下線部はどのように訳せばいいのでしょうか？ ↓ニュースの原文です https://www.japantimes.co.jp/news/2023/01/02/national/liaoning-carrier-okinawa-jets-scrambled/

0:20 8月6日 (日) Japan scrambled jets to monitor Chi... the japan times Japan monitored the operations after the Chinese naval group, which included missile destroyers, sailed between the main Okinawa island and Miyakojima island into the Western Pacific from the East China Sea on Dec. 16, Japan's Defense Ministry said in a press release. Before returning the same way Sunday, the Chinese carrier conducted more than 300 take-offs and landings of fixed-wing aircraft and helicopters, the ministry added, although it did not report any incursions into Japanese territorial waters or skies. While China has conducted similar operations in the past, including in May, the latest large-scale military drills close to Japanese islands come after Japan 45%

見にくいですが、1.の答え合わせと、2の回答を教えて下さい。

1 Complete the sentences with a, an, the or no article (-). 1 Is there a hotel? my bus to the airport from 2 Our centre is equipped with the latest facilities. 3 How long have you been learning to speak ____ Chinese? 4 Could I have a cup of tea, please? 5 Sorry, but he isn't at _____ work today. 6 A main exhibition centre is over there. 7 He's a person I mentioned during dinner. You should meet him. 8 Is this an information you wanted? 9 What time's my flight to the USA? 10 I normally travel by a bicycle. 11 I love the vegetarian food. 12 The greatest innovation of twentieth century was the Internet. 13 Are we meeting again on the Thursday? 14 Hi. My name's Elaine Keevey and I'm an accountant. 2 Read eight rules and guidelines for staff working at a conference centre. Add the correct article(s). the 1 All staff must be polite and helpful to trade fair delegates. 2 Remember to wear ID badge at all times. the 3 Check visitors' names on registration list when they enter main venue. 4 If you see visitor who looks lost, immediately offer to help. 5 Staff not wearing uniform will be sent home. 6 Exhibition centre is always closed to visitors on Mondays. 7 For information, direct visitors to Central Registration Desk. 8 If you travel by car, please park in Staff Car Park.

（2）と（5）の単語が何が入るかわからないです。 うまく訳ができません。

次の英文の 2911 (a) significant MAS (f) outlook )に当てはまる単語を (a) から (j) から選び、その単語の記号を入れましょう。 消極的 不完全 強調される (d) imperfect (c) negative Ak (h) attitude (e) emphasized # # ₂ 7 3/4 (i) remarkably 認する (b) refer 217 (56 (g) connected Blony sil (1) Communicative ability is (e) in 征服する (i) conquer 0 in second lar second language teaching theory. (2) She had to ( ) her bad habit of smoking heavily when she drank. (3) China has a long history (with Confucianism and Taoism. (4) The results of the experiment are not statistically ( A ). (5) I think it is not an ( ) that adults should have. (6) I am happy to know that this medicine is (effective. (7) What noun does this "it" () to? ---Actually, I don't know. (8) The () on nature differs from religion to religion. 根本的に (9) Language is fundamentally (2) in the Zen way of thinking. (10) In the Shinto way of thinking, we have to avoid using (C) words.

多様体の接空間に関する基底定理の証明です。g(q)=∫〜と定義した関数を微積分学の基本定理を用いながら変形してg(q)=g(0)+∑gᵢuⁱと導出するのですが、これがうまくいきません。 自分は、g(q)の式をまず両辺tで微分して、次に両辺uⁱで積分して、最後に両辺tで積分... 続きを読む

12. Theorem.If{ = (x', , x") is a coordinate system in M at p, then its coordinate vectors d, lp, …… 0,l, forma basis for the tangent space T,(M); and D= E(x) 。 i=1 for all ve T(M). Proof. By the preceding remarks we can work solely on the coordinate neighborhood of G. Since u(c) = Othere is no loss of generality in assuming ど(p) = 0eR". Shrinking W if necessary gives E(W) = {qe R":|q| < } for some 8. Ifg is a smooth function on E(W) then for each 1 <isndefine og (tq) dt du g(9) = for all qe {(W). It follows using the fundamental theorem of calculus that g= g(0) + E&,u' on (W). Thus if fe &(M), setting g = f。' yields f= f(P) + Ex on U. Applying d/ax' gives f(p) = (f /0x)(P). Thus applying the tangent vector e to the formula gives (f) = 0+ E(x'(p) + E Ap)u(x) = E(Px). ず ax Since this holds for all f e &(M), the tangent vectors v and Z Ux') d,l, are equal. It remains to show that the coordinate vectors are linearly independent. But if ) a, o.l, = 0, then application to x' yields dxi 0=24 (P) = 2q d」= 4. In particular the (vector space) dimension of T,(M) is the same as the dimension of M.

(5)以外を教えていただきたいです。 名詞構文・無生物主語の単元です。 よろしくお願いします。

1 1[]から適当な語を選び, 必要ならば形を変えて( )に入れなさい。各1回のみ使用可。 A )of the theory of evolution started a new era in history. resign ) surprised all the people in Japan. accepT ) of the project.complete (1) The ( (2) The prime minister's ( (3) There was a big party after the ( (4) I made a (soeak) in Chinese for the first time, and the audience understood me. (5) Agatha Christie is a famous mystery (writer). (6) My mother always takesa (walk) in order to lose weight. [ resign / speak / write / accept / walik / complete ]

高校3年生です。分からないので教えてください。！

文法·語量 会話 作文 ● 5 下線部の発音が他の3つと異なるものを選べ。Cirack 03 1. ア. wanted 2. ア.wool 3. ア.farm 1 日本語の意味に合うように( )に適語を入れよ。 イ. stopped ウ、marked エ, washed 詞1.私はその店に走って行ったが,結局閉まっていることが分かっただけだった。 I ran to the store, ( 2.その人は親切にも道を教えてくれた。 The person was kind ( 3.その先生が親切にも私を助けてくれた。 イ. foot ウ, through エ. pull ) find it closed. イ. star ウ) warm エ. garden 4. ア. act イ.salad ウ、 habit , calm エ. southern ) to tell me the way. 5.ア. loud イ. honey ウ. country The teacher was so kind ( to ) help me. 6 次の会話が成立するように( )に適語を入れよ。 ただし,( )内に文字がある場合は 4.私は一言も開き漏らさないように注意深く耳を傾けた。 I listened carefully so ( 5.彼は成長して偉大な科学者になった。 その文字から始まる語を答えること。 Track 04,05, 06,07,08 ) not to miss a single word. 1. A:I'm going to New York next week. He grew up( )a great scientist. B:Iwant( ) call me when you get there. 2. A:Anne, I'd like to (i B:Nice to meet you, Ken. I'm Anne. 3. A:Iwant to learn Chinese. Isn't there anyone who can teach me? ) to my son, Ken. 2」 各組の文がほぼ同じ意味になるように( )に適語を入れよ。 S Do you mind if I open the window? ) Yoko's brother? He speaks Chinese B:(H 1. Do you mind ( *My mother insisted that I should see a doctor. 2. My mother insisted on ( I )(opehing ) the window? very well. )a doctor. 4. A:Do you know that woman? A:The tall one with long hair. 3 各組の文がほぼ同じ意味になるように( )に適語を入れよ。 She spent the whole day just watching television. 1. She did nothing ( 5.A:What country are you from? B:India. A:What's the climate (1 B:It's often very hot in the summer. ) watch television all day. ) in India? Why don't we go to the bookstore? 2. How about( ) to the bookstore? When I hear the song, I always think of my youth. 3. The song always ( 」次の文を英語に直せ。 1.君はそんなに速く歩く必要はない。 (0.5参照) )me of my youth. This bicycle does not belong to me. 4. This bicycle is not ( 2. あなたは将来何になりたいのですか。 (2.7参照) )内の語(旬)を並べかえよ。 4 日本語の文に合うように( 1.先生が私たちにその町の地図を見せてくれた。 (teacher / us / a / our / town / map / of / the / showed). 3. 心配するな。ぐっすり眠ったら気分も良くなるよ。 (ll.7~8参照) 2. エネルギーを浪費するのはいけないと思う。 I(waste / it/ to / energy / think / wrong). 7

下から2行目のitはなんですが？

I'm always surprised to learn of a company that doesn't edueate its て employees(in the fundamental financial realities of its industry, Employees need to understand the success or failre levels of their industry) so that they know what it is ábout their own job that really couns, ) Qf course, employees have to be willing_students who direct attention to the areas where it makes v the biggest difference) C

下から2行目のitはなんですか?

I'm always surprised to learn ef a company that doesn't educate its employees (in the fundamental financial realities (of its industry, Employees need to understand the success or failure levels (of their industry so that they know/what it is ébout their own job that really couns O course, employees Sv have to be willing_students who direct attention to the areas where it makes v the biggest difference) C

5行目のitはなんですか?

I'm always surprised to learn_ef a company that doesn't_edueate its v employees(in the fundamental financial realities of its industryEmployees need to understand the success or failure levels (of their industry) so that they know/what it is ábout their own job that really counts, Of coursé, employees Sv have to be willing_students who direct attention to the areas where it makes v the biggest difference) C and desirable

流体力学の最初の最初、ラグランジュ微分のところでつまづいて困っております。 二枚目の？をつけた計算過程はどのような微分なのでしょうか？ よろしくお願いします。

の1 流れの運動学 8 1 = (u.V)u U のようにして得られた. 記号▽はナブラ (nabla) とよみ 0 鶏分(1.14) 0 マ= e』 + ey Oy 0z のように定義される演算子 (operator) であるす. ea, ey. Ez はそれぞれ』軸, 軸,2軸の正の向きに向かう単位ベクトル (unit vector) で, これらを基本ベク トル (fundamental unit vector)という。 式(1.12) の両辺を At でわって, At →0 の極限をとると,流体粒子の受け る加速度a(z,t) を求めることができ に Au a(x, t) = lim + (u-V) u(z, t) At→0 At Ot D -u(x,t) Dt となる.ただし D +u.V Ot Dt で,D/Dt をラグランジュ微分 (Lagrangian derivative),あるいは実質微 分(substantial derivative), あるいは物質微分 (material derivative) という。 Du/Dt= Ou/0t+ (u.V)uの右辺第1項は, 流体中のある点aをつぎつぎと 通過する流体粒子の速度の時間的変化の割合を表しており,局所加速度 (local acceleration) とよばれている. また第2項は,点cにある流体粒子がある瞬間 にその前後の流体粒子の速度差のために受ける速度の時間的変化割合で対流加 速度 (convective acceleration) とよばれている。 ラグランジュ微分 D/Dtは, オイラーの方法の意味で »とtの関数として表 された量,すなわち 「場の量」に対してのみ作用させることができる. なぜな ら,その定義式(1.16) の右辺は, 独立変数を αとtとするときの偏微分0/0tと ▽によって構成されているからである. aとtの任意関数 f(z,t) のラグラン ジュ微分は,式(1.15) を導いた過程から理解できるように, 流れに伴う f(x.t) の時間的変化の割合,すなわち, 流体粒子の軌跡に沿っての f(z,t) の時間的変 化の割合を表す。 十演算子▽をスカラー関数f(a)に作用させて得られるVfは, f の勾配 (gradient) とよばれ る。▽をスカラー関数に作用させたときは▽の代わりに grad という記号を使ってもよい。す なわち, ▽f=gradf. 後に述べるように, ▽をベクトルとみなしてベクトル関数に作用させ る(内積をとる)ときは, 記号 gradは使わない、ただし、式(1.13) の▽は grad を使って書 くことができる。