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English Senior High

2にはdisinterested、3にはfalseが入ります。 この文章の最後のThe ideaからの1文が、意味も、falseが入る理由もわかりません。 よろしくお願いします🙏

Play and art are alike in that both activities appear superficially at any rate>to lack the compulsion associated with biological necessity. We seem not to have to play in order to survivé; nor are we obviously compelled to paint pictures, compose music, or sculpt statues. Although one can imagine that a man might be forced by S. another to create sómething, it is generally true that art is a voluntary activity, and that creativity_flourishes best (in the absence of compulsion. The same is true óf play. \For, although one might compel a child to play a game\against his will, the game will straightaway lose one of the characteristics)that makes(it play. If it is accepted that both play and art are essentiarty voluntary, it follows that both are generally( 2 )activites. | Although games. can be turned into ways of makinga living by those who are particularly skilful players, (hey do not originate in this way. Although creative productionv may turn out to be financially rewarding, men do not primarily engage in it for the sake of financial gain. Both games and werks,of art stand somewhat outside the ordinary course of life, and 'do not appear to be associated with the immediate satisfaction of wants and appetites. The idea that a novelist, for example, could sit down and write a popular romance for cash with her tongue in her cheek is almost certainly( 3 ).

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English Senior High

和訳の確認をしてほしいです! お願いします🙇‍♂️🙇‍♀️

TR3T Humans usually breathe from sixteen to twenty times each minute. If you analyzed 01 the air you breathe, you would find it is a mixture of different gases. Most of it is *nitrogen about four-fifths. One-fifth is oxygen. There is also a tiny amount of carbon dioxide, a little "water vapor (which gives air its humidity), and some "traces of 05 what are called "rare gases. If you were to put a bag over your nose and mouth to catch the air you breathe out, i図 you would find (1)Some strange changes. There would still be the same amount of nitrogen. There would also be the same traces of rare gases. But there would be much less oxygen and a hundred times more carbon dioxide than in the air you breathe in. 10 There would also be considerably more water vapor. TR33 ,What happens is that each time you breathe, an exchange takes place. You keep Some oxygen; you breathe out much more carbon dioxide and water vapor than you breathed in. 、The reason is that every moment of the day and night your body is using up energy. Your heart uses up energy as it beats. Your muscles use up energy. So 15 does your brain, and so does every other part of you. All this energy is produced by the work of the millions and millions of cells that make up your body. Every one of these cells needs Oxygen in order to do its work. As the cells use up oxygen, they form carbon dioxide, which is a “waste product. So your body carries out these two processes at the same time. You breathe in the m3 20 OXygen that cells need to produce energy. You breathe out the carbon dioxide that is harmful. It sounds so simple. Yet your life depends on these processes happening dav and night without interruption.

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English Junior High

日本語の意味が分かりません💦 教えて下さると助かります! すみませんがお願いします!

【ゆりさんのスピーチ】 Do you know that a lot of people in Shiga Prefecture have worked as volunteers? I read about it in the newspaper and I thought of one person, Mr. Ikeda. I think most of you know him. He lives near here and he takes care of the flowers along the road to our school. One day, I said to him, “Thank you very much for taking care of the flowers. beautiful.” He smiled and said to me, “It's my pleasure. I'm glad that you I like seeing them. They're very enjoy O them. It's only a small thing, but I wanted to do it for the people in our town.” I wanted to do something for other people like Mr. Ikeda. So I decided to clean the lakeshore whenI take a walk every morning. When I walk along the lakeshore, I always enjoy the beautiful view. I ② (enjoy / to / wanted / everyone ) the beautiful view of Lake Biwa like me. While I am picking up garbage on the lakeshore, many people say to me, “Thank you.” When I hear that, I am very happy. After strong winds, the lakeshore gets very dirty. Cleaning it is hard, but I don't feel tired because 3) When I was a child, I only did things that other people asked me to do. Through this experience, I've learned that it's important to decide what to do for others by myself. Aweek ago, I had another wonderful experience. When I was cleaning the lakeshore, I met a woman who was doing the same thing. She said to me, Thank you for keeping the lakeshore clean. I see you when I take a walk every morning. I was moved, so I began to clean like you.” I was glad to hear that. I found that even a small thing can move people if we do it for others. I also learned that volunteer work will spread to other people in this way. I hope everyone will do something for other people like Mr. Ikeda. (注)It's my pleasure. どういたしまして。 lakeshore 湖岸 view 眺め garbage ごみ dirty よごれた by myself 自分で move (d) move(感動させる)の過去分詞形

Resolved Answers: 1
Mathematics Undergraduate

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... Read More

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.

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