Math 135 Complex Analysis Lecture 24 042315 Analytic Continuation











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=UAyuWZ-SHEY

Analytic continuation: function element; direct analytic continuation; global analytic function; analytic continuation. Analytic continuation along a curve is essentially unique; statement of Monodromy theorem.","styleRuns":[{"startIndex":0,"length":211,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":211,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLcBELsvGAIiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1VBeXVXWi1TSEVZGAYyJSIRIgtVQXl1V1otU0hFWTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLcBELsvGAIiEwjEyb-PqMiLAxVaiowIHebsA-4=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLYBELovIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"JVY0tLBO4-8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/JVY0tLBO4-8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDigYKtdfKt3aTAzLHJ7kANMJ0RZA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/JVY0tLBO4-8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBuAo9zUEDxxILzW9MG_D8I4jzUlw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Math 135 Complex Analysis Lecture 25 042815: Analytic Continuation, Properties of Holomorphic Fns. by Winston Ou 488 views 9 years ago 1 hour, 7 minutes"}},"simpleText":"Math 135 Complex Analysis Lecture 25 042815: Analytic Continuation, Properties of Holomorphic Fns."},"longBylineText":{"runs":[{"text":"Winston Ou","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@wcwou","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCZ_HHuwxpqXGlTOFx1veVdw","canonicalBaseUrl":"/@wcwou"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"488 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 hour, 7 minutes, 44 seconds"}},"simpleText":"1:07:44"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWRIxrjI_JnLq4ZQmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JVY0tLBO4-8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JVY0tLBO4-8","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=255634b4b04ee3ef ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1328750 mt=1739712575 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQzNw rxtags=Cg4KAnR4Egg1MTM1NzQzNQ%2CCg4KAnR4Egg1MTM1NzQzNg%2CCg4KAnR4Egg1MTM1NzQzNw"}}}}},"shortBylineText":{"runs":[{"text":"Winston Ou","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@wcwou","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCZ_HHuwxpqXGlTOFx1veVdw","canonicalBaseUrl":"/@wcwou"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_m71Ny02t6E7RibiI3wVLNax2_VeUQfbt-t5tIyXTBdySI=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-5A78e7gsuWjasl","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"488 views"}},"simpleText":"488 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JVY0tLBO4-8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JVY0tLBO4-8"],"params":"CAQ%3D"}},"videoIds":["JVY0tLBO4-8"]}},{"clickTrackingParams":"CLQBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","offlineVideoEndpoint":{"videoId":"JVY0tLBO4-8","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","getDownloadActionCommand":{"videoId":"JVY0tLBO4-8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtKVlkwdExCTzQtOA%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIxMm_j6jIiwMVWoqMCB3m7APu","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAAiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 hour, 7 minutes, 44 seconds"}},"simpleText":"1:07:44"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"JVY0tLBO4-8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"JVY0tLBO4-8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JVY0tLBO4-8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JVY0tLBO4-8"],"params":"CAQ%3D"}},"videoIds":["JVY0tLBO4-8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Math 135 Complex Analysis Lecture 25 042815: Analytic Continuation, Properties of Holomorphic Fns. - 1 hour, 7 minutes - Go to channel - Winston Ou - 488 views - 9 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"kjAYpwa8L6g","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/kjAYpwa8L6g/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AHUBoAC4AOKAgwIABABGBQgZSg5MA8= rs=AOn4CLABgW63b8fV1Q4k2jvtjgk3Wac99A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/kjAYpwa8L6g/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB1AaAAuADigIMCAAQARgUIGUoOTAP rs=AOn4CLDyjrfGsUTDGvASERSgjApd3N5vSw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Find derivative for y = sinh(cosh x). Hyperbolic functions by Ms Shaws Math Class 1,809 views 3 years ago 2 minutes, 6 seconds"}},"simpleText":"Find derivative for y = sinh(cosh x). Hyperbolic functions"},"longBylineText":{"runs":[{"text":"Ms Shaws Math Class","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MsShawsMathClass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5RRBzYaCNHBAQ-7a0v0zYQ","canonicalBaseUrl":"/@MsShawsMathClass"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"1,809 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"2 minutes, 6 seconds"}},"simpleText":"2:06"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWRIxrjI_JnLq4ZQmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=kjAYpwa8L6g","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"kjAYpwa8L6g","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=923018a706bc2fa8 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1328750 mt=1739712575 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQzNw rxtags=Cg4KAnR4Egg1MTM1NzQzNQ%2CCg4KAnR4Egg1MTM1NzQzNg%2CCg4KAnR4Egg1MTM1NzQzNw"}}}}},"shortBylineText":{"runs":[{"text":"Ms Shaws Math Class","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MsShawsMathClass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5RRBzYaCNHBAQ-7a0v0zYQ","canonicalBaseUrl":"/@MsShawsMathClass"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kKckcm04kxQppiRTgQLT8zIU8exS20MBx15LoqNcXSfx8=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-5AqN_wtfCUhpiSAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.8K views"}},"simpleText":"1.8K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"kjAYpwa8L6g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["kjAYpwa8L6g"],"params":"CAQ%3D"}},"videoIds":["kjAYpwa8L6g"]}},{"clickTrackingParams":"CK0BEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","offlineVideoEndpoint":{"videoId":"kjAYpwa8L6g","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","getDownloadActionCommand":{"videoId":"kjAYpwa8L6g","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtrakFZcHdhOEw2Zw%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIxMm_j6jIiwMVWoqMCB3m7APu","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAEiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"2 minutes, 6 seconds"}},"simpleText":"2:06"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"kjAYpwa8L6g","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"kjAYpwa8L6g"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"kjAYpwa8L6g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["kjAYpwa8L6g"],"params":"CAQ%3D"}},"videoIds":["kjAYpwa8L6g"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Find derivative for y = sinh(cosh x). Hyperbolic functions - 2 minutes, 6 seconds - Go to channel - Ms Shaws Math Class - 1.8K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"JOEtMoBnp_E","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/JOEtMoBnp_E/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAQLEnJl1rmrcaRHiCrlGNsgCIQRw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/JOEtMoBnp_E/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAGCd7X-aZqNDPxuiGyawkztEPg2A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Solving rational inequalities-Algebraically by MooMooMath and Science 29,510 views 5 years ago 6 minutes, 35 seconds"}},"simpleText":"Solving rational inequalities-Algebraically"},"longBylineText":{"runs":[{"text":"MooMooMath and Science","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MooMooMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE_WiQFez8FZcICpbwblyyg","canonicalBaseUrl":"/@MooMooMath"}}}]},"publishedTimeText":{"simpleText":"5 years ago"},"viewCountText":{"simpleText":"29,510 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 minutes, 35 seconds"}},"simpleText":"6:35"},"navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWRIxrjI_JnLq4ZQmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JOEtMoBnp_E","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JOEtMoBnp_E","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=24e12d328067a7f1 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1328750 mt=1739712575 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQzNw rxtags=Cg4KAnR4Egg1MTM1NzQzNQ%2CCg4KAnR4Egg1MTM1NzQzNg%2CCg4KAnR4Egg1MTM1NzQzNw"}}}}},"shortBylineText":{"runs":[{"text":"MooMooMath and Science","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MooMooMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE_WiQFez8FZcICpbwblyyg","canonicalBaseUrl":"/@MooMooMath"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nxusohI1ilNscDakpY_0Hs4GbTk6hLfzthFBATICBZ8Rgn=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-5A8c-eg6imy_Ak","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"29K views"}},"simpleText":"29K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JOEtMoBnp_E","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JOEtMoBnp_E"],"params":"CAQ%3D"}},"videoIds":["JOEtMoBnp_E"]}},{"clickTrackingParams":"CKYBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKcBELlqIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKUBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","offlineVideoEndpoint":{"videoId":"JOEtMoBnp_E","onAddCommand":{"clickTrackingParams":"CKUBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","getDownloadActionCommand":{"videoId":"JOEtMoBnp_E","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKUBENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtKT0V0TW9CbnBfRQ%3D%3D","commands":[{"clickTrackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKQBEI5iIhMIxMm_j6jIiwMVWoqMCB3m7APu","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4=","hasSeparator":true}}],"trackingParams":"CKEBEKQwGAIiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 minutes, 35 seconds"}},"simpleText":"6:35"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"JOEtMoBnp_E","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"JOEtMoBnp_E"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JOEtMoBnp_E","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JOEtMoBnp_E"],"params":"CAQ%3D"}},"videoIds":["JOEtMoBnp_E"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Solving rational inequalities-Algebraically - 6 minutes, 35 seconds - Go to channel - MooMooMath and Science - 29K views - 5 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"r68zKdyIwVo","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/r68zKdyIwVo/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCI6JNia1sVGDYtK6w-WhWSNWw8SA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/r68zKdyIwVo/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLANC10S0991bE4cxVYpFntRMTDzMA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Complex Analysis L13: Bromwich Integrals and the Inverse Laplace Transform by Steve Brunton 23,198 views 1 year ago 50 minutes"}},"simpleText":"Complex Analysis L13: Bromwich Integrals and the Inverse Laplace Transform"},"longBylineText":{"runs":[{"text":"Steve Brunton","navigationEndpoint":{"clickTrackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Eigensteve","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCm5mt-A4w61lknZ9lCsZtBw","canonicalBaseUrl":"/@Eigensteve"}}}]},"publishedTimeText":{"simpleText":"1 year ago"},"viewCountText":{"simpleText":"23,198 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"50 minutes, 33 seconds"}},"simpleText":"50:33"},"navigationEndpoint":{"clickTrackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWRIxrjI_JnLq4ZQmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=r68zKdyIwVo","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"r68zKdyIwVo","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=afaf3329dc88c15a ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1328750 mt=1739712575 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQzNw rxtags=Cg4KAnR4Egg1MTM1NzQzNQ%2CCg4KAnR4Egg1MTM1NzQzNg%2CCg4KAnR4Egg1MTM1NzQzNw"}}}}},"shortBylineText":{"runs":[{"text":"Steve Brunton","navigationEndpoint":{"clickTrackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Eigensteve","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCm5mt-A4w61lknZ9lCsZtBw","canonicalBaseUrl":"/@Eigensteve"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mx14E_G8xV2RfuwQ6pmFJq3gsbBjo_kcrRiBd7WAzCA_k=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-5A2oKj5J3lzNevAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"23K views"}},"simpleText":"23K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJ8BEP6YBBgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ8BEP6YBBgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"r68zKdyIwVo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ8BEP6YBBgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["r68zKdyIwVo"],"params":"CAQ%3D"}},"videoIds":["r68zKdyIwVo"]}},{"clickTrackingParams":"CJ8BEP6YBBgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKABELlqIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"popupType":"TOAST"}}]}},"trackingParams":"CJ8BEP6YBBgGIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CJ4BENGqBRgHIhMIxMm_j6jIiwMVWoqMCB3m7APu","offlineVideoEndpoint":{"videoId":"r68zKdyIwVo","onAddCommand":{"clickTrackingParams":"CJ4BENGqBRgHIhMIxMm_j6jIiwMVWoqMCB3m7APu","getDownloadActionCommand":{"videoId":"r68zKdyIwVo","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CJ4BENGqBRgHIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtyNjh6S2R5SXdWbw%3D%3D","commands":[{"clickTrackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJ0BEI5iIhMIxMm_j6jIiwMVWoqMCB3m7APu","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4=","hasSeparator":true}}],"trackingParams":"CJoBEKQwGAMiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"50 minutes, 33 seconds"}},"simpleText":"50:33"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJwBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"r68zKdyIwVo","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJwBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"r68zKdyIwVo"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJwBEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJsBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJsBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"r68zKdyIwVo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJsBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["r68zKdyIwVo"],"params":"CAQ%3D"}},"videoIds":["r68zKdyIwVo"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJsBEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Complex Analysis L13: Bromwich Integrals and the Inverse Laplace Transform - 50 minutes - Go to channel - Steve Brunton - 23K views - 1 year ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/r68zKdyIwVo/mqdefault_6s.webp?du=3000 sqp=CJzAx70G rs=AOn4CLDSDhiuQiYJI5rPxsw95RWRylXAbw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"EyBDtUtyshk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/EyBDtUtyshk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCDeLIQm-5WPdA9WI407q1Isc5SeA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/EyBDtUtyshk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAKPBPl12aAQ130ojK1TKGjThz3Dw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6 by Mathemaniac 367,784 views 3 years ago 40 minutes"}},"simpleText":"Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6"},"longBylineText":{"runs":[{"text":"Mathemaniac","navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathemaniac","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCrlZs71h3mTR45FgQNINfrg","canonicalBaseUrl":"/@mathemaniac"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"367,784 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"40 minutes, 45 seconds"}},"simpleText":"40:45"},"navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWRIxrjI_JnLq4ZQmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=EyBDtUtyshk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"EyBDtUtyshk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=132043b54b72b219 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1328750 mt=1739712575 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQzNw rxtags=Cg4KAnR4Egg1MTM1NzQzNQ%2CCg4KAnR4Egg1MTM1NzQzNg%2CCg4KAnR4Egg1MTM1NzQzNw"}}}}},"shortBylineText":{"runs":[{"text":"Mathemaniac","navigationEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathemaniac","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCrlZs71h3mTR45FgQNINfrg","canonicalBaseUrl":"/@mathemaniac"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lJX7SXAwcxlNdAQUZ1gsRSAo51zlfgX2Z-amQ2bKbypg=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":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-5AmeTK29T2kJAT","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"367K views"}},"simpleText":"367K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJgBEP6YBBgHIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJgBEP6YBBgHIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EyBDtUtyshk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJgBEP6YBBgHIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EyBDtUtyshk"],"params":"CAQ%3D"}},"videoIds":["EyBDtUtyshk"]}},{"clickTrackingParams":"CJgBEP6YBBgHIhMIxMm_j6jIiwMVWoqMCB3m7APu","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJkBELlqIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"popupType":"TOAST"}}]}},"trackingParams":"CJgBEP6YBBgHIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CJcBENGqBRgIIhMIxMm_j6jIiwMVWoqMCB3m7APu","offlineVideoEndpoint":{"videoId":"EyBDtUtyshk","onAddCommand":{"clickTrackingParams":"CJcBENGqBRgIIhMIxMm_j6jIiwMVWoqMCB3m7APu","getDownloadActionCommand":{"videoId":"EyBDtUtyshk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CJcBENGqBRgIIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtFeUJEdFV0eXNoaw%3D%3D","commands":[{"clickTrackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJYBEI5iIhMIxMm_j6jIiwMVWoqMCB3m7APu","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4=","hasSeparator":true}}],"trackingParams":"CJMBEKQwGAQiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"40 minutes, 45 seconds"}},"simpleText":"40:45"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJUBEPnnAxgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"EyBDtUtyshk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJUBEPnnAxgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"EyBDtUtyshk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJUBEPnnAxgCIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJQBEMfsBBgDIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJQBEMfsBBgDIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EyBDtUtyshk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJQBEMfsBBgDIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EyBDtUtyshk"],"params":"CAQ%3D"}},"videoIds":["EyBDtUtyshk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJQBEMfsBBgDIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6 - 40 minutes - Go to channel - Mathemaniac - 367K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/EyBDtUtyshk/mqdefault_6s.webp?du=3000 sqp=CKeix70G rs=AOn4CLAwwv33u4qaaWdYM7v0d8oXkft62g","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"CjSKmcWRFzE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/CjSKmcWRFzE/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBonUgqTYW2eKQM-SPrRw59cP6J9Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/CjSKmcWRFzE/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAMOr3Nmxfs0oWrj_6IBmtdU-vvrQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Analytic Continuation and the Zeta Function by zetamath 217,386 views 3 years ago 49 minutes"}},"simpleText":"Analytic Continuation and the Zeta Function"},"longBylineText":{"runs":[{"text":"zetamath","navigationEndpoint":{"clickTrackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@zetamath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCTYLIcLSUX6YZ_DIjBEjbvQ","canonicalBaseUrl":"/@zetamath"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"217,386 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"49 minutes, 34 seconds"}},"simpleText":"49:34"},"navigationEndpoint":{"clickTrackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWRIxrjI_JnLq4ZQmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=CjSKmcWRFzE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"CjSKmcWRFzE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=0a348a99c5911731 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1328750 mt=1739712575 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQzNw rxtags=Cg4KAnR4Egg1MTM1NzQzNQ%2CCg4KAnR4Egg1MTM1NzQzNg%2CCg4KAnR4Egg1MTM1NzQzNw"}}}}},"shortBylineText":{"runs":[{"text":"zetamath","navigationEndpoint":{"clickTrackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@zetamath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCTYLIcLSUX6YZ_DIjBEjbvQ","canonicalBaseUrl":"/@zetamath"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/RICy9IgAipmtPv5_-nM4VELXIxMljD-aHaRV4a9ifg2BI7xoBE68IIYsoe6R2MLRDoPY2qwg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-5Asa7ErJzTopoK","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"217K views"}},"simpleText":"217K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJEBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJEBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"CjSKmcWRFzE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJEBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["CjSKmcWRFzE"],"params":"CAQ%3D"}},"videoIds":["CjSKmcWRFzE"]}},{"clickTrackingParams":"CJEBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJIBELlqIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},"popupType":"TOAST"}}]}},"trackingParams":"CJEBEP6YBBgFIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CJABENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","offlineVideoEndpoint":{"videoId":"CjSKmcWRFzE","onAddCommand":{"clickTrackingParams":"CJABENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu","getDownloadActionCommand":{"videoId":"CjSKmcWRFzE","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CJABENGqBRgGIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtDalNLbWNXUkZ6RQ%3D%3D","commands":[{"clickTrackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CI8BEI5iIhMIxMm_j6jIiwMVWoqMCB3m7APu","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4=","hasSeparator":true}}],"trackingParams":"CIwBEKQwGAUiEwjEyb-PqMiLAxVaiowIHebsA-4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"49 minutes, 34 seconds"}},"simpleText":"49:34"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CI4BEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"CjSKmcWRFzE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CI4BEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"CjSKmcWRFzE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CI4BEPnnAxgBIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CI0BEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CI0BEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"CjSKmcWRFzE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CI0BEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["CjSKmcWRFzE"],"params":"CAQ%3D"}},"videoIds":["CjSKmcWRFzE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CI0BEMfsBBgCIhMIxMm_j6jIiwMVWoqMCB3m7APu"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Analytic Continuation and the Zeta Function - 49 minutes - Go to channel - zetamath - 217K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/_mv0q7-WF4E/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBRe8Gdxd_3RrbH4QxY-EXtTSVTbQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/_mv0q7-WF4E/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDsaDhpph5hLEaFcQyn1h3kSgrKgA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"13 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2369331,"darkTheme":2369331}}}],"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":3027263,"darkTheme":3027263}}},"stackColor":{"lightTheme":7239577,"darkTheme":7765139}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Engineering Math: Crash Course in Complex Analysis"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Steve Brunton

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









New on site
Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org