Eos™ (Equation Operating System) Hierarchy - Texas Instruments TI-Nspire CAS Reference Manual

EOS™ (Equation Operating System) Hierarchy
This section describes the Equation Operating System (EOS™) that is used by the
TI-Nspire™ CAS math and science learning technology. Numbers, variables, and
functions are entered in a simple, straightforward sequence. EOS™ software evaluates
expressions and equations using parenthetical grouping and according to the priorities
described below.
Order of Evaluation
Level Operator
1 Parentheses ( ), brackets [ ], braces { }
2 Indirection (#)
3 Function calls
4 Post operators: degrees-minutes-seconds ( ° ,',"), factorial (!), percentage
(%), radian (
5 Exponentiation, power operator (^)
Negation ( ⁻ )
6
7 String concatenation (&)
8 Multiplication ( • ), division (/)
9 Addition (+), subtraction (-)
10 Equality relations: equal (=), not equal ( ≠ or /=),
less than (<), less than or equal ( ≤ or <=), greater than (>), greater than or
equal ( ≥ or >=)
11 Logical not
12 Logical and
13 Logical or
14 , nor , nand
xor
Logical implication ( ⇒ )
15
Logical double implication, XNOR ( ⇔ )
16
17 Constraint operator ("|")
18 Store ( → )
Parentheses, Brackets, and Braces
All calculations inside a pair of parentheses, brackets, or braces are evaluated first. For
example, in the expression 4(1+2), EOS™ software first evaluates the portion of the
expression inside the parentheses, 1+2, and then multiplies the result, 3, by 4.
236 EOS™ (Equation Operating System) Hierarchy
r
), subscript ([ ]), transpose (
T
)