Proving multiplication floor functions
0
$begingroup$
If x, y is bigger than zero (I mean real numbers bigger than 0.) Then why does this always works?
[x][y]<=[xy]<([x]+1)([y]+1)
<= means less or equal to
brackets are floor function
proof-verification inequality floor-function
asked Jan 13 at 0:50
mathheromathhero
235
$endgroup$
add a comment |
0
$begingroup$
If x, y is bigger than zero (I mean real numbers bigger than 0.) Then why does this always works?
[x][y]<=[xy]<([x]+1)([y]+1)
<= means less or equal to
brackets are floor function
proof-verification inequality floor-function
asked Jan 13 at 0:50
mathheromathhero
235
$endgroup$
$begingroup$
Please use MathJax to format your posts.
$endgroup$
– saulspatz
Jan 13 at 1:39
$begingroup$
I am sorry but I don't know how to use it
$endgroup$
– mathhero
Jan 13 at 1:40
3
$begingroup$
Write $x=n+delta, y=m+varepsilon,$ where $m,n$ are nonnegative integers, and $0ledelta,varepsilon<1.$
$endgroup$
– saulspatz
Jan 13 at 1:41
1
$begingroup$
That's why I gave you a link to the tutorial. It's not hard.
$endgroup$
– saulspatz
Jan 13 at 1:42
add a comment |
0
0
0
$begingroup$
If x, y is bigger than zero (I mean real numbers bigger than 0.) Then why does this always works?
[x][y]<=[xy]<([x]+1)([y]+1)
<= means less or equal to
brackets are floor function
proof-verification inequality floor-function
asked Jan 13 at 0:50
mathheromathhero
235
$endgroup$
If x, y is bigger than zero (I mean real numbers bigger than 0.) Then why does this always works?
[x][y]<=[xy]<([x]+1)([y]+1)
<= means less or equal to
brackets are floor function
proof-verification inequality floor-function
proof-verification inequality floor-function
asked Jan 13 at 0:50
mathheromathhero
235
asked Jan 13 at 0:50
mathheromathhero
235
asked Jan 13 at 0:50
mathheromathhero
235
asked Jan 13 at 0:50
mathheromathhero
235
asked Jan 13 at 0:50
mathheromathhero
235
235
$begingroup$
Please use MathJax to format your posts.
$endgroup$
– saulspatz
Jan 13 at 1:39
$begingroup$
I am sorry but I don't know how to use it
$endgroup$
– mathhero
Jan 13 at 1:40
3
$begingroup$
Write $x=n+delta, y=m+varepsilon,$ where $m,n$ are nonnegative integers, and $0ledelta,varepsilon<1.$
$endgroup$
– saulspatz
Jan 13 at 1:41
1
$begingroup$
That's why I gave you a link to the tutorial. It's not hard.
$endgroup$
– saulspatz
Jan 13 at 1:42
add a comment |
$begingroup$
Please use MathJax to format your posts.
$endgroup$
– saulspatz
Jan 13 at 1:39
$begingroup$
I am sorry but I don't know how to use it
$endgroup$
– mathhero
Jan 13 at 1:40
3
$begingroup$
Write $x=n+delta, y=m+varepsilon,$ where $m,n$ are nonnegative integers, and $0ledelta,varepsilon<1.$
$endgroup$
– saulspatz
Jan 13 at 1:41
1
$begingroup$
That's why I gave you a link to the tutorial. It's not hard.
$endgroup$
– saulspatz
Jan 13 at 1:42
$begingroup$
Please use MathJax to format your posts.
$endgroup$
– saulspatz
Jan 13 at 1:39
$begingroup$
Please use MathJax to format your posts.
$endgroup$
– saulspatz
Jan 13 at 1:39
$begingroup$
I am sorry but I don't know how to use it
$endgroup$
– mathhero
Jan 13 at 1:40
$begingroup$
I am sorry but I don't know how to use it
$endgroup$
– mathhero
Jan 13 at 1:40
3
3
$begingroup$
Write $x=n+delta, y=m+varepsilon,$ where $m,n$ are nonnegative integers, and $0ledelta,varepsilon<1.$
$endgroup$
– saulspatz
Jan 13 at 1:41
$begingroup$
Write $x=n+delta, y=m+varepsilon,$ where $m,n$ are nonnegative integers, and $0ledelta,varepsilon<1.$
$endgroup$
– saulspatz
Jan 13 at 1:41
1
1
$begingroup$
That's why I gave you a link to the tutorial. It's not hard.
$endgroup$
– saulspatz
Jan 13 at 1:42
$begingroup$
That's why I gave you a link to the tutorial. It's not hard.
$endgroup$
– saulspatz
Jan 13 at 1:42
add a comment |
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$begingroup$
Please use MathJax to format your posts.
$endgroup$
– saulspatz
Jan 13 at 1:39
$begingroup$
I am sorry but I don't know how to use it
$endgroup$
– mathhero
Jan 13 at 1:40
3
$begingroup$
Write $x=n+delta, y=m+varepsilon,$ where $m,n$ are nonnegative integers, and $0ledelta,varepsilon<1.$
$endgroup$
– saulspatz
Jan 13 at 1:41
1
$begingroup$
That's why I gave you a link to the tutorial. It's not hard.
$endgroup$
– saulspatz
Jan 13 at 1:42