Set of constant identifiers in MuPAD

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contains(Type::ConstantIdents, obj)


Type::ConstantIdents is the set { CATALAN , E , EULER , I , PI }.

Type::ConstantIdents is the set of identifiers that represent constants. As of version 4.0, these are CATALAN, E (= exp(1)), EULER, I, PI.

These constants will be returned by the function indets, but they cannot be treated like other identifiers. For example, they cannot have properties or be the left-hand side of an assignment.

See Example 1 for an application.

Type::Constant makes use of Type::ConstantIdents, see Example 2.


Example 1

MuPAD® implements π as the identifier PI.


However, PI is constant:

testtype(PI, Type::Constant)

Still, indets regards PI as an identifier with no value (which is syntactically correct), and you can even use PI as an indeterminate of a polynomial:


To find the “real” indeterminates, use the following call:

indets(PI/2*x) minus Type::ConstantIdents

Example 2

In the following, the solve command solves for all identifiers found in the equation:

solve(x^2 = KHINTCHINE)

Assume you want MuPAD to regard the identifier KHINTCHINE as a constant. (Probably, it should represent the Khintchine constant K, which is approximately 2.685452.) First of all, you should make sure that the identifier does not have a value yet and protect it:

protect(KHINTCHINE, ProtectLevelError)

Next, add KHINTCHINE to Type::ConstantIdents (note that we have to unprotect the identifier Type, because Type::ConstantIdents is a slot of it):

old_protection := unprotect(Type):
Type::ConstantIdents := Type::ConstantIdents union {KHINTCHINE}:
protect(Type, old_protection):

Now, MuPAD regards KHINTCHINE as a constant:

testtype(sin(PI + KHINTCHINE), Type::Constant)

After clearing the remember table of solve, we now obtain:

solve(Remember, Clear):
solve(x^2 = KHINTCHINE)



Any MuPAD object

Return Values

See contains

See Also

MuPAD Functions