stokes (version 1.2-0)

ex: Basis vectors in three-dimensional space

Description

Objects ex, ey and ez are the three elementary one-forms on three-dimensional space, sometimes denoted (e_x,e_y,e_z). These objects can be generated by running script vignettes/ex.Rmd, which includes some further discussion and technical documentation and creates file exeyez.rda which resides in the data/ directory.

Author

Robin K. S. Hankin

Details

See vignettes dx and exeyez for an extended discussion; a use-case is given in vector_cross_product.

References

• M. Spivak 1971. Calculus on manifolds, Addison-Wesley

See Also

d,print.kform

Examples

as.function(dx)(ex)

(X <- as.kform(matrix(1:12,nrow=4),c(1,2,7,11)))
as.function(X)(cbind(e(2,12),e(6,12),e(10,12)))