学年

質問の種類

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

未解決 回答数: 1
英語 中学生

問5の問題で、解答にはHe decided to give her all the pictures.と書かれているのですが、decided toを入れなくても丸になりますか?それとも減点ですかね? (関連の文の部分は左ページのシャーペンで引いてある箇所です🙇🏻‍♀️)

Ar Miller: Wow, that's interesting.( Mr. Miller:That's a nice dream. I'm sure your speech will be a great one. By the way, how 5 次の(質問]に対して、[条件)に従い,まとまった内容の文章を5文以上の英文で書きなさい。 * Akiko heard Mr. Miller s speech today in her class. Miller: Hi, Masao. How was your speech ? ア Mr Miller helped Akiko when she prepared her speech. 6 会話の中で,Masao は将来どのようなことをしたいと述べていますか。日本語で具体的 What did Masao decide to do for the little girl when he started to leave the waiting room keep all these pretty pictures." Her mother said, “Thank you very much. You are crying, Iwanted to do something for her. but I didn't know what to do, I didn't 8 次は,後日の Masao と Mr. Miller の会話です。自然な流れになるように,( )に適切な doctor. I sat next to a little girl and her mother. At first, the mother read a book. No, she didn'tt SoI drew one more picture for her, and she finally stopped crying. Ithink she was just very tired. Her mother tried to take care of her, but she kept *ignore her, so I drew a picture of some animals on a piece of paper and After a while, a nurse came to tell me that my aunt was ready pictures you gave me at the hospital," and she showed them to me. I was very Thank you. I was giad to make someone happy with my pictures. She said, "Draw some more !" I drew many more pictures to show her. She was ウ Masao is going to talk about working as a doctor at the hospital in his class. IMasao will tell his aunt about his dream when he sees her next time. 会話の内容と合うものを,次のア~エの中から1つ選び,その記号を書きなさい。(4点) (内のすべての語を正しい順序に並べかえて苦きなさい。(4点) 空間LC」にあてはまる適切な1語を,本文中に使われている語の形を変えて書きなさい。 So I decided to give her all the pictures. She smiled happily and said, "Thanks! TM I'm thinking about it. Actually, I want to draw pictures for children's books in the She's fine now, thank you. The doctor says she can come back home next C Akiko: Was she sick? (3点) Masao: hospital ? want to at the showed it to her. Mr. Miller:Did she stop crying then ? 書きなさい。(4点) Masao: happy to see them. to see me, and I started to leave the waiting room. Then the gurl looked very saa so kind, and your pictures are great." Mr. Miller: Wow, that's a wonderful story ! oletali insrllisoi alittle nervous, but I did well, thanks. By the way, I saw the little girl Masao: Masao: You're very good at art. Do you want to work as an artist ? oda and her mother yesterday. Akiko: Masao: the convenience store near my house. The girl said, "I always carry the future. Masao. is your aunt ?Is she OK ? happy to hear that. Masao: Monday. Mr. Miller: Im happy to hear that. Did you tell her that story ? 10点) Masao: Not vet. But when I see her next time, Tl tell her what happened ot u. 開) Which do you like to do in your free time, stay at home or go out ? ル) 0 1文目はIlike to に続けて,(質問]に対する答えを解答欄の①に書きなさい。 の 2文目以降は,その理由が伝わるように, 4文以上で解答欄の②に書きなさい。 hospital. Akiko: I think she'll be glad to hear that you've found your dream. s Masao: I hope so. 【注) miss ~ ~を聞き逃す prepare ~……~を準備する homeroom teacher……担任の先生 professionalism… プロ (専門家)意識 until recently……最近まで Communicate…理解し合う happen…起こる 送を聞いて答える問題台本> ※「チャイム」 after a while…しばらくして ignore ~………~を無視する cfr di コ よ よ7 面 1i

解決済み 回答数: 2
英語 中学生

答えお願いします🙇‍♀️🙇‍♀️

I 以下は,まさる (Masaru) さんが書いた英文です。これを読んで, あとの問いに答えなさい。 Do you know the word “Luddite"? This word means a person who is against technological change. My grandmother, Kimiko, is 74 amd lives alone in Tbkyo. Our family ives in Osaka and we Sometimes visit her house. When we visited her house last summer, she showed us a beautitul box. There were many cards init. They (1) send by our family on her birthday. Kimiko said, “I have kept these for a long time and this box is ike a treasure box to me.” She was a kind of luddite before. She did not like technology. She had a cellphone, but she did not want to use such tools. She liked sending letters or cards more than calling. )my( But one thing has changed Kimiko'gmind this year. (2)Because ( )C we( )C )her house this year. So, we planned to make a video- call to her. It was the firsttime for Kimiko. We called her and talked on the phone (video-call) foralmost an hour. She got very excited and looked so happy all the time. After that, she said that the video-call we made was wonderful. She could see our faces very clearly. She also thought that she wanted to use it more. My grandmother, Kimiko, is no more a uddite now. technology is a good thing because it is good to use some( when we need. She still needs time to be able to úse technology every day, so I will keep sending her a birthday card and sometimes make a video"call, too. She islooking forward to that. Now she has started to think that 3 )Hke cellphones or video-calls technological 先端技術の cellphone 携帯電話 (注) luddite 先端技術が嫌いな人 against ~に反対して change 変化 technology 先端技術 no more もはや~ない video-calls) テレビ電話 1 下線部(1)を, 正しい形に直しなさい。 2 下線部(2) が, 以下の意味を表すように ( 「父の仕事のせいで, 今年は彼女の家に訪問することをあきらめなくてはいけなかった。」 )に最も適切な英語を1語ずつ答えなさい。 Because ( this year. )my( )her house (3 )に入る適切な英語1語を, 文中より抜き出して答えなさい。 4 本文の内容に合わないものを次のア~オから2つ選んで, その符号を書きなさい。 3 ア Kimiko wants to use her cellphone a little more often. イ Kimiko was happy though she couldn't see the faces clearly when they talked on the video-call. ウ Masaru's family tried to make a video-call to Kimiko, but she didn't aggree with them. エ Masaru will not only send a card, but also make a video-call to Kimiko. オ When Kimiko had a video-call for the first time, she got excited very much.

回答募集中 回答数: 0