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#配信 #数学 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00:00 はじめに 01:15 ①ab=0ならばaとbのどっちかが0 05:13 ②有限被覆が取れればコンパクトと思っちゃう。 #数学 #数学科 #MakkyoExists 【Twitter】 / makkyoexists 【Spotify】 https://t.co/J0er3N3kDK?amp=1 【Apple 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【Apple music】 https://t.co/qOvIwZKmZ6 【Amazon music】 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Ikuto)の欲しいモノリスト】 【Makio Ikuto質問箱 (Twitterでたまに答えてます)】 https://peing.net/en/makioikuto #数学 #MakkyoExists 【X】 / makkyoexists 【instagram】 / makkyoexists.for.any 【Spotify】...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1385879/0da38c19cefb61e5c9d8d26e1dbae6a3/564x318_1"},"target":"_self","position":"16","reqid":"1765277685987628-6192403835560248789-balancer-l7leveler-kubr-yp-sas-199-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYgzn9G2_AzE","linkTemplate":"/video/preview/1457484664553539434?parent-reqid=1765277685987628-6192403835560248789-balancer-l7leveler-kubr-yp-sas-199-BAL&text=MakkyoExists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"僕らが位相空間論を考える理由","related_orig_text":"MakkyoExists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MakkyoExists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Ygzn9G2_AzE\",\"src\":\"serp\",\"rvb\":\"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_gMF_gX-AeMJ__37AAAA8gD5DgUC_wDgDAP5_f4AAO4JAAEAAAAAAQgB_vH-AQAOAgb8_AAAAPvr-vn_AQAAAAf9AP4BAAD4DwAEA_8AABb7AQX0_gEA-QYBBgQBAAATE_z4AQAAAPvr_v8AAAAAIAAtrT7ROzgTQAlITlACKnMQABpgQyIAHiJmIfgj-_nkBQUw9fvO_bzVE_8q6wAkCPgCD_Twse8A_wT29eSqAAAADe3xGv0A6mohDcAz6iLXvrEO301_BD0HN_8cGuwyIuDwExYXE_DnANXl6vUHASkPTc85IAAtfdcqOzgTQAlIb1ACKq8GEAwaoAYAAChCAADAQQAAqEIAABDBAACAPwAAsEIAAAxCAADgQQAAzMIAAHTCAABQQQAAEEIAAGzCAABwQQAAVEIAAIC_AABQwgAAEEEAACBCAABkQgAAGEIAAKBAAACYwgAAbEIAAIpCAACKwgAAoMAAAEjCAAAwwQAAcEIAAIBBAADgwQAAIMIAAKDBAADowQAASEIAALDBAAD-QgAAQEAAABBBAACoQgAAoMEAAKBBAAD4wQAAREIAABDCAACoQQAAjkIAAFhCAAAAQQAAQMAAAKDAAADowQAAkEEAACjCAAA4wgAAcMIAAIhBAABgwQAALEIAAChCAACAwQAADMIAAFDBAABQwQAAiEEAALjBAAAswgAA4MAAAJbCAACgQQAAcEEAAABAAADKQgAAwMAAABzCAAAwwgAAaEIAAIC_AACYQQAAKMIAAAxCAADQQQAAgEEAAMjBAAC6QgAAgD8AAJBBAAC4QQAAIMEAALjBAACAwAAA4EAAAMDAAAAIwgAA4MAAAKDBAABYQgAAVEIAADBBAACgQAAAgMEAAMBBAABAwQAAMMIAAARCAABAQQAAdEIAAFDBAAAAwQAAYMEAAChCAADmwgAADEIAAAxCAADAQQAAwEAAAADCAAAAQAAAQMAAAEBAAAA0wgAAwEAAABTCAADoQQAA4MAAAIBAAACswgAAAMAAAIrCAADoQQAAMEEAAFBBAABYQgAAaMIAAIDBAADIwQAAkMEAAJzCAABwwgAABMIAACBCAACWQgAAoEAAABxCAAAEQgAAdEIAAIBAAADgQQAAgMAAAFTCAACAQQAAIEEAAMBAAAAEQgAAMMEAAMDAAACIwQAAKMIAAExCAAAQwgAAkMEAAFBCAADAQQAAkEEAAADAAABIQgAAKMIAACzCAABAQAAAsMEAAIBBAAAQwQAAFMIAAEBBAAAgQQAAQEEAAJDCAABAQQAALEIAACDCAAAAwQAAVMIAAPDBAACyQgAAWMIAAMBBAADEQgAAFMIAAAjCAACgwQAA4MAAAMBAAAAAwQAAyEEAAMBBAAC4wQAAOEIAAMjBAABAwSAAOBNACUh1UAEqjwIQABqAAgAAbL4AAOC8AADOPgAAiD0AAHC9AACGPgAAlr4AAP6-AACgPAAAUD0AAOo-AACYPQAAED0AAEw-AACgPAAA6L0AACw-AADYvQAAqL0AAIg9AAB_PwAAQLwAABy-AACGPgAA6L0AAJg9AAAMvgAADL4AAFQ-AAAQPQAAoLwAABA9AAAcvgAA2D0AANi9AABUvgAAED0AALi9AACavgAAgr4AAHQ-AAC4vQAAoLwAAOA8AAD4vQAALL4AALI-AAAwPQAAiL0AAKa-AABQvQAAED0AAL4-AABQPQAA5r4AAKg9AAANPwAAiD0AAOg9AABEPgAAZL4AABy-AADgPAAAcL0gADgTQAlIfFABKo8CEAEagAIAAA2_AABMvgAAqD0AAA2_AADSPgAAXD4AAKg9AAD4PQAAhr4AALg9AABQvQAAJD4AADA9AACIvQAAuL0AAMg9AABAvAAAWT8AAKC8AAAkPgAAUL0AAIC7AAA8PgAA-L0AAMi9AAAwvQAAQLwAAOC8AABcPgAAyL0AAMg9AAAQPQAAEL0AAAS-AACaPgAAUL0AAEw-AABAvAAAmL0AAFA9AAB8PgAApr4AABA9AAAkvgAA-L0AAEC8AAB_vwAATL4AAIC7AABsPgAAsj4AAOC8AACGPgAAqD0AACw-AABAvAAA4LwAALi9AACoPQAAmD0AAFC9AAB8vgAAbL4AADA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Ygzn9G2_AzE","parent-reqid":"1765277685987628-6192403835560248789-balancer-l7leveler-kubr-yp-sas-199-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1457484664553539434"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"11477521080845901885":{"videoId":"11477521080845901885","docid":"34-1-3-ZA91F23CB1650F266","description":"こんにちは、MakkyoExistsです。 本日は位相空間論で習う『中間値の定理』を証明してみました。 中間値の定理の定理と言えば高校でも出てくるかと思いますが、そのときは"当たり前"として片付けていたと思います。 #MakkyoExists 【Twitter】 / makkyoexists 【Spotify】 https://t.co/J0er3N3kDK?amp=1 【A...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4283583/0f156f4738497811214a75d7643c0280/564x318_1"},"target":"_self","position":"17","reqid":"1765277685987628-6192403835560248789-balancer-l7leveler-kubr-yp-sas-199-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DaUUPhW5glGc","linkTemplate":"/video/preview/11477521080845901885?parent-reqid=1765277685987628-6192403835560248789-balancer-l7leveler-kubr-yp-sas-199-BAL&text=MakkyoExists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"【位相空間論】中間値の定理・連結の定義","related_orig_text":"MakkyoExists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MakkyoExists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=aUUPhW5glGc\",\"src\":\"serp\",\"rvb\":\"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_E8wIggQkAYAEKyqLARABGniB9_78AP4DAPb-AwX-Bf4B6wP8-vv__wD8AfsF_QX-AO0H_f4D_wAA-hAD_gYAAAABCAH-8v4BAA0CBv39AAAA_Oz6-QABAAAHB_8C_gEAAPwI_gYE_wAAFfsBBfT-AQDyCwIBBPn4BQUN-QMAAAAA-OL7_AEAAAAgAC0AU9s7OBNACUhOUAIqcxAAGmAoIQAVHEId4BwF5f0D-iAC-eT8zuMHACHpABUI8_cR8fXU-v3_A_8C78YAAAAM9fEVBwDVTSMXzAb2De3gyvjoMH_wLwo4-RD93CQ16wAXHAMU6fgA5AHV5wwOHw4c4BsgAC0yV2A7OBNACUhvUAIqrwYQDBqgBgAAEEIAADxCAACiQgAAIEIAAKDBAACwQgAAAEEAAOBAAACswgAALMIAAABAAAAcQgAAgsIAAAzCAABoQgAAMMEAACTCAABgQQAATEIAAOBBAADAQQAAuEEAAADCAACUQgAAlkIAAFjCAABwQQAAeMIAAHDBAAA4QgAAmEEAAEDBAAAIwgAAmMEAAODAAACKQgAAAMIAAP5CAABQwQAA0EEAAMBCAABUwgAAgEAAAMjBAAAkQgAA4EAAAIhBAABIQgAACEIAAIC_AAAEwgAAUMEAAIjBAABgQQAA-MEAAAjCAACKwgAAgMAAAFDBAAAwQQAAQEIAAJBBAABAwQAA0MEAAIDAAADIQQAAoMEAACzCAAAMwgAAhMIAAIBAAAAAAAAAgD8AAIRCAAAYQgAAaMIAAAzCAABoQgAAREIAABBBAAAwwgAAgEEAAIpCAACAPwAAPMIAAAxCAADgQAAAsEEAAGBBAACYwQAAHMIAAGBBAABAwQAA-MEAAGDBAABAQAAAJMIAAJJCAAAAwAAAFMIAAIBAAAAMwgAALEIAAATCAABQwQAAOEIAAADBAACMQgAAqMEAAEDCAAAQwQAAIEIAAPDCAABQQgAAgEAAAGBCAADgQQAAiMEAAKBAAAC4wQAAqEEAAPjBAACoQQAAsMEAANhBAABwwQAAoEAAANbCAADwQQAArMIAABBCAACAPwAAYEEAAOBBAABMwgAAPMIAAIjBAABgwgAA0MEAAHDCAACQwQAAuEEAABRCAAAAwAAAUEEAACDBAACIQgAAoEEAAChCAADIQQAAuMEAAIA_AAAMQgAA0EEAABBCAACowQAAAMAAACBBAACgwQAAFEIAACDCAACIwQAAQEEAAJBBAACAwQAAgEEAADRCAACMwgAAwMAAAABBAAAEwgAAAAAAAHDBAABYwgAAUEEAAABCAACAwAAAlMIAAABAAAA4QgAAgD8AAKBAAABswgAASMIAALBCAABcwgAAoEAAAMJCAAAkwgAAkMEAAKDAAAC4wQAAQMAAACDCAABAwQAA2EEAABjCAADYQQAAsMEAAADBIAA4E0AJSHVQASqPAhAAGoACAACyvgAAHL4AANg9AABwPQAANL4AAFQ-AACevgAAxr4AAEA8AAAQvQAAlj4AADw-AAAEPgAAmD0AAEA8AACgPAAAtj4AAAy-AADYvQAAiD0AAH8_AAAQvQAAHD4AAGQ-AAA0vgAAZD4AAJq-AACovQAAJD4AAAS-AADYPQAA4LwAALi9AABwPQAAUL0AACS-AACovQAADL4AALK-AAB8vgAAlj4AADS-AAAMPgAA4DwAANi9AAD4vQAAhj4AAKi9AABwvQAAjr4AADS-AADgvAAAuj4AALg9AABUvgAAqD0AAB0_AACYPQAAHD4AABw-AACOvgAANL4AAHC9AACovSAAOBNACUh8UAEqjwIQARqAAgAAFb8AAKK-AACoPQAAMb8AAMo-AABAvAAAiD0AAIi9AADIvQAA-L0AANi9AABEPgAAqD0AAHC9AAAQvQAAmD0AAMi9AABJPwAAiD0AADw-AACoPQAAMD0AACQ-AACgPAAAJL4AANi9AADgvAAAoLwAAFw-AABQvQAA6D0AAKg9AADIPQAAZL4AAFQ-AADgPAAADD4AABy-AABwvQAAlj4AADw-AACevgAA4LwAAKC8AACAOwAARL4AAH-_AABEvgAAmD0AABw-AACOPgAAiL0AAEQ-AAC4PQAA-D0AALg9AACIvQAAyL0AADA9AACAuwAAEL0AAES-AAB0vgAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=aUUPhW5glGc","parent-reqid":"1765277685987628-6192403835560248789-balancer-l7leveler-kubr-yp-sas-199-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11477521080845901885"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14361824484963816967":{"videoId":"14361824484963816967","docid":"34-3-1-ZA871D3B694A61F02","description":"幾何・再生リスト】 • 位相幾何 【測度論・再生リスト】 • 【測度論】押し出しと引き戻し【ルベーグ積分】 【牧尾行人(Makio Ikuto)の欲しいモノリスト】 #数学 #makkyoexists 【Twitter】 / makkyoexists 【Spotify】 https:// t.co/J0er3N3kDK?amp=1 【Apple 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