Länge eines Vektors

Adalbert Duschek and August Hochrainer
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Adalbert Duschek: Technischen Hochschule Wien

Chapter § 5 in Grundƶüge der Tensorrechnung in Analytischer Darstellung, 1946, pp 26-29 from Springer

Abstract: Zusammenfassung Ein wichtiges Kennzeichen einer Strecke oder eines Vektors ist die Länge. Sie errechnet sich nach dem pythagoräischen >Lehrsatz, und wir bezeichnen sie mit dem gleichen Buchstaben wie die Koordinaten des Vektors, jedoch ohne Index : (5, 01) % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX! % MathType!MTEF!2!1!+- % feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyqaiabg2 % da9maakaaabaWaaeWaaeaacaWG5bWaaSbaaSqaaiaaigdaaeqaaOGa % eyOeI0IaamiEamaaBaaaleaacaaIXaaabeaaaOGaayjkaiaawMcaam % aaCaaaleqabaGaaGOmaaaakiabgUcaRmaabmaabaGaamyEamaaBaaa % leaacaaIYaaabeaakiabgkHiTiaadIhadaWgaaWcbaGaaGOmaaqaba % aakiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGHRaWkdaqa % daqaaiaadMhadaWgaaWcbaGaaG4maaqabaGccqGHsislcaWG4bWaaS % baaSqaaiaaiodaaeqaaaGccaGLOaGaayzkaaWaaWbaaSqabeaacaaI % YaaaaaqabaGccqGH9aqpdaGcaaqaamaaqahabaWaaeWaaeaacaWG5b % WaaSbaaSqaaiaadMgaaeqaaOGaeyOeI0IaamiEamaaBaaaleaacaWG % PbaabeaaaOGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaeaaca % WGPbGaeyypa0JaaGymaaqaaiaaiodaa0GaeyyeIuoaaSqabaGccqGH % 9aqpdaGcaaqaamaaqahabaGaamyqamaaDaaaleaacaWGPbaabaGaaG % OmaaaaaeaacaWGPbGaeyypa0JaaGymaaqaaiaaiodaa0GaeyyeIuoa % aSqabaaaaa!673B! \[A = \sqrt {{{\left( {{y_1} - {x_1}} \right)}^2} + {{\left( {{y_2} - {x_2}} \right)}^2} + {{\left( {{y_3} - {x_3}} \right)}^2}} = \sqrt {\sum\limits_{i = 1}^3 {{{\left( {{y_i} - {x_i}} \right)}^2}} } = \sqrt {\sum\limits_{i = 1}^3 {A_i^2} } \]$$

Date: 1946
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DOI: 10.1007/978-3-7091-3476-4_6

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