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

問題としてはこのURLのやつでP.144 exercise2.2.1の問題です。 https://www.researchgate.net/profile/Seyed-Yahya-Moradi/post/Can-anyone-suggest-a-wavele... 続きを読む

過去問なんですが答えを貰っておらず分からないので教えてください よろしくお願いします

was studying エ will study) last イ is studying When Megumi① (ア studies と near She answered, "I will go to Kyoto ウ about night, Kevin called her. He asked her, "What will you do (② (アduring Do you have any plans?" エ of) your summer vacation? I visiting)my grandparents. How about you?" He ViSit と visited to visit E) we She said, "You can come to Kyoto with ④ (ア answered, "I don't have any plans now." ウ エ ours). It will be fun." He was surprised but very glad to hear that. our us と 7 次の英文は、図書館の職員が昨作年行ったアンケートについて説明しているものです。 これを読んで、後の問いに答えなさい。 Last year, we did *research about our library. We asked 2 questions to 200 visitors. Look at the *table. The first question was, "How often did you visit our library?” The number of Visitors who came more than 5 times a month is much smaller than the number of visitors in the other 2 groups. The second question was, "How long did you stay when you visited our library?" Look at the *graph. The number of visitors who stayed 0.5-1 hour is the largest of all. Those people borrowed books at the library and read them at home. Many people read books in the library and stayed here more than 2 hours. Those visitors who stayed less than 0.5 hours are as many as those 1 - 2 hours. These days, people are very busy and don't have time to come to the library. We hope to meet as many people as possible here. is important ) us books, so please come to our library. How often did you visit our library last year? How long did you stay when you visited our library last year? Answer Number of visitors Less than 0.5 hours (%01) more than 2hours More than 5 times 13 (38%) 0.5~1 hour 3~5 times 78 (42%) Less than 3 times 1~2 hours 60L (%01) (注*) research 調査 table 表 graph 図武

英語の質問です 青マーカが引いてあるusingちついてなのですが このusingはこの文章の中でどういう役割をしているのでしょうか？ 自分的には正しい日本語訳になるにはbyが必要かと思うのですがどうでしょうか？ 教えてくださいよろしくお願いします

3 In the United States, about two percent of all food is grown using 10 organic methods. The U.S. government officially licenses farms as “organic” if they pass an examination. Presently, there are about 10.000 licensed farmers in the U.S., and this number is growing by 7 8 about 20% a year. (123 words)

約40人にアンケートをとりました それについてのプレゼンをやるのですが... 原稿を作って欲しいです.... 下に載せてる写真の文のようにしてくれると とてもありがたいです 出来ればお願いします アンケートの結果はしたにあります お願いしますm(_ _)m 緊急なのでで... 続きを読む

d ana ジョシュのグル We 12/ What does Josh use to asked like?” rds Do you like movies? We asked our classmates this qguestion Our m sea,r classmates lik。 Please look at the graphs. Accordino research, ninety-five percent of our Nine of classmates like animated movies the best.。 them like action movies the best, and science fict: got the same number. Five like other kinds, such。 love stories, comedies, or horror movies. As a result of our research, we found that animated movies are the most popular in our class. However, more than half of the class likes other kinds of movies better than animated movies. That was a big surprise to us. on. onT [121 words] 1s Somiao

こちらの答えを教えていただきたいです。 お願いします；；

教科書と似たテーマの文 イ次に 地球温暖化 (global warming) についての文章を読もう 2 次の英文を読み,あとの問いに答えなさい。 STEP Today we sometimes have big typhoons and water shortages in the world. Scientists say that these come from global warming. According to research, 1 the average temperature is 0.78℃ higher than it was 100 years ago. Because of this, many problems happen all over the world. For example, the, lands,of Some countries started sinking because the sea level is rising., People in other countries can't harvest(bese it hasn't rained for a long time. 5 上 する To solve these problems, many countrieshave taken action. In 2015, they had a meeting in Paris and decided to work together on climate change. Japan also joined the meeting, and decided to reduce the amount of CO, by 26% compared to 2013 by 2030. 9 (注)typhoon 台風 rain 雨が降る shortage 不足 average temperature 平均気温 harvest 収穫する Paris パリ reduce 減らす CO, 二酸化炭素 compared to と比べて (1) 本文中の下線部の例としてあげられていることを,日本 語で2つ書きなさい。 (2) 本文の内容に合うように, ( )に適する語を書きなさい。 Scientists say that the ( (5点×7) 2思判·表 10点×7 || 0 ab t1ot くつかの国の土地は歌み行めていると、 ) for big typhoons の側の人をは収稿できないをと A and water shortages is global warming. A B The average temperature 100 years ago ) higher than it is today. (3) 温暖化に対する日本の取り組みを次のようにまとめまし に適する日本語を書きなさい。 年にパリでの会議に参加し, 対応を表明した。具体的には, 2030年までに二ニ酸化炭素 B a た。 a (3) D 量を 2013年比で ことを決定した。 の

教えてほしいです！！お願いします！！

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)

これ答えがカで、1ーｂに⑧が入るのですがなぜですか？？ 何回読んでも⑤が入るようにしか思えません…

3 次の文章を読んで, あとの各間に答えなさい。 (*印の付いている単語·語句には, 本文のあとに[注]がある。) wnat will you say if someone asks vou, "Have vou experienced *stress?" MOst of you Will say, "Yes. There are a lot of *situations that give us stress in our lives. For example, we feel stressed when we make a speech in front ofa lot of people, sing or dance on stage, or take a big test. When people are to0 stressed, they don't feel good, and some of them even (1-a) So stress is one of the biggest problems we have in our *society now. We feel think that stress is bad for our health. Howeven one American study shows that this may be (1-b) In the study, *researchers *tracked 30,000 people in the United States for eight years. At the beginning of the study, they asked the people, "How much stress did you experience last year?" They also asked, “Do you believe that stress is bad for your health?" And then they

訳して欲しいです。

572 34 You are going to do some research in a group of five classmates. You want to borrow three oiwoTio books, but one of them is borrowed by another student. He will refurn it the day after nd sase tomorrow. You also want to copy five pages from each book and give it to your g 3. bne d roup members. 50月 ) of 9Vsnuo coy s .0 toonon 250

(24)がなぜ3になるのか わかる方いらっしゃったら解説お願いしますm(_ _)m

Cows Need Friends Milk production is big business. In North America, for example, one person consumes on average over 150 kilograms of milk every year. To supply the huge amount needed, big farms use machines that automatically feed cows and take their milk. Because ( 24 ), the cost of producing milk is lower. On such farms, though, it is easy for diseases to spread from one animal to another. This can lead to many cows dying on one farm. As a result, cows are often kept separately from a young age. Scientists in Canada researched the effects of keeping young cows in this way. They compared such cows with ones that had been kept with another cow. The researchers showed a red plastic container, which the cows had never seen before, several times to each cow. The cows that had been kept in pairs were interested in the container_at first but soon ignored it. ( 25 )。 the cows that had been kept alone continued to react as if it was the first time they had seen the Container. The researchers concluded that cows kept alone are more sensitive to new things. This is important news for farmers. If cows cannot get used to the feeding and milking machines, milk production slows down. The researchers believe farmers would have fewer problems with feeding and milking if cows were kept in very small groups, rather than separately. The researchers also say that diseases are not sucha big problem for small groups. There should be little risk of ( 26 ) if only two or three of them are kept together. (24) 1 each cow is much larger 2 the milk can be kept longer 4 cheaper food is being used proie 3 fewer people are needed (25) 1 Later on 2 At last 3 In other words 4 On the other hand (26) 1 feeding cows too much 3 wild animals attacking 2 losing many animals 4 young cowS staying healthy