アから順番に12131であってますか？ わかる方教えてください！！ お願いします！

Earth has two sets of poles: the geographic poles and the magnetic poles. The geographic poles are located at the northemmost and southernmost ends of the earth. The location of the magnetic poles, on the other hand, are ( ア ) moving, This fact has several implications for navigation and transportation. Shifts in the position of the North Magnetic Pole are nothing new. Since 1831, scientists have been tracking its location. The movements are caused by changes in the flow of swirling molten iron in the earth's core which affect how the earth's magnetic field behaves. What is surprising to scientists is the speed at which the pole has been moving in recent years. For most of the 20th century, magnetic north was located around the northern parts of Canada. It drifted around, moving slowly north at an ( イ ) speed of approximately 10 kilometers per year. In recent decades, that rate has increased significantly to about 55 kilometers per year. The North Magnetic Pole is now moving away from Canada toward eastem Russia. While scientists can't fully explain how changes in the carth's molten core are affecting the pole's movement, they can map the earth's magnetic field. Doing so allows them to ( ウ) hé rate of change over time. This, in turn, provides information on how the magnetic field may shift in the future. Information on changes to the earth's magnetic field is used to produce the World Magnetic Model (WMM). This model is used as the basis for all fornms of modern navigation, from how ships move at sea to mapping software in smartphones. ( エ) in the model, caused by shifts in the real location of the North Magnetic Pole, can seriously impact almost all foms of modern transportation. The model is updated every five years, but in 2018, during routine checks of the 2015- 2020 model cycle, scientists noticed a problem. Because of the rapidly shifting pole, the WMM was close to being outside the acceptable limits for navigational errors. This forced the release of an updated version of the model、 It was revised ( オ ) in 2020, and the current version is expected to last until 2024, As well as keeping track of the WMM's accuracy, scientists continue investigating why the magnetic field is changing so dramatically. This essential work will ensure a safe journey for everyone navigating their way through the world.

ア順番に12131であってますか？ わかる方教えてください！！！！ お願いします！

For most of the 20th century, magnetic north was located around the northern parts of molten iron in the earth's core which affect how the earth's magnetic field behaves. What is surprising to scientists is the speed at which the pole has been moving in recent years. magnetic poles, on the other hand, are ( ア ) moving. This fact has several implications poles are located at the northernmost and southernmost ends of the earth. The location of the Shifts in the position of the North Magnetic Pole are nothing new. Since 1831, scientists Earth has two sets of poles: the geographic poles and the magnetic poles. The geographic have been tracking its location. The movements are caused by changes in the flow of swirling for navigation and transportation. Canada. It drified around, moving slowiy north at an ( イ ) speed of approximately 10 MIometers per year. In recent decades. that rate has increased significantly to about 3 KIIometers per year. The North Magnetic Pole is nowmoving away from Canada toward eastern Russia. While scientists can't fully explain how changes in the earth's molten core are affecting the pole's movement, they can map the earth's magnetic field. Doing so allows them to (ウ ) the rate of change over time. This, in turn, provides information on how the magnetic field may shift in the future. Information on changes to the earth's magnetic field is used to produce the World Magnetic Model (WMM). This model is used as the basis for all forms of modern navigation, from how ships move at sea to mapping software in smartphones. ( エ ) inthe model, caused by shits in the real location of the North Magnetic Pole, can seriously impact almost all forms of moderntransportation. The model is updated every five years, but in 2018, during routine checks of the 2015- 2020 model cycle, scientists noticed a problem. Because of the rapidly shifting pole, the WMM was close to being outside the acceptable limits for navigational errors. This forced the release of an updated version of the model. was revised ( オ ) in2020, and the current version is expected to last until 2024. As well as keeping track of the WMM's accuracy, scientists continue investigating why the magnetic ficld is changing so dramatically. This essential work will ensure a safe journey for everyone navigating their way through the world.

アから順番に12131であってますか？ わかる方教えてください！！ お願いします！

例3.次の英文は 「磁極の移動」について述べたものです。(ア) ~ (オ) に入れ る最も適当なものを選択肢から選びなさい。 Earth has two sets of poles: the geographic poles and the magnetic poles. The geographic poles are located at the northernmost and southernmost ends of the earth. The location of the magnetic poles, on the other hand, are ( ア ) moving. This fact has several implications for navigation and transportation. Shifts in the position of the North Magnetic Pole are nothing new. Since 1831, scientists have been tracking its location. The movements are caused by changes in the flow of swirling molten iron in the earth's core which affect how the earth's magnetic field behaves. What is surprising to scientists is the speed at which the pole has been moving in recent years. For most of the 20th century, magnetic north was located around the northern parts of Canada. It drifted around, moving slowly north at an ( イ) speed of approximately 10 kilometers per year. In recent decades, that rate has increased significantly to about 55 kilometers per year, The North Maggnetic Pole is now moving away from Canada toward eastern Russia. While scientists can't fully explain how changes in the earth's molten core are affecting the pole's movement, they can map the earth's magnetic field. Doing so allows them to ( ウ ) the rate of change over time. This, in turn, provides information on how the magnetic field may shift in the future. Information on changes to the earth's magnetic field is used to produce the World Magnetic Model (WMM). This model is used as the basis for all forms of modern navigation, from how ships move at sea to mapping software in smartphones. ( エ ) inthe model、 caused by shifts in the real location of the North Magnetic Pole, can seriously impact almost all foms of modern transportation. The model is updated every five years, but in 2018, during routine checks of the 2015- 2020 model cycle, scientists noticed a problem, Because of the rapidly shifting pole, the WMIM was close to being outside the acceptable limits for navigational errors. This forced the release of an updated version of the model, It was revised (オ ) in2020, and the current version is expected to last until 2024, As well as kecping track of the WMM's accuracy, scientists continue investigating why the magnetic ficld is changing so dramatically, This essential work will ensure a safe joumey for everyone navigating their way through the world.

ここに入る語を教えてください。4択です。お願いします。 ( ) you do if you had a very long holiday? 1.How will 2.How would 3.What will 4.What would Our class ( ... 続きを読む

線を引いたところについてですが、何故そういえるのですか

例題 0.10 mol/L酢酸ナトリウム水溶液の pHを求めよ。酢酸イオンの加水分 解定数K, = 3.6×10 10mol/L, logio2 = 0.30, logi03 = 0.48 とする。 【解】 酢酸イオンがx [mol/L] だけ加水分解したとすると 平衡時 HO + HOO○°H 0°H + _O09°HO [T/1Ou) =3.6× 10-10 mol/L X-OI'O x x [CHCOOH] [OH-] ="y xは0.10 mol/Lに比べて十分に小さいので, 0.10 mol/L-x= 0.10 mol/L 0.10 mol/L-x [-O○○°HO] と近似できる。 よって, ペ=3.6×10-1 (mol/L)? pOH=-log1o (2×3×10) 3D6-logio2-log103=5.22 [OH] =x=6.0×10-°mol/L pH+ pOH=14より pH= 14-5.22=8.78 答え 8.78 加水分解定数:hydrolysis constant

下線部の意味に最も近いものを選ぶ問題です。どなたか教えてください！🙇‍♀️

(5) Thomas said the board approved a plan to run the publisher as a partnership. (a) operate (b) sell (C) launch (d) register (6) Under my overalls my hands fumbled nervously and I felt ill at ease in the presence of such a bold person. (a) clumsy (b) sick (C) awkward (d) unrefined (7) They will have to bear the misery of living in constant fear of war. (a) carry (b) stand (C) resent (d) support

(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

基礎英文解釈の技術100 クジラの公式は理解できるのですが、この文章が理解できません。 特に語句を補っている部分が分かりません。

82 演習 82(問題→本冊:p.165) A man like Kasparov studies chess constantly and has memorized large numbers of openings, closings, and midgame situations, so that in some respects he plays mechanically. A computer can, in principle, do this with greater memory capability and thus, eventually, outmatch any human being. But this no more shows any real superiority than when it carries out vast numbers of mathematical operations simultaneously. 【全文訳】カスパロフのような人は常にチェスを研究して相当数の序盤, 終盤そして中 盤を記憶してしまっていて,その結果,場面によっては機械的にチェスをする。 理 論的にはコンピューターはそれよりも大きい記憶力で機械的にチェスをすることが できるし,それだから結局はどんな人間にも優る。しかし, だからといってコンピ ューターのほうが本当にすぐれていることにまったくならないのは, それが膨大な 数の数学の演算を同時に行う場合と同様である。 【解説】 第1文で前置詞句1like Kasparov は man を修飾している。large numbers of 「相当多くの」。 So that ~ 「その結果~」。 in some respects は, 内容から 「場面によ っては」とした。 第2文の do this は play mechanically のことである。blo arb tud stuo2 bas 第3文の〈no more than>をマークするのがポイント。次のように語句を補うと 意味がはっきりする。 h elS R this no more shows any real superiority ([when it plays chess|) 0 atitのか S Vt S Vt 「これが何ら真の優越性を示すものではないのは」 this は前文の内容を指す

「多かれ少なかれ何かを買わなければならない人は常にいる」を「There are more and less customers need to buy something constantly.」と表現するのはおかしいですか？

多様体の接ベクトルに関する性質の証明なんですけど、(1)が分かりません。 素直に訳すと、(1)は「多様体上の滑らかな関数fとgが点pの座標近傍で同じなら、その接ベクトルv(f)とv(g)は同じになる」だと思うんですけど、証明でf(p)=0,g(p)=1と明らかに異なる値をと... 続きを読む

11. Lemma. Let ve T,(M). (1) If f, ge F(M) are equal on a neighbor- hood of p, then Uf) = v(g). (2) If he F(M) is constant on a neighborhood of p, then u(h) 0. 三 Proof.(1) By linearity it suffices to show that if f = 0 on a neighbor- hood W of p, then u(f) = 0. Let g be a bump function at p with support in W; then fg = 0onall of M. But v(0)= u(0 + 0) = u(0) + u(0) implies v(0) = 0. Thus 0= (fg) = v(S)g(p) + f(p)v{g) = u(f), since f(p) (2) By(1) we can assume that h has constant value c on all of M. If 1 is the constant function of value 1, then 0 and g(p) 1. ニ (1) = (1.1) = (1)1 + lu(1) = 2v(1). Hence v(1) = 0, and v(h) = u(c· 1) = cu{1) = 0.