Texas Instruments Titanium TI-89 User Manual

Symbolic Manipulation 253
Specifying Domain Constraints
Specifying Domain ConstraintsSpecifying Domain Constraints
Specifying Domain Constraints
Many identities and transformations are valid for only a particular domain. For example:
Use the
“with” operator to specify the domain constraint.
- Substituting for more general
expressions (either
møc
2
=e
or
c
2
øm=e) may not work as you
anticipate.
Note: Use the solve function to help determine
the single-variable substitution.
ln(x†y) = ln(x) + ln(y) only if x and/or y is
not negative
Sin
-
1
(sin(q)) = q
only if q ‚ Lp
/2 and q
 p
/2 radians
Because ln(x†y) = ln(x) + ln(y) is not always valid,
the logarithms are not combined.
With a constraint, the identity is valid and the
expression is simplified.
No match for
substitution

Texas Instruments Titanium TI-89 Specifications

General

Display Type	LCD
Display Resolution	160 x 100 pixels
Memory	188 KB RAM, 2.7 MB Flash ROM
Type	Graphing Calculator
Display	Monochrome
Processor	Motorola 68000
Processor Speed	12 MHz
Power Source	4 AAA batteries
Connectivity	USB
Programming	TI-BASIC, Assembly
Operating System	AMS (Advanced Mathematics Software)