MathDB
Problems
Contests
National and Regional Contests
Canada Contests
Canada National Olympiad
1975 Canada National Olympiad
3
3
Part of
1975 Canada National Olympiad
Problems
(1)
Floor Function
Source:
7/27/2008
For each real number
r
r
r
,
[
r
]
[r]
[
r
]
denotes the largest integer less than or equal to
r
r
r
, e.g. [6] \equal{} 6, [\pi] \equal{} 3, [\minus{}1.5] \equal{} \minus{}2. Indicate on the
(
x
,
y
)
(x,y)
(
x
,
y
)
-plane the set of all points
(
x
,
y
)
(x,y)
(
x
,
y
)
for which [x]^2 \plus{} [y]^2 \equal{} 4.
function