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に意味が通るように並べかえ、そのうち20~39の空欄に入る語(句)の番号のみを答えなさい。 なお、語群では、文頭に来る語も小文字で示してある。 II The Buy Nothing Movement Consumers are buying more clothes and shoes than ever before. Online shopping means it is 21 Social media, magazines and shop windows bombard people daily with things to buy, and British thinking, while major brands oter such cheap clothes that they ean be treated like disposable items -worn two or three times and then thrown away. 20(2))( 23 22 That might not sound like much, ) society and for In Britain, the average [2] ( on new clothes a year, which is around four per cent of their income. but that figüre [3] ( 24 the environment. First, a lot of that Consumer spending is via credit cards. British [4] ( 263) the average wardrobe budget. Also, not only are people spending money they don't have, they are using it to buy things they don't need. Britain throws away 300,000 tons of clothing a year, ) to credit card companies. That's 66 per cent of 27 29 landfill sites. 28 [1](20,21) customers ② buy without 3) for 4 to 5) easy [2](22,23) 0 spends more 3) person than ⑤ £1,000 [3](24,25) 1 trends for 2 worrying hides two more far [4](26, 27) ① per ② approximately £670 ④ currently owe ③ people 5 adult [5](28,29) 1 into 2 of 4 most ⑤ which 3 goes

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1次の芸記が城り立りよっに,空所に適する語を書きなさい。 D A: Have Kana and Miki written a letter to Emily_yet 2. B: Yes. They have already written it. (2) A: Have you ever played rugby? B: No,I haven't .I have Sa played it. (3) A: Do you like to travel in China? B: Yes. Ive been there three times. (4) A: Can Iuse this computer? using it. B: Sorry, you can't. I have

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cars TV. People who enjoyed singing even used rental cars as a practice space. 2ラ used our cars in more ways than we thought, said a perSon in one car rental re many rental cars from different car-sharing companies all over large cities in at makes them easy to find and get to. People can find them quickly with an*apn are also not so expensive to use for a short time. People can rent a car for about an hour. () That ( be / to / looking / may / someone / good) for a quiet place in a sive city with few private spaces. 距離 explain:説明する The Guardian newspaper : ガーディアン (新聞社) charge: 充電する リ つ内容に合うように、 次の a,bの ( ) に入れるのに最も適当なものを1つずつ選び、 さい。 ar rental Comnanies are surnrised to find

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If he (@ bought ⑤ had bought ) the picture, he would ( @ be b have been) rich r utouit2 bno 1omm utouitebno jomm abulany buow e s / Practice こい 1.私がスペイン人なら,そのチームを応援するわ。 IfI(@ were Choose the correct word(s). support b had D had been) Spanish, I would (@ Supporte ATA Tot bluow bours ( GU TO the team. the 2. もしその絵を買っていたら,彼は今,裕福だろうに。 Rewrite the following sentences. 1. Because I didn't live in a big city, I didn't see that movie → IfI( big city, I ( that moi, anode onal 2. As he is shy, he cannot talk to her. → If he ( ) shy, he ( th the ) to her. COUS food 3. Since I didn't sleep well last night, I am sleepy now. → If( ) well last night, I(eda1)( ) sleepy c 3 Fill in the blanks. J り 1. もしもっと時間があれば,もっと長居するのですが。 We would stay longer 2. この物語を読んでいたら, あなたはお化けを見たいと思ったかもしれません。sdbad you might have wanted to see a ghost 3.自家用飛行機があれば,そこに飛んでいけたのにね。 01 if we had had our own airplane. TOVno Focus on Form Describe each picture below using the words in ( ). Picture A (if I had 50,000 yen) ud inblooon Picture B (if, had got up, could have) S The Power of Presentation

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If he ( @ bought ⑥ had bought ) the picture, he would ( be ⑤ have been ) richn lany utouie bng1om bitoo C4 | Practice Choose the correct word (s). 1. 1. 私がスペイン人なら, そのチームを応援するわ。 IfI(a were D had been ) Spanish, I would ((@ support ⑥ had Ws Support。 2 Tov e blno 3 the team. Tof Te A 2. もしその絵を買っていたら, 彼は今, 裕福だろうに。 2 Rewrite the following sentences. 1. Because I didn't live ina big city, I didn't see that movie. B- IfI( that mon ) in a big city, I( mun sgon 2. As he is shy, he cannot talk to her. If he ( ) to her. ) shy, he ( ト 3. Since I didn't sleep well last night, I am sleepy now. → If(- dhut )(u) welllast night, I ( ) sleepy m 3 Fill in the blanks. (税) 1. もしもっと時間があれば, もっと長居するのですが。 We would stay longer 2. この物語を読んでいたら,あなたはお化けを見たいと思ったかもしれません。d bail you might have wanted to see a ghos 3. 自家用飛行機があれば,そこに飛んでいけたのにね。 if we had had our own airplane. | Focus on Form Describe each picture below using the words in ( ). Picture A (if I had 50,000 yen) Picture B (if, had got up, could have) Coo 100ob

問題としてはこのURLのやつでexercise2.2.9の問題です。 2.2.9. Define T : ℓ^2(Zn ) → ℓ^2(Zn ) by (T(z))(n) =z(n + 1) − z(n). Find all eigenvalues of T.... 続きを読む

16:22マ l 全 の Exerc: 164/520 matrices, convolution operators, and Fourier r operators. 2.2.9. Define T:l'(Zn) - → e°(ZN) by ニ Find all eigenvalues of T. 2.2.10. Let T(m):e'(Z4) → '(Z) be the Fourier multipliei (mz)' where m = (1,0, i, -2) defined by T (m)(2) = i. Find be l(Z4) such that T(m) is the convolutior Tb (defined by Th(Z) = b*z). ii. Find the matrix that represents T(m) with resp standard basis. 2.2.11. i. Suppose Ti, T2:l(ZN) → e(ZN) are tra invariant linear transformations. Prove that th sition T, o T, is translation invariant. ii. Suppose A and B are circulant NxN matric directly (i.e., just using the definition of a matrix, not using Theorem 2.19) that AB is Show that this result and Theorem 2.19 imp Hint: Write out the (m + 1,n+1) entry of the definition of matrix multiplication; compare hint to Exercise 2.2.12 (i). iii. Suppose b,, bz e l'(Zn). Prove that the cor Tb, o Tb, of the convolution operators Tb, and convolution operator T, with b = 2 bz * b.. E Exercise 2.2.6. iv. Suppose m,, mz € l"(Z). Prove that the cor T(m2) ° T(m) and T(m) is the Fourier multiplier operator T) m(n) = m2(n)m」(n) for all n. v. Suppose Ti, T2:l"(Zw) → e'(Zn) are linear tra tions. Prove that if Ti is represented bya matri respect to the Fourier basis F (i.e., [T; (z)]F =A Tz is represented by a matrix Az with respect t the composition T20T, is represented by the ma with respect to F. Deduce part i again. Remark:ByTheerem 2.19, we have just proved of the Fourier multiplier operat Aresearchgate.net - 非公開

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ありふれた単語ほど使い方もいろいろあります。 よく知っているはずの単語も, ときと The commoner a word is, the more ways there are of using it. So, ありふれた単語ほど使い方もいろいろあります。 よく知っているはずの単語も、と き辞書で確かめるべきです。 01 you should lookupeven words which you think you know well. ○「ありふれた」 「(パソコンなどが) 普及した」 を表す形容詞は common がよい(→ p.212) ○ (the +比較級, the+比較級〉 の構文を使って 「ある単語がありふれていればいるほ と、いろいろな使い方がある」 ということを表現してみよう。 この構文を使うときの注 意事項をしっかり守らなければいけない (→p.108)。 Aword is common.「 ある1つの革 語がありふれている」。 There are many ways of using it.「それを使うやり方がたくさんあ る」というそれぞれの文をこの構文に書き直せば, 上の解答例のようになる。 ○「知っているつもりの単語」 を関係詞を使ってうまく書いてみよう。そのような単語 は不特定多数あり,それらをみな折りにふれて辞書で調べなさい. というわけだから(多 /多)の関係(→ p.59) に相当するので, 先行詞は無冠詞複数で words とする。さらに You think you know words. 「あなたは単語を知っていると思っている」という文の words が関係詞に代わったと考えると, words (which) you think you know で 「あなたが 自分で自分が知っていると思っている単語たち」 を表せる。つまり.複文構造になって いる関係詞節をしっかり使いこなすのがポイントというわけだ (→ p.62)。

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2 次の対話文を読み, 設問(a)~(e)にもっとも適切なものを1~4の中から1つ 選びなさい。 Two friends standing in line at a store checkout. Marissa: I know I have it in here somewhere Karen: What are you looking for? Marissa: My point card. Sheesh, I have so many of them now. I can never find the one I'm looking for. Karen: I know! It's getting ridiculous, isn't it? Every store has its own, and they're all different. Hold on a second. Let me go look by the register. They usually have a sample Yeah, the one for this store is orange. Marissa: Orange? Oh, here it is. Thanks. I really wish there were a better system. Pretty soon I'll need to start carrying a second wallet. Crazy! Karen: You know what would be great? If we had just one card that we could use for every store. You know, with an IC chip in it. I think those chips can hold a lot of data. It could hold point information for every store you go to. Marissa: That's an interesting idea but wouldn't it be a little risky? What if you lost it? You'd lose the points from all your stores. And Karen: Actually, I think most point data is now stored online. anyway, if you keep all your cards in the same wallet, what's the difference? What happens if you lose your wallet now? Marissa: Yeah, I see your point, I guess. But after all, I don't mind that each store has its own point card, because I like looking through the different designs. It's almost like collecting trading cards. Karen: Then you'll definitely need that second wallet! 5 英LAEEJPKS-006

()内の語句を使って文章をつくる問題です 解答お願いします

■ Focus on Form Describe each picture below using the words in ( )in Picture A (had been singing, opening, closing) dheen singing KARAOKE S OPEN |I:00 CLOSE 19:00 Yote aril Hejer ne e

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問題は【1】~【4】まである。答えは各問題の指示に従って別紙の解答用紙に書きなさい。 【1】次の英文を読んで設問に答えなさい。 Headaches are a big problem. Each year, millions of people suffer from severe headaches that affect their enjoyment of life, (1) not to mention their productivity at work. estimate, headaches cost individuals and businesses more than (2) $50 billion each year! (3) This is one of the reasons research into headaches has become a worldwide effort. Although he did not know much about how headaches work, Hippocrates was the first doctor to find a way to treat them. By 400 BC, Hippocrates had discovered that the *bark from willow trees was useful in treating pain. He made a white powder from the tree's bark and gave it to his patients. Hippocrates did not know it, but he was actually prescribing a natural chemical in willow bark called salicin. Whena person eats salicin, the chemical is changed inside his or her body into (4) salicylic acid. It turns out that salicylic acid is good for stopping pain, including headache pain, but it is bad for a person's stomach. In the 1800s, a chemist in Germany slightly changed easier for people to take. commonly known as aspirin. Aspirin was used throughout most of the 1900s to treat headaches, but doctors had little idea about what really caused headaches. When doctors can *diagnose the cause of a disease, they can find better ways to treat it. Therefore, as medical technology developed, doctors began to use it to learn more about the human brain and about headaches. In fact, according to one m to make it This new form of the chemical was called acetylsalicylic acid, now acid's Now doctors classify headaches ( A ) two general types: primary and secondary. A primary headache is a condition ( B) as only the headache itself. one caused by another physiological condition, such as an *infection or a *tumor. For primary headaches, doctors have determined three possible causes. headache is caused by stress. characteristically felt on both sides of the head as a dull, steady pain. Another kind of primary headache is the *migraine headache. Exactly what causes these headaches is not well understood, but many experts believe it could be abnormal brain activity causing changes in the brain's chemistry and blood flow. For many people, migraines are caused by certain (5) stimuli, such as poor sleep or particular foods or smells. A sufferer usually feels intense pain on one side of the head and becomes sensitive to light and noise. If the migraine is severe, the sufferer may *vomit repeatedly. The third kind of primary headache is known as the cluster headache. Cluster headaches typically occur around the same time each day for weeks or months at a time. The person ( C)from this kind of headache usually feels pain on one side of her or his head, and the pain is centered around one of the eyes. Doctors do not know much (6) at present about cluster headaches, but they seem to be more common among men and could be related to alcohol or other things that affect a person's blood flow. Using computers and more advanced medical equipment, doctors continue to learn more about what happens in the brain before and during headaches. Especially in the case of migraines, some doctors believe they have found the part of the brain that sets off the reaction for severe attacks. With these insights into brain processes, doctors hope new ways will be discovered to stop headaches before they begin. On the other hand, a secondary headache is One kind of primary Doctors usually call these tension headaches, and they are 注: bark 樹皮 diagnose ~を診断する、~を突き止める 感染症·伝染病 migraine (headache) 偏頭痛 infection tumor 腫場 vomit 食べたものを吐く (出典:READING FOR THE REAL WORLD 3rd edition, Compass Publishing より)