170 Appendix A: Functions and Instructions
CyclePic CATALOG
CyclePic
picNameString
,
n
[
,
[
wait
] ,
[
cycles
]
,
[
direction
]]
Displays all the PIC variables specified and at the
specified interval. The user has optional control
over the time between pictures, the number of
times to cycle through the pictures, and the
direction to go, circular or forward and
backwards.
direction
is 1 for circular or ë 1 for forward and
backwards. Default = 1.
1. Save three pics named
pic1, pic2, and
pic3.
2. Enter:
CyclePic "pic",3,.5,4,ë1
3. The three pictures (3) will be displayed
automatically—one-half second (
.5)
between pictures, for four cycles (
4), and
forward and backwards (
ë1).
4Cylind MATH/Matrix/Vector ops menu
vector
4Cylind
Displays the row or column vector in cylindrical
form [r∠q, z].
vector
must have exactly three elements. It can be
either a row or a column.
[2,2,3] 4Cylind ¸
[2ø ‡2 o
p
4
3]
cZeros() MATH/Algebra/Complex menu
cZeros(
expression
,
var
) ⇒
list
Returns a list of candidate real and non-real
values of
var
that make
expression
=0. cZeros()
does this by computing
exp8list(cSolve(
expression
=0,
var
),
var
).
Otherwise,
cZeros() is similar to zeros().
Note: See also
cSolve(), solve(), and zeros().
Display Digits mode in
Fix 3:
cZeros(x^5+4x^4+5x^3ì 6xì 3,x)
¸
{ë 2.125 ë.612 .965
ë 1.114
ì 1.073ø
i
ë 1.114 + 1.073ø
i
}
Note: If
expression
is non-polynomial with
functions such as
abs(), angle(), conj(), real(),
or
imag(), you should place an underscore _
(
@ ¥ q, H 2 q ) at the end of
var
. By
default, a variable is treated as a real value. If
you use
var
_ , the variable is treated as complex.
You should also use
var
_ for any other variables
in
expression
that might have unreal values.
Otherwise, you may receive unexpected results.
z is treated as real:
cZeros(conj(z)ì 1ì
i
,z) ¸
{1+
i
}
z_ is treated as complex:
cZeros(conj(z_)ì 1ì
i
,z_) ¸
{1ì
i
}
cZeros({
expression1
,
expression2
[,
…
] },
{
varOrGuess1
,
varOrGuess2
[,
…
] }) ⇒
matrix
Returns candidate positions where the
expressions are zero simultaneously. Each
varOrGuess
specifies an unknown whose value you
seek.
Optionally, you can specify an initial guess for a
variable. Each
varOrGuess
must have the form:
variable
– or –
variable
=
real or non-real number
For example, x is valid and so is x=3+
i
.
If all of the expressions are polynomials and you
do NOT specify any initial guesses,
cZeros() uses
the lexical Gröbner/Buchberger elimination
method to attempt to determine all complex
zeros.
Note: The following examples use an
underscore _ (
@ ¥ q, H 2 q) so
that the variables will be treated as complex.
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