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全ての概念に定義を与えることは原理的にできないため，どのような理論においても未定義概念から出発する必要があ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/227486/d46f05d1d35b420993b219ddb8a9c64e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/MYFfHAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3fdN1mPharI","linkTemplate":"/video/preview/7960221290431551338?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"現代数学における集合の考え方","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3fdN1mPharI\",\"src\":\"serp\",\"rvb\":\"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_gMF_gX-AeMJ__37AAAA8gD5DgUC_wDgDAP5_f4AAO4JAAEAAAAAAQgB_vH-AQAOAgb8_AAAAPvr-vn_AQAAAAf9AP4BAAD4DwAEA_8AABb7AQX0_gEA-QYBBgQBAAATE_z4AQAAAPvr_v8AAAAAIAAtrT7ROzgTQAlITlACKoQCEAAa8AF_-xMB3ve0AfoK7wD1BOgB2RgjADobA__FIw0B--HkAf4X9ADqCg0A6v0YAbwpGwES2rgCANz2ACv88f8J5iIA2hAUATENBgI34-8A4uTt_t0OGv_45hEAEPXsABj0_wHrCwgBDBAJAPLC5AEX5yoCLwAmARjpB_8awwT-5A_jABnu3v2qF_kBG_0AAK_-GwcZ6f4B9xr1-eAyBQNT4_MC_ewjBQcs1_42IfwCH_8MBQDf-PoX5fkC_OINBPoKDgcBDC373A3o_B308_Pz7eIAEgbs_O3W4ggJFf0G5vH1BekC9wEIDhMFzAUBAObf-QUgAC1cMBs7OBNACUhhUAIqcxAAGmBLFgAjEmAcGBH88P3fBjb559fp3OEP_y3WADAN8yAMAenS4wf_AxQGxKkAAAAh99vqCADleB4p3S7vGde7lugCO3gTKFAg6S7kzh5E_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_AAAwQQAAgMEAAJDBAABAQQAAuEEAAHBBAADgQQAAoMAAAABAAACoQQAArkIAAJbCAADIQQAAUEEAAIBAAAAAwgAAHMIAAMBAAAA0QgAAIEEAAHBBAAB0QgAAuEEAACDCAACAQgAAgD8AADxCAABQQQAAqMEAAHxCAAAkwgAAiEEAAPjBAACoQQAACMIAACjCAADAwQAAgMAAAIDBAABUwgAA0MEAAPDBAAA8wgAA4EAAAERCAACOwgAAMMEAABDBAABwQQAA-MEAAIrCAADowQAAUEEAAKJCAAAswgAA6EEAAERCAAAgQQAAAMAAAEBAAAAgQQAAhsIAALBBAAAUQgAAUEEAAIDBAACAwQAAlsIAAPBBAAAQwgAAuMEAAODBAADgwAAAMEIAAGBCAADwQQAAgEEAAIDAAABAwAAA2EEAAADCAAA8wgAA2EEAALBBAABQwgAAIMEAACBBAABgQgAAHMIAAFDBAAAoQgAAxMIAAFDCAAAIwgAAiMEAAJxCAABowgAAmMEAALBCAABMwgAA8EEAAEDAAABAwAAA4MAAAFDBAACowQAACEIAAFTCAAC4QQAAVEIAAPDBIAA4E0AJSHVQASqPAhAAGoACAAA0vgAADL4AAJI-AABQPQAA2L0AANg9AAC2vgAA4r4AAOA8AABwPQAAjj4AAJg9AAAwPQAAFD4AAFC9AAD4vQAAHD4AAJi9AADovQAAiD0AAH8_AAAwvQAA2L0AALg9AAA0vgAAoLwAANi9AACAuwAAcD0AABC9AAAwPQAA4DwAAOi9AABwPQAAoDwAADS-AACIPQAAED0AAFy-AAAkvgAAZD4AAIC7AAAQPQAAmL0AAES-AADIvQAAij4AAMg9AADovQAAZL4AALi9AABQPQAAtj4AAEA8AACivgAAMD0AAA8_AABAPAAAuD0AAMg9AAAUvgAA-L0AAKA8AADgvCAAOBNACUh8UAEqjwIQARqAAgAA9r4AAEA8AACoPQAACb8AAII-AAAwPQAAHD4AAHA9AAAcvgAAJD4AANi9AAD4PQAAuD0AAKA8AACKvgAA4DwAALi9AABHPwAA6L0AAAw-AACIPQAAqL0AAEA8AABwPQAAHL4AABy-AABAPAAAoLwAAGQ-AAAsPgAA-D0AAEC8AAAsvgAAQDwAAIg9AABwvQAAhj4AAJq-AACovQAAVD4AAKA8AACmvgAA4DwAAAQ-AACIPQAAcL0AAH-_AAAQvQAAJL4AAJY-AACePgAAfD4AAO4-AACIPQAAmL0AABA9AADYvQAAgLsAAOg9AAAwPQAAQDwAAEA8AAAEvgAAVL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=3fdN1mPharI","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["7960221290431551338"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"17977982721176395933":{"videoId":"17977982721176395933","docid":"34-11-7-ZE7549B2EAE01A93E","description":"め省略している部分があります． そのため，気になる部分について，説明欄での補足を試みています．： (補足1) "密度"という言葉について 密度は集合論の基礎的な部分では出てこない用語ですが，動画ではイメージしやすいように用いています． どの構造が必要になります． 実数直線上において，密度としてイメージできるような概念には，「集合の濃度」「稠密性」「疎な集合」「痩せた集合」...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/873012/adf2568372426da06aa9aaef8445cf2c/564x318_1"},"target":"_self","position":"1","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIcSQCJAKShs","linkTemplate":"/video/preview/17977982721176395933?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"現代数学を生み出した無限集合","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=IcSQCJAKShs\",\"src\":\"serp\",\"rvb\":\"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_gMF_gX-AeMJ__37AAAA8gD5DgUC_wDgDAP5_f4AAO4JAAEAAAAAAQgB_vH-AQAOAgb8_AAAAPvr-vn_AQAAAAf9AP4BAAD4DwAEA_8AABb7AQX0_gEA-QYBBgQBAAATE_z4AQAAAPvr_v8AAAAAIAAtrT7ROzgTQAlITlACKnMQABpgJiwAFhkwEfYUBfH5BwMcAgXn9dv2AwAb7wAPBQL4D_r-2vr__wP__fTUAAAAA_v0F_0A3DwVENj8_w3v6M4E7R5_-igKLAUNEOkWM_4BIxIAE-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_AADwwQAAUMIAAFjCAAAYwgAAQMEAAJBBAADoQQAALMIAAKjBAAAAwAAAbEIAAJjBAACgQQAAiEEAABhCAAAcQgAAGEIAANBBAAAwQQAAjMIAAGxCAACYwQAAZMIAAFhCAADgwAAAQMEAAABCAACYQQAAAAAAADDBAAA8QgAAAEAAAABAAACAvwAAAMEAALBBAADgQAAAdMIAAKBBAABAwAAA6EEAANDBAABgQQAAmEEAACDCAACgwQAAgEAAADhCAADQQQAAUMEAAMDBAADKQgAAQEAAADBBAADEwgAA0MEAAIJCAACIwQAAuEEAAJRCAADAwAAAAEEAAMhBAAAAwSAAOBNACUh1UAEqjwIQABqAAgAANL4AACy-AADGPgAA4LwAADC9AAAMPgAAur4AAO6-AAAwPQAA-D0AAMI-AAAQPQAAcD0AANg9AAAwvQAAiL0AAEQ-AABQvQAAQLwAAJg9AAB_PwAAML0AAPi9AAAEPgAAXL4AAMi9AAAQvQAAuL0AABw-AAAMPgAAoDwAAMg9AAAEvgAAmD0AABC9AAA8vgAA2D0AAKC8AABEvgAABL4AACw-AADgvAAAgLsAAIA7AAA8vgAAEL0AAI4-AABwPQAA2L0AADS-AAAQvQAAyD0AAIY-AADIPQAAlr4AAJg9AAAPPwAA4LwAAOg9AABcPgAABL4AAHC9AAAQPQAARL4gADgTQAlIfFABKo8CEAEagAIAAIK-AAAsvgAAyD0AABO_AAA0PgAA2D0AABw-AAB0PgAA4DwAAKA8AACovQAAED0AAAw-AACoPQAALL4AABA9AADovQAATT8AAGS-AABEPgAAyD0AACS-AAAwPQAAiL0AAFC9AABAPAAADD4AAIA7AACqPgAATD4AALg9AAAwvQAA2L0AADS-AABQPQAAgLsAAKg9AABsvgAAUL0AAIY-AACCPgAAqr4AAGw-AAAQPQAAqL0AACS-AAB_vwAAcD0AACy-AABcPgAA4LwAAIo-AAB8PgAAgLsAAGw-AAAwPQAAuL0AADA9AAAQPQAAiD0AAIg9AABMvgAABL4AADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=IcSQCJAKShs","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17977982721176395933"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13317078241400591701":{"videoId":"13317078241400591701","docid":"34-10-1-Z61FD792A0004B018","description":"現代数学に現れる多くの概念は，集合を用いて定義されます． 「自然数」のような非常に基本的な概念でさえ例外ではありません． この動画では，Zermeloによる集合を使った自然数の定義と，Peanoによる自然数上の足し算，掛け算の定義を与えます． を与えることができます． （なお，この動画では0も自然数に含める立場をとりましたが，0は自然数に含めない流儀もあります． できるという利点があ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1780151/b086cb534bfb172a1c350818b8c8533e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gfT3GwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8AjSs8TANKo","linkTemplate":"/video/preview/13317078241400591701?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"自然数の定義","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8AjSs8TANKo\",\"src\":\"serp\",\"rvb\":\"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_E5cEggQkAYAEKyqLARABGniB9voC_gEAAPr9DgT6B_0C8Ar5-_n-_QD4_f4DBQL_AOEDAvwI_wAA9A8IAPsAAAABCAH-8f4BAA4CBvz8AAAA--v6-f8BAAANAQEB_wEAAPwI_gYE_wAAD_4BCAAAAADuEwUCCfPuCwYN-QMBAAAA-OH7_AEAAAAgAC2tPtE7OBNACUhOUAIqhAIQABrwAX_1GAHK5ez_-gnxAOf66AC3FwgANRrlAMcE_QDf8t0A7xb4AOL_Df8FDe0AxCUYARgAzQAD0-YAIPXj_hzlDADjBR8BF-TiACoCBwD_9eb_7wUIAPsK_wIJ4Ov_DBX0_gAJF_0UF-n-Ce7EBw3-NAELByUDJOcNARfKA__TGvr__uPL_-kb7gP1BgD40P8aASH5AwTvGQEC1ivlAxPn__8H8hT4CxDYABP-9gLuKBH87cb9BBzl6QL02hkBCQ0FAuoVHf7UCAUEBvYC-Qjc6Pr9HfMIEfL9_xfnAALc7_32E_gH-eQCCwLs-vICAPj1_iAALQ9sLzs4E0AJSGFQAipzEAAaYEkkABgNZwkFDwLwDeMPLMnd0uPutRr_Rc7_KgbrGhn68dH0E__5Bh_boAAAAAv74_gPAOl_DQAONs8q6Mef5QhXYA06R9jORw-7DCz00vkeTh0GLADHHawwAg_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-EEAAHDBAAC4QQAAUEEAAODAAACAvwAAYMEAAAjCAADgwQAAHEIAAKBAAACQwQAAAMEAADDBAACwwgAAgMAAAHDBAADAQAAANMIAAABAAAAwQgAA4EEAAAxCAAAUQgAALEIAAIDBAAAMQgAAoMEAABjCAADAwAAA0EEAACDBAACQwQAAwMAAAIDAAACIwQAAkMEAAIRCAADkwgAAHMIAAAAAAAAQQQAAikIAAKrCAADgwAAAXEIAAADCAACgQAAAMEEAAIDBAAAwQQAAAMAAAAAAAABwQgAAbMIAAKBBAACgwAAAeMIgADgTQAlIdVABKo8CEAAagAIAANi9AADYvQAAZD4AAKg9AABMvgAAqD0AALK-AADGvgAAqD0AAIA7AACiPgAADD4AAEA8AAAMPgAAcL0AAFC9AABkPgAAEL0AANi9AABwPQAAfz8AAJi9AABQvQAAHD4AAFS-AADgPAAAdL4AAIi9AABwvQAA4LwAADA9AAAwPQAAmL0AAAQ-AADoPQAABL4AAIA7AAAkvgAApr4AAAy-AABcPgAAUL0AAHA9AADgvAAABL4AABS-AAD4PQAAJD4AALi9AAAsvgAAmL0AAOg9AACePgAABD4AAHS-AABwPQAADT8AADA9AAAEPgAA2D0AAPi9AADYvQAAQDwAABC9IAA4E0AJSHxQASqPAhABGoACAAAkvgAABL4AABC9AAApvwAAdD4AAEQ-AABUPgAAQLwAAIC7AAAUPgAAUL0AAIg9AADYPQAA4LwAAAS-AACAOwAA-L0AAD8_AABMvgAABD4AAKC8AAAEvgAAmD0AACw-AACIvQAAmD0AADC9AACYvQAAXD4AANg9AACYPQAAmL0AAJi9AACovQAAiL0AABC9AADYPQAAtr4AAAy-AADoPQAAED0AAFC9AABsPgAAyD0AAFA9AAA8vgAAf78AADw-AADYPQAABD4AAHA9AABwPQAAmj4AAIA7AACAuwAAcD0AAEC8AAAEvgAAQLwAADA9AADIPQAA2L0AABS-AACovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=8AjSs8TANKo","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13317078241400591701"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1904798410062163303":{"videoId":"1904798410062163303","docid":"36-3-0-Z08C5FB2723CD66A1","description":"石器時代の人類は、1人が1日で消費するカロリーは4000カロリーでした。 これは食物として摂取するエネルギーだけでなく、道具、衣類、たき火などに使うエネルギーを含んでの数値です。 では現代に生きる平均的なアメリカ人はどうかといえば、280000カロリーです。 自動車、パソコン、冷蔵庫、テレビなど、現代人は石器時代の人類より70倍近いエネルギーを使って生活している、というわけです。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1376113/9289bcae4ef561ff8e2748c8d1fb22731127_rt/564x318_1"},"target":"_self","position":"3","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0E38HCXxXMA","linkTemplate":"/video/preview/1904798410062163303?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"苦しみの連鎖を断ち切る方法【仏教の教え】","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0E38HCXxXMA\",\"src\":\"serp\",\"rvb\":\"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-AgD2_gMF_gX-AesD_Pr7__8A_AH7Bf0F_gDtB_3-A_8AAPUPCAD7AAAAAQgB_vL-AQANAgb9_AAAAPvs-vn_AQAAAAf9AP8BAAD4DwAEA_8AABX7AQX0_gEA-QYBBgQBAAAMCPn8AQAAAPvs_v8AAAAAIAAtwqTaOzgTQAlITlACKnMQABpgKCAAFRs4Fu0XAuv6Bf8cAQDl-NTtAwAf6wARCfv4EPb62_r-_wUAAPLPAAAAA_vyF_8A2EIeD9QB_g7u4ssB6SV_9y0IMf8QB-QbMfUCIBQCFOj0APcG2uwPChUVFtocIAAtoQN4OzgTQAlIb1ACKq8GEAwaoAYAAMDAAAAoQgAALEIAAOjBAAAgwgAAmkIAABxCAACYQQAAuMIAAODAAACoQQAAAMAAAFDBAAAAAAAAYEIAAPjBAACQwQAAyMEAAFBBAACAQgAATEIAAKjBAABEwgAAkEIAAIBBAACQwQAAcEEAACDCAACQwQAA6EEAABTCAABgwQAANMIAAKhBAADowQAAlkIAAIjBAAD-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_AADYwQAAUMEAANjBAACAwgAABMIAANhBAAAkQgAAsMEAAMhBAAAAQAAAGEIAAMBBAABgwQAA8EEAAATCAAAcQgAAkEEAANjBAAD4QQAA2MEAACBBAAA8wgAAksIAAPBBAABAQgAAMMEAAIC_AAAQQgAAcEEAACDBAACAQQAAcEEAAOBBAADIQQAAVMIAAJhBAADAwAAADMIAABBBAAAUQgAAQEAAAILCAABAQQAAZEIAALbCAABQwgAAeMIAAOBAAACSQgAAHMIAAGDBAADqQgAAoMEAANhBAAAIwgAACMIAAADCAABQwQAAIEEAAJhCAAAEwgAAbEIAACTCAABAwSAAOBNACUh1UAEqjwIQABqAAgAAdL4AAHC9AACuPgAAQDwAALi9AABEPgAAPL4AAAO_AABwPQAAQLwAAKo-AACoPQAAUL0AAAQ-AABwvQAA2L0AAPg9AACIvQAAoLwAAGw-AAB_PwAAoDwAAOi9AADoPQAADL4AAHC9AADovQAADL4AAHA9AAC4PQAAQLwAALg9AAAcvgAAND4AAIC7AAAUvgAAqD0AAHC9AACGvgAANL4AAJg9AABwvQAAcL0AAKA8AABEvgAAFL4AAII-AACoPQAALL4AAHS-AACovQAA-D0AAKY-AAAMPgAAyr4AABA9AAAdPwAAQLwAALg9AAD4PQAADL4AAIA7AABAvAAAuL0gADgTQAlIfFABKo8CEAEagAIAABy-AABwPQAAND4AAC-_AACoPQAADD4AABw-AABAPAAAdL4AAKY-AADgvAAA-L0AABA9AACIvQAADL4AAOC8AACYvQAAWT8AAHA9AAA8PgAABL4AAIK-AACIPQAA4LwAADC9AACAuwAAoDwAAIC7AABcPgAAcD0AAKA8AABAvAAAqL0AAIi9AABwvQAAcL0AAPg9AAAcvgAAcL0AAOA8AABQPQAAUL0AADC9AADgvAAAJL4AAFC9AAB_vwAAcL0AAIg9AACiPgAAXD4AAEC8AAAkPgAAqD0AAOC8AACAuwAAoLwAABw-AADIvQAAiD0AADw-AAC4vQAAcL0AAJi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=0E38HCXxXMA","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1904798410062163303"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"9503979667598722513":{"videoId":"9503979667598722513","docid":"34-2-13-ZEB24D7090C0A1359","description":"#数学 #大学数学 #数学ラジオ 大阪なんばにある数学好きのためのスペース「Sou数学ラボ」の管理人が作っています。 数学ラジオシリーズはじっくりと数学を楽しみたい人向けの動画コンテンツです。 この動画は「数学の基礎」編の第2話です。 語力！ 理人のnoteのアカウント ⇒ https://note.com/souji0426 数学関係の欲しい本リスト公開中です。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2456479/233a336499759a9aa6eae27c8ededc24/564x318_1"},"target":"_self","position":"5","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwdmiDfXBkq0","linkTemplate":"/video/preview/9503979667598722513?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"【数学ラジオ】現代数学への入り口【数学の基礎編#2】","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wdmiDfXBkq0\",\"src\":\"serp\",\"rvb\":\"Eq0DChM3OTYwMjIxMjkwNDMxNTUxMzM4ChQxNzk3Nzk4MjcyMTE3NjM5NTkzMwoUMTMzMTcwNzgyNDE0MDA1OTE3MDEKEzE5MDQ3OTg0MTAwNjIxNjMzMDMKEzk1MDM5Nzk2Njc1OTg3MjI1MTMKFDEyMTk5MDg1MzM2MzA0MzIxOTkwChMyMDU3NDczNzcyNzQ2NDE1NDg3ChQxMDM4MzkwMzY3OTA0Mjk0Mzg3NwoTMTgyNjczNjAzNTk1NTIwMzI3MwoUMTY0ODMxMjI3MDA1MDI3MDI4NzIKEzI5NTE0OTc2MzQwNDIzNTY1MzgKEzEyMDU3MzIwNzAxMDUwOTU4MDcKEzU0NjgyODE3MjY4NzE5MTMyMTcKEzI3NzA2MTA0MjMxNjM4NjkyNzYKFDExMTI1NDMwMzc0NDU3OTU2NzI3ChQxMTIwMTAxNTAzODk0NzgxMjQ3MgoSNjE5ODczNDQ3NzQ1Mjc5Nzk2ChQxNDc3MTkxNTE2MTY2MTE3MzU0MAoUMTg0MTIyMzQxMjc3NjYxMTQ5MzUKFDE1ODM0MTU4OTM2NzI2MzgxMTk0GhUKEzk1MDM5Nzk2Njc1OTg3MjI1MTNaEzk1MDM5Nzk2Njc1OTg3MjI1MTNqrw0SATAYACJFGjEACipoaGh6ZnlxY2d4ZHptbmRiaGhVQzlHd01sWWsyRXVqU0RmckZoc011bEESAgASKhDCDw8aDz8T3w-CBCQBgAQrKosBEAEaeIH3_vwA_gMA_QIFAvoF_gLoCfj--wD_APj9_gMFAv8A7Qf9_gP_AAD-CwcCAAAAAAEIAf7y_gEADQIG_f0AAAD87Pr5AAEAAAcH_wL-AQAA_Aj-BgT_AAAV-wEF9P4BAPILAgEE-fgFBw_9-AEAAAD77P7_AAAAACAALQBT2zs4E0AJSE5QAipzEAAaYCscABoZPxnuEgLk-AT4H_n65QHK6fkAIOwAEwj69BLv-dz3-v8L-_30ygAAAAby8hIMANlJLw_VE_sX6ua8_ekef_YsBSwFEP7gGTfsCiIa-APZ_QD6-tfkDQ0YEibjGCAALRAPaDs4E0AJSG9QAiqvBhAMGqAGAACYwQAAUEIAABxCAACQwQAAiMEAAI5CAABsQgAAgL8AANbCAAAcwgAAiEEAADBCAAAAwQAAYEEAAERCAAAQwQAAGMIAAODAAAAgwQAAIEIAAJpCAABkwgAAAMIAAExCAADgQQAAaMIAAADAAAAkwgAAUMIAALBBAAAgQQAAAEAAAEBBAAAoQgAAmMEAAIDAAABAwQAA_EIAAIpCAAAYQgAAdEIAAKBAAACIQQAA6EEAAHRCAABgwQAAcEEAAHhCAACYQgAAYEEAAADCAADYwQAAcMEAAATCAAAswgAAEEEAAJDBAABQQQAA8EEAADBCAACQQQAAoEAAACDBAABIwgAAwEAAAIDBAACIQQAAmEEAAGDBAAB4wgAAQEAAANBBAACQwQAAukIAABTCAACAwAAAbMIAAMBBAACsQgAAsMEAAEBCAAD4QQAAkEEAADDBAAAQQgAAvkIAAHRCAAAAQAAA4MEAALBBAABoQgAA4MAAAAxCAACIwQAAwMEAAABCAABMwgAAskIAAExCAABAwAAAYEEAAKBBAABQQQAAyMEAAGTCAAAAwQAAkMEAAHRCAAAAwAAAUMEAAKBAAABkQgAAtsIAAJhCAADwQQAAcMEAAHBBAAAMwgAAFEIAAPjBAACIQQAAYMEAAHBCAAAswgAAEEEAAKhBAADgwAAAFMIAAKDBAACgwgAAJEIAAKDBAADgQAAAGEIAAPjBAAC4wQAAgEEAAFDBAACAwQAAkMEAAGDBAAAUQgAADEIAAODAAACKQgAACMIAAHBBAAAowgAAcEEAAKhCAAAcwgAAkEEAAPBBAAAEwgAAEEIAAOjBAABAQQAABMIAAIDCAAC4QQAAqMEAAERCAAAoQgAAREIAAHDBAACQQQAAiEEAAAAAAAB4QgAAgL8AAADCAADoQQAAqMIAAEzCAACAwAAAwMAAAHBBAACgwgAAgD8AAKDAAACCwgAASMIAAGzCAAAEwgAAnkIAAEBAAAAgwQAAfEIAABxCAACgwAAAQMIAAADBAAAkQgAAQEEAACBCAACIQgAAuMEAABBBAACAQAAA0EEgADgTQAlIdVABKo8CEAAagAIAADS-AAAMvgAAjj4AAOg9AAC4vQAAJD4AAKq-AAD-vgAAUD0AAIA7AACyPgAAcD0AAIC7AAA8PgAAoLwAAAy-AAB0PgAAqL0AABy-AAAQPQAAfz8AANi9AAAMvgAAFD4AAHy-AADgvAAA6L0AAKC8AAAQPQAAqL0AAMg9AACYPQAADL4AAAw-AAAwPQAARL4AAEA8AAAQPQAAlr4AACS-AACSPgAA4DwAAIA7AACYvQAAdL4AABy-AAC2PgAAuD0AALi9AABkvgAAqL0AAEC8AADWPgAAgDsAAI6-AAAQPQAAHT8AADA9AAAQPQAAqD0AADy-AAAMvgAAgLsAAJg9IAA4E0AJSHxQASqPAhABGoACAACevgAAQDwAANg9AADWvgAADD4AAEw-AACOPgAAnj4AABC9AAAwPQAADL4AALg9AAAUPgAAcD0AACy-AABwPQAA6L0AADM_AACGvgAAUD0AAIg9AACOvgAAMD0AAEC8AAAQvQAAEL0AAES-AABwvQAAND4AABA9AAAQPQAAML0AAEy-AADIPQAAbD4AAOC8AAABPwAAgr4AAOC8AADIPQAAJD4AAJ6-AAD4PQAA6D0AABw-AAA0vgAAf78AAMg9AABUvgAATD4AAIY-AACaPgAA5j4AAIg9AADovQAAqD0AAAy-AACOvgAAHD4AACw-AACIPQAADL4AAJK-AACYvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=wdmiDfXBkq0","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9503979667598722513"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12199085336304321990":{"videoId":"12199085336304321990","docid":"34-0-6-ZE20BEE495BA2C55A","description":"動画ご視聴ありがとうございました！ 今後も数学コンテンツを軸とした情報発信をしていこうと思いますので、是非チャンネル登録お願いします！ 登録はコチラ↓↓↓ / @楽しい数学の世界へ 単位取得を目指す大学生・数学検定などを控えた学生へ。 トップレベルの大学の理工系を目指す受験生や医学部難関校を目指す受験生。 ぜひ解いてみてください。 また志望校が上記以外（文系の商学・経済学など）であって...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1032981/181d583943af892156863482551e7a8c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/iBMUxAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1yxrtZyTUtI","linkTemplate":"/video/preview/12199085336304321990?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"数学者になるためのアドバイス","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1yxrtZyTUtI\",\"src\":\"serp\",\"rvb\":\"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_E7wQggQkAYAEKyqLARABGniB9voC_gEAAPX-AwX-Bf4B4wn__fsAAADyAPkOBQL_AOAMA_n9_gAA7gkAAQAAAAABCAH-8f4BAA4CBvz8AAAA--v6-f8BAAAAB_0A_gEAAPgPAAQD_wAAFvsBBfT-AQD5BgEGBAEAABMT_PgBAAAA--v-_wAAAAAgAC2tPtE7OBNACUhOUAIqhAIQABrwAX8dHwHiD8gCARcAAMf87QHb8w0AETMWAM73_wDv5hABAA3hAO_w5gDUwAgB_y0C_hHo7AAQ-OYAKR7p_wEHKADq9AsAQAD3AQDi8__U3f3_FOUo_czxHwIHB__-OuwYAOIrAP32Hd8B2L4hAe7o9wIiEw4C7QgIBf_gCvoH-ewA_-P3BKng7ADsB_UC5O0K___iBPjPNOz82zAd_k0F6wDt_CYB5B0OCxIH4gUhyev5EN3-_fTq5AjNGPf-CPj2BSstB_MPFOD_APn8BOzX__kj9QL35PoBCdsD5APq0BkB6w75EiUCAvjECfby8vYT7SAALePrGzs4E0AJSGFQAirPBxAAGsAHRSz6vu1kEL1UQYC9PGbgPLWS7ztSIYM883cOvGIcMj1fCHm9uizmvRp-gbwP5VW80nKQvv2ufj1cEQ26wKSyPQTUiryfknM9ubyevakw-DvY_gS9Efw_vn9geD0QRBK8EIR6vTqc1Dxd7yi9ZL6wO-pcsT1mo_M8uoUevlBonr3Y4gm9Nspavmoab7yHp4C3S1fQPUlkP73qeEy8-2Ffu2QQzjxxUEc9TCGrvLIJ1Twhsfi8XR5GvBAGnjxhmS29fVhfPtfguzvqufu8ei-TvYZ2nr0_s9o8uzalPeKb3DySMMK8DRc5vUSRJLwqkFk86xwDvpErVb0K0xy9o5LaPZqOpTwC0fg8wNFpOpIkGD7KNLs6uSmvvB0GkLuD7yc9fIDOPX5MNbx_-o-804bjPcx2aj3WdL08th-avW1roD0jDZO8SFP9vS-_U7yFqIy7GyWkve8QsbuMPhM8ssuBPGoEgT3JDIq8hcyKPWeUg70nn4M86oKAvVWcn71zN4C6H1VjPSrJij0PNJU8INS1vYuJTTyOGwA8TYXXu4easrx6KQa8TaYlPWp5bz3r2BA8p2O0vXJTg71s68Q7MftGvbX0bT1LtpU8Pk0cPXcftjxSCbQ8NKa7PSqbKL1CbPq7V16yPNGFpju9Ooc8hWbyvMlOKT11T3s6n53Cuz92mDkbs_S6DAMWPX0IKrz61FK7TBGaPUh9Yz06hV65ElDBPcF4Qb1h0wq6uHRMvSGH7zsElli6bZ8APKX3zb2T5p65AqZCPJ-pHL3YsoS6P96SOxAIzzzzxNa4YZntPOlDvL0CAak2wOeXPaWCaj0huYO5Cw-FPZnktryORXa5fBn7vBgJbT0ZWY03JQV2vSPjB732k6s5-Oe9PSVX1jywFm45uyDsvLcUJr3dxtc3dKgQPXEghD2VTgK4dOeevczAN72axZW43LS-PFxCmbyXPMu45s2hPF4lRLxeYxc5RGuVvWnjqL2C5EE3WseXvRkHcryR0qw4F4V4PSe85D3ojjK3DEw4PIOtiDzhLEK57m5vPRRBHL0JFbG2cHATPRFcQDzq3YA5Y6iEvWaZL73HPsk3rM61Pcruwz20wBM5TYRtvXv6Y7yj-I64V8IDvAAIjjyM4po4tSWxPetQ8jx6vEi55cn_vESo0jx7f1Y4jkqQPX4cjb3pFjU4S0oQPekw-jwsesU1dLL5PDEwAb23y9W20n41PHxKqTzt77c4nfHdPf5HJj3HLhC2Cdbhu7bLCL0cJ4C3pA68PBhJwT2Bi0a3IAA4E0AJSG1QASpzEAAaYEkdADApZBkMFxLh8u30QQDjxvTL0fz_M97_NQf9IAT3-snyCf8FCdrKpgAAAB70097_ALt_SBi9J-oX76ylxgA9dPssQTcAH9TFPz3g6RgxEPH66QD4MYPrCAo4HwzHGCAALcH3FDs4E0AJSG9QAiqvBhAMGqAGAAAMQgAA8EEAAEhCAAAcwgAAQMEAAGRCAAAUQgAACEIAAOTCAACgwAAATEIAAAzCAAAgwgAAoMEAAHxCAADwwQAALMIAADTCAADgQAAAVEIAADBBAACIwQAAkMIAAHRCAADgwAAAyMEAAIBAAACAwAAAuMEAACxCAADgwAAAiEEAAGDCAAAAQQAAEMIAADRCAAAwQQAA_kIAALDBAACAQgAAUEIAAAAAAAAcQgAAAMAAAKDAAACQwQAAAMAAAAxCAADEQgAAWEIAAMDAAADAQAAAUMEAAIDAAAA0wgAAHMIAANzCAAAoQgAAAEAAALhBAAAQQgAABMIAAIDBAABcwgAAqMEAAJjBAAA0wgAAIMEAACTCAABUwgAAgEAAAFBCAABAQQAA7EIAAFTCAACYwQAAGMIAAOBAAABMQgAAwEEAAJhBAADAQQAAgEEAAABAAAAQwgAAXEIAAChCAAC4wQAAEEEAAADAAADowQAAMEEAAAAAAACAwQAAQMEAAIC_AABAwgAAIEIAAEhCAAD4QQAACMIAADRCAACIQQAAgMAAADjCAAAAwgAAgL8AAKBCAAAQwQAAwMAAAJBBAAB0QgAAZMIAADxCAAAEQgAAsEEAAODAAACYwQAA4EEAAKjBAABwwQAACMIAAIDAAABUwgAAmMEAAJhBAADAwAAARMIAAETCAAAUwgAAIEIAAFBBAAAAwAAAGEIAANjBAABAwQAAMMEAADxCAABUwgAAmMIAAJDCAAAcQgAA4EEAABDBAABkQgAAyEEAAMBBAACYQQAAgEEAALBBAADwwQAA0EEAABBCAAAcwgAAoEAAAEDBAABQQQAA6MEAALTCAACAvwAAUEEAANjBAABwQQAAJEIAAEBAAACAvwAAiEEAAIBAAACgQQAA0EEAAPjBAAAIQgAAFMIAAKDBAAAgwQAAQMAAADBBAACmwgAAEEEAAFRCAACawgAAIMIAAIDBAACoQQAA6kIAAODAAACQwQAA_kIAAHDBAAAwQQAAkMEAAMjBAACAvwAAYMEAAIDAAABgQgAATMIAANhBAABAwAAAEMIgADgTQAlIdVABKo8CEAAagAIAAAy-AACYvQAAtj4AAJg9AADgvAAAVD4AAIK-AADWvgAA4LwAAIg9AACOPgAAUD0AAOC8AADIPQAAQLwAAMi9AAAMPgAAML0AAD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席亭の龍孫江でございます． この動画では，龍孫江の数学日誌の令和３年４月現在のおしながきをご用意しております． それぞれの詳細はこちらの動画をご覧ください． Twitter： / ron1827 可換環論bot： / commalg_bot 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」 この“選択の差”が、5年後のあなたの【資産】と【幸福】を決定づけます。 ら数億円ほど変わってくる世界です。 済み／ 登録者急増中のため、お早めにどうぞ。 【今すぐ特典を受け取る】👇 📩 https://form.lmes.jp/landing-qr/20074... ꧁━━━━━━━━꧂ 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証明を学ばなければならないのは、なぜなのでしょうか？ この動画を見れば、証明への見方が変わるでしょう。 題・証明」を知ろう https://math-fun.net/20180705/239/ 数学の証明とは何か、なぜ必要なのか？ https://math-fun.net/20201027/5671/ 厳密さ・証明が現代...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4234775/5557343e723fd220fc6ff2a25bc5d02b/564x318_1"},"target":"_self","position":"14","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQroA7Ug8pM0","linkTemplate":"/video/preview/5468281726871913217?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"大学数学はなぜ証明や厳密さに異常にこだわるのか","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QroA7Ug8pM0\",\"src\":\"serp\",\"rvb\":\"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__7-AwDw_gAF-AP_AekFBv78__8A_AH7Bf0F_gDxCgL7-gAAAPgFAgIAAAAA_v7-__j-AAANAgb9_AAAAPvs-vn_AQAA-Ab5AP4BAAD4DwAEA_8AABX7AQX0_gEA_AEDBv7_AAALCPn8AQAAAPvs_v8AAAAAIAAtUvfaOzgTQAlITlACKnMQABpgMDUAHBk9FvgU--7uDQYgAQfj9Nf4_AAe8QASCgL7DPP71PcB_wr6_OrMAAAA__z2FP4A5UgVEtQYABfm1ccJ7Sh_CCz8Lf0SFvMeJfj8HxH_D-jxAPL82OwKBBsaJMsjIAAt6f5rOzgTQAlIb1ACKq8GEAwaoAYAACDBAAD4QQAAIEIAAIC_AABwwQAA8EEAAEBAAADowQAAVMIAAIDBAADoQQAAksIAALDBAADoQQAA2EEAACjCAADAwQAAOMIAAKDAAABEQgAAMEEAADBCAACWwgAAeEIAAAjCAAAwwQAAiMEAAIjBAAAAwAAAUEIAAHDBAABAwQAAQMAAAAhCAAAkwgAAaEIAAKDBAADcQgAAAAAAAM5CAAAMQgAAQEAAAEBAAADowQAAoEAAAKjBAAAgwQAAgEIAAJxCAADwQQAAYMEAALjBAACgwAAALEIAAILCAAB4wgAAZMIAAOjBAACEwgAAoEEAAFBBAACgQAAAQEEAAOBAAACYwQAAQMEAAGjCAAAUwgAARMIAAEDCAAAEwgAAKEIAAARCAACUQgAAcMEAAHDCAAA0wgAAcMEAAIhCAADAQQAAcEEAAFhCAACgwAAA-MEAAJBBAABAQQAAQEIAAJjBAADAQQAAHMIAAGBBAAAwwQAA6MEAAIC_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-D0AAAy-AABMPgAAjr4AAPa-AABAPAAAQLwAAHw-AACIPQAA4LwAAAw-AACAuwAABL4AAGQ-AADIvQAAJL4AABA9AAB_PwAAoLwAANi9AAAEPgAAHL4AAOA8AAAkvgAAqL0AADA9AABAvAAAcD0AAIA7AAD4vQAABD4AAFC9AAAcvgAAQLwAAFC9AABkvgAAHL4AADQ-AAAQvQAAcL0AAKC8AAAcvgAABL4AAKI-AACgPAAAHL4AAIK-AAAwvQAAoDwAAM4-AABwvQAAor4AAKA8AAATPwAA4DwAAFA9AAC4PQAARL4AAMi9AABAPAAAQDwgADgTQAlIfFABKo8CEAEagAIAANK-AAC4PQAAQLwAALK-AAAkPgAAXD4AALI-AACKPgAAUL0AAIg9AABQvQAAcD0AAIA7AABQvQAAqL0AAIg9AABQvQAAIT8AAEy-AADIPQAAoLwAAAy-AADgPAAA-L0AAKC8AACAOwAADL4AAOi9AADIPQAAqL0AAHA9AACAOwAAfL4AAOg9AACaPgAAyL0AAPo-AADgvAAABL4AAFA9AABkPgAARL4AADw-AACIPQAAuD0AAJi9AAB_vwAAoLwAAAS-AAB0PgAAtj4AAEw-AADuPgAAoLwAACQ-AABAvAAAmL0AAKa-AAAQPQAAJD4AAEC8AAC4vQAAir4AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=QroA7Ug8pM0","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5468281726871913217"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2770610423163869276":{"videoId":"2770610423163869276","docid":"36-4-0-Z3367BFB2C4A2194A","description":"元保育士たいこの配信へようこそ！ リスナーネームは『たいやき組』 助手は旦那のノリスケ！ ルキーホルダー！ みてください✨ ※チャットの注意事項※ 全員のコメントが読めない場合もございますのでご了承ください。 (のちほどアーカイブで確認させていただきます！) 初見さん、最新動画にコメントをしてくださった方、スパチャをくださった方のコメントを優先的に読ませていただきます。 乱暴なコメ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/932007/9977cc536db95bb716d7a951513dbfc01126_rt/564x318_1"},"target":"_self","position":"15","reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DbDoY4sNveK0","linkTemplate":"/video/preview/2770610423163869276?parent-reqid=1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL&text=%E3%81%BF%E3%82%93%E3%81%AA%E3%81%AE%E7%8F%BE%E4%BB%A3%E6%95%B0%E5%AD%A6&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"みんなのお誕生日おめで鯛メシ配信！ 20:30～22:00※必ず概要欄も見てね","related_orig_text":"みんなの現代数学","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"みんなの現代数学\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=bDoY4sNveK0\",\"src\":\"serp\",\"rvb\":\"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__n8-_wFAO36B_sEAAAA8Qr5_Pr-_QD7BQEICAT-AOgB_QD7_wAA9QIG8f8AAAD9BQH7-v4AABADAvUEAAAA-_oDA_4AAAABCAUE_gEAAP0H_gYD_wAAFvr-DAAAAAD4CQAI_AAAABEQ9QUBAAAA-_P7-QAAAAAgAC1bBuE7OBNACUhOUAIqcxAAGmAdHgASEjMM9Q0H6_UB_SUGBO4D0vn5ABvwAAoN__MOAvzl-vj_B_8A9NcAAAAACfMR9ADgNhkO4wb8GertzQvtH3_nIfkjAQf-7h4lAgQQGAEG8O0A9QLw8AoBCxsY4BwgAC0-YYw7OBNACUhvUAIqrwYQDBqgBgAATEIAAPBCAAC4QQAA-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-wgAAEMEAAHBBAACAvwAAgMIAAFDBAAC4wQAAQMAAAKjBAABEwgAAEEEAAJhBAAAkwgAAZEIAAMDAAADYwQAAsEEAAIhBAADoQQAAmMIAADDCAADIQQAAEEEAAJBBAADQwQAAQEAAAIhCAACwwgAAkMIAALRCAABMwgAAIMEAAIDBAAAcwgAAuMEAADjCAAAYQgAA-EEAAJbCAAD4QQAAEMIAABhCIAA4E0AJSHVQASqPAhAAGoACAAC4vQAA6L0AAJ4-AADgvAAAMD0AADQ-AADovQAA-r4AABA9AADgvAAArj4AAIg9AAAwvQAAJD4AAKi9AAAwvQAAVD4AALi9AACAuwAAjj4AAH8_AABwPQAA4LwAABQ-AACgvAAAgLsAAPi9AABQvQAAND4AAOg9AAAQPQAA-D0AACS-AAAwPQAAoLwAAPi9AACAuwAAcL0AAK6-AABkvgAAmD0AAHC9AABAvAAAqL0AADS-AADYvQAArj4AAKA8AADovQAApr4AABS-AAA0PgAAqj4AAAw-AACuvgAAQDwAACM_AACAOwAADD4AAHA9AAAcvgAAgDsAAFC9AACIvSAAOBNACUh8UAEqjwIQARqAAgAAgr4AAPi9AAAEPgAAJ78AAEw-AAA8PgAAUL0AABw-AACivgAAhj4AAOA8AACYPQAAPD4AAKA8AAAEvgAAgDsAAAS-AABjPwAAmL0AAAQ-AADgvAAAJL4AAJI-AAAsvgAAUL0AAOA8AACgvAAAuD0AALI-AACAuwAAuD0AANi9AABAPAAALL4AAAw-AABAvAAAgDsAAIC7AACIPQAAQDwAALo-AACGvgAA4LwAADS-AACGvgAA6L0AAH-_AABAPAAAUD0AAKo-AAA0PgAAQDwAADQ-AABkPgAAUD0AAIA7AAC4vQAAqD0AAJi9AADYvQAAQDwAABS-AACgPAAAiL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=bDoY4sNveK0","parent-reqid":"1764324410085924-17825078201824356220-balancer-l7leveler-kubr-yp-vla-173-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["2770610423163869276"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"11125430374457956727":{"videoId":"11125430374457956727","docid":"34-10-11-ZDFC4B1068114A432","description":"今回は、なぜ数学の単位を落としたのかを話していきます。 僕は大学で理学部数学科を卒業しましたが、線形代数を含む数学の単位をいくつか落としてしまったんです。 過去の自分を反面教師として、単位を取れる勉強法について考えるので、ぜひ最後まで見ていってください。 分」 https://amzn.to/3WVwonU 小寺「明解演習 線形代数」 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そもそも、本をどう使えばいいかわからない。 この悩みに答え、自信をもつ独学の方法を解説していきます。 で大学数学の論理的な文章読解に自信をつけよう 大学数学の教科書の精読方法 独学の難関「行間」とは？ • 大学数学の教科書の精読方法 独学の難関「行間」とは？ 上級者まで】 【音声】 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