マーカーのa(k)はa_H(k)をあらためてa(k)と置いてるということですか？

Xしていく: p) == a'(p)|0), |p,p2) = a'(pi)a'(pa)|0), このようた 態全体は,個数演算子·運動量演算子(I.8節)の固有ベクトル系と」 場の演算子の時間発展を生成消滅演算子によって表現するために,ハイゼン 完全系を構成する.より詳しく言えば,{|0), Ip.…pn) }(n=1,2,.. は,基底として一つのヒルベルト空間(Hilbert space)を張ることにから 量子力学·場の量子論で重要な役割を果たすこの空間と基底は,それぞ。 フォック空間(Fock space),フォック基底(Fock basis)と呼ばれている 必要な手続きは以上だが,上記 (3) には重要な事実が含まれている.すなに ち、{|0), Ip…p,)} が完全系ということは, 任意の物理的状態 ) が n -/IFk, |k,… k,) (ks… k,) (II.31) n=1 =1 と展開できるということである.この展開式は, 「多体系の量子力学と場の量子 論の同等性」も示している.つまり, 右辺の展開係数 (p,.…P,)は, n粒子 系の(運動量表示) 波動関数に他ならず, 従って, )による状態の「場の量子 論的な記述」は,1粒子波動関数, 2粒子波動関数, の総体による「量子力 学的な記述」と同等という訳である。 I.6 場の演算子の時間発展 る ベルク描像に移行しよう. このときゅは 中日(x, t) = e(-o) do(2)e-iH(t-to)

（B）教えて欲しいです😭😭 答えは preserve culture になります。 解説では（7）の2文目と（3）の最後から3文目を参照とかいてありますがそれでも意味がわからないです。

3 次の文章を読んで, あとの各問に答えよ。 (*印の付いている単語·語句には, 本文のあとに [注] がある。) When we go to the library, we read books/*search for and/share information and have a *discussion with others. // Libraries are very convenient places. /The library has a long history of collecting and keeping books. /Books have been an important part of culture. Around 1445 Johann Gutenberg *invented the *printing machine./ Libraries began to collect the hooks *printed by the printing machine, and the number of libraries grew./ Now some libraries have begun to *digitalize a lot of books. Some people say most of the books will become digitalized *data/ When 声った all the books are digitalized, what will the future of the library be? / Some even say the library will disappear. Will that really happen? To answer this question, we first have to see how people have digitalized books. We can say the idea of digitalizing books began with Michael Hart in 1971/ He was able to use an expensive computer,/so he thought he could do something good for other people by using it. A computer can keep a lót of data/and it can search for the data in a very short time./When the computer has a lot of digitalized data from the books, these data become an important part of culture. / Michael Hart thought that people would use these data as they like, His idea became a *project. /He couldn't digitalize books which had *copyright, so he digitalized books which were *in the public domain and collected them in a computer./ People were able to read the distalized books without *paying any money. Hart named his project “Project Gutenberg," |He thought his project was as important as Gutenberg's printing machine, because the printing machine also spread knowledge 知識てめる all over the world. / Project Gutenberg continues even after Hart died in 2011. Now you can read - 4

真ん中の問題わかる人いたら教えてください。

演算練習pdf 論理式 X 【ブール代数】論理式tの全記号と公 × C 白 https://chibacedjp.sharepoint.com/sites/21_19/DocLib/論理演算練習 pdf 同期していません Q D ページ表示 A 音声で読み上げる| マ手描き 豆強調表示 (3)X=A+B+I 消去 -解答群 ア.X= A イ、X=A.B ウ、X= B エ.X= A.B オ、X= 0 カ、X=1 キ、X= A+ B ク、X= A+ B 問1 次の論理回路と同じ結果となる論理式を解答群から選び,記号で答えなさい。 A- B 解答群 ア、X= A+B イ.X= A.B +A.B ウ、X= B エ,X= A.B+A.B オ、X= A 間1 論理式X=A+B と同じ結果になる論理回路を解答群から二つ選び,記号で答えなさい。 解答群 ア。 イ. A A D B B エ。 049 pここに入力して検索 日 14°C 雨 G あ ロ 2021/10/20 HIBA O ONKY NO PGAE F12 NS | F8 ト FAロ F5 |F7 F9 F10 F11 DEL F6 ゆ よ を NUM LOCK え お や BACK あ 0 - ほ SPACE 14 16 7 8 ゆ 9 よ わ Aへ ふ 3 あ う 5 え お や W T 「Y U 0 P 7 8 R ENTER い す か ん な に ら せ HOME て い S G H J K り れ ;け 1む し は き く ま の N M く X C /V B SHIFT ↑ み も ね る め END つ さ ひ 11 すy コ

(ii)と(iii)がどうしてこうなるのか分かりません お願いします

b. [1+] Let t(n) be the number of total partitions of n, as defined in Exam- ple 5.2.5. Let g(n) have the same meaning as in Exercise 5.26. Deduce from (a) that g(n) = 2"t(n) for n >1. c. [2+] Give a simple combinatorial proof of (b). 5,37. a. [2+] Let 1=D po(x), pi(x), be a sequence of polynomials (with coeffi- cients in some field K of characteristic O0), with deg pn=n for all nE N. Show that the following four conditions are equivalent: ) Pn(x + y) =DE>o (") Pe(x)pnーk(y), for all n eN. (i) There exists a power series f(u)=aju+azu'+ E K [[u]] such that と P(x)- un expxf(u). (5.110) n! n>0 仮定 NOTE: The hypothesis that deg pPn=nimplies that aj ¥ 0. () E20 Pa(x) = (E>0 Pn(1)). (iv) There exists a linear operator Q on the vector space K[x] of all poly- nomials in x, with the following properties: ●Ox is a nonzero constant ●Qis a shift-invariant operator, i.e., for all aeK,Qcommutes with the shift operator E4 defined by E® p(x)=D p(x +a). ● We have Qpn(x) =D npn-1(x) for all n e P. NOTE: A sequence po, Pi, .. . of polynomials satisfying the above con- ditions is said to be of binomial tvpe. The operator Q is called a delta

わかる方教えてください

カからの留学生ベン(Ben)の対話文を読んで,あと Ben:Oh ! Do you like this, Jiro ?I。(get ) it at my friend's garage sale( 3 ) Jiro : Then a garage becomes a store. Ben:In the garage of a house, we sell old( ) used things. People go there and 5| Jiro: Well, we have flea markets. In an Open space like a park, people sell various things. Ben:Isee. We often throw away old things. I think we are wasting a lot. Jiro:I think we must use things more carefully and try to use them again. s2[8点) ミなさい。 Jiro : Ben, ( nice / looks / your / bag). November. Jro : Garage sale ? What's that ? 三なさい。 buy things. My hob! Ben: Is there anything like that in Japan ? 10 Ben :I think so, too. Recycling is very important. (注)garage :車庫,ガレージ [20 点) sale:販売 sell:売る used:中古の flea market(s):フリーマーケット throw away: 捨てる various:さまざまな waste:浪費する recycle:再利用する 口(1) 下線部①が意味の通る文になるように, ( )内の語を並べかえなさい。 Ben, 口(2) 2の( )内の語を,内容に合うように適当な形に直しなさい。 3, ④の( )内に最も適する語を, 次の語からそれぞれ1つずつ選んで書きなさい。 口3 at for on with in about 口の but or and after when if 口(4) 6の 内に最も適するものを,次のア~ウから1つ選び, 記号で答えなさい。 ア That's sad. イ That's right. ウ That's too bad. [8点] (5) 6の open space の意味として最も適するものを, 次のア~エから1つ選び, 記号で答えなさい。 ア 広大な宇宙 イ 大きい地球 ウ 広い場所 エ 開かれた世界 (6) 次の文で, 本文の内容に一致するものには○を, 一致しないものには×を書きなさい。 ベンはすてきなかばんを店で買った。 □0 二郎は, 私たちはもっとものを注意深く使うべきだと考えている。 2点) □© ベンは再利用することはあまり大切だとは思っていない。 ① 私たちは古いものをよく捨てる。 6次の(1)~(3)の状況において, あなたならどのように言いますか。それぞれ英語で答えなさい。 各4 [12点] 71) 自分の姉は英語を勉強するためにニューヨークへ行ったと言うとき。 |2) 何か食べるものがほしいと言うとき。 03) 宿題をもう終わらせたかと相手にたずねるとき。 : 147- ロ ロ ] ] コ ロ ロL

スペースがない　と言う時に、「there is no space」と書いたのですが、解答では「there are no spaces」になっていました。 単数系では使えませんか？

下線部➃及び➄はなんのことか。 それぞれ上記本文中2語で答えない わかる方教えて欲しいです、、

II. 次の英文は、Lesson5 についてのものです。 それぞれ設問に答えなさい。 のみなさんは学校でどんなコースを取っていますか Obihiro Agricultural High School has courses such as Agricultural Science and Dairy Science. 2 Most of the students at this school have specific goals for the future. The students in the Dairy Science course take care of cows, pigs, and other animals from. morning till night. TheyA) food the animals, clean their B) live spaces, and check their health. Although 3) it is hard work, the students enjoy C) take care of their animals. During their school life, the students often face the D) life and deaths of their animals. For example, they attend their animals' E) delivery. Later, they must say goodbye to the animals when Othey sell (5them. ⑥ Through these experiences the students learn about responsibility and realize the true value of life.

並び替えわからないです！ 教えてください🙇🏻‍♀️

has lite de (帝塚山学院高) She's looking for く九州国際大付高) 時に ( is very interesting. あなたはこの本を書いた人を知っていますか。daionort dut otw Do (this book/who/you /wrote / know/the man )? (東海大付第四高) gota Do_ T5 臓器移植を必要としているたくさんの人々がいます。 no1a A * organ transplantation 臓器移植 (香川) (people / lots /who/there/ need / are / of ) *organ transplantation. who thiml guid organ transplantation. 3) 私たちにのをてそのは, とてもです。

ELEMENT2 lesson3のページです。Cのリスニングの解答わかる方、教えて欲しいです

B Reading for details : Fill in the blanks with the words in the box below, and then choo, To Comprehension, daLbaboan d Vocabulary Reading for main ideas: Choose the best answer. orfw tong 00g 1. What is the main idea of the passage? A Choose the correct SS a 1. The report he m space. mitaoo poY 2. I felt an overw ©A professor kindly agreed to let a promising teenager use his lab 2. Teenagers can make the world a better place by @ living up to their uncle's words bgetting a lab to carry out experiments working hard and going through many trials 3. Although there out his plans. 4.I am disappoir 5. It takes a lot c SS the correct title for each part. C d > Pancreatic cancer tends to be diagnosed too late due to poor detection (1. >A high school student named Jack Andraka decided to come up with a 1 way to detect it when his close friend (2.g1 ) the disease. Part 1 B Choose the c > Jack found a database of (3 Protelns number of proteins to be checked was no less than 8,000. S which are related to pancreatic cancer, but ih 1019o6 1. I'm sorry, Part 2 > He went through the list one by one and found a protein that can be used o. (4.moyke) to detect the cancer. 2. They were 3. Most peo > Jack wrote to 200 professors and asked them to let him use their lab space fr further experiments, but almost all of them (5k0eyhis request. Part 3 (よ) anterected. C Fill in the > One professor was (6. in his plans and invited him for an interview. > Jack managed to answer all the (7. 0esting 1. There w , Ther ) asked at the interview and gu space in a lab. > Several months later, he successfully came up witha new detection method which is faster, cheaper and more (8. new method. 一→ Part 4 dnie 2.I found →I ca ). He changed the world with the accurceと 3. It tool Titles → Itt Words 9 O Finding the Marker Protein D His Success and a Great Detection Method 4. I am interested / proteins / accurate got / questions / rejected marker / methods →I © Jack Andraka's Decision © Trying to Get Lab Space 5. She c Listening for details : Listen to the statements and answer T(true) or F(false).. Tips pa D Retelling the story : Look at the pictures on pages 48-49, and retell the story. 味で 52 A Teenager To Change the World 8-

答え教えて欲しいです🙏

【2】 次の日本文に合う英文になるように、( )内に適語を入れなさい。 箱の中にはオレンジが少ししかない。 There ( ) ( ) (リ) ( )( ).(早大学院) ロンとアリスは私の親友です。 Ron and Alice are good ( ).(慶鷹志木) -20-