Symbol a
a is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Published equation contexts
Why this formula appears here
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,…
Read the representative guide
Symbol b
b is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Symbol i
i is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Symbol c
c is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Symbol d
d is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 7 · Technological Evolution
Mathematicians Finished the Job After an Evolutionary Search Beat 56 Years of Human Proofs
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
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,…
Equation guide → · Article →