I just want to ask what word can be put in replacement to the bolded phrase in: “This formula is not applicable in every situation and may vary.”
My first thought was the already mentioned
Universal, but a more obscure word could be:
Relevant everywhere, or to everything; always relevant.
Further thought evoked the memory of another candidate, albeit more for situations where the omnirelevant object has been intentionally altered to become:
[Rendered] universal [by design or modification].
adapted or adjustable to meet varied requirements (as of use, shape, or size)
a universal gear cutter
universal remote control
This would also fit nicely:
shared by, typical of, or relating to a whole group of similar things, rather than to any particular thing:
Source: Cambridge Dictionary
Also general or fully-general, especially in mathematics:
involving, relating to, or applicable to every member of a class, kind, or group
the general equation of a straight line
One option you have is to say what the equation is rather than what it isn’t, such as: “This equation applies only to a special case.”
Two words to indicate that something can work in multiple (though perhaps not all) cases are:
Multipurpose, according to Cambridge Dictionary:
A multipurpose tool, etc. can be used in several different ways
(Definition of “multipurpose” from the Cambridge Advanced Learner's Dictionary & Thesaurus © Cambridge University Press)
Or multifunctional, according to Cambridge Dictionary:
having several different uses
(Definition of “multifunctional” from the Cambridge Advanced Learner's Dictionary & Thesaurus © Cambridge University Press)
Depending on the context (does the formula solve problems? And if so, do you want to make it clear that it doesn't solve them all?) you may use:
Technology is not a panacea for all our problems.
versatile (comparative more versatile, superlative most versatile)
- Capable of doing many things competently.
- Having varied uses or many functions.
- Changeable or inconstant.
complete; including all or nearly all elements or aspects of something.