Texas Instruments TI-89 Manuale Utente
Symbolic Manipulation
253
Specifying Domain Constraints
Specifying Domain Constraints
Specifying 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
expressions (either
m
ø
c
2
=e
or
c
2
ø
m=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.
expression is simplified.
No match for
substitution
substitution