The discussion centers on error propagation in mathematical operations involving two variables, p and q, expressed as p=x±δx and q=y±δy. The participants clarify that R represents four distinct operations: addition (R=p+q), subtraction (R=p-q), multiplication (R=pq), and division (R=p/q). The standard error propagation method is applied to determine the error in R (δR) for each operation. The conversation highlights the importance of clear notation to avoid confusion regarding the simultaneous representation of R in multiple forms.
PREREQUISITESStudents, researchers, and professionals in fields such as physics, engineering, and statistics who require a solid understanding of error propagation in mathematical calculations.
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.Apashanka said:We define R=p+q,p-q,p/q,pq
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.mathman said:Mark44: I believe the question is for .four cases.