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Equation 7 · Part 6 · Mathematicians Finished the Job After an Evolutionary Search Beat 56 Years of Human Proofs

addition

(a+bi)(c+di)(a+bi)(c+di)
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

Here is where a structural audit earns its keep instead of restating the press release, because the announcement’s own supporting table contains the seed of the correction. DeepMind’s paper states that for three of its results — including the 4×4 case — “the algorithms discovered by AlphaEvolve use complex-valued multiplications which can be used for exact multiplication of complex or real-valued matrices” [ 2 ] . That sentence is true and also incomplete in a way that matters enormously for anyone trying to actually use the result. A complex-valued multiplication is not one hardware operation; multiplying two complex numbers (a+bi)(c+di) by the direct method costs four real multiplications,…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.