how can i write this equation f(A,B)=1/(​(|AUB)(|A|​))*Σ(aEA)(​bEB) d(a,b)

i want to create a function who calculate with equation

[Walter Roberson]

Does the U in AUB mean union, ∪, A∪B ? Does AUB mean the size of the set A∪B ? Does ||A| mean the size of the set A ?

Does the E in aEA mean the membership function, ∈ ? Like is it perhaps a double summation,

 sum( a in A, sum(b in B, d(a,b) ) )

which is to say the sum of d over all pair-wise combinations of the elements of A and B ?

Answer 1

[Almas Adil]

for all your questions above my answer is yes except d(a,b) is derivative

[Walter Roberson]

The derivative of a with respect to b ?

Are A and B sets of variables? So with d(a,b) that would be 1 when a and b were the same, and 0 otherwise?

Are A and B functions, so d(a,b) might be an expression?

Is A a set of functions and B a set of variables?

[Almas Adil]

A AND B ARE SET OF VALUES

[Walter Roberson]

What does it mean to take the derivative of a value with respect to another value? The derivative of 7 with respect to 19 is not defined.

If they were sets of variable names then it could potentially make sense.