Texas Instruments TI-89 Titanium Short User Manual page 173

If you use
complex.
You should also use
in
equation
Otherwise, you may receive unexpected results.
equation1
cSolve(
varOrGuess1
{
⇒
Boolean expression
Returns candidate complex solutions to the
simultaneous algebraic equations, where each
varOrGuess
solve for.
Optionally, you can specify an initial guess for a
variable. Each
variable
– or –
variable
For example,
If all of the equations are polynomials and if you
do NOT specify any initial guesses,
the lexical Gröbner/Buchberger elimination
method to attempt to determine all complex
solutions.
Complex solutions can include both real and non-
real solutions, as in the example to the right.
Simultaneous
extra variables that have no values, but represent
given numeric values that could be substituted
later.
You can also include solution variables that do
not appear in the equations. These solutions
show how families of solutions might contain
arbitrary constants of the form @
integer suffix from 1 through 255. The suffix
resets to 1 when you use
8:Clear Home
For polynomial systems, computation time or
memory exhaustion may depend strongly on the
order in which you list solution variables. If your
initial choice exhausts memory or your patience,
try rearranging the variables in the equations
and/or
Appendix A: Functions and Instructions
_ , the variable is treated as
var
_ for any other variables
var
that might have unreal values.
equation2
and [and
varOrGuess2 [ ... ]
, , })
specifies a variable that you want to
must have the form:
varOrGuess
= -
real or non real number
is valid and so is
x
polynomial
equations can have
ClrHome
.
list.
varOrGuess
z is treated as real:
cSolve(conj(z)=1+
z_ is treated as complex:
cSolve(conj(z_)=1+
...
],
i
.
x=3+
Note: The following examples use an
uses underscore _
cSolve()
@
H
treated as complex.
cSolve(u_ù v_ì u_=v_ and
v_^2=ë u_,{u_,v_}) ¸
or u_=1/2 ì
cSolve(u_ù v_ì u_=c_ù v_ and
v_^2=ë u_,{u_,v_}) ¸
u_=
or
u_=
cSolve(u_ù v_ì u_=v_ and
v_^2=ë u_,{u_,v_,w_}) ¸
k , where is an
k
or ƒ
or
i
¥
2
so that the variables will be
3
i
ø and v_=1/2 ì
u_=1/2 +
2
3
i
ø
and v_=1/2 +
2
or u_=0 and v_=0
ë( 1ì4øc_+1)
2
and v_= 1ì4øc_+1
4
ë( 1ì4øc_ì1)
2
and v_=
4
or u_=0 and v_=0
3
i
ø and v_=1/2 ì
u_=1/2 +
2
3
i
u_=1/2 ì ø and v_=1/2 +
2
or u_=0 and v_=0 and w_=@1
,z) ¸
i
z=1+
i
,z_) ¸
i
z_=1−
3
i
ø
2
3
i
ø
2
2
ë( 1ì4øc_ì1)
2
3
i
ø
2
and w_=@1
3
i
ø
2
and w_=@1
167