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First, let's look at clothing. At first glance, the fashion industry_is not 6 really an area for pioneering research to take place. However, believe it or not, nanotechnology is already being used to create special coatings, made from nanoparticles* of silicon, that are sprayed onto clothes to make them waterproof or stainproof. Other nanoparticles are put in T-shirts to block ultraviolet light 2 3 5 from the sun, (ア sunburned イ from ウ wearer エ getting オ the カ preventing) . Nanotechnology can also be used to kill bacteria in clothes to

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間6 下線部[6is not really an area for pioneering research to take place. を, 以 下のように書きかえるとき, ( れ )に入れるのに最も適切なものを, 次のア ~エより1つ選び, 記号で答えよ。 is the ( ) likely area for pioneering research to take place. デ much イ least very エ little

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

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)

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

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29 Laundroid is a new robot that folds laundry. Throw in up to 40 items of clean clothing and it goes to work. It analyzes each item、 figures out its ideal foldin shape, and folds it. The problem is that, in the first-generation Laundrold image analysis of each item takes up to 10 minutes, and folding a mintte

最後の文にあるcollapsed minesを訳してほしいです、わかる方教えてください🙏🏻

(1) Scientists, engineers, and military researchers want to know how creatures with such small brains can do that. Maybe they could Treverse-engineer a fly to make a fobotic device that could treconnoiter dangerous places, such as earthquakezones or collapsed mines, nl odu lo 1o1qnct (161 words) 15 OtpG Hou DAugaph Mge nor oujh s reas pnp syao s "housefly 「イエバエ」 "aerodynamicist「空気力学者」「hover 「空中でとどまる」 *show-off maneuver 「見せびらかしの飛行」“sesame | ゴマ」*hoverfly 「ハナアプ」 bjeicto an G *the be-all and end-all 「究極のもの」“reverse-engineer 「を解析して模倣する」 *reconnoiter「を偵察する」 opo conicg qnupe pe 8ue

なぜ22番の答えが1なのかわかりません わかる方いらっしゃったら解説お願いしますm(_ _)m

2 次の英文A、Bを読み、その文意にそって(21) か ら(26) ま での A その番号を解答用紙の所定欄にマークしなさい。 )に入れるのに最も適切なものを 1,2、3、4の中から一つ選び、 /6 Cycles of Changece The bicycle is an efficient means of transportation. It was invented in the 19th century, and since then, it has been improved many times. Recently; electric bicycles, or "e-bikes," have become widely used. Unlike a regular bicycle, an e-bike has a motor, which allows the rider to go up hills more easily. Sqme cycling fans think that it is "cheating"” to use a bike with a motor. Nevertheless, e-bikes are quickly ( 21 ). In fact, e-bike sales in the United States were eight times greater in 2018 than in 2014 according to one survey. Researchers say this is good news. They claim that e-bikes may have a positive effect on people's health and the environment. One major advantage of e-bikes is that older people and those who do not exercise regularly can cycle. This makes it easier for them to commute to work by bike, which is better for the environment than traveling by car. ( 22 ), e-bikes allow more people to cycle as a hobby. People who could not ride along rough roads or up mountains, for example, can now do so. p Some cycling experts, however, point out problems with the increased use of e-bikes. For one, riders of e-bikes are more likely to be involved in accidents. In response, some people want speed limits to be lowered and other measures to increase safety, such as bike paths. Most importantly, experts say riders of both e-bikes and regular bikes should be careful. It does not matter if a bike has a motor or not. The important thing is to enjoy cycling ( 23 ). 2 causing new problems 4 improving the environment (21) 1 reducing electricity use 3 growing in popularity 3 By contrast, 4 Despite this (22) What is more_ 2 Therefore 2 together with friends 4 while staying safe (23) 1 during the warm months 4 3 in order to keep fit 13の他 21たっク曜師に 4z070も copyright2021 公益財団法人日本英語◆ *ます