🚀 go-pugleaf

Well, it looks like you figured it out... For those who are still 
confused, here is a quote from the Guidebook, revision 1992, page 1-8.

...EOS (Equation Operating System) evaluates functions...in this order:

* Functions entered after the argument (xý, %, conversions, etc)

* Powers and roots

* Implied multiplication where the second argument is a number, any type 
of variable or constant, or begins with open parenthesis (4A, A B, 
(A+B)4, 4(A+B))

* Single-argument functions that precede the argument (negation, û, sin, ln)

* Implied multiplication where the second argument is a multiargument 
function or a single argument function that precedes the argument ( 
2gcd(144,64), A sin 2)

* Permutations and combinations

* Multiplication and division

* Addition and subtraction.  An = in an expression, rather than an 
equation, is evaluated as -(.  For example, A+B=C+1 is evaluated as 
A+B-(C+1).

* Relational operators (==, >, etc)

* Boolean operator /and/.

* Boolean operators /or/ and /xor/.

Within a priority group, EOS evaluates functions from left to right.  
However, two or more single-argument functions that precede the same 
argument are evaluated right to left.  For example, sin fPart ln 8 is 
evaluated as sin(fPart(ln(8)).

Calculations within a pair of parentheses are evaluated first.  
Multiargument functions (gcd(144,64) or der1(sin ANG,ANG,ã), etc) are 
evaluated as they are encountered.

You can omit any right (close) parenthesis at the end of an expression.  
All "open" parenthetical elements are cloased automatically and 
preceding  the store (/->/) or conversion instructions.

I hope this clarifies the issue for anyone who was wondering.  After all, 
misunderstandings regarding the system can cause a lot of confusion.


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| Peter Kolbus                |  Quote for the day (week?)        |
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On Wed, 7 Dec 1994, Stuart Moskowitz wrote:

> NO NO!! I used to say this too, but the 82 and 85 (not the 81) give implied 
> multiiplication with paraentheses higher priority than square roots and 
> other calculator defined functions.

> > > I am having a problem evaluating expressions with sinX and
> > > square roots. I get DIFFERENT answers for expressions like
> > > sinXsq rt3, sinsq rt 3 X, sq rt 3 sin X, sq rt3(sinX), etc.
> > > What is the rule? It is NOT OBVIOUS!