和訳が分からないので教えてほしいです。 宜しくお願いします。

Music During Surgery? (e) 2-37 Scientists have found that the soothing effect of music benefits patients having eye surgery. Studies show that those who listened to their choice of music during surgery had a significantly lower heart rate and blood pressure than patients who did not listen to music. Heart rate and blood pressure of all patients increased the morning of surgery.. However, these measures of cardiovascular stress dropped significantly in the music group within ten minutes of tuning in, and remained low throughout the surgery. The stress from surgery was lower among the music patients, but their ability to cope was higher. These ratings confirm the benefits of music during surgery. It has also been noted in other studies that surgeons who play music of their choice during surgery feel that it relieves stress and improves their performance. In the words of one researcher, “If music was a drug, everyone would want it. Patients like it. It's cheap and effective, and has no negative side effects." NOTES: soothing 「(神経や感情を)静める」 cardiovascular 「心 (臓)血管の」cardio は heart の意. side effect「(薬物などの)副作 用」

この設問1の英文のように設問2ではtable2をみて英作文をしなければならないのですが、全くどう始めたら良いか分からないので教えて頂きたいです。

第2問 2019 Percentage Total population (including foreign residents) 2019* change in population 2000-2019 (%) Prefecture (alphabetical order) 2010 2000 +1.76 5,104,000 5,015,699 5,071,968 -10.31 Fukuoka 1,602,000 Kagoshima 1,786,194 1,706,242 -5.99 1,748,000 Kumamoto 1,859,344 1,817,426 -8.29 1,073,000 Miyazaki 1,170,007 28 1,135,233 -12.50 1,327,000 Nagasaki 1,516,523 1,426,779 -7.05 1,135,000 Oita 1,221,140 1,196,529 +10.22 1,453,000 Okinawa 1,318,220 1,392,818 -7.03 815,000 Saga 876,654 849,788 -3.43 14,257,000 All Kyushu 14,763,781 14,596,783 * estimated data Data adapted from: Statistics Dashboard, Statistics Bureau, Ministry of Internal Affairs and Communications. Retrieved on June 25, 2020 from https://dashboard.e-stat.go.jp/en/ TABLE 2: Average number of elementary school students per elementary school in Japan in 2000, 2010 and 2019 Average number of elementary school students per Number of elementary Number of elementary Year school students schools elementary school 2000 7,366,079 24,106 305.6 2010 6,993,376 22,000 317.9 2019 6,368,550 19,738 322.7 Data adapted from:

p0(x)=x(x-an)^(n-1)の時のf(u)を求めよという問題です。 画像から先が分かりません。 類題として、 p0(x)=x(x-1)(x-2)****(x-(n-1)) のときはここから等比数列の形に持ってきいき、積分してf(u)=log(1+u)という... 続きを読む

Pocu)ニメしメーan とする。 16 「icx)ニメ,Pcu)=ー2の大 P分しオ)こメ(メーが)) PrG)ニプレメー4a)? 2 ニス(メーbaスMat) ニえしス12ax4行がつしー6中 12ラ 5 25 Poca)=1 *25 Pas=(メー5y ニズのニ20のナ50がピー50083人t6 62 12 Puaに Poは) ラレ0 cx) Peavo)=fuいとおと。 をの当のfa) める。 Poしメ) n1 uたぬ許 xPcwt)=2 Pocuryo メニのを代入する Pu-差。wーfu) nI Poto nニ0 ンタの工買の保ス 3l4 15 20190~ -6431625の4 るーし 5-1 (-an)^! 定王理 Pal)=(-anー! スメーののがセえで展開すると、 2ransとじりごしか)ーと としどanェ入 ビー0とすると ニス()とののー こcan)え 定理コをキののこ代入する fuリニ言can しなる口 nl 2+1 [2+] Let cients ; Shoy K by x". Show th 2, let fn E l every intery 3×…× N ppose that the iere is a functio [0, π] satisfie f(2)f° une

わかる人いたら教えてください

¥ Samuel Pepys is the earliest diary- keeper that is famous today. for it gives personal insight into London's Great Plague and the Great Fire. Pepys took diary writing from the realm of business to the individual. His diary is being published on the Internet, and it is interesting to note that there has beena new entry every day since Anne Frars 1929-194。 n January of 2003. It will continue over the course of several years to come. Reading his diary is fascinating. and it makes his life all the more real to us. 63 Today's electronic version of the diary, the web READING PASSAGE log, or “blog," has once again stretched the diary to fopic sentences and supporting sentences of each paragraph be much more than a personal account of the dav's events. There are blogs to document recipes, traveling. ロ movies, independent news, product announcements, allowance." It refers to a book for fragmentary writings by date and is photos, and anything else that needs to be recorded over time. Search engines like Technorati.com have 会 the six volumes of Samuel Pepys diary manuscript 35 been created to keep track of the more than 112 million blogs that are $ diary is a good form of self-study. 日(In America, from the 1940s through the 1980s! a diary was thought of currently public. In its newest incarnation, the diary has become more popular mostly as a way to privately express one's deepest thoughts while keeping notations about the day, In those times, pnd even continuing on today, writin。 in a diary was like writing to a special friend. Many times, movies would show than ever. COMPREHENSION QUESTIONS 9 teenage girl beginning to write in her diary while she said aloud, "Dear diary Decide if each statement is true [T] or false [F]. If it is false, write the sentence correctly. What followed was a synopsis of the day, usually filled with emotion. Those private reflections may have historical significance long after the 1.[]The word “diary" means a collection of stories written every ロ day. author's death. A diary kept by a young German Jewish girl by the name of Anne 2.[] Diary writing in movies illustrates how similar it is to writing to a special friend. Frank provides us with invaluable lessons about history, for she documented Anne kept a record of her private events and thoughts in her diary after she moved to Germany. 15 her experiences while she hid from the Nazis during their occupation of the Netherlands in World War II. Her diary became one of the world's most widely 4.[]Pepys was one of the first diary writers to include his own personal observations of historical events. read books and is the basis for many films. Samuel Pepys, who lived during the 17th century, is the earliest diary-keeper that is famous today. His diary is also an important documentation of history, ロ 5.[、]Today's diaries on the web are changing their characteristic of being secretive. 12

(ii)と(iii)がどうしてこうなるのか分かりません お願いします

b. [1+] Let t(n) be the number of total partitions of n, as defined in Exam- ple 5.2.5. Let g(n) have the same meaning as in Exercise 5.26. Deduce from (a) that g(n) = 2"t(n) for n >1. c. [2+] Give a simple combinatorial proof of (b). 5,37. a. [2+] Let 1=D po(x), pi(x), be a sequence of polynomials (with coeffi- cients in some field K of characteristic O0), with deg pn=n for all nE N. Show that the following four conditions are equivalent: ) Pn(x + y) =DE>o (") Pe(x)pnーk(y), for all n eN. (i) There exists a power series f(u)=aju+azu'+ E K [[u]] such that と P(x)- un expxf(u). (5.110) n! n>0 仮定 NOTE: The hypothesis that deg pPn=nimplies that aj ¥ 0. () E20 Pa(x) = (E>0 Pn(1)). (iv) There exists a linear operator Q on the vector space K[x] of all poly- nomials in x, with the following properties: ●Ox is a nonzero constant ●Qis a shift-invariant operator, i.e., for all aeK,Qcommutes with the shift operator E4 defined by E® p(x)=D p(x +a). ● We have Qpn(x) =D npn-1(x) for all n e P. NOTE: A sequence po, Pi, .. . of polynomials satisfying the above con- ditions is said to be of binomial tvpe. The operator Q is called a delta

これもお願いします！

Communication 教科書 p.46 Name (10) 不定詞 はば ~表現の幅を広げよう~ 次の日本語に合うように (1) その男の子はサッカーを練習するためにここにいます。 に適切な語を入れて英文を完成しましょう。 The boy is here abo soccer. (2) あなたは今, 宿題をする必要があります。 ( You need your homework now. (3) その都市には訪れるべき場所がたくさんあります。 The city has alot of places (4) コンピュータを使うのは簡単です。 い () uoY It is easy Computers. (5)私はそれを知ってとても悲しいです。 () 地子 I am very sad g/most inter that. メニモ () 2 次の日本語に合うように, ()内の語句を並べかえて英文を完成しましょう。 (文頭は大 文字に) (1)、ジョンは野球をすることが好きではありません。 (like / John /baseball / doesn't/play / to ). (2) 私はバッグを買うためにその店へ行きました。 (a bag/I/the store / to / went to / buy ). wC (3) これらがあなたに見せるべき写真です。 (show/these/you/the/are / to / pictures ). (4) カレーを料理することは難しくありません。 (difficult /it /cook/is/curry/ to/not ). (5) ジュディは多くの仕事について学ぶためにインターネットを使います。 (learn about / to/the internet/ uses / Judy / many jobs). 122

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.

多様体の接ベクトルに関する性質の証明なんですけど、(1)が分かりません。 素直に訳すと、(1)は「多様体上の滑らかな関数fとgが点pの座標近傍で同じなら、その接ベクトルv(f)とv(g)は同じになる」だと思うんですけど、証明でf(p)=0,g(p)=1と明らかに異なる値をと... 続きを読む

11. Lemma. Let ve T,(M). (1) If f, ge F(M) are equal on a neighbor- hood of p, then Uf) = v(g). (2) If he F(M) is constant on a neighborhood of p, then u(h) 0. 三 Proof.(1) By linearity it suffices to show that if f = 0 on a neighbor- hood W of p, then u(f) = 0. Let g be a bump function at p with support in W; then fg = 0onall of M. But v(0)= u(0 + 0) = u(0) + u(0) implies v(0) = 0. Thus 0= (fg) = v(S)g(p) + f(p)v{g) = u(f), since f(p) (2) By(1) we can assume that h has constant value c on all of M. If 1 is the constant function of value 1, then 0 and g(p) 1. ニ (1) = (1.1) = (1)1 + lu(1) = 2v(1). Hence v(1) = 0, and v(h) = u(c· 1) = cu{1) = 0.

Do you know how to use the printer, or would you like me to show you. の文で最後のyou はどのような働きをしているのでしょうか。教えて頂きたいです。

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