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Differential operators in projective coordinates

✍ Scribed by André Deprit; Jesús Palacián


Book ID
104363454
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
330 KB
Volume
20
Category
Article
ISSN
0960-0779

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✦ Synopsis


The singularities along the polar axis induced by the spherical coordinates can be circumvented with the use of the projective coordinates, replacing besides cumbersome trigonometric manipulations by elementary algebraic operations of vectorial nature. New formulas in projective coordinates for the gradient, curl, divergence, Jacobian, Laplacian and Hessian are also provided.


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