Tensoren und einfachste Tensoroperationen

Adalbert Duschek and August Hochrainer
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Adalbert Duschek: Technischen Hochschule Wien
August Hochrainer: Hochspannungsinstitut der Aeg

Chapter § 10 in Grundzüge der Tensorrechnung in Analytischer Darstellung, 1954, pp 56-66 from Springer

Abstract: Zusammenfassung Wir definieren also die Tensoren durch das Verhalten ihrer Koordinaten bei Ausführung einer Bewegung des Koordinatensystems, die durch 10,01 x i = a i j x j ¯ + b i ]] a i j a i h = δ j h ]] a h i a j i = δ h j ]] A i = y i − x i ]] x i ¯ , y i ¯ ]] A i = y i − x i = ( a i j y j ¯ + b i ) − ( a i j + b i ) = a i j ( y i ¯ − x j ¯ ) ; ]] A i ¯ = y i ¯ − x i ¯ ]] A i = a i j A j ¯ ]] a i h A i ¯ = a i h a i j A ¯ = δ h j A j ¯ = A h ¯ ]] A i ¯ = a j h A j ¯ ]]

Date: 1954
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DOI: 10.1007/978-3-7091-4472-5_11

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