Grade

Type of questions

English Junior High

1️⃣の(1)〜(7)の答え合わせをしたいのですが 答え教えて欲しいです。

にあてはまる語を書きなさい。 □(1) 父は毎日たくさん書類を読みます。 My father reads papers every day. (2) ウエダ先生は授業を始める前に、私をみんなに紹介しました。 文法 Before Mr. Ueda began the class, he 1 次の英文を ( 内の指示にしたがって書きかえなさい。 me everyone. (1) Let's buy some ice cream. (下線部について has a lot of fruit in it という説明を加えた文に) (2) He showed me a picture. (下線部について looked very old という説明を加えた文に) □(3) Did you see the car? (下線部について passed *in front of that building just now という説明を加えた文に) □ (4) This is a bottle. The bottle has a red cap. (関係代名詞を使って1文に ) *in front of...:…の前に 口(5) The boy has some books. The books have a lot of pictures in them. (関係代名詞を使って1文に □(3) 父は母が My father wants to g 4) 生徒たちは地球を救うよ 2 The students want t )内の語 (句) を使っ □1) これがコンピューターG 2)その老人はすばらしい音 次の質問に関係代名詞を □ What kind of robot d □ (6) My brother bought a car. The car has only two doors. (関係代名詞を使って1文に □(7) I need a bag. The bag can hold all of my textbooks. (関係代名詞を使って1文に) 重要次の日本文になる女になるときに リーディング 次の英文を ジンが夏休みの思い出に This summer I we Japanese popular musicians. The

Solved Answers: 1
Mathematics Undergraduate

多様体を構成するために、位相空間に完全アトラスを導入するところで質問です。 完全アトラスを導入するメリットとして、この文章の下線部を「異なる座標系を用いたのに同じ計算ができてしまうという問題が解消される」解釈したのですが、そこがよくわかりません。座標系を変えて計算する... Read More

1 Two n-dimensional coordinate systems & and ŋ in S overlap smoothly provided the functions on¯¹ and ŋo §¯¹ are both smooth. Explicitly, if : U → R" and ŋ: R", then ŋ 1 is defined on the open set ε (ur) → ° (UV) V and carries it to n(u)—while its inverse function § 4-1 runs in the opposite direction (see Figure 1). These functions are then required to be smooth in the usual Euclidean sense defined above. This condition is con- sidered to hold trivially if u and do not meet. Č (UV) R" Ĕ(U) n(UV) R" S n(v) Figure 1. 1. Definition. An atlas A of dimension n on a space S is a collection of n-dimensional coordinate systems in S such that (A1) each point of S is contained in the domain of some coordinate system in, and (A2) any two coordinate systems in ✅ overlap smoothly. An atlas on S makes it possible to do calculus consistently on all of S. But different atlases may produce the same calculus, a technical difficulty eliminated as follows. Call an atlas Con S complete if C contains each co- ordinate system in S that overlaps smoothly with every coordinate system in C. 2. Lemma. Each atlas ✅ on S is contained in a unique complete atlas. Proof. If has dimension n, let A' be the set of all n-dimensional coordinate systems in S that overlap smoothly with every one contained in A. (a) A' is an atlas (of the same dimension as ✅).

Waiting Answers: 0