Texas Instruments TI-89 Titanium User Manual page 781

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()
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 list2
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:
list1
c1–c99 (columns in the last data variable shown in
the Data/Matrix Editor).
variable name and cannot be c1–c99.
cumSum()
MATH/List menu
) ⇒
list1
cumSum(
Returns a list of the cumulative sums of the
elements in
) ⇒
matrix1
cumSum(
Returns a matrix of the cumulative sums of the
elements in
sum of the column from top to bottom.
778
uses Gaussian elimination to attempt to
determines at most one solution using an
[ ]
list3 list4 list5
, [ ] [, , ]
through must be a variable name or
list4
does not have to be a
list5
list
, starting at element 1.
list1
matrix
. Each element is the cumulative
matrix1
cSolve(u_+v_= e ^(w_) and u_ì v_=
i , {u_,v_}) ¸
w_
e
u_= +1/2ø
2
cSolve( e ^(z_)=w_ and w_=z_^2,
{w_,z_}) ¸
w_=.494... and z_=ë.703...
cSolve( e ^(z_)=w_ and w_=z_^2,
i }) ¸
{w_,z_=1+
w_=.149... + 4.891...ø
z_=1.588... + 1.540...ø
In function graphing mode.
{0,1,2,3}! L1 ¸
{0,2,3,4}! L2 ¸
CubicReg L1,L2 ¸
ShowStat ¸
¸
regeq(x)"y1(x) ¸
NewPlot 1,1,L1,L2 ¸
¥ %
cumSum({1,2,3,4}) ¸
[1,2;3,4;5,6]! m1 ¸
cumSum(m1) ¸
Appendix A: Functions and Instructions
w_ ì
e i
i
and v_=
2
i and
i
{0 1 2 3}
{0 2 3 4}
Done
Done
Done
{1 3 6 10}
 
1 2
 
3 4
 
5 6
 
1 2
 
4 6
 
9 12