Group Theory Binary Operation Lecture 1 Theta Classes
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http://youtube.com/watch?v=tDpbyscBLp0
From this lecture I am starting a series on Group Theory which is one of the major part of Modern Algebra .This is the first lecture on Group Theory and we will first study with the introduction of Binary Operation. • We will see what is Binary Operation and in order to understand more clearly we will see lot of example related to Binary Operation. • If any student has any question regarding this lecture do mention it in the comment section. • Keep connected with the Theta Classes to study various topics of higher Mathematics.","styleRuns":[{"startIndex":0,"length":527,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":527,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"compositeVideoPrimaryInfoRenderer":{}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLcBELsvGAMiEwir6LG0276MAxVlbHoFHQiZMv0=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3REcGJ5c2NCTHAwGAYyJSIRIgt0RHBieXNjQkxwMDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLcBELsvGAMiEwir6LG0276MAxVlbHoFHQiZMv0=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLYBELovIhMIq-ixtNu-jAMVZWx6BR0ImTL9"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"RQSjZKTDajI","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/RQSjZKTDajI/hqdefault.jpg?sqp=-oaymwE8CKgBEF5IWvKriqkDLwgBFQAAAAAYASUAAMhCPQCAokN4AfABAfgB1AaAAuADigIMCAAQARhyIEwoNDAP rs=AOn4CLB5GKXrNBGkFDsfb-VLPkD6XPQT7A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/RQSjZKTDajI/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4AdQGgALgA4oCDAgAEAEYciBMKDQwDw== rs=AOn4CLDbgRQPkhrh27Hz0c_dxIvc8oIa2Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Group Theory |Closure Property| Commutative, Associative Binary Operation |Lecture 2| Theta Classes ΠΎΡ „Theta Classes“ 43 147 ΠΏΠΎΠΊΠ°Π·Π²Π°Π½ΠΈΡ ΠΏΡΠ΅Π΄ΠΈ 3 Π³ΠΎΠ΄ΠΈΠ½ΠΈ 28 ΠΌΠΈΠ½ΡΡΠΈ"}},"simpleText":"Group Theory |Closure Property| Commutative, Associative Binary Operation |Lecture 2| Theta Classes"},"longBylineText":{"runs":[{"text":"Theta Classes","navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAAiEwir6LG0276MAxVlbHoFHQiZMv0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@thetaclasses","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCto3c3jJ6HY687HYWfONMGw","canonicalBaseUrl":"/@thetaclasses"}}}]},"publishedTimeText":{"simpleText":"ΠΏΡΠ΅Π΄ΠΈ 3 Π³ΠΎΠ΄ΠΈΠ½ΠΈ"},"viewCountText":{"simpleText":"43 147 ΠΏΠΎΠΊΠ°Π·Π²Π°Π½ΠΈΡ"},"lengthText":{"accessibility":{"accessibilityData":{"label":"28 ΠΌΠΈΠ½ΡΡΠΈ ΠΈ 21 ΡΠ΅ΠΊΡΠ½Π΄ΠΈ"}},"simpleText":"28:21"},"navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAAiEwir6LG0276MAxVlbHoFHQiZMv0yB3JlbGF0ZWRInd2EuKz5lp20AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=RQSjZKTDajI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"RQSjZKTDajI","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 onvi=1 id=4504a364a4c36a32 ip=185.82.219.199 initcwndbps=1137500 mt=1743780798 oweuc= pxtags=Cg4KAnR4Egg1MTQxNDIzOQ rxtags=Cg4KAnR4Egg1MTQxNDIzOQ%2CCg4KAnR4Egg1MTQxNDI0MA"}}}}},"shortBylineText":{"runs":[{"text":"Theta Classes","navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAAiEwir6LG0276MAxVlbHoFHQiZMv0yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@thetaclasses","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCto3c3jJ6HY687HYWfONMGw","canonicalBaseUrl":"/@thetaclasses"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_m8qSFvwIi_0c7lV-0Yxra9SbyoOtVTVexDxsJrqV6-pg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLABEKQwGAAiEwir6LG0276MAxVlbHoFHQiZMv1AstSNpsrsqIJF","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"43 Ρ ΠΈΠ»ΡΠ΄ΠΈ ΠΏΠΎΠΊΠ°Π·Π²Π°Π½ΠΈΡ"}},"simpleText":"43 Ρ ΠΈΠ». 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