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Revision #3422 → #3995 · back to history

modifiedGeometric mean9030978461c3
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anchor.sectionList of possible averagesDefinitions
noteMathlib has no top-level `geomMean` definition, but the geometric mean of positive weighted terms appears inside AM–GM inequality lemmas such as `Real.geom_mean_le_arith_mean_weighted` in `Mathlib.Analysis.MeanInequalities`.Mathlib has no top-level `geomMean` definition, but the geometric mean of positive weighted terms appears inside AM–GM inequality lemmas such as `Real.geom_mean_le_arith_mean_weighted` in `Mathlib.Analysis.MeanInequalities`. Section corrected from 'List of possible averages' to 'Definitions' to match the snippet's actual location.
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addedAverages as solutions to variational problemsd14cb812549c
modifiedConstant-collection average equals that constantaaf06532787f
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kinddefinitionproposition
note`Finset.expect_const` proves the arithmetic average of a constant function is that constant; the general statement quantifies over the unformalized class of all averages.`Finset.expect_const` proves the arithmetic average of a constant function is that constant; the general statement quantifies over the unformalized class of all averages. Kind corrected from 'definition' to 'proposition'.
provenanceaiai-moderated