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TOEIC・英語 大学生・専門学校生・社会人

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¥ Samuel Pepys is the earliest diary- keeper that is famous today. for it gives personal insight into London's Great Plague and the Great Fire. Pepys took diary writing from the realm of business to the individual. His diary is being published on the Internet, and it is interesting to note that there has beena new entry every day since Anne Frars 1929-194。 n January of 2003. It will continue over the course of several years to come. Reading his diary is fascinating. and it makes his life all the more real to us. 63 Today's electronic version of the diary, the web READING PASSAGE log, or “blog," has once again stretched the diary to fopic sentences and supporting sentences of each paragraph be much more than a personal account of the dav's events. There are blogs to document recipes, traveling. ロ movies, independent news, product announcements, allowance." It refers to a book for fragmentary writings by date and is photos, and anything else that needs to be recorded over time. Search engines like Technorati.com have 会 the six volumes of Samuel Pepys diary manuscript 35 been created to keep track of the more than 112 million blogs that are $ diary is a good form of self-study. 日(In America, from the 1940s through the 1980s! a diary was thought of currently public. In its newest incarnation, the diary has become more popular mostly as a way to privately express one's deepest thoughts while keeping notations about the day, In those times, pnd even continuing on today, writin。 in a diary was like writing to a special friend. Many times, movies would show than ever. COMPREHENSION QUESTIONS 9 teenage girl beginning to write in her diary while she said aloud, "Dear diary Decide if each statement is true [T] or false [F]. If it is false, write the sentence correctly. What followed was a synopsis of the day, usually filled with emotion. Those private reflections may have historical significance long after the 1.[]The word “diary" means a collection of stories written every ロ day. author's death. A diary kept by a young German Jewish girl by the name of Anne 2.[] Diary writing in movies illustrates how similar it is to writing to a special friend. Frank provides us with invaluable lessons about history, for she documented Anne kept a record of her private events and thoughts in her diary after she moved to Germany. 15 her experiences while she hid from the Nazis during their occupation of the Netherlands in World War II. Her diary became one of the world's most widely 4.[]Pepys was one of the first diary writers to include his own personal observations of historical events. read books and is the basis for many films. Samuel Pepys, who lived during the 17th century, is the earliest diary-keeper that is famous today. His diary is also an important documentation of history, ロ 5.[、]Today's diaries on the web are changing their characteristic of being secretive. 12

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化学 大学生・専門学校生・社会人

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値を記述せよ。 71. 〈密閉容器内の気体の溶解〉 10°℃ で8.1×10-°mol の二酸化炭素を含む水500mL を容益に 入れると,容器の上部に体積50mL の空間(以下,ヘッドスペー スという)が残った(右図)。 この部分をただちに10°℃の窒素で 大気圧(1.0×10® Pa) にして, 密封した。この容器を 35°Cに放置 して平衡に達した状態を考える。 このとき,ヘッドスペース中の窒素の分圧は口ア Paになる。 なお,窒素は水に溶解せず, 水の体積および容器の容積は 10°℃C のときと同じとする。 二酸化炭素の水への溶解にはヘンリーの法則が成立し,35°Cにおける二酸化炭素の 水への溶解度(圧力が1.0×10°Pa で水1Lに溶ける,標準状態に換算した気体の体積) は0.59L である。ヘッドスペース中の二酸化炭素の分圧をか[Pa] として,ヘッドス ペースと水中のそれぞれに存在する二酸化炭素の物質量 n. [mol] と n2 [mol] は,かを 用いて表すと ヘッドスペース 50mL 二酸化炭素 を含む水 500mL ni=イ×か n2=| ウ |×か である。これらのことから, へッドスペース中の二酸化炭素の分圧かはエPaであ る。したがって, 35°℃における水の蒸気圧を無視すると,ヘッドスペース中の全圧は |オ]Pa である。 問い[ア]~オ]に適切な数値を有効数字2桁で記せ。 R=8.3×10°Pa·L/(Kmol) (15 京都大) 78. 〈浸透圧〉 0

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数学 大学生・専門学校生・社会人

多様体の接空間に関する基底定理の証明です。g(q)=∫〜と定義した関数を微積分学の基本定理を用いながら変形してg(q)=g(0)+∑gᵢuⁱと導出するのですが、これがうまくいきません。 自分は、g(q)の式をまず両辺tで微分して、次に両辺uⁱで積分して、最後に両辺tで積分... 続きを読む

12. Theorem.If{ = (x', , x") is a coordinate system in M at p, then its coordinate vectors d, lp, …… 0,l, forma basis for the tangent space T,(M); and D= E(x) 。 i=1 for all ve T(M). Proof. By the preceding remarks we can work solely on the coordinate neighborhood of G. Since u(c) = Othere is no loss of generality in assuming ど(p) = 0eR". Shrinking W if necessary gives E(W) = {qe R":|q| < } for some 8. Ifg is a smooth function on E(W) then for each 1 <isndefine og (tq) dt du g(9) = for all qe {(W). It follows using the fundamental theorem of calculus that g= g(0) + E&,u' on (W). Thus if fe &(M), setting g = f。' yields f= f(P) + Ex on U. Applying d/ax' gives f(p) = (f /0x)(P). Thus applying the tangent vector e to the formula gives (f) = 0+ E(x'(p) + E Ap)u(x) = E(Px). ず ax Since this holds for all f e &(M), the tangent vectors v and Z Ux') d,l, are equal. It remains to show that the coordinate vectors are linearly independent. But if ) a, o.l, = 0, then application to x' yields dxi 0=24 (P) = 2q d」= 4. In particular the (vector space) dimension of T,(M) is the same as the dimension of M.

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