] '''~~Polyonymon~~Polynonium'''<ref>Fons huius nominis in ''Lateinisch-deutsches Handwörterbuch: polyonymos. Georges: Lateinisch-Deutsch / Deutsch-Lateinisch, S. 43404 (vgl. Georges-LDHW Bd. 2, S. 1764)'' inventus : Prisc. 15, 38. et Consent. 341, 18 K. </ref> in [[mathematica]] omnis [[functio]] formae <br> <math> f(x)= \sum_{i=0}^n a_i \cdot x^{i}=a_n \cdot x^n+a_{n-1}\cdot x^{n-1}+\dots+a_1 \cdot x+a_0,</math> </br> (ubi est <math>n \in \mathbb N, a_i \in \mathbb R</math>) appellatur. <math> n </math> appellatur gradus ~~polyonymi~~polynomii. ==Proprietates== Omnis functio ~~polyonymi~~polynomialis [[continuitas\|continua]] est et differentiabilis. [[Functio differentiabilis\|Derivatio]] ~~polyonymi~~polynomii est (secundum regulam [[additio\|summae]] et [[factor\|factoris]] [[functio differentiabilis\|functionis differentiabilis]]): <math> f\!\,'(x)= \left( \sum_{i=0}^n a_i \cdot x^{i} \right)^{\!\,'}= \sum_{i=1}^{n-1} a_i \cdot i \cdot x^{i-1}=a_n \cdot n \cdot x^{n-1} + a_{n-1}\cdot (n-1) \cdot x^{n-2}+\dots+a_1 </math> Linea 17: '''Exempla''' * ~~Polyonymon~~Polynomium <math> f(x)= 17x^4-7x^2-3 </math> est symmetricum ad axem verticalem, quae aequatione <math>x=0 </math> datur. *~~Polyonymon~~Polynomium <math> f(x)= 8x^5-7x </math> est symmetricum ad punctum originis (0/,0). ==Notae==

Quantum redactiones paginae "Polynomium" differant