An algebraic object is recognized as an indeterminate when it can be a (so-called) variable in polynomials. An ordinary indeterminate is usually denoted by a string that start with a small alphabetical letter followed by an arbitrary number of alphabetical letters, digits or `_'. In addition to such ordinary indeterminates, there are other kinds of indeterminates in a wider sense in Asir. Such indeterminates in the wider sense have type polynomial, and further are classified into sub-types of the type indeterminate.
0
[0] [vtype(a),vtype(aA_12)]; [0,0]
1
uc()
creates an indeterminate which is denoted by
a string that begins with `_'. Such an indeterminate cannot be
directly input by its name. Other properties are the same as those of
ordinary indeterminate. Therefore, it has a property that it cannot
cause collision with the name of ordinary indeterminates input by the
user. And this property is conveniently used to create undetermined
coefficients dynamically by programs.
[1] U=uc(); _0 [2] vtype(U); 1
2
sin(x)
and cos(x+1)
will remain as if they
were not evaluated. These (unevaluated) forms are called
`function forms' and are treated as if they are indeterminates in a
wider sense. Also, special forms such as @pi
the ratio of
circumference and diameter, and @e
Napier's number, will be
treated as `function forms.'
[3] V=sin(x); sin(x) [4] vtype(V); 2 [5] vars(V^2+V+1); [sin(x)]
3
[6] vtype(sin); 3
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