The scale data structure
The scale data structure is used to represent asymptotic scales (see MultiSeries for a definition).
A scale is represented as a table whose entries are:
The ordered list of functions in the scale;
the name of the first function having entered the scale;
the name of the variable given by the user;
the expression of this variable in terms of 'variable';
a table of the logarithms of the functions in the scale.
The functions in the scale are represented using the global name _var with three arguments. Thus, _var⁡x,a,expr means that the function occurs in an expansion in the variable x at the point a, and expr is the expression of the function.
Scales being stored as tables, they can be extended during a computation.
Currently, only operations between multiseries expressed in the same scale are supported.
scale ≔ op⁡1,multiseries⁡x,x=∞:
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