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PEN K Problems
16
K 16
K 16
Source:
May 25, 2007
function
induction
Functional Equations
Problem Statement
Find all functions
f
:
Z
→
Z
f: \mathbb{Z}\to \mathbb{Z}
f
:
Z
→
Z
such that for all
m
,
n
∈
Z
m,n\in \mathbb{Z}
m
,
n
∈
Z
:
f
(
m
+
f
(
n
)
)
=
f
(
m
)
+
n
.
f(m+f(n)) = f(m)+n.
f
(
m
+
f
(
n
))
=
f
(
m
)
+
n
.
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