Oh dear, I did not say u are wrong but rather incomplete.
1stly, a function is sufficient condition to ensure
relationship. A relation is neccesarry condition for function but
not sufficient though.
So, it is really incomplete to say that a function is a function
of "x" say if other variables are also of importance.
From ur post about temperature of water, pressure and stuff are
equally important physical variables.
y = g(x,z), and f(x) =
g(x,z).means y = f(x) is correct only if "z" is not an
explicit variable or the set "x" is capable of spanning the set "z"
. In short, if 2 variables are independent, then it must be
explicitly stated to give the true image.
And pressure cannot be span by the basis of "heat supplied" set.
That is why I say there is a need for greater clarification.
BTW, this are not of importance now...I am way digressing too
much. Sorry...
So, it is really incomplete to say that a function is a function
of "x" say if other variables are also of importance.
Yes, I did agree with you it is incomplete. But it is not wrong.
There's the difference between being incomplete and being
wrong.
But this is what you have said
it is definitely wrong
to say Hamiltonian is a function of time and stopping there.
It is an incomplete portray of what Hamitlonian Function is.
Yes, it is an incomplete portrayal, but it is not wrong to say
it.
