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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
If you do not include any guesses and if any
equation is non-polynomial in any variable but all
equations are linear in all solution variables,
cSolve()
determine all solutions.
If a system is neither polynomial in all of its
variables nor linear in its solution variables,
cSolve()
an approximate iterative method. To do so, the
number of solution variables must equal the
number of equations, and all other variables in
the equations must simplify to numbers.
A non-real guess is often necessary to determine
a non-real solution. For convergence, a guess
might have to be rather close to a solution.
CubicReg
MATH/Statistics/Regressions menu
list1
CubicReg
Calculates the cubic polynomial regression and
updates all the statistics variables.
All the lists must have equal dimensions except
for
list5
represents xlist.
list1
represents ylist.
list2
represents frequency.
list3
represents category codes.
list4
represents category include list.
list5
Note:
or c1–c99 (columns in the last data variable
shown in the Data/Matrix Editor).
have to be a variable name and cannot be c1–c99
.
800
ClrHome
.
list.
varOrGuess
uses Gaussian elimination to attempt to
determines at most one solution using
[
list2
list3
list4
list5
,
, [
] [,
,
.
through
must be a variable name
list1
list4
cSolve(u_ù v_ì u_=v_ and
v_^2=ëu_,{u_,v_,w_}) ¸
k
, where
is an
k
or ƒ
or
cSolve(u_+v_=
¸
cSolve(
¸
cSolve(
¸
]
In function graphing mode.
]
{0,1,2,3}! L1 ¸
{0,2,3,4}! L2 ¸
CubicReg L1,L2 ¸
ShowStat ¸
¸
regeq(x)"y1(x) ¸
does not
list5
NewPlot 1,1,L1,L2 ¸
¥ %
Appendix A: Functions and Instructions
3
u_=1/2 +
and v_=1/2 ì
i
ø
2
3
u_=1/2 ì
and v_=1/2 +
i
ø
2
or u_=0 and v_=0 and w_=@1
^(w_) and u_ì v_=
e
e
w_
u_=
+1/2ø
2
^(z_)=w_ and w_=z_^2, {w_,z_})
e
w_=.494... and z_=ë.703...
^(z_)=w_ and w_=z_^2, {w_,z_=1+
e
w_=.149... + 4.891...ø
z_=1.588... + 1.540...ø
3
i
ø
2
and w_=@1
3
i
ø
2
and w_=@1
, {u_,v_})
i
e
ì i
w_
and v_=
i
2
})
i
and
i
i
{0 1 2 3}
{0 2 3 4}
Done
Done
Done
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