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- In [[mathematics]], an '''injective function''' or '''one-to-one function''' or '''injection''' is a [[function (mathema An injective function ''f'' has a well-defined partial inverse <math>f^{-1}</math>. If ''y'' is894 bytes (148 words) - 12:23, 13 November 2008
- 107 bytes (14 words) - 13:13, 13 November 2008
- 907 bytes (142 words) - 13:06, 13 November 2008
Page text matches
- In [[mathematics]], an '''injective function''' or '''one-to-one function''' or '''injection''' is a [[function (mathema An injective function ''f'' has a well-defined partial inverse <math>f^{-1}</math>. If ''y'' is894 bytes (148 words) - 12:23, 13 November 2008
- #REDIRECT [[Injective function]]32 bytes (3 words) - 14:46, 12 November 2008
- ...F'' is a [[ring homomorphism]]. A homomorphism of fields is necessarily [[injective function|injective]], since it is a [[ring homomorphism]] with trivial kernel, and a1 KB (166 words) - 18:17, 16 February 2009
- ...e outputs from ''f'' satisfying <math>f(x) < f(y)</math>: that is, it is [[injective function|injective]] in addition to being montonic.1 KB (211 words) - 17:02, 7 February 2009
- {{r|Injective function}}120 bytes (13 words) - 11:01, 31 May 2009
- * [[Injective function]]710 bytes (120 words) - 13:08, 13 November 2008
- {{r|Injective function}}608 bytes (79 words) - 18:38, 11 January 2010
- ...elf, ''f'' is [[surjective function|surjective]] if and only if ''f'' is [[injective function|injective]].1 KB (222 words) - 16:36, 4 January 2013
- #f is a bijective function (i.e., it is [[injective function|one-to-one]] and [[surjective function|onto]])2 KB (265 words) - 07:44, 4 January 2009
- {{r|Injective function}}906 bytes (142 words) - 13:12, 13 November 2008
- {{r|Injective function}}907 bytes (142 words) - 14:42, 2 November 2008
- {{r|Injective function}}1 KB (172 words) - 15:25, 15 May 2011
- an injective function from ''A'' into ''B'' and an injective function from ''B'' into ''A'' ...note by ''f'' the injective function from ''A'' to ''B'', and by ''g'' the injective function from ''B'' to ''A''.8 KB (1,281 words) - 15:39, 23 September 2013
- an injective function from ''A'' into ''B'' and an injective function from ''B'' into ''A'' ...note by ''f'' the injective function from ''A'' to ''B'', and by ''g'' the injective function from ''B'' to ''A''.8 KB (1,275 words) - 15:34, 23 September 2013
- is exact asserts that ''f'' is [[injective function|injective]]. We see this by noting that the only possible map ''i'' from t3 KB (471 words) - 17:22, 15 November 2008
- A homomorphism of fields is necessarily [[injective function|injective]], since it is a [[ring homomorphism]] with trivial kernel, and a3 KB (418 words) - 12:18, 20 December 2008
- # A function is a bijection iff it is both an [[injective function|injection]] and a [[surjective function|surjection]].4 KB (618 words) - 22:24, 7 February 2010
- We claim that this map is [[injective function|injective]]: that is, if <math>x \not\equiv y \bmod n_1n_2</math> then <mat3 KB (535 words) - 15:02, 22 November 2008
- ...e form a category in their own right. For example the composition of two [[injective function|injective functions]] is itself injective. Generally the composition of two7 KB (1,151 words) - 14:44, 26 December 2013
- ...and in<sub>2</sub> from ''X'' and ''Y'' to the disjoint union, which are [[injective function]]s with disjoint images.2 KB (320 words) - 16:57, 28 November 2008