ΠΛΗ30 ΜΑΘΗΜΑ 12 ΙΕΡΑΡΧΙΑ ΣΥΝΑΡΤΗΣΕΩΝ ΠΟΛΥΠΛΟΚΟΤΗΤΑΣ ΕΦΑΡΜΟΓΗ 2

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=Z3Uf_UfXnHQ

ΛΟΓΑΡΙΘΜΟΙ • 1. Ορισμός Λογαρίθμου • 2. Δυαδικοί Λογάριθμοι • 3. Ιδιότητες Λογαρίθμων • 4. Γραφική Παράσταση της συνάρτηση f(x)=log x • 5. Διπλός και Τριπλός Λογάριθμος • ΜΕΘΟΔΟΛΟΓΙΑ ΑΣΚΗΣΕΩΝ • 1. Σύνοψη Ιδιοτήτων Λογάριθμων • 2. Ιεραρχία Συναρτήσεων Πολυπλοκότητας • ΣΥΝΟΨΗ • ΕΠΙΔΙΩΚΩΜΕΝΑ ΑΠΟΤΕΛΕΣΜΑΤΑ","styleRuns":[{"startIndex":0,"length":282,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":282,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLwBELsvGAIiEwianY_ItuaLAxUDeHoFHVcDHFw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1ozVWZfVWZYbkhRGAYyJSIRIgtaM1VmX1VmWG5IUTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLwBELsvGAIiEwianY_ItuaLAxUDeHoFHVcDHFw=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLsBELovIhMImp2PyLbmiwMVA3h6BR1XAxxc"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"rjta29yRnPE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/rjta29yRnPE/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBno5m8iCnkzxkWFFhyGgL2hy8uCA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/rjta29yRnPE/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCbMyF_yzsPqdKU6RdnyBvY9WrERQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"ΠΛΗ30 - ΜΑΘΗΜΑ 1.2 - ΙΕΡΑΡΧΙΑ ΣΥΝΑΡΤΗΣΕΩΝ ΠΟΛΥΠΛΟΚΟΤΗΤΑΣ - ΕΦΑΡΜΟΓΗ 3 by Δημήτρης Ψούνης 8,931 views 9 years ago 9 minutes, 32 seconds"}},"simpleText":"ΠΛΗ30 - ΜΑΘΗΜΑ 1.2 - ΙΕΡΑΡΧΙΑ ΣΥΝΑΡΤΗΣΕΩΝ ΠΟΛΥΠΛΟΚΟΤΗΤΑΣ - ΕΦΑΡΜΟΓΗ 3"},"longBylineText":{"runs":[{"text":"Δημήτρης Ψούνης","navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@psounis","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC985YzcBf8iUWGyEMJ10v-Q","canonicalBaseUrl":"/@psounis"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"8,931 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"9 minutes, 32 seconds"}},"simpleText":"9:32"},"navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFwyB3JlbGF0ZWRI9LjevtT_x7pnmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=rjta29yRnPE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"rjta29yRnPE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=ae3b5adbdc919cf1 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=660000 mt=1740747190 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Δημήτρης Ψούνης","navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@psounis","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC985YzcBf8iUWGyEMJ10v-Q","canonicalBaseUrl":"/@psounis"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_noUM4b7lsYLRKqQwMx7mEt6pvmS97DNc5FAbWNi5vpZVo=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFxA8bnG5L3b1p2uAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"8.9K views"}},"simpleText":"8.9K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLkBEP6YBBgFIhMImp2PyLbmiwMVA3h6BR1XAxxc","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLkBEP6YBBgFIhMImp2PyLbmiwMVA3h6BR1XAxxc","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"rjta29yRnPE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLkBEP6YBBgFIhMImp2PyLbmiwMVA3h6BR1XAxxc","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["rjta29yRnPE"],"params":"CAQ%3D"}},"videoIds":["rjta29yRnPE"]}},{"clickTrackingParams":"CLkBEP6YBBgFIhMImp2PyLbmiwMVA3h6BR1XAxxc","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLoBELlqIhMImp2PyLbmiwMVA3h6BR1XAxxc"}},"popupType":"TOAST"}}]}},"trackingParams":"CLkBEP6YBBgFIhMImp2PyLbmiwMVA3h6BR1XAxxc"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLgBENGqBRgGIhMImp2PyLbmiwMVA3h6BR1XAxxc","offlineVideoEndpoint":{"videoId":"rjta29yRnPE","onAddCommand":{"clickTrackingParams":"CLgBENGqBRgGIhMImp2PyLbmiwMVA3h6BR1XAxxc","getDownloadActionCommand":{"videoId":"rjta29yRnPE","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLgBENGqBRgGIhMImp2PyLbmiwMVA3h6BR1XAxxc"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtyanRhMjl5Um5QRQ%3D%3D","commands":[{"clickTrackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFw=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLcBEI5iIhMImp2PyLbmiwMVA3h6BR1XAxxc","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFw=","hasSeparator":true}}],"trackingParams":"CLQBEKQwGAAiEwianY_ItuaLAxUDeHoFHVcDHFw=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"9 minutes, 32 seconds"}},"simpleText":"9:32"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEPnnAxgBIhMImp2PyLbmiwMVA3h6BR1XAxxc","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"rjta29yRnPE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLYBEPnnAxgBIhMImp2PyLbmiwMVA3h6BR1XAxxc","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"rjta29yRnPE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLYBEPnnAxgBIhMImp2PyLbmiwMVA3h6BR1XAxxc"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLUBEMfsBBgCIhMImp2PyLbmiwMVA3h6BR1XAxxc","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLUBEMfsBBgCIhMImp2PyLbmiwMVA3h6BR1XAxxc","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"rjta29yRnPE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLUBEMfsBBgCIhMImp2PyLbmiwMVA3h6BR1XAxxc","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["rjta29yRnPE"],"params":"CAQ%3D"}},"videoIds":["rjta29yRnPE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLUBEMfsBBgCIhMImp2PyLbmiwMVA3h6BR1XAxxc"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"ΠΛΗ30 - ΜΑΘΗΜΑ 1.2 - ΙΕΡΑΡΧΙΑ ΣΥΝΑΡΤΗΣΕΩΝ ΠΟΛΥΠΛΟΚΟΤΗΤΑΣ - ΕΦΑΡΜΟΓΗ 3 - 9 minutes, 32 seconds - Go to channel - Δημήτρης Ψούνης - 8.9K views - 9 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/ohvKjL3RVuE/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLDbKt4gJA0g2XAtUKL7Qw6QymyVDg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ohvKjL3RVuE/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDTlskQmR6EfaDHZldJnsASTgopZw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"81 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2631731,"darkTheme":2631731}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":2631730,"darkTheme":2631730}}},"stackColor":{"lightTheme":7960985,"darkTheme":8158363}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"ΑΛΓΟΡΙΘΜΟΙ ΚΑΙ ΠΟΛΥΠΛΟΚΟΤΗΤΑ"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Δημήτρης Ψούνης

#############################

New on site