In mathematics and computer science, a partial function from the domain (mathematics) ''X'' to the codomain ''Y'' is a binary relation over ''X'' and ''Y'' which associates with every element in the set ''X'' ''at most one'' element (mathematics) in the set ''Y''. If a partial function associates with every element in its domain ''precisely one'' element of its codomain, then it is termed a total function, or simply a "function (mathematics)" as traditionally understood in mathematics. Note that with this terminology, not every partial function is a "true" function. This above diagram does not represent a "well-defined" function because the element 1 in ''X'' is not associated with anything. The natural logarithm function from the real numbers to the reals is only partial, as the logarithm of non-positive reals is not a real number. == See also == * bijection * injective function * surjective function * multivalued function Set theory
''If a partial function associates with every element in its codomain precisely one element of its domain, then it is called a total function, or simply a function.'' This doesn't sound right to me. I think the words codomain and domain should be swapped. The function described above sounds like a 1:1 function, not an arbitrary total function. We need a better definition of "total function" User:Pizza Puzzle ---------------------------- Partial Function from-set contains members not in the domain, i.e. domain is subset of the from-set. Total Function Domain is the entire from-set -Mikael- -----------------------------
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Words begining with Partial_function:
Partial_function
Partial_function
Partial_functions
Partial function
In mathematics and computer science, a partial function from the domain (mathematics) ''X'' to the codomain ''Y'' is a binary relation over ''X'' and ''Y'' which associates with every element in the set ''X'' ''at most one'' element (mathematics) in the set ''Y''. If a partial function associates with every element in its domain ''precisely one'' element of its codomain, then it is termed a total function, or simply a "function (mathematics)" as traditionally understood in mathematics. Note that with this terminology, not every partial function is a "true" function. This above diagram does not represent a "well-defined" function because the element 1 in ''X'' is not associated with anything. The natural logarithm function from the real numbers to the reals is only partial, as the logarithm of non-positive reals is not a real number. == See also == * bijection * injective function * surjective function * multivalued function Set theory
Partial function
''If a partial function associates with every element in its codomain precisely one element of its domain, then it is called a total function, or simply a function.'' This doesn't sound right to me. I think the words codomain and domain should be swapped. The function described above sounds like a 1:1 function, not an arbitrary total function. We need a better definition of "total function" User:Pizza Puzzle ---------------------------- Partial Function from-set contains members not in the domain, i.e. domain is subset of the from-set. Total Function Domain is the entire from-set -Mikael- -----------------------------
See other meanings of words starting from letter:
P
PA | PB | PC | PD | PE | PF | PG | PH | PI | PJ | PK | PL | PM | PN | PO | PR | PS | PT | PU | PW | PX | PY | PZ |Words begining with Partial_function:
Partial_function
Partial_function
Partial_functions
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