the.com/equivalence

the art of proving two different things are secretly the same trick wearing two coats

means the state of being equal in value, function, or meaning, such that two different things can stand in for each other without loss.

from From Latin aequivalentia, built from aequus 'equal' and valere 'to be worth, to be strong' — the same valere that gives us 'value,' 'valiant,' and 'valid.' So at root it means 'worth the same,' two things that weigh equally on the scale. It came into English through Late Latin and Old French in the 1500s, first in logic and theology before lending itself to mathematics and chemistry.

math symbol
Gets three lines, not two, to outrank equals
mass energy
Einstein's E=mc2 made matter and energy interchangeable
logic
True only when both sides agree completely
chemistry
Equivalence point: where titration reactants exactly cancel out
morphine dosing
Doctors convert opioids using equivalence tables daily
for instance

logical equivalence — two statements in propositional logic that have identical truth values in all cases

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