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英語 高校生

TOEICのPart6の答え合わせをお願いします。 不正解のところは解説頂けるとありがたいです。 よろしくお願いします!

Questions 21-24 refer to the following advertisement. Save More at Savings-Plus Shopping at Savings-Plus is cheaper! With the largest number of supermarkets in the Great Plains area, your family saves more by shopping at Savings-Plus. Savings-Plus biys in larger quantities than the smaller chains and we pass the savings on to you with the best selections and the best prices. We know you see far more. deliveries being made at each Savings-Plus storé than at our competitors. 21. Therefore, Savings-Plus food is _------ it can be! Buy non-prescription 22. 23. drugs at our stores, and you'll be sure to take home the best bargains. Shoppers throughout the region flock to Savings-Plus for all their grocery and pharmacy needs. Our competitors may operate DVD rentals or provide dry cleaning services, and that's fine with us. We'l _ them earn money in those areas. 24. But when it comes to your kitchen and bathroom needs, you know you'll find values and unparalleled quality at all of our Savings-Plus stores. 21. (A) frequently (B) frequency 6) frequents (D) frequent 23. (A) Take advantage of the savings, and shop online レ now. (B) Those who'dlike to get something to eat should visit Savings-Plus. B (C) And the savings don't stop in the grocery section. (D) Discount coupons are offered only on select days 22. (A) as fresh as and times. V(B) so fresh that D A B (C) fresher than 24. (A) have (BY get () more than fresh B D (C) let (D) make B D

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英語 高校生

どこか間違えてる部分ありますか?教えてください、お願いします。質問というか確認なのですがお願いしますm(_ _)m

10回 後は演気のため学校を欠度した。 He was absen1 from school because of his sickness . He was absent from schoo1 becanse of his sickness. 『リーはフラン入書がかなり進歩している。 Lily is moking geocd progress- with her French. Lily is making good progress with her French. 3 衆は立ろ工がって幸援を送った。 The audience st00d up andi cheered.. The audience stood up and cheered. 4 n1は 楽レみのためにはく読書します。 I often read I of+en read for pleasure. 5アンディは先生の言ってることに注参を払わなかった Andy hidnt A ndy didn't pay attention t円 6 れは完生にあなたに同意します I absolutely agree with you. I Absolutely agree with you. 9 私は調痛 がレたので年く床に着いた 2 for pleasure. fo what his teacher was saying. what his teacher Was saying pay attention to bed early because I had bed early because I had a headache . headache. went a I 8じのようにしてをの手故が起ったのか調査するべきだ We should exanine how the accident hoppened. We should examine how the accident happened. 9 彼は高 理想 を特つ指導者だった Weht t0 a leader with hghideals . a leader with high ideals. He was He Was 0.そのニュース教者は新しい発見 についてだった The news report was about a new dis covery. The news report was obout a new discovery.

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数学 大学生・専門学校生・社会人

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

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