infinite

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infinite

Maths
a. having an unlimited number of digits, factors, terms, members, etc.
b. (of a set) able to be put in a one-to-one correspondence with part of itself
c. (of an integral) having infinity as one or both limits of integration
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

infinite

[′in·fə·nət]
(mathematics)
Larger than any fixed number.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

infinite

(mathematics)
1. Bigger than any natural number. There are various formal set definitions in set theory: a set X is infinite if

(i) There is a bijection between X and a proper subset of X.

(ii) There is an injection from the set N of natural numbers to X.

(iii) There is an injection from each natural number n to X.

These definitions are not necessarily equivalent unless we accept the Axiom of Choice.

2. The length of a line extended indefinitely.

See also infinite loop, infinite set.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
References in periodicals archive ?
Si bien el presente estudio tiene su punto de partida en una prolongada investigacion de la <<dramaticidad del espiritu finito en el mundo>> (1), a la vez que se encuentra arraigado en la investigacion del <<sentimiento en cuanto nexo entre el espiritu y el cuerpo>> (2), no pretende esclarecer una de las nociones mas dificiles del pensamiento filosofico, sino que intenta dilucidar una llamativa anticipacion de dicho espiritu finito por el Espiritu Infinito, que emerge de la obra Potenz und Akt (PA) de Edith Stein (3), siendo el espiritu un concepto articulador de todo su pensamiento (4).
Aunque esta nueva escuela acepta la axiomatizacion del analisis, rechaza la idea del infinito actual en matematica.
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El area bajo la curva desde el tiempo 0 hasta la ultima concentracion medida (AB[C.sub.0-t]) se calculo por la regla de los trapezoides lineales y fue extrapolada al infinito (AB[C.sub.0-[infinito]] ) de acuerdo a AB[C.sub.0-t] + [C.sub.t]/[lambda], donde [C.sub.t] es la ultima concentracion medida.