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19
19
Part of
PEN S Problems
Problems
(1)
S 19
Source:
5/25/2007
Determine all pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of real numbers such that
a
⌊
b
n
⌋
=
b
⌊
a
n
⌋
a\lfloor bn\rfloor =b\lfloor an\rfloor
a
⌊
bn
⌋
=
b
⌊
an
⌋
for all positive integer
n
n
n
.
floor function
calculus
integration
induction
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