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  2. Milne-Thomson method for finding a holomorphic function

    en.wikipedia.org/wiki/Milne-Thomson_method_for...

    He is really interested in problems 3 and 4, but the answers to the easier problems 1 and 2 are needed for proving the answers to problems 3 and 4. 1st problem [ edit ]

  3. Plurisubharmonic function - Wikipedia

    en.wikipedia.org/wiki/Plurisubharmonic_function

    In mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis.On a Kähler manifold, plurisubharmonic functions form a subset of the subharmonic functions.

  4. Mittag-Leffler's theorem - Wikipedia

    en.wikipedia.org/wiki/Mittag-Leffler's_theorem

    One possible proof outline is as follows. If is finite, it suffices to take () = ().If is not finite, consider the finite sum () = where is a finite subset of .While the () may not converge as F approaches E, one may subtract well-chosen rational functions with poles outside of (provided by Runge's theorem) without changing the principal parts of the () and in such a way that convergence is ...

  5. Hurwitz's theorem (complex analysis) - Wikipedia

    en.wikipedia.org/wiki/Hurwitz's_theorem_(complex...

    Let f be an analytic function on an open subset of the complex plane with a zero of order m at z 0, and suppose that {f n} is a sequence of functions converging uniformly on compact subsets to f. Fix some ρ > 0 such that f(z) ≠ 0 in 0 < |zz 0 | ≤ ρ. Choose δ such that |f(z)| > δ for z on the circle |zz 0 | = ρ.

  6. Sodium fluorosilicate - Wikipedia

    en.wikipedia.org/wiki/Sodium_fluorosilicate

    Sodium fluorosilicate is a compound with the chemical formula Na 2 [SiF 6]. Unlike other sodium salts, it has a low solubility in water. Unlike other sodium salts, it has a low solubility in water. Natural occurrence

  7. E–Z notation - Wikipedia

    en.wikipedia.org/wiki/E–Z_notation

    Alitretinoin. For organic molecules with multiple double bonds, it is sometimes necessary to indicate the alkene location for each E or Z symbol. For example, the chemical name of alitretinoin is (2E,4E,6Z,8E)-3,7-dimethyl-9-(2,6,6-trimethyl-1-cyclohexenyl)nona-2,4,6,8-tetraenoic acid, indicating that the alkenes starting at positions 2, 4, and 8 are E while the one starting at position 6 is Z.

  8. Charge number - Wikipedia

    en.wikipedia.org/wiki/Charge_number

    Atomic numbers (Z) are a special case of charge numbers, referring to the charge number of an atomic nucleus, as opposed to the net charge of an atom or ion. The charge numbers for ions (and also subatomic particles ) are written in superscript, e.g., Na + is a sodium ion with charge number positive one (an electric charge of one elementary ...

  9. Z with stroke - Wikipedia

    en.wikipedia.org/wiki/Z_with_stroke

    It represents the same sound in the Polish alphabet, remaining in active usage by some as an alternative for the letter Ż (called "Z with overdot"). However, only the latter glyph is considered standard and is taught in Polish schools to children. It is sometimes used as the form for the standard Z to distinguish it from the numeral two 2 .

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