英語表現の分詞構文の問題です。

aEl in the blanks to complete the sentences. (1)趣味と言えば,カラオケはお好きですか. evol slquo s ns ) pastimes, do you like karaoke? (2) 雨だったので,私たちは家で映画を見ることにした。 )rainy, we decided to watch a movie at home. ot lisme ns onitinw al iloniH S (3)ポールは目を輝かせながら夢を語った。 Paul talked about his dream( )his eyes (ou). hey (4)その研究から判断すると,この国は財政問題に直面するだろう. ) the research, this country will face a financial problem.

(さ)で「v²ーv｡²＝2ax」は使えないんですか？

States along the AT. Cimbing ded hillides s from North Carolina bengamot (Georgia to southern h into Ontario, ich blooms berries adI cohosh, oeyedaisy,black-eyedSusan New England)。 bee balm (Georgia lo New York), touch-me-not, boneset. above other undergrowth, e by tubelar fowers of the deepest, of he carlier nowers will hv I I 図2に示すように、正の荷電粒子(質量m [kg),電気量q(C), q> 0)が, x 軸上を真っすぐ正の向きに運動してきて原点0を volm/s)の速さで通過した のち,点A, B, Cを通過した。x軸上の電位の様子は図3のように示され V とす。 る。A, B. Cのょ座標を, それぞれ xA, Xル, Xc とする。また,原点0を電位 の基準とし、図3中の1VaはAからBまでの電位を示す。 し x Cm) XcーXo 大二関 A m, 4, D, エh, エル, Ic. VEのうち, 必要なものを用いて,以下の各間に答 えよ。 図2 ?ng 二 例 OA 間/AB間およびBC間の電界の大きさを求めよ。 V(V)、 ある、(コ)粒子が OA 間で受けるカの大きさを求めよ。 離 ニ 濃 お ケ 粒子がAを通過するときの速ぎを求めよ。 AちAは Vg の JJS ケ 『個き端 H 日 粒子がAからBまで進むのに要する時間を求めよ。 (ス) 粒子がCを通過するときの速さを求めよ。 る本軍S / O 0 B C XA XB Xc 図3 T-Ed VE- Exe F. gVB eE Ma: 9.VE ズA XローXA ◇M2(750-24) mIA

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II 次の失文の空欄に入れるのに最も適切な語(旬) を、それぞれ下の①~④のうちから一つ つ 選びなさい。 ノ take off your jacket because it is a little bit chilly in here. 3③ You( don't have to 0 have not (2 ought tó ought not 12. He suddenly closed his eyes ( ) to say something important. のYand as much 2 but 3 as if 13. He is a popular artist ( ) pictures are very expensive.. which の/whose 2 that who 14. My supervisor insisted that the report ( before the meeting. be submitted (2 should submit (3 submit should have submitted 15. If ( ) he had taken his teacher's advice. の any 2 not 3) pnly 4 SO 16. The lady ( )the horse couldn't see the dog coming behind them. rides 2) 'rode (3 was riding の riding 17. ) Sunday, I went to church with my family. It was 2 Because ③/Being It being 18. He finally decided to quit ( 1 to smoke to have smoked 'smbking 4) smoke 19. We held our mother's birthday party, and my niece came (。 ) her whole family. の from 2 along with ④ together

11,14,16,17,18 を解説お願いします

@ I Ohowever], I'll come and help 2. 次の問い (尚 文頭に来るものも小文字で示してある。 問1. どんなに忙しくても、 手伝いに行きます。 [O am 内で3番目にくるものをそ 11 busy you. 12 の him When I came to know him, I found [① の as intelligent 13 問3. 寝たら気分が良くなりますよ。 will 2 make の sleep] feel better. [0 you 問4. キャシーは目を輝かせて入ってきた。 2 in 14 qiesbbon her eyes]. shining Cathy came [0 with 問5. 実は私は今、 転職を考えています。 3 is 15 の fact] I'm thinking about [O that の the blos changing jobs. 9d! os 問6. そろそろおいとまする時間です。 16 の time] leaving. i s 8間 It is L0 were の about we 問7. 君は髪を切ってもらった方がいいよ。 17 You [0 have 3 better 問8. この機械の使い方を教えていただけますか。 2 your hair の had] cut. 18 Would you [O be dtog - enough」 show me 2 kind 3 to how to use this machine? 問9. 彼は目覚めると床に倒れていた。 por 19 He woke up [0 1lying 2 himself floor. 3 find の to] on the

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

なぜ④が答えになるのか教えてください！

問9 This bridge ( A ) be repaired ( B ) fifth year. 15 0 A:is able to B : at 2 A:is able to B : eyery 3 A:is to B:at A:is to B!every

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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.

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「I|次の文を読んで、あとの問いに答えなさい。( wのついた語は文末に注があります。 ns Sitting in the consultation room of a charming cosmetic surgery clinic in Washmgo. D.C., Hudson Young removed his mask under the satisfied gaze of his doctor. Like a grownns number of Americans, Young decided the right time to undergo plastic surgery was middle of a coronavirus pandemic, He knew he would have time to recover in the privacy ot his own home. The main reason, however, was that Young suddenly found himself face to face with his own image while participating in an increasing number of videophone and web A 「Its something new when you have to stare at your face for a couple of hours a day and there's only so much you can do with good lighting and good angles," Young said. The 52-year-old real estate agent had allready been a fan of cosmetic surgery. He had face lift, eyelid surgery and laser resurfacing for the first time in October. "When you see yourself on Zoom, you are shocked," he explained, as Dr. Michael Somenek examined his w barely visible scars. Young is far from the only one who has found himself disappointed with the reflection he has seen in the screen over the past year. Virtual consultations for cosmetic procedures have risen 64% in the United States since the beginning of the COVID-19 pandemic, according to the American Society of Plastic Surgeons. “We have seen an increase in the number of surgical cosmetic procedures that are directly related to Zoom," said Somenek, who has seen a 50% to 60% increase in customers. “I think the pandemic B has given everyone time to take care of those things that we've been putting off until later," explained Ana Caceres, who was able to work from home after C a plastic surgery operation she had wanted for a long time. She recovered at. her parents' house outside Washington after a December cosmetic surgery that helped her D deal with a source of insecurity she had had since adolescence. "I didn't have to days off, because I was still able to work from my bed with my lap-top," the 25-year-old said. “When life is going on and you have places to be, it's s0 easy to put things off," Caceres said, showing off a dress she says she now has the confidence to wear. And she has scheduled more cosmetic surgery. Her surgeon, Dr. Catherine Hannan, says consultations at her clinic in the IIS comit1 E have nearly doubled since the beginning of the pandemic. "Our patients have more lines because the last vear has been so hard. A face or boay change can have a psychological

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13 問7 We'll be able to reach the mountain top noon. O) by until の while on 問8 Mike kindly offered to help me 14 with the problem. O belong の) deal to agree の to talk 15 問9 This bridge ( A ) be repaired ( B ) fifth ; 0 A:is able to B : at の A:is able to B:eyery 3 A:is to B:at A:is to B:every