【数学A】1-2-3 集合と論理 論理 背理法
Contents: Thanks for watching. Please also go to my twitter and instagram linked below. Twitter link: MT 数学・maths channel@maths_mt Insta link: https://www.instagram.com/mt_mathschannel/ チャンネル運営と動画制作を支援していただけると幸いです! 欲しいものリスト:https://www.amazon.co.jp/hz/wishlist/ls/2UVYOZW56CP47?&sort=price-asc -------------------------------------------------------------------------------- [[リンク集 links]] オイラーの公式 Euler’s formula [27] https://youtu.be/9VC1v1Vwojg [323] https://youtu.be/5VBxhA8ROzc フェルマーの小定理プレイリスト Playlist of Fermat’s little theorem. https://www.youtube.com/playlist?list=PLlA6jgaa1nvgFSD5X50Gb6oYhcQQ-Nhph 漸化式の構造プレイリスト Playlist of recursive formula. https://www.youtube.com/playlist?list=PLlA6jgaa1nvgZkHCWbf-vkBDiOxfctZAa 和分差分について Discrete differentiation and summation. 解説 Theoretical explanation. [221] https://youtu.be/zLg5T2iVaeQ [222] https://youtu.be/QGnvFSfaJLU 冪乗和の公式 Power sum. [130] https://youtu.be/nNgPsVTt8e0 [131] https://youtu.be/9Ge7IkL2aTk 参考 [369] https://youtu.be/WK8V3PE6VVs 難しくなる構造(複雑に見える漸化式) looks-difficult recursive relation. [243] https://youtu.be/sQeNmI9Xucc [244] https://youtu.be/tmB3jWSQ6Ts [245] https://youtu.be/6yncOC0Bskg [246] https://youtu.be/P-h-BdKllqE [251] https://youtu.be/glpXNAhncuA [268] https://youtu.be/Lu6rTjRnvD8 [269] https://youtu.be/2I9lzATi0Sk カタラン数 Catalan number 解説 explanation. [54] https://youtu.be/rfQ4O2hfba0 演習 practice. [53] https://youtu.be/GQ53HD6UDsQ 定義漸化式を解く[276] https://youtu.be/hnGWEm28LhQ 極線・円束・直線束・曲線族 Polar line, Pencil of circle, Family of curve [280] https://youtu.be/FQJYtDU7KkA [282] https://youtu.be/FTkp59t2HwQ [283] https://youtu.be/vESCJ5Kdd54 [285] https://youtu.be/k7bjOd7FG7o 一次分数関数と円円対応 [214] https://youtu.be/y7s8rzE2iUs 母関数 漸化式を解く[274]https://youtu.be/Z41JGtNIRPg カタラン数 [276] https://youtu.be/hnGWEm28LhQ フィボナッチ数列とパスカルの三角形 [277] https://youtu.be/VYNr9sQMQQE 外積ベクトル cross product 解説 explanation [76] https://youtu.be/IrfE3r5Nzok [78] https://youtu.be/bopooyIvxJE 演習 practice [77] https://youtu.be/GKIUBtm6Kq4 [84] https://youtu.be/sWUg145IxGQ [102] https://youtu.be/-5FkBTYJXBw [267] https://youtu.be/Vcwm-K9s9gQ ベクトルの斜交座標 general coordinates system and vectors. [3] https://youtu.be/385ffT7WLo8 [75] https://youtu.be/lHbGi7hbmk0 重心座標とベクトル gravity-point coordinates system and vectors. [72] https://youtu.be/FTp3QcNuylc [73] https://youtu.be/AwiMgtX3hLY [74] https://youtu.be/WX3IoetYZqY [194] https://youtu.be/RTRlPz3rS08 [198] https://youtu.be/ri8v41VXCfw テイラー展開 Taylor expansion. 解説 explanation [231] https://youtu.be/7xqX-6FhQjg [232] https://youtu.be/QRBpYuN_gEw [233] https://youtu.be/dC-vI6yOjTQ 演習 practice [234] https://youtu.be/EIRCItnCPWo [235] https://youtu.be/X5i5pX7Dwnc 無限級数と微積分 infinite series and Taylor expansion. [117] https://youtu.be/pKbOjo4RuB8 [118] https://youtu.be/zPxEKh_ZHvs 二項関係 combinatorial formula. 解説 explanation [16] https://youtu.be/c0CyPTw4bQ0 演習 practice [15] https://youtu.be/1DIMOJy432o 二元二次不定方程式 解説 explanation [177] https://youtu.be/8-6vK4Yf-Z8 曲率半径 curvature of parametrised curve. [216] https://youtu.be/eETH5EARNsQ [217] https://youtu.be/EL0fivqBXaA [218] https://youtu.be/wiuS1XjXoXs [293] https://youtu.be/DVU5iFwbONU 合同多項式 congruence notation for polynomials [97] https://youtu.be/Gy7EcuHIF0Y [174] https://youtu.be/ULjVcyDGsaM [185] https://youtu.be/W-hKTNuOzvU [211] https://youtu.be/JZwlmaq6Cqg [224] https://youtu.be/rxTK2J-eCP8 [290] https://youtu.be/-w-uX8x-KWg [297] https://youtu.be/GXP_D-eQMqk 重複組合せ repetitive combinatorics [8] https://youtu.be/2jBTTxyfMSg [86] https://youtu.be/Dz3NEYfxcd0 [87] https://youtu.be/4tRblv3dhvI 恒等式 [159] 多項式と恒等式の本質 https://youtu.be/aUvwAFodSs4 [271] 部分分数分解の技術 https://youtu.be/vHTnhOy3fQI 格子点と面積 [348]https://youtu.be/m7y44_eEcp0 [350]https://youtu.be/I2fe_ns662A [378] https://youtu.be/Q710-tjTFEQ [389] https://youtu.be/hoYQnSuluiQ 点と直線・平面の距離、法線表示 [204] https://youtu.be/mmb7AJL9y1k [205] https://youtu.be/qd2XKN_ywtU 人気の動画 望月新一先生、abc予想、宇宙際タイヒミュラー理論 第一部(人柄など):https://youtu.be/peFbj6zfYWk 第二部(内容概説):https://youtu.be/Vt6S4o5sjSA -------------------------------------------------------------------------------- Thanks a ton for visiting here and reading this. Please subscribe this channel and give this video a like if you like it. I usually make videos about mathematics, but any kinds of topics which I find interesting and attractive. All I want to do is just discuss and talk about them, and communicate with people who are into maths, after all. I am afraid to say that I basically speak in Japanese in my videos; however, I am going to try and write things down in the way everyone can comprehend what they are, not without mathematics literacy at least :-). I would appreciate if you gave me any kind of advice ranging from the topics you would like me to bring about to the volume, my handwriting, and the lighting in my videos. Please do not hesitate to leave any comments for this channel growth, and help me to enrich this channel.
Contents: Thanks for watching. Please also go to my twitter and instagram linked below. Twitter link: MT 数学・maths channel@maths_mt Insta link: https://www.instagram.com/mt_mathschannel/ チャンネル運営と動画制作を支援していただけると幸いです! 欲しいものリスト:https://www.amazon.co.jp/hz/wishlist/ls/2UVYOZW56CP47?&sort=price-asc -------------------------------------------------------------------------------- [[リンク集 links]] オイラーの公式 Euler’s formula [27] https://youtu.be/9VC1v1Vwojg [323] https://youtu.be/5VBxhA8ROzc フェルマーの小定理プレイリスト Playlist of Fermat’s little theorem. https://www.youtube.com/playlist?list=PLlA6jgaa1nvgFSD5X50Gb6oYhcQQ-Nhph 漸化式の構造プレイリスト Playlist of recursive formula. https://www.youtube.com/playlist?list=PLlA6jgaa1nvgZkHCWbf-vkBDiOxfctZAa 和分差分について Discrete differentiation and summation. 解説 Theoretical explanation. [221] https://youtu.be/zLg5T2iVaeQ [222] https://youtu.be/QGnvFSfaJLU 冪乗和の公式 Power sum. [130] https://youtu.be/nNgPsVTt8e0 [131] https://youtu.be/9Ge7IkL2aTk 参考 [369] https://youtu.be/WK8V3PE6VVs 難しくなる構造(複雑に見える漸化式) looks-difficult recursive relation. [243] https://youtu.be/sQeNmI9Xucc [244] https://youtu.be/tmB3jWSQ6Ts [245] https://youtu.be/6yncOC0Bskg [246] https://youtu.be/P-h-BdKllqE [251] https://youtu.be/glpXNAhncuA [268] https://youtu.be/Lu6rTjRnvD8 [269] https://youtu.be/2I9lzATi0Sk カタラン数 Catalan number 解説 explanation. [54] https://youtu.be/rfQ4O2hfba0 演習 practice. [53] https://youtu.be/GQ53HD6UDsQ 定義漸化式を解く[276] https://youtu.be/hnGWEm28LhQ 極線・円束・直線束・曲線族 Polar line, Pencil of circle, Family of curve [280] https://youtu.be/FQJYtDU7KkA [282] https://youtu.be/FTkp59t2HwQ [283] https://youtu.be/vESCJ5Kdd54 [285] https://youtu.be/k7bjOd7FG7o 一次分数関数と円円対応 [214] https://youtu.be/y7s8rzE2iUs 母関数 漸化式を解く[274]https://youtu.be/Z41JGtNIRPg カタラン数 [276] https://youtu.be/hnGWEm28LhQ フィボナッチ数列とパスカルの三角形 [277] https://youtu.be/VYNr9sQMQQE 外積ベクトル cross product 解説 explanation [76] https://youtu.be/IrfE3r5Nzok [78] https://youtu.be/bopooyIvxJE 演習 practice [77] https://youtu.be/GKIUBtm6Kq4 [84] https://youtu.be/sWUg145IxGQ [102] https://youtu.be/-5FkBTYJXBw [267] https://youtu.be/Vcwm-K9s9gQ ベクトルの斜交座標 general coordinates system and vectors. [3] https://youtu.be/385ffT7WLo8 [75] https://youtu.be/lHbGi7hbmk0 重心座標とベクトル gravity-point coordinates system and vectors. [72] https://youtu.be/FTp3QcNuylc [73] https://youtu.be/AwiMgtX3hLY [74] https://youtu.be/WX3IoetYZqY [194] https://youtu.be/RTRlPz3rS08 [198] https://youtu.be/ri8v41VXCfw テイラー展開 Taylor expansion. 解説 explanation [231] https://youtu.be/7xqX-6FhQjg [232] https://youtu.be/QRBpYuN_gEw [233] https://youtu.be/dC-vI6yOjTQ 演習 practice [234] https://youtu.be/EIRCItnCPWo [235] https://youtu.be/X5i5pX7Dwnc 無限級数と微積分 infinite series and Taylor expansion. [117] https://youtu.be/pKbOjo4RuB8 [118] https://youtu.be/zPxEKh_ZHvs 二項関係 combinatorial formula. 解説 explanation [16] https://youtu.be/c0CyPTw4bQ0 演習 practice [15] https://youtu.be/1DIMOJy432o 二元二次不定方程式 解説 explanation [177] https://youtu.be/8-6vK4Yf-Z8 曲率半径 curvature of parametrised curve. [216] https://youtu.be/eETH5EARNsQ [217] https://youtu.be/EL0fivqBXaA [218] https://youtu.be/wiuS1XjXoXs [293] https://youtu.be/DVU5iFwbONU 合同多項式 congruence notation for polynomials [97] https://youtu.be/Gy7EcuHIF0Y [174] https://youtu.be/ULjVcyDGsaM [185] https://youtu.be/W-hKTNuOzvU [211] https://youtu.be/JZwlmaq6Cqg [224] https://youtu.be/rxTK2J-eCP8 [290] https://youtu.be/-w-uX8x-KWg [297] https://youtu.be/GXP_D-eQMqk 重複組合せ repetitive combinatorics [8] https://youtu.be/2jBTTxyfMSg [86] https://youtu.be/Dz3NEYfxcd0 [87] https://youtu.be/4tRblv3dhvI 恒等式 [159] 多項式と恒等式の本質 https://youtu.be/aUvwAFodSs4 [271] 部分分数分解の技術 https://youtu.be/vHTnhOy3fQI 格子点と面積 [348]https://youtu.be/m7y44_eEcp0 [350]https://youtu.be/I2fe_ns662A [378] https://youtu.be/Q710-tjTFEQ [389] https://youtu.be/hoYQnSuluiQ 点と直線・平面の距離、法線表示 [204] https://youtu.be/mmb7AJL9y1k [205] https://youtu.be/qd2XKN_ywtU 人気の動画 望月新一先生、abc予想、宇宙際タイヒミュラー理論 第一部(人柄など):https://youtu.be/peFbj6zfYWk 第二部(内容概説):https://youtu.be/Vt6S4o5sjSA -------------------------------------------------------------------------------- Thanks a ton for visiting here and reading this. Please subscribe this channel and give this video a like if you like it. I usually make videos about mathematics, but any kinds of topics which I find interesting and attractive. All I want to do is just discuss and talk about them, and communicate with people who are into maths, after all. I am afraid to say that I basically speak in Japanese in my videos; however, I am going to try and write things down in the way everyone can comprehend what they are, not without mathematics literacy at least :-). I would appreciate if you gave me any kind of advice ranging from the topics you would like me to bring about to the volume, my handwriting, and the lighting in my videos. Please do not hesitate to leave any comments for this channel growth, and help me to enrich this channel.