By Zlatko Janković (auth.)
Read Online or Download Selected Topics and Applications of Tensor Analysis: Course Held at the Departments for Mechanics of Deformable Bodies and for Hydro-and Gasdynamics, June – July 1970 PDF
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Extra resources for Selected Topics and Applications of Tensor Analysis: Course Held at the Departments for Mechanics of Deformable Bodies and for Hydro-and Gasdynamics, June – July 1970
24 An Illustrative Particular Case ••••••••••• 29 Ref erences . . . . . . . . . . . . . . . . . . 37 5.
3 1. The Basic Assumptions of the Scheme ••••••. 6 2. The Transposition Operators ••••••••••••••• 10 3. The Absolute Differentials of the Transposition Operators ••••••••••••••••••• 16 4. The Transposition Operators in a Metric Space . . . . . . . . . . . . . . . 24 An Illustrative Particular Case ••••••••••• 29 Ref erences . . . . . . . . . . . . . . . . . . 37 5.
E~ J- = axk/ax,J = (e '. 5) are real quantities for real coordinates. We conclude with the remark that now the terms IIUp" and "down ll could be exchanged with the terms IIcovariant" and " c on tr-avariant", respectively, when referring to valences (opposite terms have to be used for component indices). In accordance with the usual convention these terms can be used for valenLes and vector and tensor components which are transformed 35 Remarks from the original system into the primed system of coordinate lines (or tangent basis vectors) with the transformation coefficients axk/ax,~ and ax'&lax k , respectively.
Selected Topics and Applications of Tensor Analysis: Course Held at the Departments for Mechanics of Deformable Bodies and for Hydro-and Gasdynamics, June – July 1970 by Zlatko Janković (auth.)