Addition, multiplication, divison and subtraction of error

[Apashanka]

If given two variable of the form p=x±δx and q=y±δy where δx and δy are the error obtained while measuring p and q and x and y are it's absolute value obtained.
We define R=p+q,p-q,p/q,pq
In each of this case I want to know what will be the error in R.(e.g δR)
Thank you

 

[mfb]

Use the standard error propagation.
A bit below that section there are examples that cover your cases.

 

[Mark44]

We define R=p+q,p-q,p/q,pq

Mathematically, this doesn't make much sense. I get what you're trying to say, but R can't simultaneously be the sum, difference, product, and quotient of two values.

 

[mathman]

Mark44: I believe the question is for .four cases.

 

[Mark44]

Mark44: I believe the question is for .four cases.

Yes, I understand that, but IMO R=p+q,p-q,p/q,pq is an abuse of notation where there is no explanation that this is shorthand.