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

答えがないので教えてほしいです！

V. 次の各文の空欄に入れるのに最も適当なものを、それぞれ下の選択肢(1~4) のうちから一つ選び、番号で答えなさい。 A Will he pass the exam?" "I( ) so. 1. am not 2. am sure 3. hope 4. know ) to the station, I met a girl from the same high school 1. Have walked 2. To walk 3. Walked 4. Walking C. My mother sounded ( ) when I talked to her on the phone. 1. angrily 2. angry 3. like anger 4. like angrier D. My father suggested that we ( ) to a larger apartment. move 2- 3. moved 4. moving 1. be moved E. We bought( ) buttons through your online shop on April 20. 3. apiece of 4. asheet of 2. a little 1. a dozen

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

9 次の英文を読んで、後の問いに答えなさい。 Naln was an 'exchange student from *Tndonesia at Minami High School. Her class was going to nave class activities about Indonesia Nani was asked to introduce some games to play. She thought, “I have an idea. I will introduce a game like Japanese janken. One day after school, Nani was on her way home. It began to rain. She was lucky because she was carrying her pink umbrella with her. She went to a convenience store to buy some "snacks. She Ctered the store and put her umbrella near the door There were some other umbrellas there. When she was looking for some snacks, she saw a tall girl. The girl went out through the door. Nani bought some "pieces of bread and a *pack of orange juice. She found one pink umbrella near the door, but it wasn't hers. She said to herself, "Someone has taken( ). Nani said to the Clerk, "T can't find my umbrella. I put it here but " The clerk thought "for a while and said, "1 guess my daughter, Kumiko, took yours "by mistake. Our shoD is very small, and our “family members Sometimes use that door. Kumiko hurried to her friend's house to return a book. She will be back SOon. Nani said, "No problem." The clerk looked at her uniform and said, "Oh, you are a Minami High School student. Kumiko was a student there, too." Nani said, "My name is Nani. I'm from Indonesia." A few minutes later Kumiko came back and her mother said to her, "Kumiko, this is Nani. You took her umbrella. Both of yours are pink." Kumiko said, "Oh, I'm sorry." Her mother said, "She is an exchange student from Indonesia at Minami High School." Kumiko said, "I was a student there too. Nice to meet you. When I was a student, I was very interested in foreign countries. I wanted to have a friend like you. Did you tell your classmates about your country? Nani said, "Yes, but I want to teach them more. I'm going to introduce Indonesian janken to my classmates. I hope they will enjoy it." Kumiko smiled and said, "A game? That's interestingl I'm interested in it. I'd like to see it. Would you like to come to my room?" Nani said, They went up to Kumiko's room. Nani said, "Ill teach you a game, Suit, from my country. It's like a Japanese janken. This is how to play it. You are three "fingers, a *thumb, a “forefinger and a *little finger. A thumb means an elephant. A forefinger means a man. A little finger means an ant. An elephant is stronger than a man. A man is stronger than an ant. An ant is stronger than an elephant." Kumiko asked, "Why is an ant stronger than an elephant?" Nani answered, "An ant goes into its ear, and the elephant cannot do anything about it. The elephant feels very bad. Do you 1understand?" Kumiko said "Yes, I do. I think it is not difficult to understand this game." Nani was glad to hear that. They played it together. After the first game, they tried it again. Kumiko won the second game. They tried it many times. They had a good time. Kumiko said to Nani. "Thank you for teaching me such an interesting game. Im sure your classmates will be excited too." Two days later, Nani's class had class activities. When Nani introduced the game to her classmates, they were interested in it. I hey enjoyed playing it many times. They had a great time. (注*) exchange student 交換留学生 Indonesia インドネシア snack 軽食 piece 一切れ pack パック for a while しばらくの間 by mistake 間違って family member 家族 thumb 親指 forefinger 人差し指 little finger 小指 finger 指

誰かこの問題解いて欲しいです

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

6. で訂正する箇所の記号は イ なのですが、訂正するとどうなりますか？どなたか教えてください！

6 次の各文は、「正しい」 もしくは 「下線部のうち1箇所を訂正すると正しくなる」のどちらかです。その文が正しい場合 は解答欄に○を記入し、訂正が必要な場合は訂正すべき箇所の記号を答えなさい。なお訂正に削除は含みません。 din polnted 1. She felt ア very ネ disappointing ウ when her husband forgot her birthday. エ the, price, was 2. Tom ア forgot イ to ask her ゥ how much エ was the price. 3. The teacher ア said my brother イ that he had better ウ spend more time エ on his lessons. 4. This book is ア enough easy for イaウ six-year-old childェ to read. 5. 1ア wil go on イ apicnic tomorrow if I ウ will have plenty of time. エ 6. The book ア about American historyI ィ lent it to Tom ウ was stolen エェ from his bag. 7. Iァ lost my wallet イ during I ウ was jogging through the park. 8. She ア promised イ that she ウ would take me ェ to the concert.

答え合わせがしたいので教えてください🙇‍♀️

Come under this heading, and are spending an average of 4 hours each day on care. 60% d of second-year public junior high and 4.1% of second-year public senior high school students |I|次の文を読んで、あとの問いに答えなさい。(~~~~のついた語句は文末に注があります。 |was to create opportunities for the yOung to talk to a school social worker about the domestic issues that were keeping them from attending class without young people who are obliged to help with the care of a family member. It reports that 5.7% has revealed one very different reason for absence, and that is the increase in the number d In its latest study, the Japanese government is making an effort to identify the rees for long-term absence from school. Long-term absence at elementary, junior and senior high levels has various causes, not least of which is the ongoing coronavirus pandemic. The study ow the former, and more than half of the A are looking after a younger brother or siste- though the exact figure is not known. The Asahi Shimbun's article of April 14", 2021 also described the case of one shudee who was looking after a grandparent with dementia because both her parents were working and her absence from school was because she could not get up in the morning. Instead of being treated as a separate reason in itself, like a student's refusal to attend school, or sickness, or economic considerations, family care is put into the category of 'other B to highlight the problem. Despite the recent introduction of reasons'. This does not school social workers, and the understanding that domestic issues are often at the root of school absence, much more needs to be done to provide support to enable these young carers Japanese society still expects the C to have enough time to spend on their studies. family to care for its members. The mental health of these young carers is an important issue, though this problem cannot be solved unless the whole domestic environment in which they are placed Is improved. This has led to the criticism that. although the government study may hdVC nelped to identify some of these young carers, there is not enough actual support bes offered. AS early as 2015, Minami Uonuma City conducted a survey which tried to ldeirers) specific cases in which young children were acting as carers. and then started to p them with real support. D the fear that this might reflect badly on their family.

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)

4と5が分かりません 4はquest to doだと思うのですがdoのところが分かりません 5はし始めるだと思うのですが分かりません

5. We will begin to paint the house as soon as the weather permits. o aid brieo C Fill in the blanks to rephrase the sentences. 1o boron some 1. A good idea occurred to me. )upon a good idea. 2. We can see his courage through all his actions. → His courage ( )all his actions. 3. I have been looking for the aim of my life for a long time. →I have been ( )out the aim of my life for a long time. 4. People cooperated for women's rights. → People stood ( ) to ( ) for women's rights. 5. We will begin to paint the house as soon as the weather permit。 We will (

⑹が分かりません！ ちなみに答えはエです

3次の文章を読んで, あとの (1 ) ~ (6) までの問いに答えなさい。 Today we travel the world easily. Cars, trains, and planes ( A )us quickly from city to city. Thousands of years ago, oit was different. There was only one way to travel from Europe to Asia. It was called the Silk Road. In fact, the Silk Road was made up of many roads. They(through, like、 passed. places, different, many) deserts, rivers, mountains, and forests. The Silk Road dates from about 100 BC. Traveling along the Silk Road was very hard. The best way to travel along the Silk Road was by camel. Many people used horses, too. Others, the less fortunate travelers, had to walkn Most people traveling on the Silk Road were bringing things to sell. They Silk is a carried many different things, but the most famous was silk. material that is soft and used for making clothes. 9ds v The Silk Road was also important for carrying ideas. Philosophies like Buddhism and mathematics were carried from country to country. This was the easiest part because ideas are easy to carry! ®Anyone can do it! At the Many people started their journey along the Silk Road in China. eastern end of the Silk Road was Xian. This was the capital of China at the Xian had all the comforts of a big city. There was time. 4) food to eat and water to drink. It was a good place for travelers to prepare for the next part of their journey、 く注> philosophies 哲学 Buddhism 仏教 - mathematics 数学 Xian 西安 comforts 快適さ om em deT (1) ( A ) にあてはまる最も適当な語を,次のア~エから1つ選び, 記号で 答えなさい。 ア put イ drive ウ fly エ take uo on a'tel (2) 下線部①の内容として最も適当なものを, 次のア~エから1つ選び, 記号 で答えなさい。 ア人々の生活 イ 人々の移動方法 ウ 国際情勢 エ 国の治安 (3) 下線部②が本文の内容に合うように, ( かえなさい。 )内の語を正しい順序に並べ