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By Choi Sang Long

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Example text

O De mostraci6n. Segun el teorema 1, e l conj unto E1 es u n compacta, es decir, un conjunto ccrrado y acotado. Segun Ia d e finicion 5, p. 2, cap. 1, su diametro d(EI) = sup p(w 1,w2) IDIEEJ. tD2EE, Teorema 3. ' la fizm cwn J . (-(o es contmun en el punta z0, entonces lim(/ o cp) (() ( -(o si ( E D 'P \ {(o}, si ( = (o. La funci6n cp• es continua en el p unto ( 0 . Scgun el teorema 1 Ia ' funci6n f o 'P• es continua en ( 0 .

Suficiencia. Sea Re z,. -> Re z, Im z,. -> Im z. Entonces lz,1 - z l2 = (Re z,. - Re z )2 + (lm z,. - Im z f -+ 0 cuando n-+ oo, es d ecir, z,. --+ z. ~ lim z,. n-+oo n-+oo (,. lim ( 11 11-+00 Teorema 3 (criteria de Cauchy). ) = lzn+p - Zn I < c Im z). ) = lim z,. lim (,1 , (1:/ c -> lim z,. n-oo z = +oo. Notese que para el numero complejo convencional oo no se d efinen los conceptos d e parte real, parte imag inaria y argumento. conforme al teorema 1, p. 1, cap. 1, una succsion (z, ) convergente en el espacio metrico (

Si z pertenece a Ia semirrecta arg z = a, entonces el valor principal del argumento arg (( + i77) de Ia imagen Z es a. Por eso el pW1to Z se encuentra en el semimeridiano de angulo a. La afirmaci6n recfproca tambien es valida. Por consiguiente, Ia proyecci6n es tereografica transforma Ia semirrecta arg z = a en W1 semimeridiano d e angulo a , excluidos los polos norte y sur. b) Sea z E

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An analysis of the relationship between HR professionals’ competencies and firms’ performance in Malaysia by Choi Sang Long

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