I have here a function
"sin(x)/x"
and suppose sin(x)/x = 0
Can I now use MapleAI to retrieve the correct command for this in Maple..could I?
The intersection points with the x-axis are positive and negative multiples of Pi
I have put these in an ordered list, but Maple gives this:
For x domain = -20...20
X := {x = Pi}, {x = 2*Pi}, {x = 3*Pi}, {x = 4*Pi}, {x = 5*Pi}, {x = 6*Pi}, {x = -6*Pi}, {x = -5*Pi}, {x = -4*Pi}, {x = -3*Pi}, {x = -2*Pi}, {x = -Pi};
X := sort(eval~(x, [X]));
X := [**Pi**, -6 Pi, -5 Pi, -4 Pi, -3 Pi, -2 Pi, -Pi, 2 Pi, 3 Pi, 4 Pi, 5 Pi, 6 Pi]
A strange ranking that Maple comes up with ?
with(NaturalLanguage);
[**Explain**, **GetCommand**, GetMath, Query, RawQuery]
**GetCommand**("give for Maple solve command all options?");
"solve(equations, variables, options);"
**Explain**("give for Maple solve command all options?");
"Maple is a symbolic and numeric computing environment. Its
"solve" command is used to find solutions (roots) of a given
equation or a system of equations.
There are a number of options (or "parameters") which can be
specified in this command to alter its behavior:
1. `Allsolutions`: This option makes Maple to generate all
possible solutions of an equation.
2. `Real`: This option only provides the real solutions. If
equations do not have real solutions, it will return an
empty set.
3. `Positive`: It only includes positive solutions in the
output.
4. `explicit`: If specified, Maple attempts to isolate roots
and provide an explicit solution for each variable.
5. `assume = real`: This option restrict the solutions to
only real numbers.
6. `parametric`: This option allows Maple to write the
solutions in a parametric form.
7. `avoid ={x = a}`: This option makes solve exclude the
possibility `x = a` as a solution.
8. `MaxDegree = d`: This option allows you to limit the
degree of the polynomial equations to be considered.
9. `maxdepth = d`: This sets a limit on recursive depth to
which the computation should go to seek a solution.
10. `multiplicities`: This option reports multiplicity of the
roots.
11. `solutions = vars`: This option tells Maple to look for
solutions for specific variables.
12. `numeric`: This option makes solve find a numeric
solution to the equation.
13. `symbolic`: This option makes solve find a symbolic
solution to the equation.
14. `simplify`: This option simplifies the solutions returned
by solve.
15. `sqrt`: This option allows square roots in the output.
It is important to note that not all options are suited for
use with all types of equations. Also, the "solve" command
in Maple can be occasionally limited by the complexity of
the equation, and may sometimes fail to find solutions that
more specialized software or methods can find."