logo4 Evolution is progress—                          
progress is creativity.        
home button home active button book button book active button wiki button wiki active button cladogram button cladogram active button blog button blog active button contact button contact active button about button about active button

Sitelist

Recently Added

Recently Modified

Tags

Categories

Search

 vline

Injective and surjective functions

view blog view wiki view wiki view wiki

Injectiveness and Surjectiveness describe the mapping structure of functions as demonstrated by the following picture.

%3 cluster0 injective and surjective (bijective) cluster1 injective and non-surjective cluster3 injective and non-surjective cluster4 non-injective and non-surjective n0i1 i1 n0i2 i2 n0o1 o1 n0o2 o2 n0i1->n0o2 n0i3 i3 n0i2->n0o1 n0i4 i4 n0o3 o3 n0i3->n0o3 n0i5 i5 n0o4 o4 n0o5 o5 n0i4->n0o5 n0i5->n0o4 n3i1 i1 n3o1 o1 n1i1 i1 n1i2 i2 n1o1 o1 n1i1->n1o1 n1i3 i3 n1o2 o2 n1o3 o3 n1i2->n1o3 n1i4 i4 n1i3->n1o2 n1i5 i5 n1o4 o4 n1o5 o5 n1i4->n1o5 n1o6 o6 n1i5->n1o6 n4i1 i1 n4o1 o1 n3i2 i2 n3i1->n3o1 n3i3 i3 n3i2->n3o1 n3o2 o2 n3i4 i4 n3i3->n3o2 n3i5 i5 n3o4 o3 n3i4->n3o4 n3i5->n3o4 n4i2 i2 n4i1->n4o1 n4i3 i3 n4i2->n4o1 n4o2 o2 n4i4 i4 n4i3->n4o2 n4o3 o3 n4i5 i5 n4o4 o4 n4i4->n4o4 n4i5->n4o4 n4o5 o5 n4o6 o6

Tags: Functional Analysis

Categories: Mathematics

 
   

(c) Mato Nagel, Weißwasser 2004-2024, Disclaimer