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| There is an important difference between the [[LinearAlgebra/Transposition|transposition]] operator `'` and the function `transpose()`. The former gives the ''complex conjugate'' transposition, by which a complex number as ''a + bi'' is transposed to ''a - bi''. The latter is the ''non-conjugate'' transposition and does not flip any signs. | Note that the [[LinearAlgebra/Transposition|transposition]] operator `'` gives the [[LinearAlgebra/MatrixConjugation|Hermitian transposition]], while the function `transpose()` gives the ''non-conjugate'' transposition. |
Julia Operators
These are the operators supported by Julia.
Contents
Description
Most operators work as expected. Note that / performs floating point division whereas // performs exact rational division.
For the most part, prefixing an operator with a dot (.) causes element-wise operation. For example:
.* for element-wise multiplication
./ for element-wise division
.^ for element-wise power
To type the cross product operator, type \times and tab-complete. This is equivalent to calling the cross() function on two vector arguments.
Similarly, for the dot product operator, type \cdot and tab-complete. This is equivalent to calling the dot() function on two vector arguments.
Note that the transposition operator ' gives the Hermitian transposition, while the function transpose() gives the non-conjugate transposition.