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surjection
(redirected from Surjective)

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
sur·jec·tion  (sr-jkshn)
n. Mathematics
A function that is onto.


surjection [sɜːˈdʒɛkʃən]
n
(Mathematics) a mathematical function or mapping for which every element of the image space is a value for some members of the domain See also injection [5] bijection
[from sur-1 + -jection, on the model of projection]
surjective  adj

surjection  (sr-jkshn)
A function such that each member of its range is mapped onto by a member of the domain. Compare bijectioninjection


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The family [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a frame for H if the operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] defined by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is continuous and surjective.
It is well known that every surjective isometry between normed spaces must be linear (31), (46).
v] 's, and [lambda] be the unique increasing surjective application from {[l.
 
 
 
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