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> The hyperbolic functions cosh, sinh, tanh do not appear in the lua 5.3
> documentation any longer. But If I do the following : [...] as you can
> see they are still there. Is it on purpose ?

The hyperbolic functions have been deprecated in Lua 5.3.
They are still present because Lua 5.3 was built with 5.2 compatibility on.
This is the default setting in the lua.org Makefile but is not turned on
in luaconf.h. See http://lua-users.org/lists/lua-l/2014-10/msg00268.html .