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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`

**ordinary indeterminate**

An object of this sub-type is denoted by a string that start with a small alphabetical letter followed by an arbitrary number of alphabetical letters, digits or ‘`_`’. This kind of indeterminates are most commonly used for variables of polynomials.[0] [vtype(a),vtype(aA_12)]; [0,0]

`1`

**undetermined coefficient**

The function`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`

**function form**

A function call to a built-in function or to an user defined function is usually evaluated by**Asir**and retained in a proper internal form. Some expressions, however, will remain in the same form after evaluation. For example,`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`

**functor**

A function call (or a function form) has a form`fname`(`args`). Here,`fname`alone is called a**functor**. There are several kinds of**functor**s: built-in functor, user defined functor and functor for the elementary functions. A functor alone is treated as an indeterminate in a wider sense.[6] vtype(sin); 3

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