creating a nested array

[TG_8255675]

I would like to write a program to create a nested array. I have a column vector containing angle values. I want to iterate through this vector and create an array of arrays with each element being [cos(angle) sin(angle)]. I am sure this is not difficult, but the syntax is not clear to me at present. I think I have been writing python programs for too long.

Thanks in advance for any help

[StuartBruff]

Do you want to create an array where each single value is nested? Or, say, an array of vectors containing the sines in a single vector, the cosines, etc? Or a nested vector containing the trig values for each element of the original vector?  Or …?

Out of interest, why do you need to create a nested array rather than a flst matrix?

(Oh, and what version of Mathcad are you using?)

[TG_8255675]

I am using Prime11. Basically I am trying to create a list of lists.

I have a vector comprised of angular values for an element in a machine I am designing. For each angular value in this vector, I want to create another vector where each piecewise element is a 1x1 vector like this: [cos(angle) sin(angle)]. Each element is a unit vector that I will use in subsequent calculations for dot products with other similarly constructed elements. Hoping this makes sense and I appreciate you taking an interest.

[StuartBruff]

Written in Mathcad 10, but it should work in Mathcad 11.  Just use a direct matrix form to create your nested array pair.   If you want an indexed or programmed version, that's not a problem, but this is possibly the most "Mathcaddy" way of doing it.

You might find it easier to work with the nested column vector form, depending upon your algorithm.

Stuart

[TG_8255675 · Accepted solution]

Fantastic. Thank you very much.

[StuartBruff]

No worries.

[Werner_E]

Here's an alternative approach using a utility function and vectorization:

If you more like programming, you can use a for-loop, which basically is the very same what Stuart had achieved using a range variable.