学年

質問の種類

英語 高校生

2枚目下から2段落目のhis first oratorio in Englishだけを見て、 彼にとって初の英語のオラトリオなのか 彼の初めてのオラトリオが英語でかかれたのか、 どちらか特定することは可能ですか??

The two greatest composers of the Baroque era would be George Your group is preparing a poster presentation entitled “The Greatest Baroque Frideric Handel and Johann Sebastian Bach. Handel was born in Halle, | Brandenburg-Prussia (nowGermany), in 1685. Unlike Bach, who was born 54 第5問 (配点 20) is Composer," using information from the magazine article below. rade and four fingers on ト m to be able to perform into a great musical family, Handel's father was a surgeon. rwhich he wrote severa/ apse again wathina yea. Handel composed his S Handel showed an exceptional talent in playing instruments from very early age. He learned harpsichord, violin, and organ from the organist at the Halle parish church, Friedrich Wilhelm Zachow. Zachow recognized a Handel's extraordinary talent and systematically introduced him to a diakand to give charity slist pertormed in D , but enjoyed great variety of styles of music. He also taught Handel composition. It is said L.he was invited byr th. that Handel started to compose at the age of nine. In 1702, Handel became the organist at the Calvinist Cathedral in Halle. The wage was good, but the contract was just for one year. The next sperformed and loved ba In1752, Handel co. Sal. he continued to p year, he moved to Hamburg. He was hired by the orchestra of the Hamburg Oper am Gànsemarkt as a violinist and harpsichordist. In 1705, his first opera Almira was produced. In Hamburg, he made three more operas. He was recognized as a brilliant opera composer. tan three thousand pe Handel was invited to Italy in 1706 by Gian Gastone de' Medici, who had a keen interest in opera. Rodrigo, Handel's first all-Italian opera, was produced in Florence in 1707. In 1709, he produced another opera, Agrippina in Venice. It turned out to be a huge success and ran for 27 nights successively. In Italy, he also composed oratorios like La Resurrezione and II Trionfo del Tempo e del Disinganno. The oratorio 1S a narrative musical work for singers and an orchestra., based on a story from the Bible. Handel moved to England in 1712 and decided to live there permanently (He changed his nationality in 1727.) In 1713, he composed Utrecht Te Deum and Jubilate for Queen Anne, and was granted a yearly income O1 rer ir Ag Cos reciam al the Rigral Acade scanding qpers hke Cioh demy cadsed to functh

解決済み 回答数: 1
数学 大学生・専門学校生・社会人

大学数学、複素関数論、テータ関数に関する質問です。 写真のテータ関数の無限積表示(5.24)の式の1行目の形にどうやってしているのかと、命題5.22の(5.26)の証明を教えていただきたいです。

(b) テータ関数 ヤコビは楕円関数論の研究において, 次の級数を導入した。 9(2) = 22(-1)"-!g"-1/2)" sin(2n-1)Tu n=1 2(g/4 sin Tu-g/ sin 3Tu+q^/4 sin 5Tu-…). (5.23) 三 これはヤコビの楕円テータ関数(以下単にテータ関数(theta function))と呼 ばれるものの1つである. limd,(u)/2q'/4=Dsin Tu なので, 0,(u) は sin Tu 9→0 の一種の拡張と見ることができる。 伝統的な記号にならって, 以下 2ミe2miu a=2 q= eir, と書こう.gl<1だから Imr>0である. このとき(5.23)の右辺は TiT 2Tiu 9=e 9 2と(-1)"-1gm-1/2)?_2"-1/2 _2-n+1/2 =iこ(-1)"gm-1/2)°n-1/2 n=1 2i n=-00 = ig4z-1/2 (-1)"g"(n-1)z" n=-00 と書き直すことができる.右辺に3重積公式(5.22)を用いれば, テータ関数 の無限積表示が得られる: 0,(u) = iq'4z-1/2(1-2) II (1-g"2)(1-g"z-')(1-g") n=1. = 2q/4 sin Tu I (1-2g" cos 2Tu+g")(1-g"). 三 (5.24) n=1 命題5.22 0,(u) はuの整関数で 0,(-u) = ー6,(u). (5.25) 0 0(u) = 0 < (m,nEZ). 0,(u+1) = -0, (u), 9,(u+t) = -e-mi(r+2u)9, (u). (5.27) u= m+nT (5.26) 0 + 2u) [証明](5.25),(5.26) は(5.24)から簡単にわかる. また前節の無限積

回答募集中 回答数: 0