As Ralf explained, there is condition which is crucial here. I make
almost no use of ')display' so it is hard for me give you advise on
use of ')display'. But one can extract information that you say
you want from HyperDoc. Type 'integrate' into browse box and
click 'operations'. You will get selection window, for most
detailed information click 'descriptions'. You will see list
of available declarations of 'integrate'. First position is
like what you have above with info:
Origin: UnivariteTaylorSeriesCategory(Coef)
Origin means that 'integrate' is defined in UnivariteTaylorSeriesCategory
so every domain D of category UnivariteTaylorSeriesCategory
is supposed to export 'integrate'. Of course, it is
natural to ask which domains are of category
UnivariteTaylorSeriesCategory?
If you clicki on UnivariteTaylorSeriesCategory you will get
window with information about UnivariteTaylorSeriesCategory.
At teh bottom there are choices, relevant is 'Domains'.
When you clik on it you will see list of domain constructors
which are of category UnivariteTaylorSeriesCategory.
I wrote "list of constructors" because domain constructors
take parameters and in principle single constructor may
produce infinite list of domains. But (currently) there are
only few hundreds of domain constructors.
If you are interested in all variants of 'integrate', then
you need to look at other descriotions. You will see that
one variant of integrate is only defined for
UnivariteTaylorSeries. Another only for
UnivariteLaurentSeries. That is somewhat unusual, normally
FriCAS operations are much more general, but sometimes
happens.
You will see that also domains of category
UnivariteLaurentSeriesCategory and
UnivaritePuiseausSeriesCategory export 'integrate'.
And domains of category 'UnivaritePolynomialCategory'.
Going down the description list you will find bunch of
other domains and categories.
In priciple one could autiomate this investigation via
categories and for each case of category produce list
of domains. ATM it is not done. One reason is that
nobody did this. Related possible reason is that
usually you are interested in specific variant of
'integrate' and want to prune irrelevant variants
as soon as possible. For example, if you are interested
in expressions, than clearly 'Series' in name shows that
given variant is irrelevant and you are led to
'FunctionSpaceIntegration'.
--
Waldek Hebisch