In mathematics, the Cousin problems are two questions in several complex variables, concerning the existence of meromorphic functions that are specified in terms of local data. They were introduced in special cases by P. Cousin in 1895. They are now posed, and solved, for any complex manifold M, in terms of conditions on M.
For both problems, an open cover of M by sets Ui is given, along with a meromorphic function fi on each Ui.
Read more about Cousin Problems: First Cousin Problem, Second Cousin Problem
Famous quotes containing the words cousin and/or problems:
“The Empress is Legitimist, my cousin is Republican, Morny is Orleanist, I am a socialist; the only Bonapartist is Persigny, and he is mad.”
—Napoleon Bonaparte III (1808–1873)
“Hats have never at all been one of the vexing problems of my life, but, indifferent as I am, these render me speechless. I should think a well-taught and tasteful American milliner would go mad in England, and eventually hang herself with bolts of green and scarlet ribbon—the favorite colour combination in Liverpool.”
—Willa Cather (1876–1947)