(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

赤く印したところ同士が同じものを示しているのはわかるのですが、なぜA×Bがこれらの式で表せるのかわかりません。なぜですか

5) A= Ai+Ayj+A,k, B= B,i+Byj+B,k ならば A×B= (A,B,-A,B,)i+(A;B.-A,B.)j+(AzB,-A,B.k (2.1) 5)は4)を使って示すことができる。 行列式(2-4 節で述べる)の記号と思いれば, ペクトル積は、 |4, A, j+ Bs |Az A |Ay A.| B。 Bu A×B- B, B。 三 i j k (2.8 =| A』 A, A,

この問題は自分でf(x)を求めて積分するという解釈で合っていますか？教えて欲しいです、よろしくお願いします

(1 point) You are given the four points in the plane A - (8,-2), B- (10,6), C = (12,-5), and D = (14,6). The graph of the 14 function f() consists of the three line segments AB, BC and CD. Find the integral | f(z) da by interpreting the integral in terms of sums and/or differences of areas of elementary figures. 14 f(z) da = 8

模写した絵をclearに載せるのは、ダメと聞いたのですが、URLとか貼ったら大丈夫でしょうか？

ここでFromが不適切な理由として、fromは現在完了の文には使われないという解釈でいいのでしょうか。

10:38 90 82% カテゴリ:語法(?) - retiring from Smith Computer Technologies two years ago, BilI Smith has been devoting more time to charity events. (A) When (13%) (B) Since (76%) (C) Already (4%) (D) From (8%) 0501 56. 正解(B) 空所後からカンマまでが名詞のカタマリ(動名詞 句)。これを、カンマ後の節につなぐのは前置詞。前 置詞(B) (D) のうち、文意が通るのは (B) Since (~以 来)。接続詞の (A) When には、直後の〈主語+be 動詞〉を省略して分詞を伴う形があるが、ここでは時 制が合わず不適切。(C)「すでに」は接続機能を持 い副詞。 次へ ロ つ左流にー Cmith amniitar Tanhnla 4t日 0:00 0:00 3 3 x0.8 Aa メモ追加 辞書検索 MY単語追加

英検準1級の英作文の添削をお願いします。見にくいところがあれば言ってください。 Points Effect on work Social lives Shared interests Personal relationships

Date No. Topici Agree or disagree : The Internet has made people mere Sacialy isolated I disagree with the idea that the Irntenet has made people more- Socielly isolafed.T have two ressons to suppoct my opinon 8 in terms of shered interests and personal relationship. Fist. people Can Cantact with other peple who have same a interests, For exaple. peaple search other people and share a lot of inforermtion aboust their interests. It is impor tant 10 tor them to erevbt from i solation. Second pesele ron keep in tauch with other people esily. 10 For instence, worker contact wirth other workers on the Internet lo wehon they are diferent place each other. I think pegple (0 who can Connect the Internet would not be iselated. a For these reasons, the Intemet has not mode people more Socialy isalated

早稲田大学法学部2014年の問題の質問です “How was the movie last night,by the way?” “It was a little bit scary,but really impressing” という文章でimpressingを使うのは誤... 続きを読む

英検準1級の英作文の添削をお願いします。 Points Construction costs Effect local people Spending by visitors The environment

Date No. Topic: Is it a good idea tar local govegnments to build touist sires, Such as theme parks and museums? I think it is nota good idea for local (3 governments to build touriT sites, sach as theme parks and museums. I have two reasons 7 to support my opinion in fems of construction Costs and the envinanmant. fist, bilding taurist sites Cost alot. For erample, local garernents shodd buy vast soil To bild taurist sies. Maay loal (6 govemments do net have rmuch raeonty because they have a lot of a things to 'de for local peple, so it is diffi ault to bil tourist sites. (2 Secende it is not good for the environment. If tourist sits are bilt, the envionmert would be boken down such as 破増さんら deferestation. I think proterting the_ environment is more inportant ? than building tarist sites. For these reasons, local goverments should not build tovist sites. la a

英検準1級の英作文の添削をお願いします。

Dat: No. Topic. Ague discgre There, sthould be stricter censership of the Intenet ar I I agree with the idea that there should be stricter censorship of the Intemet.I have two reasons to support my opinion in Terws of 14 secwity and viclence. First, the Intenet secarity shauld be high quality. Many people Contuse the Internet Virus these days, o the Internet secmrity have to be enbanced to protect the computer from virus. It is important for people To use the Compiter mae Contoctabdly. Secand. the rurdber of ballying is incensing on the Intemet For esample, o person is bullied on twirer by Bullying pople do not be krowm their name Tn public. other people いじめト々 Jepanere government have to make a new law to purish these people, For these reasons, consorshipothe Internet should be strit.

英検準1級の英作文の添削をお願いします。見にくいところがあれば言ってください。

Date No. Topic: Agre or disage : Lite in Japan is becoming more strertal I dsagee with the idea that lüfe in Japan is becaming more strest.l. I have two rensons to support my opinion in terms of househald applianes and health Firt, hausehold appliances are becaming more usetul so Our lives will be convenient. for erample, there is an auto cleaner. We do not have to clean aurselves because auo cleaners can clean theicelves. Thanks to them, we can have free time a to rest. 2 Secnd hedty focd is increosing these doys, s0 the nunber of peple have an illnes decrease. If we have an illness, we will not die e medical Technelogy is better than pact. It is goad for us to live Commericanly. becans 3 For these resons, life in Japan is not becoming. more stresstal.