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to extend the previous example to two parallel
intersecting cylinders of radius r.
The cylinder solutions illustrate how families of
solutions might contain arbitrary constants of the
form @
through 255. The suffix resets to 1 when you use
ClrHome
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 the solution variables,
solve()
determine all real solutions.
If a system is neither polynomial in all of its
variables nor linear in its solution variables,
solve()
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.
Each solution variable starts at its guessed value
if there is one; otherwise, it starts at 0.0.
Use guesses to seek additional solutions one by
one. For convergence, a guess may have to be
rather close to a solution.
SortA
MATH/List menu
listName1
SortA
vectorName1
SortA
Sorts the elements of the first argument in
ascending order.
If you include additional arguments, sorts the
elements of each so that their new positions
match the new positions of the elements in the
first argument.
All arguments must be names of lists or vectors.
All arguments must have equal dimensions.
SortD
MATH/List menu
listName1
SortD
vectorName1
SortD
Identical to
elements in descending order.
880
k
k
, where
is an integer suffix from 1
or ƒ
8:Clear Home
list.
varOrGuess
uses Gaussian elimination to attempt to
determines at most one solution using an
listName2
listName3
[,
] [,
vectorName2
vectorName3
[,
] [,
listName2
listName3
[,
] [,
vectorName 2
vectorName 3
[,
] [,
, except
SortA
SortD
.
solve(x+
¸
solve(
¸
solve(
¸
{2,1,4,3} ! list1 ¸
] ...
SortA list1 ¸
] ...
list1 ¸
{4,3,2,1} ! list2 ¸
SortA list2,list1 ¸
list2 ¸
list1 ¸
{2,1,4,3} ! list1 ¸
] ...
{1,2,3,4} ! list2 ¸
] ...
SortD list1,list2 ¸
sorts the
list1 ¸
list2 ¸
Appendix A: Functions and Instructions
r
x=
and y=
2
r
or x=
and y=
2
^(z) ù y=1 and x ì y=sin(z),{x,y})
e
e
ø sin(z)+1
z
x=
and y=
e
+1
z
^(z) ù y=1 and ë y=sin(z),{y,z})
e
y=.041... and z=3.183...
^(z) ù y=1 and ë y=sin(z),{y,z=2 p })
e
y=.001... and z=6.281...
ø r
3
and z=@1
2
ø r
ë
3
and z=@1
2
ë (sin(z) ì 1)
e
+1
z
{2,1,4,3}
Done
{1 2 3 4}
{4 3 2 1}
Done
{1 2 3 4}
{4 3 2 1}
{2 1 4 3}
{1 2 3 4}
Done
{4 3 2 1}
{3 4 1 2}
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