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PEM Fuel Cells by Ken S. Chen, Yun Wang

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Appendix III.B

Mathematical Basics and Relations* (Courtesy of John Wiley and Sons)

1. Definitions

(a) Dyadic product. 35570.jpg (35560.jpg is a tensor.)

(b) Double dot product.

35552.jpg 

(c) A tensor operating on a vector from the right yields a vector.

35544.jpg 

(d) Transpose of a tensor.

 

(e) Product of two tensors.

 

(f) The divergence of a tensor is a vector.

 

(g) Laplacian ...

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