|[ << ]||[ < ]||[ Up ]||[ > ]||[ >> ]||[Top]||[Contents]||[Index]||[ ? ]|
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.
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.
 [vtype(a),vtype(aA_12)]; [0,0]
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.
 U=uc(); _0  vtype(U); 1
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,
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.’
 V=sin(x); sin(x)  vtype(V); 2  vars(V^2+V+1); [sin(x)]
A function call (or a function form) has a form fname(args). Here, fname alone is called a functor. There are several kinds of functors: built-in functor, user defined functor and functor for the elementary functions. A functor alone is treated as an indeterminate in a wider sense.
 vtype(sin); 3
|[ << ]||[ < ]||[ Up ]||[ > ]||[ >> ]|
This document was generated on September 18, 2019 using texi2html 5.0.