In turnってつまりと訳しても大丈夫ですか？

基礎英文解釈100の演習55について。 Prepare the reader with some introductory hints, then tell the full story, so your letter won't give the impression ... Read More

afterwardとsubsequentlyの違いは何ですか？

数列の極限の極限の求め方が分かりません。

(1) 数列{an} を an = 1 n(n+1)(n+2)(n+3) n Sn=ak とおく。 このとき, Sm の極限を求めよ。 k=1 3 無限級数 10g102 + log102+log10g n+1 (2) + + log10 n の収束・発散を調べて, 収束するときはその和を求めよ。 (n = 1,2,3,…) により定め、 4 ...... ・+

この並べ替え(一語不要)を教えていただきたいです🙇‍♀️

When scientists talk about sequencing the human genome, they have been talking so far (a / about / as / composite / creating drawn from / picture) the gene sequences of many people. That has now changed for good. Recently,

successionalとsuccessiveの違いなんですか？

写真中央の"It would be..."の1文の解説をお願いします。 意味は「何らかのの生活手段を全員に与えることの方がはるかに理にかなっている」なのですが、よく分かりません。使われている熟語とかを説明していただけると助かります。

Is It Time for Universal Basic Income? In 1516, Sir Thomas More wrote Utopia, a novel about the political and social systems of an imaginary ideal nation. More addressed the issue of poverty by having one of the main characters exclaim, "No penalty on earth will stop people from stealing, if it's their only way of getting food.... It would be far more to the point to provide everyone with some means of livelihood." Over 500 years later, income inequality and economic insecurity are still major problems, having become deep-rooted consequences of modern capitalism. This situation has inspired some economists and political strategists to look to More's Utopia for guidance.

印をつけたwhereは関係代名詞であってますか？だとしたら先行詞はどれか教えてください🙇‍♀️🙏

6 More and more doctors and medical students from Western countries are joining programs where they spend a few weeks volunteering in a less developed country. The problem is that sometimes their eager to help can have unintended negative consequences for that country.

2つ程質問をさせてください。 ①〈前置詞+関係代名詞〉は〈関係副詞〉に置き換えることができたかと思うのですが、今回だと適切な関係副詞は何になりますか？ ②関係代名詞で繋げる前の文（赤線部）の訳（特にforのはたらきと訳し方）について教えてください！

2 Well it is only going to be possible with creatures / for which we can recover a complete genome sequence. 「再生する、回復する」 それに対して我々が完全なゲノム配列を復元できる 実は、それは(~できる) 生物の場合だけ可能性がある (文構造) Well, (S)it (V)is only going to be (C)possible with creatures [--]. t関代[for which we can recover a complete genome sequence」 実は、可能性があるのは [完全なゲノム配列を復元できる生物] の場合だけだ。 *itは前文を受けて、 「絶滅動物をよみがえらせること」 を指す。 > be possible with creatures の with は「~に関して、~について(は)」と〈関連〉を表す用法。 ex. Such mistakes would be impossible with trained medical staff. 「そんなあやまちは熟練した医療スタッフにはありえないことだろう」 > for which we can recover a complete genome sequence は creatures を先行詞とする関係代名詞節。we can recover complete genome sequence for creatures → creatures for which we can recover a complete genome sequence

(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