Maple - Explicit Set Definition & Natural Number Symbol

[f47box]

Hi,

I would like to know if is possible define a set rule explicitly.

ex.:
Define the set A explicitly where ξ = ℕ and A = {x | x < 3}.
The maplesoft said the (N) is a representation of Natural Numbers.



<sub>f:=proc()
local a,b;
a:=N;
b:= 3;
print(a<b);

end proc;</sub>



when I called a function f() the result is N < 3

How can I do to print the real numbers defined above? Is it possible define a set rule like above (like showed in books)?

Other exemple that I´m trying to get a boolean result is:



_{f:=proc()
local a,b;
a:=N;
b:= 3;
b in a;
end proc;}



when I called a function f() the result is b ∈ a (I expect "true" or "false").

 

[gtoguy97]

Yes, it is possible to define a set rule explicitly like the one in your example. In Maple, you can use the syntax Set[elem1, elem2, ...] to explicitly define a set. For example, for your first example, you could define the set A as follows: A := Set[x | x < 3]You can also use the command "member" to check if an element is a member of a set. For example, member(3,A);will return false, since 3 is not less than 3. Hope this helps!