学年

質問の種類

Clearnote

トークルーム
Q&A
公開ノート
教科一覧
塾選び
数学 大学生・専門学校生・社会人

(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

解決済み 回答数: 1
英語 中学生

わかる方教えてください

Ill write about myself and my family. My name is Yamada Seiko, a fifteen-year-old 5 I'm happy to know that I'm going to stay with you next month. My teacher told this My father isa doctor. He goes to his hospital by car. He is very busy in the hospital, I also enjoy listening to popular music. I like to study English the best, so I want to high school girl student. My hobbies are playing tennis, playing the piano, and cooking. 吹の手紙文を読んで、あとの問いに答えなさい。 /100 各2112点 November 10, 2015 Dear Mr. and Mrs. Smith, news to me yesterday. So I'm writing to you now. uay it harder in America. I'dlike to teach English at a college some day. 各4[16 点 20 ne can't come home earlv. My mother doesn't have a job, but she iS very Dusy cause she must do many things at home for us Idon't have any brothers or sisters. y parents love me very much. I think thev will miss me a lot when I leave Japan. Im going to come to see you soon. I really want to meet you. Yours, Yamada Seiko 15 (注)myself: 自分自身 fifteen-year-old: 15歳の college:大学 miss:~がいないのをさびしく思う 各4[16点 (1) 本文の内容について, 問答文が完成するように, に適当な語を書きなさい。 口 What sports does Seiko play ? 口D Where would Seiko like to teach English some day ? ロO How does Seiko's father go to his hospital ? 口O Does Seiko have any brothers ? 各4[8点 |2) 本文の内容に合うように, 次の文の D Seiko に適当な語を書きなさい。 to high school. 口D Seiko is old. 口O Seiko's father isn't to come home early. O Seiko's mother do many things at home for her family. 3 本文の内容と一致するものを, 次のア~オから2つ選び, 記号で答えなさい。 ご書きなさい。 「8点) ア Seiko is going to visit America next year. イ Seiko likes listening to popular music. ウ Both of Seiko's parents have jobs. I Seiko's parents don't have a son. オ Seiko's parents will feel happy during her stay in America. - 149 -

解決済み 回答数: 1
物理 高校生

この（2）の、物体と板のそれぞれの運動方程式を立てるとき、板の方はどうなるか教えてください。

00 |4| 下図のように、下端を床に固定した目然長の戦v*は4d し 載せている。ばねCのばね定数をkとする。また, 物体Aの質量を m, 台Bの質量を Mとする。物体 A, 台Bが一体となってつり合いの位置 O を中心に, 鉛直方向に単振動をさせる。点O を原点とし, 図のように鉛直上向きをx軸の正の向きとする。重力加速度の大きさをgとする。 (1) 物体 A, '台Bが静止しているとき, 自然長からのばねの縮みはいくらか。 (2) 物体 A と台Bが鉛直上向きに加速度 aで上昇するとき, 台Bが物体 Aを押す 力の大きさ Nを求めよ。 (3) 加速度 aを台Bの座標xの関数として表せ。 (4) 台Bが物体Aを押す力 Nを,台Bの座標×の関数として表せ。 (5) 台Bが最高点に達したとき, 台Bが物体Aを押す力 Nがちょうど0になった とする。このときの単振動の振幅 doを M, m, k及びgで表せ。 x A Ym Bm

解決済み 回答数: 1
< 前ページ
81/218
次ページ >