I am searching for a mathematical term describing an algebraic manipulation of an equation which preserves equivalence. So while adding 2 to both sides of an equation results in an equivalent equation, squaring both sides does not. In German, there is the word "Äquivalenzumformung" (literally: equivalence transformation). Is there a similar word in English?
Thursday, 28 April 2016
mathematics - Word for equivalence preserving transformations of equations
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