Newbie Engineer Seeks Feedback on Sets and Logic Decypherability

[RandomThinker]

Hi I'm a newbie. I'm an engineer trying to solve some practical problems related to particles. I'm trying to use sets and logic to create an environment where I can model these babies, and I'm new to set theory. For re-assurance (and I'm sure, some help), I'd be grateful if I could get some feedback as to whether some of these sets are decypherable. I hope that this is the right place to post this...

Here's one:

What I'm trying to say here is:

If the real value b (that is associated with the particle w_i) is a part of the real interval lambda_j (that is associated with lambda) then the w_i is a part of the set Lambda_j; this is to be applied to all particles w_i of the domain Omega...with the intention that the Lambda_J will be created with a 1 to 1 correspondence to lambda_j. I have created the Coordinate set C_Lambda because I want to use this when the random variables are created later, so it is a kind of property of Lambda.

Is this what you see?

Any feedback would be greatly appreciated.

 

[Valkarie]

Yes, that is what I see. It looks like you are trying to create a set where each element of the domain (Omega) is associated with an element of the interval (lambda_j), and then create a corresponding set (Lambda_j) with the same elements. The Coordinate set C_Lambda is then used to create random variables later on. Is this correct?