Calculus Notation from 1950s: Meaning of A/B & cos[mθ]/sin[mθ]

[honestliar62]

I was reading a journal article from the 50s and came across some calculus notation that I do not know. Here is a link to the equation:
http://i41.tinypic.com/s12k1t.jpg
In equation 19, the constants A and B are shown on top of each other (same with cos[mθ] and sin[mθ]). What does this notation signify? Thanks!

 

[Mark44]

I was reading a journal article from the 50s and came across some calculus notation that I do not know. Here is a link to the equation:
http://i41.tinypic.com/s12k1t.jpg
In equation 19, the constants A and B are shown on top of each other (same with cos[mθ] and sin[mθ]). What does this notation signify? Thanks!

I've never seen that notation before, but here's my guess at what it means. Rather than writing two equations that are nearly identical, they're writing both equations. In the first equation, A is of interest, along with cos(mθ). In the second equation, B is of interest, along with sin(mθ). Again, this is just a guess on my part.

 

[arildno]

Agrre with Mark44.

These are most likely Fourier (-like) coefficients to be computed for J_m

 

[DeIdeal]

I have actually seen the same notation used before (Brehm & Mullin - Introduction to the Structure of Matter comes to mind, I remember finding it peculiar myself when I was reading the book), only with the curly brackets {} surrounding the "choices", and I'm almost certain it's what Mark44 said. It's just a shorthand for writing the two equations separately.

 

[honestliar62]

I see. Thank you guys!