算幾不等式

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算幾不等式是由算術平均數(Arithmetic Mean)和幾何平均數(Geometric Mean) 所構成的一個不等式，舉凡任意兩個(或以上)大於0的實數，算術平均數都必然會大於(或等於)幾何平均數。這部影片分別從幾何和代數兩個不同的角度去證明算幾不等式，並列舉了兩個算幾不等式的應用範例。","styleRuns":[{"startIndex":0,"length":147,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":147,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLIBELsvGAIiEwjukIO4-vWLAxWK-UIFHWqWJZA=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2laV05FNnk4a3ZVGAYyJSIRIgtpWldORTZ5OGt2VTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLIBELsvGAIiEwjukIO4-vWLAxWK-UIFHWqWJZA=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLEBELovIhMI7pCDuPr1iwMVivlCBR1qliWQ"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"BEu713fgYTQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/BEu713fgYTQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG 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