From c644d4ad1abf2e0af8b487c365d31827ba1eaf9a Mon Sep 17 00:00:00 2001 From: minjaesong Date: Mon, 25 Mar 2024 16:03:08 +0900 Subject: [PATCH] test materials --- testing.PNG | Bin 116238 -> 188400 bytes testtext.txt | 12 ++++++------ 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/testing.PNG b/testing.PNG index cc6d5e84a98a8497ba04a0641eb8a0bf97990045..f5e37f44f45795eb1c1744235a54839f314ed66c 100755 GIT binary patch literal 188400 zcmdSBd03L^{|0K)WYd&2Eoy37qhpq)ewEZ*(3(=4EXiCEl}SZQFhcQdze zfl131BtbM6pv`?DQ$Spx+%Q2=5OMd={C?+L=ihU_|D5yw_3&KqdG70d-{<)(_x&N| zrn95ckLo`vC@3iXcJ<0F1%=(G6ci5p=LbdkjM2h}>OPHg>k4azpY< zV>J!>cjArtos0ht ze%CmE>fgaDrT;+WWgJ3d@xd%%T>9i0%5V zArk+*MsTrTFi(Y1*f@%NyU*+`ghzXwP$62Y_@eQD-I?TU=P4NlnE-fj*!rly

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dictum at tempor commodo. Maecenas accumsan lacus vel faci 산중의 내 집 문 앞에는 큰 시내가 있어 매양 여름철이 되어 큰 비가 한번 지나가면, 시냇물이 갑자기 불어서 항상 차기와 포고의 소리를 듣게 되어 드디어 귀에 젖어 버렸다. 내가 일찍이 문을 닫고 누워서 소리 종류를 비교해 보니, 깊은 소나무가 퉁소 소리를 내는 것은 듣는 이가 청아한 탓이요, 산이 찢어지고 언덕이 무너지는 듯한 것은 듣는 이가 분노한 탓이요, 뭇 개구리가 다투어 우는 것은 듣는 이가 교만한 탓이요, 천둥과 우레가 급한 것은 듣는 이가 놀란 탓이요, 찻물이 끓는 듯이 문무가 겸한 것은 듣는 이가 취미로운 탓이요, 거문고가 궁우에 맞는 것은 듣는 이가 슬픈 탓이요, 종이창에 바람이 우는 것은 듣는 이가 의심나는 탓이니, 모두 바르게 듣지 못하고 특히 흉중에 먹은 뜻을 가지고 귀에 들리는 대로 소리를 만든 것이다. -지금 나는 밤중에 한 강을 아홉 번 건넜다. 강은 새외로부터 나와서 장성을 뚫고 유하와 조하 · 황화 · 진천 등의 모든 물과 합쳐 밀운성 밑을 거쳐 백하가 되었다. 나는 어제 배로 백하를 건넜는데, 이것은 하류였다. 내가 막 요동 땅에 들어왔을 때는 바야흐로 한여름이라, 뜨거운 볕 밑을 가노 라니 홀연 큰 강이 앞에 당하였다. 또한 물결이 산같이 일어나 끝을 볼 수 없으니, 이것은 대개 천리 밖에서 폭우가 온 것이다. 물을 건널 때는 사람들이 모두 머리를 우러러 하늘을 보는데, 나는 생각하기에 사람들이 머리를 들고 쳐다보는 것은 하늘에 묵도하는 것인 줄 알았더니, 나중에 알고 보니 물을 건너는 사람들이 물이 돌아 탕탕히 흐르는 것을 보면 자기 몸은 물이 거슬러 올라가는 것 같고 눈은 강물과 함께 따라 내려가는 것 같아서 갑자기 현기가 나면서 물에 빠지는 것이기 때문에, 그들이 머리를 들어 우러러보는 것은 하늘에 비는 것이 아니라 물을 피하여 보지 않으려 함이었다. 또한 어느 겨를에 잠깐 동안의 목숨을 위하여 기도할 수 있겠는가. +지금 나는 밤중에 한 강을 아홉 번 건넜다. 강은 새외로부터 나와서 장성을 뚫고 유하와 조하 · 황화 · 진천 등의 모든 물과 합쳐 밀운성 밑을 거쳐 백하가 되었다. 나는 어제 배로 백하를 건넜는데, 이것은 하류였다. 내가 막 요동 땅에 들어왔을 때는 바야흐로 한여름이라, 뜨거운 볕 밑을 가노라니 홀연 큰 강이 앞에 당하였다. 또한 물결이 산같이 일어나 끝을 볼 수 없으니, 이것은 대개 천리 밖에서 폭우가 온 것이다. 물을 건널 때는 사람들이 모두 머리를 우러러 하늘을 보는데, 나는 생각하기에 사람들이 머리를 들고 쳐다보는 것은 하늘에 묵도하는 것인 줄 알았더니, 나중에 알고 보니 물을 건너는 사람들이 물이 돌아 탕탕히 흐르는 것을 보면 자기 몸은 물이 거슬러 올라가는 것 같고 눈은 강물과 함께 따라 내려가는 것 같아서 갑자기 현기가 나면서 물에 빠지는 것이기 때문에, 그들이 머리를 들어 우러러보는 것은 하늘에 비는 것이 아니라 물을 피하여 보지 않으려 함이었다. 또한 어느 겨를에 잠깐 동안의 목숨을 위하여 기도할 수 있겠는가. 그 위험함이 이와 같으니, 물 소리를 들어보지 못하고 모두 말하기를, “요동 들은 평평하고 넓기 때문에 물 소리가 크게 울지 않는 것이다.” 하지만 이것은 물을 알지 못하는 것이다. 요하가 울지 않는 것이 아니라 특히 밤에 건너 보지 않은 때문이니, 낮에는 눈으로 물을 볼 수 있으므로 눈이 오로지 위험한 데만 보면서 무서움을 느껴 도리어 눈이 있는 것을 걱정하는 판인데, 어찌 또 들리는 소리가 있겠는가. 지금 나는 밤중에 물을 건너는지라 눈으로 위험한 것을 볼 수 없으니, 위험은 오로지 듣는 데만 있어 바야흐로 귀로 무서움을 느끼니 걱정을 이기지 못하는 것이다. 나는 이제야 도를 알았도다. 마음이 어두운 자는 이목이 누가 되지 않고, 이 목만을 믿는 자는 보고 듣는 것을 더욱 밝혀서 병이 되는 것이다. 이제 내 마부가 발을 말굽을 밟혀서 뒷차에 실리었으므로, 나는 드디어 혼자 고삐를 늦추어 강에 띄우고, 무릎을 구부려 발을 모으고 안장 위에 앉았으니, 한번 떨어지면 강이나 물로 땅을 삼고 물로 옷을 삼으며 물로 몸을 삼고 물로 성정을 삼으니, 이제야 내 마음은 한번 떨어질 것을 판단한 터이므로 내 귓속에 강물 소리가 없어지고, 무릇 아홉 번 건너는데도 걱정이 없어 의자 위에서 좌와하고 기거하는 것 같았다. 옛날 우는 강을 건너는데, 황룡이 배를 등으로 져서 지극히 위험했으나 사생의 판단이 먼저 마음 속에 밝고 보니, 용이거나 지렁이거나, 크거나 작거나 족히 관계될 바 없었다. 소리와 빛은 외물이니 외물이 항상 이목에 누가 되어 사람으로 하여금 똑바로 보고 듣는 것을 잃게 하는 것이 이 같거든, 하물며 인생이 세상을 지나는 데 그 험하고 위태로운 것이 강물보다 심하고, 보고 듣는 것이 문득 병이 되는 것임에랴. -数学において体 K 上定義されたアーベル多様体 A がCM-タイプ(CM-type)であるとは、自己準同型環 End(A) の中で十分に大きな部分可換環を持つことをいう。この用語は虚数乗法 (complex multiplication) 論から来ていて、虚数乗法論は19世紀に楕円曲線の研究のため開発された。20世紀の代数的整数論と代数幾何学の主要な成果のひとつに、アーベル多様体の次元 d > 1 の理論の正しい定式化が発見されたことがある。この問題は、多変数複素函数論を使うことが非常に困難であるため、非常に抽象的である。 +数学において体K上定義されたアーベル多様体AがCM-タイプ(CM-type)であるとは、自己準同型環 End(A)の中で十分に大きな部分可換環を持つことをいう。この用語は虚数乗法 (complex multiplication) 論から来ていて、虚数乗法論は19世紀に楕円曲線の研究のため開発された。20世紀の代数的整数論と代数幾何学の主要な成果のひとつに、アーベル多様体の次元d>1の理論の正しい定式化が発見されたことがある。この問題は、多変数複素函数論を使うことが非常に困難であるため、非常に抽象的である。 -フォーマルな定義は、有理数体 Q と End(A) のテンソル積 +フォーマルな定義は、有理数体QとEnd(A)のテンソル積 End_Q(A) -はZ上、次元2dの可換部分環を含んでいることである。d = 1 のとき、このことは二次体以外にはありえなく、End(A)は虚二次体の整環(英語版)(order)である。d>1に対しては、総実体の虚二次拡大であるCM体の場合が比較すべきに対象である。A が単純アーベル多様体ではないかもしれない(例えば、楕円曲線のカルテシアン積)ことを反映する他の他の場合もある。CM-タイプのアーベル多様体の別の名称は、十分に多くの虚数乗法を持つアーベル多様体である。 +はZ上、次元2dの可換部分環を含んでいることである。d=1のとき、このことは二次体以外にはありえなく、End(A)は虚二次体の整環(英語版)(order)である。d>1に対しては、総実体の虚二次拡大であるCM体の場合が比較すべきに対象である。A が単純アーベル多様体ではないかもしれない(例えば、楕円曲線のカルテシアン積)ことを反映する他の他の場合もある。CM-タイプのアーベル多様体の別の名称は、十分に多くの虚数乗法を持つアーベル多様体である。 -Kが複素数体であれば、任意のCM-タイプの A は、実は、数体である定義体(英語版)(field of definition)を持っている。自己準同型環の可能なタイプは、対合(ロサチの対合(英語版)(Rosati involution))をもつ環として既に分類されていて、CM-タイプのアーベル多様体の分類を導き出す。楕円曲線と同じような方法でCM-タイプの多様体を構成するには、C^dの中の格子 Λ から始め、アーベル多様体のリーマンの関係式を考えに入れる必要がある。 +Kが複素数体であれば、任意のCM-タイプのAは、実は、数体である定義体(英語版)(field of definition)を持っている。自己準同型環の可能なタイプは、対合(ロサチの対合(英語版)(Rosati involution))をもつ環として既に分類されていて、CM-タイプのアーベル多様体の分類を導き出す。楕円曲線と同じような方法でCM-タイプの多様体を構成するには、C^dの中の格子 Λ から始め、アーベル多様体のリーマンの関係式を考えに入れる必要がある。 -CM-タイプ(CM-type)は、単位元における A の正則接空間上の、EndQ(A)の(極大)可換部分環Lの作用を記述したものである。単純な種類のスペクトル理論が適用され、Lが固有ベクトルの基底を通して作用することを示すことができる。言い換えると、LはAの正則ベクトル場の上の対角行列を通した作用を持っている。L 自体が複数の体の積ではなく数体であるという単純な場合には、CM-タイプはLの複素埋め込み(complex embedding)のリストである。複素共役をペアとして、2d個の複素埋め込みがあり、CM-タイプは各々のペアのから一つを選択する。そのようなCM-タイプの全てが実現されることが知られている。 +CM-タイプ(CM-type)は、単位元におけるAの正則接空間上の、EndQ(A)の(極大)可換部分環Lの作用を記述したものである。単純な種類のスペクトル理論が適用され、Lが固有ベクトルの基底を通して作用することを示すことができる。言い換えると、LはAの正則ベクトル場の上の対角行列を通した作用を持っている。L自体が複数の体の積ではなく数体であるという単純な場合には、CM-タイプはLの複素埋め込み(complex embedding)のリストである。複素共役をペアとして、2d個の複素埋め込みがあり、CM-タイプは各々のペアのから一つを選択する。そのようなCM-タイプの全てが実現されることが知られている。 志村五郎と谷山豊の基本的結果は、CM-タイプとヘッケのL-函数のことばで、A のハッセ・ヴェイユのL-函数を計算することができ、これから導出された無限部分を持つ。これらが、楕円曲線の場合のマックス・ドイリング(英語版)(Max Deuring)の結果を一般化する。 \ No newline at end of file