[過去ﾛｸﾞ] 現代数学の系譜11 ガロア理論を読む14 [転載禁止]©2ch.net (562ﾚｽ)
上下前次1-新
抽出解除 ﾚｽ栞

---

このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索 歴削→次ｽﾚ 栞削→次ｽﾚ 過去ﾛｸﾞﾒﾆｭｰ

---

ﾘﾛｰﾄﾞ規制です｡10分ほどで解除するので､他のﾌﾞﾗｳｻﾞへ避難してください｡

---

155(1): 現代数学の系譜11 ガロア理論を読む 2015/07/12(日)13:59 ID:si4MyG9v(17/21) AAS
>>153 つづき
Musical isomorphism
外部ﾘﾝｸ:en.wikipedia.org
In mathematics, the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle
TM and the cotangent bundle T?M of a Riemannian manifold given by its metric. There are similar isomorphisms on symplectic manifolds. The term musical refers to the use of the symbols ♭ and ♯.[1]

It is also known as raising and lowering indices.

Contents
省10

---

157: 現代数学の系譜11 ガロア理論を読む 2015/07/12(日)14:10 ID:si4MyG9v(19/21) AAS
>>155 つづき
Duality (mathematics)
外部ﾘﾝｸ:en.wikipedia.org
In mathematics, a duality, generally speaking, translates concepts,
theorems or mathematical structures into other concepts,
theorems or structures, in a one-to-one fashion,
often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A.
省19

---

上下前次1-新書関写板覧索設栞歴

---

ｽﾚ情報 赤ﾚｽ抽出 画像ﾚｽ抽出 歴の未読ｽﾚ AAｻﾑﾈｲﾙ

---

ぬこの手 ぬこTOP 0.026s