About a formula of analysis.
type: Item
instance of: scholarly article
title: About a formula of analysis.
zbMATH Open document ID: 02.0281.01
published in: Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Paris
publication date: 1870-01-01T00:00:00Z
full work available at URL: bpt6k30279.f1167
review text: Mittheilung folgenden Satzes ohne Beweis: ``Sind \(a_1 , a_2 , \dots, a_m ,\dots, a_N \) beliebige Grössen, bezeichnet man ferner ihre Summe mit \(S\) und für einen beliebigen Index \(m\) \(A_m = S - a_m\), so ist die Determinante \[ \varDelta = \left|\begin{matrix} - A_1 + x & .... & a_2 & .... & a_m & .... & a_N \\ a_1 & .... & -A_2 + x & .... & a_m & .... & a_N \\ \hdotsfor7\\ a_1 & .... & a_2 & .... & -A_m + x & .... & a_N \\ a_1 & .... & a_2 & .... & a_m & .... & -A_N + x \end{matrix}\right| = x{(x-S)^{N-1}}\,.^{\text{''}} \]
reviewed by: Dr. Ohrtmann
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 12D05
Mathematics Subject Classification ID: 14P05
zbMATH DE Number: 2721441
zbMATH Keywords: Formula of analysis
zbMATH Keywords: determinant
MaRDI profile type: Publication
author: Félix Lucas
description: scientific article; zbMATH DE number 2721441