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  • A function <math>f:E\to\mathbb{R}</math> is called ''continuous'' at some point in its domain <math> x_{0} </math> if, for all <math> \varepsilon >0 </math It is easy to see that a function is continuous in [[isolated point]]s, and is continuous in large groups of points [[if]] the limit of the fun
    10 KB (1,761 words) - 02:16, 12 May 2023
  • ...are [[holomorphic]] on <math>D</math>, <math>h</math> has [[isolated point|isolated]] [[root | zero]]s and <math>f</math> can be written as <math>f(z)=\frac{g(
    499 bytes (87 words) - 16:41, 28 March 2009
  • (a) A ''neighborhood'' of a point <math>p</math> is a set <math>N_r (p)</math> consisting of all points such ...of a set <math>E</math> if every neighborhood of <math>p</math> contains a point <math>q \ne p</math> such that <math>q \in E</math>.
    13 KB (2,473 words) - 20:53, 10 January 2025