- #1
Curran919
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I am an engineer student working in nuclear research. I am performing some experiments looking for an empirical equation to apply to results in a test section, but am having trouble making a mental leap. Here is the core of the problem with all of the engineering 'fat' trimmed off:
I have a variable with three dependents:
G = f(A,B,C)
I have shown that G is more or less linear WRT each variable for multiple values of the other variables (sorry, I'm an undergrad engineer, mathematic notation is lacking):
G=f(A) of O(1) for every B,C
G=f(B) of O(1) for every A,C
G=f(C) of O(1) for every A,B
I would like to say that because of this,
G = f(A)+g(B)+h(C)
or even,
G = aA+bB+cC+d where a,b,c,d are constants
but this would only be true if the slope of f(A) where constant regardless of B,C (and the same for f(B)/f(C)). Of course, it isn't. Is what I've said correct, and if so, is there an alternative conclusion I can make?
G = (A-a)(B-b)(C-c)?
I have a variable with three dependents:
G = f(A,B,C)
I have shown that G is more or less linear WRT each variable for multiple values of the other variables (sorry, I'm an undergrad engineer, mathematic notation is lacking):
G=f(A) of O(1) for every B,C
G=f(B) of O(1) for every A,C
G=f(C) of O(1) for every A,B
I would like to say that because of this,
G = f(A)+g(B)+h(C)
or even,
G = aA+bB+cC+d where a,b,c,d are constants
but this would only be true if the slope of f(A) where constant regardless of B,C (and the same for f(B)/f(C)). Of course, it isn't. Is what I've said correct, and if so, is there an alternative conclusion I can make?
G = (A-a)(B-b)(C-c)?