学年

質問の種類

英語 高校生

解ける方答えを教えて頂きたいです

When I waa just a little girl, I realized that my grandmother was a witch. ( 1)that time, was reading atories about Snow White and Sleeping Beauty and (ア) (nbout/1/that'a/witchen /learned/ where) My grandma was good to talk to. In many waya ahe waa your typical grandmother ahe atudied tai chi, and made pottery and quilta. But if ahe wants to fool me(2 ) believing ahe ia not a witch, ahe ahould get rid of her black cat. Only she can touch Satan,and that devil eat's green eyes are really Bcary. Anyway, over the yeara I got into the habit of going( 3 )to mee Grandma after school and telling her all my troubles, I never let her know that I knew her secret and ahe didn't sny anything(4)。 But when I was in my second year in high achool, I ran into a problem. It required a little magie to set right, so I thought I'd aak her straight out. “Grandma, are you a witch? 1 said. "Of course," she said. "I thought you knew." "Do you know how to cast apella and make potiona?" "wDepends," ahe said. "What's on your mind? Is ita love potion you need? "Tell me all about it, Amy" “Well," I said, "you know it's my Year 10 Formal in November, and nobody haa aaked me yet. Id really like to go with Stevo. You know him. He's always lived next door to us. But he goes out with all the popular girla at school and thinka ( 5 ) me as just hia siater." My grandma thought a minute then went into her bedroom. She came back and put a little bottle of red liquid in my hand. “This will fix him," she said. “How can I get him to take it?" “Oh, you're the one ( あ ) has to take it. Three sips are all you'll need. When will you see him next?" “He's coming to my house tomorrow after school." “When he comes, ask him in and take a sip of the magic potion. Then take your shoes8 off and go outside, and jump up and down the path for a minute or so on that pogo stick I gave you." “He'll think I'm crazy. I can't do that." “Do you want him to take you to the Formal or not?After that, come inside and take another aip. Then let that lovely hair of yours out of that ponytail, brush it for two minutes, and put a flower in your hair. After that sit on the floor and take the third sip." “Will that work? Hell think I'm crazy." “Just think positive," said my grandma, "And by the way, don't wear that old pair of jeana and that baggy shirt" Next day I was waiting for Stevo after school. I had on my new akirt and my new blouse. Iopened the door, still not sure if I'd be able to go through ( 6 )the plan. “Where are you off to?" he asked. "Anyway I can't atay long." “It'e OK,"I said looking at my watch. "Tve got plenty of time." And before I knew it I'd taken the first sip. It (4) (the medicine/abit/1/ike /used/tasted) to take when I wasa little ldd. “You sick or something?" he said. 1 just gave him my new Mona Lisa smile and kicked off my ahoes. "Juat a sec," I said. I picked n the pogo stick from the corner, went out the front door, and jumped up and down the path for a while. I saw Stevo looking out the window at me with ama puzzled expression. Iwent back inside and he said, "You all right?"

未解決 回答数: 1
数学 大学生・専門学校生・社会人

大学数学、複素関数論、テータ関数に関する質問です。 写真のテータ関数の無限積表示(5.24)の式の1行目の形にどうやってしているのかと、命題5.22の(5.26)の証明を教えていただきたいです。

(b) テータ関数 ヤコビは楕円関数論の研究において, 次の級数を導入した。 9(2) = 22(-1)"-!g"-1/2)" sin(2n-1)Tu n=1 2(g/4 sin Tu-g/ sin 3Tu+q^/4 sin 5Tu-…). (5.23) 三 これはヤコビの楕円テータ関数(以下単にテータ関数(theta function))と呼 ばれるものの1つである. limd,(u)/2q'/4=Dsin Tu なので, 0,(u) は sin Tu 9→0 の一種の拡張と見ることができる。 伝統的な記号にならって, 以下 2ミe2miu a=2 q= eir, と書こう.gl<1だから Imr>0である. このとき(5.23)の右辺は TiT 2Tiu 9=e 9 2と(-1)"-1gm-1/2)?_2"-1/2 _2-n+1/2 =iこ(-1)"gm-1/2)°n-1/2 n=1 2i n=-00 = ig4z-1/2 (-1)"g"(n-1)z" n=-00 と書き直すことができる.右辺に3重積公式(5.22)を用いれば, テータ関数 の無限積表示が得られる: 0,(u) = iq'4z-1/2(1-2) II (1-g"2)(1-g"z-')(1-g") n=1. = 2q/4 sin Tu I (1-2g" cos 2Tu+g")(1-g"). 三 (5.24) n=1 命題5.22 0,(u) はuの整関数で 0,(-u) = ー6,(u). (5.25) 0 0(u) = 0 < (m,nEZ). 0,(u+1) = -0, (u), 9,(u+t) = -e-mi(r+2u)9, (u). (5.27) u= m+nT (5.26) 0 + 2u) [証明](5.25),(5.26) は(5.24)から簡単にわかる. また前節の無限積

回答募集中 回答数: 0
英語 中学生

英語です!(第2弾) 1問でもいいので教えてくれると嬉しいです! なんもわからんのです(泣けてきた) 助けてくれる方募集!! お願いしますうううあううぅあああぅ!←? m(*_ _)m( _ _)"ペコ

!そもJき管動tinU ! 913 ●ヒント 0 次の英文を日本語にしなさい。こ や ませe (でま T main「主な, 主要な」 Take ouf your eraser. 番英お 、若響ヶ本日赤和意 The is between the gate and the pool. gym V193 DTatetoa bioodlaold 19tepof Here's the main entrance. 999we Wollo) へ ) beaeeigm vbit 次の問いにあなた自身の立場で, 2語以上の英文で答えなさい。 間部 の こさ対の- 金I study で始めても よい。 Where do you study? ラ き |ミスに注意 When is your birthday? 誕生日を答えるとき 古さ天誉お受望日代帯さを音楽>感き量りにはonは使わない。 biooco月の名前 1月(January 2月 February 3月 March 4月、April D-i1-9 5月 May Tod@ When do you usually take a bath? v-ed beaa91q-mi 1② 次の日本語を英文にしなさい。 本エ6月 June 7月 July 8月 August 9月 September 10月 October こちさ格囲ケ〇き号 る異を音楽の暗TO日月(November 12月 December ● あなたはどこでピアノを練習しますか。 一私は音楽室で練習します。 Joorloa edt donul ertt 9onDine ent あなたはいつバスケットボールを練習しますか。 払は月曜日と金曜日の放課後に練習します。すき ()e文の京 S gete uoy ( rlotpW 2 午前中は家にいなさい。 91eri 2eorla UOY @「ピアノを演奏する」 は play the piano。 19VO no ) loorrse uo the を忘れないよう にする。 合 私たちの学校内では写真を撮ってはいけません。 t0 1OVo )) の「~を練習をする」は no ののカフェテリアで昼食を食べましょう。m00ieaplo ertt ni riomui ( practice。 O「写真を撮る」はtake OViee の ④ bLaojice a picture。 VDd tnob ! o Do Apn pane a coubnjets 9no の airt の へ総し いもは

回答募集中 回答数: 0
英語 高校生

お願いします

130. Nancy almost never asks for help - her work, but last week she was so overwhelmed that she did. (A) with (B) for (C) at (D) to 131. Instead of buying a car, you might want to try leasing one by ……… (A) the month. (B) a (C) its (D) this 133. Resumes with cover letters may be submitted by fax, e-mail or conventional mail, but initial inquiries may not be made in -… or by telephone. (A) oneself (B) person (C) self (D) them 107. The thief came out the front door of the liquor store and walked off that direction. (A) at (B) on (C) in (D) to 109. No one is allowed to enter the secret facility without presenting two …… of photographic identification. (A) pieces (B) acts (C) marks (D) parts 125. A lack of long-term planning contributed a sense that the company would run into trouble sooner or later. (A) to (B) with (C) for (D) at 127.…… remain several important issues to resolve, but the negotiations appear to be moving toward a successful conclusion. (A) It (B) She (C) They (D) There 130. Sometimes negotiations break down for unexpected reasons, even when the two sides have respect for one ……。 (A) other (B) the other (C) others (D) another 134. In the early 1990s, the Japanese economy struggled under a heavy bad debt burden, …with the additional problem of slow economic growth. (A) along (B) in (C) on (D) out 135.… thorough market research, it is difficult for a manufacturer to determine how well-known its brand name is, and how people will react to different style changes. (A) Unless (B) Without (C) Other than (D) Outside of 101. The train won't -- the next town for another hour or so. (B) come (A) arrive (C) get (D) reach

回答募集中 回答数: 0