(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

この長文がどんな話なのか理解できません😥 出来れば段落ごとに要約して頂けると助かります😔 よろしくお願いします!!!!!!!!!🙇🏽‍♀️🙇🏽‍♀️

We are,(to a remarkable degree, the right distance from the right sort of star, one e 5 of ten billion and we wouldn't be here now./ We are also fortunate to orbit where we that is big enough to radiate lots of energy, but not so big as to burn itself out swiftly t 1s a curiosity bf physics that the larger a stor the more rapidly it burns. Had our sun Ocen ten times as massive、it would have evhonsted itself after ten million years instead of do. 1o0 much nearer and evervthing on Farth would have boiled away. Much rarther away and everything would have frozen. の14 m 1978, an astrophysicist named Micheel Hart made some calculations and Concluded that Earth would have been uninhabitable had it been just 1 percent rartner That's not much, and in fact it wasn't enough. percent 10 from or 5.percent closer to the Sun. The figures have since been refined and made a little more generous 5 nearer and I5 percent farther are thought to be more accurate assessments 1oI om zone of habitability - but that is still a narrow belt. To appreciate just how narrow, you have only to look at Venus. Venus 1s only ©10 15 twenty-five million miles closer to the Sun than we are. The Sun's warmth reaches it just two minutes before it touches us. In size and composition, Venus is very like Earth, but the small difference in orbital distance made all the difference to (3)how it turned out. It appears that during the early years of the solar system Venus was only slightly warmer than Earth and probably had oceans. But those few degrees of extra 20 warmth meant that Venus could not hold on to its surface water, with disastrous consequences for its climate. As its water evaporated, the hydrogen atoms escaped into space, and the oxygen atoms combined with carbon to form a dense atmosphere of the greenhouse gas CO2. Venus became stifling. Although people of my age will recall a time when astrononmers hoped that Venus might harbor life beneath its padded 25 clouds, possibly even a kind of tropical vegetation, we now know that it is much too fierce an environment for any kind of life that we can reasonably conceive of. Its surface temperature is a roasting 470 degrees centigrade (roughly 900 degrees Fahrenheit), which is hot enough to melt lead, and the atmospheric pressure at the surface is ninety times that of Earth, or more than any human body could withstand We lack the technology to make suits or even spaceships that would allow us to visit Our knowledge of Venus's surface is based on distant radar imagery and som。 disturbing noise from an unmanned Soviet probe that was dropped hopefully into the

英語の訳出についての質問です。 この問題の回答は 「それに伴って、民族間の暴力や深刻な経済破綻が起きた場合にのみ、それは生命を脅かすものになるだろう。そしてそのような壊滅的な出来事は政治的独立が失われた結果避けられないものではない。」 となっています。 正直意味がわからない... Read More

*次の文章を和訳しなさい。 4. Only if, it were to be accompanied by ethnic violence or severe economic pVsm eriy oi lovs tw collapse would it be life-threatenind, and such disastrous events are not an S V2 inevitable consequence of the loss of political independence. SC (みんともなかていA後の表かや食い症済徴受が くるて,4海の育成にカり,この よう ? 微壊的弘業具消政治的 自iョ表気す のるみなの税果ではなくなるったろう。

()内をならべ変えて欲しいです。 並べ替え問題が本当に苦手で必ず落とすのですが、どうすれば確実に伸ばせますか？

3 次は,中学生のShinya が書いた英文です。 これを読んで、 間1~問6に答えなさい。*印のつい る語句には, 本文のあとに[注]があります。 (18点) Last Sunday, I went to popular movie, so Yuji and I were very excited. see a movie with my friend Yuji. It was the *sequel of a We were going to meet at the *movie theater at noon, nave lunch at a restaurant near there. and then watch the movie at 1 p.il. That Sunday morning, I got up at seven. A After breakfast, I did my homework. house by bike. math It takes about twenty minutes to get to the movie theater from my So 1 was going to leave home at *around 11:30 and ride my bike there. B |C But then I(find )that it *hada flat tire. I was *upset. I had to walk to a bike shop with my bike, and then I went to the theater *as soon as I *got it repaired. I ould not tell Yuji about this because he didn't have a *smartphone. It was already 12:40 when I arrived at the theater. Yuji saw me and said, Shinya, ure ( )! Now we don't have time for lunch." He arrived there at 11:40. I thought was *angry, so I said, “Im very sorry, Yuji. My bike had a flat tire. Let's watch the vie first, and Ill buy your lunch after that." Then he said, “That's nice, but you don't e to do that. Let's get some food in the theater and eat it during the movie." The movie was amazing. [ that / enjoy / was / could / glad / we / I ] it in the big rer. And the food there was good, too! boog movie theater…映画館 have a flat tire………タイヤがパンクする ~するとすぐに sequel………続編 around ………~頃 as soon as

波線部はどうして倒置になるのですか。 教えてください。

の Those of us who live in towns have learned to adjust ourselves to some degree to the kind of overcrowding which seems to be an inevitable consequence of city life; 2 but, the closer we are packed, the more easily resentful of each other do we tend to become. 3(a) It is probably on this account that many peonle find life in cities irritatino and exhausting. since

下線部Aを日本語訳しなさい。という問題なのですが、解答が『ある種の知覚による2つの知覚作用がごく短時間に連続して行われている間に、別の種類による知覚作用が行われていること』と言うのが答えなのですが、この答えになるように訳せないのですがどなたかお時間ある方お願いしたいです🙏🏼

夏がくトなの行動の中 millisecond (thousandih’of a secónd). Nevertheless, it still provides an eft Our awareness of the sequence of events depends on the sense with whi1ch we も菓を行う We find it difficult to pldce/a sensation of one kind (say, Visual) 12 perceive them. between two of another kind (say, auditory) if the latter are in too close succession) ? But if we had some direct perception of time itself, then the nature of the particular sensations determining the intervals concerned would be of no particular significance. 、Thus it is not time itself but what goes on in time that produces effects. Time is not a simple sensation/but| depends on)processes of mental organization uniting thought and action. (H.8 神戸市外大)

この問題が分かりません💦 解説お願いします🙇‍♂️

l m ie (1) I watched some movies on TV last week.( ) い で []次の各文と同じ文型の文を, ア~オから1つ選びなさい。 (2) My brother and I stayed home all day yesterday. ( )Heo etoseq (3) They named their son Alex. (4) Yoko is very kind to old people.( (5) My father bought our dog a new toy. ( ) ア He told me the truth. イ Her letter made me happy. ウ We enjoyed swimming last week. エ I was at the convenience store at that time. オ You looked tired after soccer practice yesterday.

22番を教えてください!! 出来れば手がきで解説してください!! (＞人＜;)

5 2次関数のが3点(1, 5), (2, 1), (3, 一7) を通るとき, 1をして, 2の。 連立3元1次方程式の解き方は,次のようになる。 連立3元1次方程式の解き方 1文字を消去して,残り2文子の連立方程式を激。 2文字の連立方程式を解く。 次の関 L 3 残りの1文字の値を求める。 aに 次の連立3元1次方程式を解け。 21 8 0=3+9+D 9=2+ベ+X 4a+26+c=0 x-2y-z=-2 9a+36+c=4 3x+2y-z=12 6 例題 2次関数のグラフが3点(1,5),(2, 1), (3, -7)を通るとき 99 その2次関数を求めよ。 10 1 解答 求める2次関数を y=ax°+ bx+c とする。 OI グラフが3点(1, 5), (2, 1), (3, -7) を通るから atb+c=5 T 4a+26+c=1 22 9a+3b+c=-7 15 3) 15 ②-① から 17 レー =9+DE ③-2 から 5a+b=-8 ④, ⑤を解くと これらを①に代入すると 7=9 7- =1D c=5 よって, 求める2次関数は y=-2x?+2x+5 神 2次関数のグラフが3点(2, -2), (3, 5), (-1, 1) を通るとき,その 20 2次関数を求めよ。

このプリントの(1).(2).(3).(4)が分かりません。 教え下さい。

SO-TAI9-1ASeq 2 受 3 身のまわりの物質について、 下の二つの実験を行った。 次の問に答えなさい。 (配点 25) ケ面 合 実験1】 水とエタノールの混合液を分離するために, 図1のような実験装置をつくっ た。ただし,この実験装置には誤りが一つある。この誤っている部分を修正し,水と エタノールの混合液を加熱した。図2は、そのときの加熱時間と温度計の値をグラフ にしたものである。 図2 賀 山 図1 温度計 120 エ 100 枝つきフラスコ 80 51 エタノニルと 水の混合液 60 40 「ア ゴム栓 20 ()図1 試験管 0 0 5 10 15 20 時間[分) 素焼きのかけら ビーカー 冷水 DD 【実験 2】 図3のような実験装置で, 5℃の水を冷やしなが ら, 温度計の値を記録していった。 き 図3 温度計 氷と食塩 ビーカー 金属の 容器 ( 1 なものを吹のア (1) 図1の実験装置で, 誤っている部分はどこか。次のア~エの中から一つ選び, 記号で 答えなさい。 ア 温度計の先端が,枝付きフラスコの枝の部分にある。 イ 素焼きのかけらが, 混合液に入っている。 ウ ビーカーに冷水が入っている。 エ 試験管にゴム栓がついている。

ここを教えて頂きたいです🙇‍♀️

NG A. Circle the causes and underline the effects in this text. ND CTS Not all reefs begin naturally. For example, an ocean current may encounter a man-made object, like a sunken ship. As a result, the water around the ship may become rich with tiny animals called plankton. A lot of small fish gather there to feed on the plankton. Consequently, larger animals are attracted to the ship. Because the ship has many little openings, many creatures also have a place to hide. In time, the ship becomes covered in polyps. As a result, it no longer looks like a ship at all.