3 GA 2D Multivektor Betrag Inverse











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=8if3STl5l1I

Es wird ausführlich an Beispielen darauf eingegangen, warum es nicht immer eine Inverse eines Multivektors geben muss.","styleRuns":[{"startIndex":0,"length":118,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":118,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLIBELsvGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzhpZjNTVGw1bDFJGAYyJSIRIgs4aWYzU1RsNWwxSTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLIBELsvGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLEBELovIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"e3E1CfQ36hs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/e3E1CfQ36hs/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLAWHPn4XNShqqtQp9Wg-_MGSfPtUw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/e3E1CfQ36hs/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLDUo3nBx_WKMSZNo2rFwIP_Zd6_dw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"2 | GA | 2D | Das geometrische Produkt | Beispiele by Pragmatisches Rechnen 34 views 6 months ago 12 minutes, 10 seconds"}},"simpleText":"2 | GA | 2D | Das geometrische Produkt | Beispiele"},"longBylineText":{"runs":[{"text":"Pragmatisches Rechnen","navigationEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PragmatischesRechnen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoSH7LWEc0K217cPTDJTQfw","canonicalBaseUrl":"/@PragmatischesRechnen"}}}]},"publishedTimeText":{"simpleText":"6 months ago"},"viewCountText":{"simpleText":"34 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 10 seconds"}},"simpleText":"12:10"},"navigationEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWRI0q7my5Pp_ZPyAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=e3E1CfQ36hs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"e3E1CfQ36hs","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=7b713509f437ea1b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1522500 mt=1740879902 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Pragmatisches Rechnen","navigationEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PragmatischesRechnen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoSH7LWEc0K217cPTDJTQfw","canonicalBaseUrl":"/@PragmatischesRechnen"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lPzli4dJG5cLnw96ruYoBNm3_5_eD8i8XDpv7ulgomHNDYGeHCJcNCTE1xkfCyWJwrCw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS1Am9TfoZ-hzbh7","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"34 views"}},"simpleText":"34 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK8BEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"e3E1CfQ36hs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["e3E1CfQ36hs"],"params":"CAQ%3D"}},"videoIds":["e3E1CfQ36hs"]}},{"clickTrackingParams":"CK8BEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLABELlqIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},"popupType":"TOAST"}}]}},"trackingParams":"CK8BEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtlM0UxQ2ZRMzZocw%3D%3D","commands":[{"clickTrackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK4BEI5iIhMI-p_GpaTqiwMVUupCBR3j6CUt","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0=","hasSeparator":true}}],"trackingParams":"CKsBEKQwGAAiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 10 seconds"}},"simpleText":"12:10"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK0BEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"e3E1CfQ36hs","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CK0BEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"e3E1CfQ36hs"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK0BEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKwBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKwBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"e3E1CfQ36hs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKwBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["e3E1CfQ36hs"],"params":"CAQ%3D"}},"videoIds":["e3E1CfQ36hs"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKwBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"2 | GA | 2D | Das geometrische Produkt | Beispiele - 12 minutes, 10 seconds - Go to channel - Pragmatisches Rechnen - 34 views - 6 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"a1SsTMr00w0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/a1SsTMr00w0/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLCv_ykUq1EhTrNGrEquT1dsvyWTgg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/a1SsTMr00w0/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLCGB0owzKsIMJViEUwTcaeRuTiX9g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"14 | GA | 3D | Vektor-Bivektor-Produkt (Teil1/3) mit Beispiel by Pragmatisches Rechnen 47 views 3 months ago 11 minutes, 52 seconds"}},"simpleText":"14 | GA | 3D | Vektor-Bivektor-Produkt (Teil1/3) mit Beispiel"},"longBylineText":{"runs":[{"text":"Pragmatisches Rechnen","navigationEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PragmatischesRechnen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoSH7LWEc0K217cPTDJTQfw","canonicalBaseUrl":"/@PragmatischesRechnen"}}}]},"publishedTimeText":{"simpleText":"3 months ago"},"viewCountText":{"simpleText":"47 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 52 seconds"}},"simpleText":"11:52"},"navigationEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWRI0q7my5Pp_ZPyAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=a1SsTMr00w0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"a1SsTMr00w0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.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=6b54ac4ccaf4d30d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1545000 mt=1740879902 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Pragmatisches Rechnen","navigationEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PragmatischesRechnen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoSH7LWEc0K217cPTDJTQfw","canonicalBaseUrl":"/@PragmatischesRechnen"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lPzli4dJG5cLnw96ruYoBNm3_5_eD8i8XDpv7ulgomHNDYGeHCJcNCTE1xkfCyWJwrCw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS1AjabT18yJq6pr","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"47 views"}},"simpleText":"47 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKkBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"a1SsTMr00w0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["a1SsTMr00w0"],"params":"CAQ%3D"}},"videoIds":["a1SsTMr00w0"]}},{"clickTrackingParams":"CKkBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKoBELlqIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},"popupType":"TOAST"}}]}},"trackingParams":"CKkBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgthMVNzVE1yMDB3MA%3D%3D","commands":[{"clickTrackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKgBEI5iIhMI-p_GpaTqiwMVUupCBR3j6CUt","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0=","hasSeparator":true}}],"trackingParams":"CKUBEKQwGAEiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 52 seconds"}},"simpleText":"11:52"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKcBEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"a1SsTMr00w0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKcBEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"a1SsTMr00w0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKcBEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKYBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"a1SsTMr00w0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["a1SsTMr00w0"],"params":"CAQ%3D"}},"videoIds":["a1SsTMr00w0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKYBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"14 | GA | 3D | Vektor-Bivektor-Produkt (Teil1/3) mit Beispiel - 11 minutes, 52 seconds - Go to channel - Pragmatisches Rechnen - 47 views - 3 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"-RNi1CDfO2Y","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/-RNi1CDfO2Y/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDXxGIUyQ_LMN-czSLetOArLOkmRA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/-RNi1CDfO2Y/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBO9t1HyjoUlDwAUoniGpoQyNQwuA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"This is how they asked complex number problems on the 2023 AS-Level further maths paper by blackpenredpen 13,096 views 3 days ago 11 minutes, 53 seconds"}},"simpleText":"This is how they asked complex number problems on the 2023 AS-Level further maths paper"},"longBylineText":{"runs":[{"text":"blackpenredpen","navigationEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@blackpenredpen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC_SvYP0k05UKiJ_2ndB02IA","canonicalBaseUrl":"/@blackpenredpen"}}}]},"publishedTimeText":{"simpleText":"3 days ago"},"viewCountText":{"simpleText":"13,096 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 53 seconds"}},"simpleText":"11:53"},"navigationEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWRI0q7my5Pp_ZPyAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-RNi1CDfO2Y","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-RNi1CDfO2Y","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=f91362d420df3b66 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1522500 mt=1740879902 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"blackpenredpen","navigationEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@blackpenredpen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC_SvYP0k05UKiJ_2ndB02IA","canonicalBaseUrl":"/@blackpenredpen"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/kGQxp49X4lQvODyAXMfFsvXDG9bRpI-iKd97ibQPn2Z2xlMASmKof_8M10peqPESU4MhcozK6Dc=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS1A5vb8hsLa2In5AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"13K views"}},"simpleText":"13K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKMBEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKMBEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-RNi1CDfO2Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKMBEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-RNi1CDfO2Y"],"params":"CAQ%3D"}},"videoIds":["-RNi1CDfO2Y"]}},{"clickTrackingParams":"CKMBEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKQBELlqIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},"popupType":"TOAST"}}]}},"trackingParams":"CKMBEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgstUk5pMUNEZk8yWQ%3D%3D","commands":[{"clickTrackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKIBEI5iIhMI-p_GpaTqiwMVUupCBR3j6CUt","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","hasSeparator":true}}],"trackingParams":"CJ8BEKQwGAIiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 53 seconds"}},"simpleText":"11:53"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKEBEPnnAxgDIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"-RNi1CDfO2Y","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKEBEPnnAxgDIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"-RNi1CDfO2Y"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKEBEPnnAxgDIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKABEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKABEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-RNi1CDfO2Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKABEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-RNi1CDfO2Y"],"params":"CAQ%3D"}},"videoIds":["-RNi1CDfO2Y"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKABEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"This is how they asked complex number problems on the 2023 AS-Level further maths paper - 11 minutes, 53 seconds - Go to channel - blackpenredpen - 13K views - 3 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/-RNi1CDfO2Y/mqdefault_6s.webp?du=3000 sqp=CLzojr4G rs=AOn4CLApZg_NyMIxyOApDY0UBuoFxCcTCQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"hkBbf-BYC2U","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/hkBbf-BYC2U/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAuqSLJ6PaGYbRtKdPYhicSrMDNcA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/hkBbf-BYC2U/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAII84FH6Jt-lqN1TE-Qub0B2cMFw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"چشم‌انداز: زمینه‌سازی ترامپ برای حمله نظامی به ایران؟ by Iran International ايران اينترنشنال 105,634 views 6 hours ago 43 minutes"}},"simpleText":"چشم‌انداز: زمینه‌سازی ترامپ برای حمله نظامی به ایران؟"},"longBylineText":{"runs":[{"text":"Iran International ايران اينترنشنال","navigationEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@IRANINTL","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCat6bC0Wrqq9Bcq7EkH_yQw","canonicalBaseUrl":"/@IRANINTL"}}}]},"publishedTimeText":{"simpleText":"6 hours ago"},"viewCountText":{"simpleText":"105,634 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"43 minutes, 49 seconds"}},"simpleText":"43:49"},"navigationEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWRI0q7my5Pp_ZPyAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=hkBbf-BYC2U","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"hkBbf-BYC2U","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxbz.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=86405b7fe0580b65 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1420000 mt=1740879902 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Iran International ايران اينترنشنال","navigationEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@IRANINTL","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCat6bC0Wrqq9Bcq7EkH_yQw","canonicalBaseUrl":"/@IRANINTL"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/VrZcTsFw8-ICZ43ny9JR20EQDgjtgrSHTJvzAFOplSPz3ORsMS3OFPNe3TB8WuL8LQDzelk8gg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS1A5Zbggv7vlqCGAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"105K views"}},"simpleText":"105K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJ0BEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ0BEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"hkBbf-BYC2U","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ0BEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["hkBbf-BYC2U"],"params":"CAQ%3D"}},"videoIds":["hkBbf-BYC2U"]}},{"clickTrackingParams":"CJ0BEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJ4BELlqIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},"popupType":"TOAST"}}]}},"trackingParams":"CJ0BEP6YBBgIIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgtoa0JiZi1CWUMyVQ%3D%3D","commands":[{"clickTrackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJwBEI5iIhMI-p_GpaTqiwMVUupCBR3j6CUt","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0=","hasSeparator":true}}],"trackingParams":"CJkBEKQwGAMiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"43 minutes, 49 seconds"}},"simpleText":"43:49"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJsBEPnnAxgDIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"hkBbf-BYC2U","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJsBEPnnAxgDIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"hkBbf-BYC2U"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJsBEPnnAxgDIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJoBEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJoBEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"hkBbf-BYC2U","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJoBEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["hkBbf-BYC2U"],"params":"CAQ%3D"}},"videoIds":["hkBbf-BYC2U"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJoBEMfsBBgEIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"چشم‌انداز: زمینه‌سازی ترامپ برای حمله نظامی به ایران؟ - 43 minutes - Go to channel - Iran International ايران اينترنشنال - 105K views - 6 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/hkBbf-BYC2U/mqdefault_6s.webp?du=3000 sqp=CLfwjr4G rs=AOn4CLBgFOgCU-p54PBxFRAoitZfVQ6LOg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"q1iSmAh3n-c","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/q1iSmAh3n-c/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAFvHnnccYhap9RsPQSaCdaFVYHtw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/q1iSmAh3n-c/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAlE1pyegmTB-VqKouWqLarpYlFBg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"BASIC Calculus – Understand Why Calculus is so POWERFUL! by TabletClass Math 1,185,692 views 4 months ago 18 minutes"}},"simpleText":"BASIC Calculus – Understand Why Calculus is so POWERFUL!"},"longBylineText":{"runs":[{"text":"TabletClass Math","navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tabletclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCglNXzBo6bmKc9otKf-OuGQ","canonicalBaseUrl":"/@tabletclass"}}}]},"publishedTimeText":{"simpleText":"4 months ago"},"viewCountText":{"simpleText":"1,185,692 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"18 minutes, 11 seconds"}},"simpleText":"18:11"},"navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWRI0q7my5Pp_ZPyAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=q1iSmAh3n-c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"q1iSmAh3n-c","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=ab58929808779fe7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1522500 mt=1740879902 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"TabletClass Math","navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tabletclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCglNXzBo6bmKc9otKf-OuGQ","canonicalBaseUrl":"/@tabletclass"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nKa6UbnSvq-znCWgDIlyMwSNuLPaR9CcovykGS3cK9nw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS1A57_ew4DTpKyrAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.1 million views"}},"simpleText":"1.1M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJcBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJcBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"q1iSmAh3n-c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJcBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["q1iSmAh3n-c"],"params":"CAQ%3D"}},"videoIds":["q1iSmAh3n-c"]}},{"clickTrackingParams":"CJcBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJgBELlqIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},"popupType":"TOAST"}}]}},"trackingParams":"CJcBEP6YBBgFIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtxMWlTbUFoM24tYw%3D%3D","commands":[{"clickTrackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJYBEI5iIhMI-p_GpaTqiwMVUupCBR3j6CUt","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0=","hasSeparator":true}}],"trackingParams":"CJMBEKQwGAQiEwj6n8alpOqLAxVS6kIFHePoJS0=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"18 minutes, 11 seconds"}},"simpleText":"18:11"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJUBEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"q1iSmAh3n-c","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJUBEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"q1iSmAh3n-c"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJUBEPnnAxgBIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJQBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJQBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"q1iSmAh3n-c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJQBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["q1iSmAh3n-c"],"params":"CAQ%3D"}},"videoIds":["q1iSmAh3n-c"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJQBEMfsBBgCIhMI-p_GpaTqiwMVUupCBR3j6CUt"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"BASIC Calculus – Understand Why Calculus is so POWERFUL! - 18 minutes - Go to channel - TabletClass Math - 1.1M views - 4 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/f2lcGj04OsA/hqdefault.jpg?sqp=-oaymwEwCKgBEF5IWvKriqkDIwgBFQAAiEIYAfABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLAPHHBDGYvoNTx_NXqFdCu_mrX1GQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/f2lcGj04OsA/hqdefault.jpg?sqp=-oaymwExCNACELwBSFryq4qpAyMIARUAAIhCGAHwAQH4Af4JgALQBYoCDAgAEAEYZSBlKGUwDw== rs=AOn4CLCFTJpYAXzzm7qy36fGmVFr4KP5QQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"29 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"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":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Geometrische Algebra"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Pragmatisches Rechnen

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









Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org