What criteria determine the type of mathematical operator used in a formula?

[electrous]

we have ,
W=F(m)
here W is function of m
how do we define the fuction f as only as multiplication if this formula represent weight of the body. is there any criteria for mathmatical oprators to be addition, subtraction , multiplecation or division pleasezz explian..

 

[Astronuc]

Well, weight is a vector, and the operation with m (where m is mass, which is a scalar) is m * g, where g is the local acceleration due to gravity, a vector. Addition, subtraction, multiplication and division (+, -, *, /) are dyadic operators which 'operate or provide a relationship between 'two' operands.

Please refer to -
http://www.maxonline.lsu.edu/pages/MFguide/Algebraic/Algebraic.pdf

 

[electrous]

in equatiion W=f(m), the function can be successfully expressed as +ve, -ve, multiplicion and its inverse, then my question is why we consider function f as multipliction and why not others.
your reply about "how to know ", I like it.
sir if we consider the function as +ve , we get a new value of f which will satisfy all conditions , this will have happen in all cases.
I want , I think there must be a criteria,to know about it.

 

[matt grime]

we have ,
W=F(m)
here W is function of m
how do we define the fuction f as only as multiplication if this formula represent weight of the body. is there any criteria for mathmatical oprators to be addition, subtraction , multiplecation or division pleasezz explian..

I don't think we can explain, as the question doesn't make any sense.

 

[CRGreathouse]

I don't think we can explain, as the question doesn't make any sense.

My best guess is confusion between the implicit multiplication (x)(y) and the functional notation f(x).