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  • ...[[polynomial]] with [[integer|integral]] [[coefficient]]s. Many famous [[constant]]s such as [[pi | <math>\pi</math>]] and [[e | <math>e</math>]] are transce
    568 bytes (72 words) - 10:52, 9 December 2007
  • ...th> to some finite set of rational numbers, i.e., less than some positive constant. ...ic progression <math>a\ell+b</math> (<math>\ell\in\mathbb Z</math>) if the constant <math>C</math> (depending on the progression) is large enough. To prove it,
    7 KB (1,290 words) - 11:18, 30 May 2019
  • == Liouville's Theorem == ...h>z</math> for some real number <math>A</math>, then <math>f</math> is a [[constant]] function.
    2 KB (271 words) - 21:06, 12 April 2022
  • === Proof by Liouville's Theorem === ...lex analysis]], which says that every [[bounded]] [[entire function]] is [[constant]].
    5 KB (832 words) - 13:22, 11 January 2024
  • ...unded every complex-differentiable function on the entire complex plane is constant.
    361 bytes (43 words) - 23:01, 4 April 2009
  • In [[complex analysis]], '''Liouville's Theorem''' states that a constant. It is named after Joseph Liouville.
    2 KB (412 words) - 19:30, 16 January 2024