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PARE 代仮名遣いでもよい。) 四 2「上以其不情而 従って、解答欄の文に返り点を 非悪之」は「上其の不情にして非を遂ぐるを以て之を悪む」と読む。この読み方に 送り仮名は不要。)

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 ✅).

教えてほしいです

13 次の日本文にあう英文になるように, □(1) 眠気を感じて, 私は草の上に横になった。 に適する語を書きなさい。 □(2) ロンドンで生まれたので、彼女は英語を流暢に話す。 sleepy, I laid myself on the grass. in London, she speaks English fluently. □(3) 彼女は泳げないので、海が好きではない。 to swim, she doesn't like the sea. ike the sea □ (4) 昨年に比べて,今年は冬の訪れが早い。 Winter has come early I love with last year. □(5) 率直に言えば、私は彼の歌はあまり好きではない。 Frankly door food. other food, I don't like his songs very much. it was totally con 4 次の文中の下線部を ( 内の指示にしたがって書きかえなさい。 □(1) As I have never read the book, I can't criticize it. (分詞構文に) Oine plane □ (2) Properly trained, dogs can do some tricks. (副詞節に) thers, I can't criticize it. dogs can do some tricks. □ (3) Since their conversation was in Chinese, I didn't understand a word. (分詞構文に) を用いて) □ (4) Lost in thought, he didn't notice us. (副詞節に) I didn't understand a word. □ (5) She knelt on the floor, and she closed her eyes. (with を用いて) She knelt on the floor, □ (6) Printed in haste, the book had many misprints. (副詞節に) he didn't notice us. the book had many misprints.

教えてほしいです

① 次の各組の英文がほぼ同じ内容を表すように,に適する語を書きなさい。 (1) Looking at his alarm clock, he turned pale. he at his alarm clock, he turned pale. (2) As I hadn't heard from him, I decided to visit him. (3) If other things are equal, I will take this job. Other things ding heard from him, I decided to visit him. I will take this job. arrived at Naha around noon. reading, he listened to music. (4) Our plane left Haneda at ten, arriving at Naha around noon. Our plane left Haneda at ten, (5) Since he was tired of reading, he listened to music. ever h (6) My father sat on the sofa, and his legs were crossed. My father sat on the sofa, his legs (7) After the sun had set, the boys started for home. The sun the boys started for home. (8) If we speak generally, Japan has a mild climate. Japan has a mild climate. (9) Her mother having left her room, she began to cry bitterly. her mother (10) Unable to swim well, he doesn't like the sea very much. he left her room, she began to cry bitterly. swim well, he doesn't like the sea very much. (11) Turning to the left, you'll find a tall building on your right. you do/nothing) to the left, you'll find a tall building on your right.

訳について質問なのですが、 「by 場所」を「〈場所〉から」と訳せるとどれだけbyについて調べても書いていなかったのですが、こう訳すのは自然なことなのでしょうか？？

1. Less than 40 percent of all physicians in Wichita are employed as full-time staff by the hospitals where ------- practice. (A) they (B) their (C) them (D) themselves bisq sd bloode JS Virom sted 88W) or (8) CEO of Ad S NE

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臨海セミナー小中学部◇ 中3英語科 カリキュラムテスト(夏期⑩10) [仮定法②] 氏名:夏 国 次の (1) IfI( )に入る最も適当なものをそれぞれ選びなさい。 ) a sister, I would cook dinner with her. アhave had ウ could have I have had ) (D) ng bari (2) If you need a pen, you ( ) mine. i ) oynaqa bean (S) ア used are using ウ can use could use muramogaien ofdonatoeする 2 次の日本文に合う英文になるように、( )内に適語を書きなさい。本日 (1)新しいコンピュータを持っていればなあ。 I( )I( ) a new computer. (2) たくさんの宿題がなければ、あなたとサッカーをすることができるのに。 If I (199008 ( ) ( )) a lot of homework, I (pls ( ) ( ) () soccer with y 次の日本文に合う英文になるように、( )内の語 (句)を並べ替えなさい。文本日 (1) 今日テストがなければなあ。 日 ( there / today / I / no / wish / tests / were).wata91 \\ysbod Veisli) あなたがたくさんお金を持っているなら、あなたは何をしたいでしょうか。 (what/you/you/to/had/money/do/like/much/if / would/)?\so\) 本日

2番の赤線を引いたAHの長さはどこでわかるんですか？

000 0.264 基本事項 e S XOXsine 1 FINA 基本例 163 図形の分割と面積 (1) 次のような四角形ABCD の面積Sを求めよ。 平行四辺形ABCD で, 対角線の交点を0とすると AC=10, BD=6√2, ∠AOD = 135° 00000 AD/BCの台形ABCD で, AB = 5, BC = 8, BD = 7, ∠A=120° 指針 解答 /P.265 基本事項 基本 162 四角形の面積を求める問題は, 対角線で2つの三角形に分割して考える。 (1) 平行四辺形は, 対角線で合同な2つの三角形に分割されるから S=2△ABD また, BO=DO から AABD=2A0AD よって、 まず △OAD の面積を求める。 (2) 台形の面積)=(上底+下底)×(高さ)÷2 が使えるように,上底 AD の長さと高 さを求める。 まず, △ABD (2辺と1角が既知) において余弦定理を適用。 CHART 四角形の問題 対角線で2つの三角形に分割 (1) 平行四辺形の対角線は,互いに他を2等分するから =1/2AC=5, OA= OD=BD=3√2 AOAD = 2 JA A EL D 135° 0 √2 15 267 | (*) △OAB と △OAD は, それぞれの底辺を OB, OD とみると, OB=OD で, 高さが同じであるから,そ の面積も等しい。 C 参考 下の図の平行四辺形 の面積Sは -AC・BD sin 0 S=1/2A1 B 1/13 OA・OD sin 135 1/12・5・3/21/12=12 5.3√2. (*) S=2AABD=2.2A0AD =4• -=30 (2)△ABD において,余弦定理によりA 2 A ADS- 練習 163 (2) 参照] D 4 4章 1 三角形の面積、空間図形への応用 ゆえに を求めても よって 内角であ A <180° nA<l D 72=52+AD2-2・5・AD cos 120° 5 ゆえに AD2+5AD-24=0 120° 7 よって (AD-3)(AD+8)=0+4 B C BH C AD> 0 であるから AD=3 8 -, a,b,c ど, 薫が比較 頂点Aから辺BC に垂線 AH を引くと AH=ABsin∠ABH, ∠ABH=180°-∠BAD=60° <AD / BC 利用する Jih 1200 よって S=(AD+BC)AH 18 (上底+下底)×(高さ) ÷ 2 =(3+8)-5 sin 60°= 55√3 CA 18 162 練習 次のような四角形ABCD の面積Sを求めよ (O は ACとBDの交点)。 ② 163 (1) 平行四辺形ABCD で, AB=5, BC=6, AC=7 (2)平行四辺形ABCD で, AC=p, BD=g, ∠AOB=0円 (3)AD // BCの台形ABCD で, BC = 9,CD=8, CA=4√7, ∠D=120° Sare

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2. 家を持たずにインターネットカフェで寝泊まりする人たちがいます。 There are people and obse Jeunem ahezu

If you are Japanese, you won't have suffered like this. もしあなたが日本人なら、こんな風に困ったりしないだろう。　この英文の文法がわかりません。if節が条件を表しているからareなんだなって言うのはわかるんですが、主節... Read More

答えと出来れば解説を教えて欲しいです🙇‍♀️

えなさい。 as nearly much as 1. I can't stand it anymore! Tom is always lazy at work, but he earns ( ア 2 次の各文の( )内にあてはまる語(旬)をア~エの中からそれぞれ1つずつ選び、記号で答 ) I do. イ more nearly than エ nearly as much as nearly more than 2. Since this wine glass can break easily, please handle it with ( ア trouble 1 danger B care ). I ease 3. Smoked salmon is delicious ( ) salad. イ when eating with I with when eating 7 when eaten with ウ with when eaten 4. It's been ( ア much ) a long time since I started to practice playing the guitar. 1 pretty ウquite I SO 5. "It's very cold today." ア I don't think it "Yes, but ( _) so cold tomorrow." ウ I think it will be not エ I think not I don't think it will be 6. A: "Kate won't be able to come to the party tonight? Why not?" ) care of him." B: "Well, she says her son has caught a cold and she ( ア should have taken イ must have taken ウ will be taking 7. Not ( I will have been taking ) which course to take, I decided to ask my teacher for advice. 7 being known イ to know ウknown I knowing 3年英語 -1-