Texas Instruments TI-86 - Equation Operating System (Eosé); Implied Multiplication; Parentheses

Appendix
397
99APPX.DOC TI-86, Appendix, US English Bob Fedorisko Revised: 02/27/01 1:20 PM Printed: 02/27/01 1:26 PM Page 397 of 2699APPX.DOC TI-86, Appendix, US English Bob Fedorisko Revised: 02/27/01 1:20 PM Printed: 02/27/01 1:26 PM Page 397 of 26
Equation Operating System (EOS™)
The Equation Operating System (EOS) governs the order of evaluation on the TI
-
86.
Calculations within parentheses are evaluated first, and then EOS evaluates functions
within an expression in this order:
1st Functions that are entered after the argument, such as
2
,
M
1
,
!
,
¡
,
r
, and conversions
2nd Powers and roots, such as
2^5
or
5
x
‡
32
3rd Single-argument functions that precede the argument, such as
‡
(
,
sin(
, or
log(
4th Permutations (
nPr
) and combinations (
nCr
)
5th Multiplication, implied multiplication, and division
6th Addition and subtraction
7th Relational functions, such as
>
or

8th Logic operator
and
9th Logic operators
or
and
xor
Implied Multiplication
The TI
-
86 recognizes implied multiplication, so you need not press
M
to express
multiplication in all cases. For example, the TI
-
86 interprets
2
p
,
4sin(46)
,
5(1+2)
, and
(2
¹
5)7
as
implied multiplication.
Parentheses
All calculations inside a pair of parentheses are completed
first. For example, in the expression
4(1+2)
, EOS evaluates
1+2
inside the parentheses first, and then multiplies
3
by
4
.
Within a priority level, EOS
evaluates functions from left
to right.
Multi-argument functions,
such as
nDeriv(A2,A,6)
, are
evaluated as they are
encountered.
TI
-
86 implied multiplication
rules differ from those of the
TI-85. For example, the TI
-
86
evaluates
1
à
2x
as
(1
à
2)
¹
x
,
while the TI-85 evaluates
1
à
2x
as
1
à
(2
¹
x)
.