Texas Instruments TI-89 Titanium User Manual page 888

| @ Í
("with")
key
expression Boolean expression1 [ and Boolean
|
expression2 ] ... [ and Boolean expressionN ]
The "with" (|) symbol serves as a binary operator.
The operand to the left of | is an expression. The
operand to the right of | specifies one or more
relations that are intended to affect the simplification
of the expression. Multiple relations after | must be
joined by a logical "and".
The "with" operator provides three basic types of
functionality: substitutions, interval constraints, and
exclusions.
Substitutions are in the form of an equality, such as
or
x=3 y=sin(x)
should be a simple variable.
will substitute
value
in
variable
Interval constraints take the form of one or more
inequalities joined by logical "and" operators.
Interval constraints also permit simplification that
otherwise might be invalid or not computable.
Exclusions use the "not equals" (/= or ƒ) relational
operator to exclude a specific value from
consideration. They are used primarily to exclude an
exact solution when using
,
fMax() fMin()
!
§
(store)
key
expression ! var
list ! var
matrix ! var
!
expression fun_name(parameter1,...)
list ! fun_name(parameter1,...)
matrix ! fun_name(parameter1,...)
If variable
initializes it to
If already exists and if it is not locked or
var
protected, replaces its contents with
or .
matrix
Hint: If you plan to do symbolic computations using
undefined variables, avoid storing anything into
commonly used, one-letter variables such as a, b, c,
x, y, z, etc.
Appendix A: Functions and Instructions
H
2 Í key
. To be most effective, the left side
expression
for every occurrence of
value
.
expression
,
cSolve() cZeros()
, , , etc.
solve() zeros()
does not exist, creates
var var
, , or .
expression list matrix
expression
x+1| x=3 ¸
x+y| x=sin(y) ¸
x+y| sin(y)=x ¸
x^3ì 2x+7! f(x) ¸
f(x)| x=‡(3) ¸
| =
variable
(sin(x))^2+2sin(x)ì 6| sin(x)=d
¸
solve(x^2ì 1=0,x)|x>0 and x<2
¸
‡(x)ù ‡(1/x)|x>0 ¸
‡(x)ù ‡(1/x) ¸
solve(x^2ì 1=0,x)| xƒ1 ¸x = ë 1
,
p/4! myvar ¸
2cos(x)! Y1(x) ¸
{1,2,3,4}! Lst5 ¸
and
[1,2,3;4,5,6]! MatG ¸
"Hello"! str1 ¸
, ,
list
4
sin(y) + y
x + y
Done
‡3 + 7
dñ +2dì 6
x = 1
1
1
x ø x
p
4
Done
{1 2 3 4}
1 2 3
[ ]
4 5 6
"Hello"
885