How to keep result one-dimensional even after multiplication?

New to Julia
, ,
1

I am trying several functions who include vectors as variable. The variable (x) is

x= [2.0:0.5:5.0;]

I like to define the following kinds of functions:

f(x) = (x .+ 0.07im)/2.3;
g(x) = (1/f(x)).^2
h(x)  = g(x) .* (2 .- (1 .+ f(x)).^0.5 - (1 .- f(x)).^0.5)

In this case, the function h becomes 7x7 squared matrix, which I do not wish.
One dimensional vector is preferable for me. If I append [1] at the last part of h(x)
statement, I can work it around somehow.
To be honest, I prefer keeping my codes as simple as possible.
Removing “a dot before asterisk” resulted in a matrix having only one element,
which turns also out to be useless. Any idea?

2

While ones(3) / 3 scales the vector, the same as ./ broadcasting, y = 3 / ones(3) solves a linear system such that y * ones(3) == 3 where * means matrix multiplication. You might be looking for @., to apply all functions element-wise.

3

Thanks a lot. I will learn again about mapping and broadcasting. I think removing dots from function definitions and apply dot in the final calculation like h.(x). I will try it.

4

Yes, that is exactly the right approach. Define your functions for scalar input, and use dots when you call them. That is both cleanest and best for performance.