The Museum of HP Calculators

HP Forum Archive 21

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HP calculators: origin of prefix key labels f and g
Message #1 Posted by M Habl on 21 Nov 2012, 4:10 p.m.

I am wondering about the motivation of HP developers to label the prefix keys of the RPN calculators in the 70s and 80s by the letters f and g. Obviously, the reason was not absolutely substantive as later angled arrows were invented instead.

      
Re: HP calculators: origin of prefix key labels f and g
Message #2 Posted by Walter B on 21 Nov 2012, 4:17 p.m.,
in response to message #1 by M Habl

In mathematics, f and g are common names for arbitrary functions. The first appearance of these named prefixes was on the HP-65, which had f, f^(-1), and g, as you can see in this very museum. I think HP took these letters from math - but that's just my personal view.

            
Re: HP calculators: origin of prefix key labels f and g
Message #3 Posted by Gerson W. Barbosa on 21 Nov 2012, 4:27 p.m.,
in response to message #2 by Walter B

You are absolutely right.

            
Re: HP calculators: origin of prefix key labels f and g
Message #4 Posted by Eric Smith on 21 Nov 2012, 4:42 p.m.,
in response to message #2 by Walter B

I was a bit disappointed when they left the "f" designation off of the gold shift key on the HP-41C, but somehow I learned to cope. I was happy to see my old friends "f" and "g" again on the Voyager series.

                  
Re: HP calculators: origin of prefix key labels f and g
Message #5 Posted by Thomas Radtke on 22 Nov 2012, 1:16 a.m.,
in response to message #4 by Eric Smith

It all started with a gold key on the 45, so I take it as a reminicence to the classics. Other calculators like the 27S followed with a plain blue shift key for blue labelled functions.

            
Re: HP calculators: origin of prefix key labels f and g
Message #6 Posted by Luiz C. Vieira (Brazil) on 21 Nov 2012, 5:48 p.m.,
in response to message #2 by Walter B

I, too, follow your reasoning.

                  
Re: HP calculators: origin of prefix key labels f and g
Message #7 Posted by BobVA on 21 Nov 2012, 7:10 p.m.,
in response to message #6 by Luiz C. Vieira (Brazil)

My high school buddy and I shared a certain amount of astonishment when we saw the "h" shift on the HP-67. This was surely the last word in computation! :-)

Bob

      
Re: HP calculators: origin of prefix key labels f and g
Message #8 Posted by Eddie W. Shore on 21 Nov 2012, 7:02 p.m.,
in response to message #1 by M Habl

Quote:
I am wondering about the motivation of HP developers to label the prefix keys of the RPN calculators in the 70s and 80s by the letters f and g. Obviously, the reason was not absolutely substantive as later angled arrows were invented instead.


I don't know the official reason, but I always assumed that since f and g were common names for functions (f(x), g(x)), HP used f and g as names for alternate functions.

Eddie

      
Re: HP calculators: origin of prefix key labels f and g
Message #9 Posted by John M (Ottawa) on 21 Nov 2012, 7:52 p.m.,
in response to message #1 by M Habl

Now a better question - when did the practice of using f(x) and g(x) for functions originate? The earliest calculus textbook I have from late 1800s already used f(x) and g(x). Does this originate back to Sir Isaac Newton himself?

            
Re: HP calculators: origin of prefix key labels f and g
Message #10 Posted by Gerson W. Barbosa on 21 Nov 2012, 8:29 p.m.,
in response to message #9 by John M (Ottawa)

The notation f(x) for a function of x was first used by Leonard Euler, according to this book:

http://books.google.com.br/books?id=y5jOJLdblrkC&printsec=frontcover&dq=%22A+Wealth+of+Numbers%22&hl=en&sa=X&ei=036tUNf-CYnJ0QG-_IDoDg&ved=0CCoQ6AEwAA (see page 208)


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