It is proper to use "," between A and B
A, B are the objects that are part of the equation.
instead of "and"
A and B are the objects that are part of the equation.
in formal academic writing?
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In formal academic writing, you must not replace "and" with a "," in sentences similar to yours. This is absolutely wrong. Look up a guide like the Chicago Manual of Style or the APA, and find out what they say about "commas" and their usage.
But you can (or should) when you are dealing with coordinate adjectives:
We walked down the long, narrow path.