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单词 abelian integral
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Abelian integral
Abelian integral n. an integral of the form ∫F(x, y)dx, where F(x, y) is a rational function, and where y is an algebraic function of x defined by a polynomial equation p(x, y) = 0.
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1847 Rep. 16th Meeting Brit. Assoc. Advancem. Sci. 1846 i. 75 What are the corresponding functions to which the hyper-elliptic or Abelian integrals are inverse, and how by means of them can Abel's theorem be stated?
1897 H. F. Baker Abel's Theorem xviii. 561 The integrand of the Abelian integral ur is single-valued on the Riemann surface.
2007 Jrnl. Math. Anal. & Applic. 329 271 We give several preliminary results on the above functions which, as we will see, generate the Abelian integral I (h).
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