How can I check if “value is fractional multiple of another” in “modulo sense”?
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How can I check if "value is fractional multiple of another" in "modulo sense"?
Typically in programming the modulo is used like:
if n mod m == 0
which means that $n$ is an integer multiple of $m$.
However, what if I want to check whether $n$ is a $1/10th$ of $m$ in the "recurring" modulo sense? That is, e.g.
$m=20$, consider
$n=2$, should return true since $2/20=1/10$
$n=22$, should return true.
$n=42$, should return true.
...
(the pattern you see in $n$ is "recurring", because even when $n$ is a different number it's evaluated in the same way as the base case.
Could it be as simple as taking $n mod m = r$, then checking if $r / m = text{desired fractional}$?
modular-arithmetic
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
$endgroup$
add a comment |
$begingroup$
How can I check if "value is fractional multiple of another" in "modulo sense"?
Typically in programming the modulo is used like:
if n mod m == 0
which means that $n$ is an integer multiple of $m$.
However, what if I want to check whether $n$ is a $1/10th$ of $m$ in the "recurring" modulo sense? That is, e.g.
$m=20$, consider
$n=2$, should return true since $2/20=1/10$
$n=22$, should return true.
$n=42$, should return true.
...
(the pattern you see in $n$ is "recurring", because even when $n$ is a different number it's evaluated in the same way as the base case.
Could it be as simple as taking $n mod m = r$, then checking if $r / m = text{desired fractional}$?
modular-arithmetic
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
$endgroup$
2
$begingroup$
Please define the used "terms".
$endgroup$
– gammatester
Dec 16 '18 at 15:19
$begingroup$
In your example, do you mean $n equiv 1 pmod {10}$?
$endgroup$
– Maged Saeed
Dec 16 '18 at 15:20
$begingroup$
@MagedSaeed I'm trying to figure out what the relation for $n$ is, basing on that I know $n mod m$.
$endgroup$
– mavavilj
Dec 16 '18 at 15:21
2
$begingroup$
This is hard to follow. It looks like you are just asking if $nequiv 2 pmod {20}$ but I am not at all sure this is correct.
$endgroup$
– lulu
Dec 16 '18 at 15:31
add a comment |
$begingroup$
How can I check if "value is fractional multiple of another" in "modulo sense"?
Typically in programming the modulo is used like:
if n mod m == 0
which means that $n$ is an integer multiple of $m$.
However, what if I want to check whether $n$ is a $1/10th$ of $m$ in the "recurring" modulo sense? That is, e.g.
$m=20$, consider
$n=2$, should return true since $2/20=1/10$
$n=22$, should return true.
$n=42$, should return true.
...
(the pattern you see in $n$ is "recurring", because even when $n$ is a different number it's evaluated in the same way as the base case.
Could it be as simple as taking $n mod m = r$, then checking if $r / m = text{desired fractional}$?
modular-arithmetic
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
$endgroup$
How can I check if "value is fractional multiple of another" in "modulo sense"?
Typically in programming the modulo is used like:
if n mod m == 0
which means that $n$ is an integer multiple of $m$.
However, what if I want to check whether $n$ is a $1/10th$ of $m$ in the "recurring" modulo sense? That is, e.g.
$m=20$, consider
$n=2$, should return true since $2/20=1/10$
$n=22$, should return true.
$n=42$, should return true.
...
(the pattern you see in $n$ is "recurring", because even when $n$ is a different number it's evaluated in the same way as the base case.
Could it be as simple as taking $n mod m = r$, then checking if $r / m = text{desired fractional}$?
modular-arithmetic
modular-arithmetic
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
edited Dec 16 '18 at 15:22
mavavilj
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
asked Dec 16 '18 at 15:14
mavaviljmavavilj
2,80211037
2,80211037
2
$begingroup$
Please define the used "terms".
$endgroup$
– gammatester
Dec 16 '18 at 15:19
$begingroup$
In your example, do you mean $n equiv 1 pmod {10}$?
$endgroup$
– Maged Saeed
Dec 16 '18 at 15:20
$begingroup$
@MagedSaeed I'm trying to figure out what the relation for $n$ is, basing on that I know $n mod m$.
$endgroup$
– mavavilj
Dec 16 '18 at 15:21
2
$begingroup$
This is hard to follow. It looks like you are just asking if $nequiv 2 pmod {20}$ but I am not at all sure this is correct.
$endgroup$
– lulu
Dec 16 '18 at 15:31
add a comment |
2
$begingroup$
Please define the used "terms".
$endgroup$
– gammatester
Dec 16 '18 at 15:19
$begingroup$
In your example, do you mean $n equiv 1 pmod {10}$?
$endgroup$
– Maged Saeed
Dec 16 '18 at 15:20
$begingroup$
@MagedSaeed I'm trying to figure out what the relation for $n$ is, basing on that I know $n mod m$.
$endgroup$
– mavavilj
Dec 16 '18 at 15:21
2
$begingroup$
This is hard to follow. It looks like you are just asking if $nequiv 2 pmod {20}$ but I am not at all sure this is correct.
$endgroup$
– lulu
Dec 16 '18 at 15:31
2
2
$begingroup$
Please define the used "terms".
$endgroup$
– gammatester
Dec 16 '18 at 15:19
$begingroup$
Please define the used "terms".
$endgroup$
– gammatester
Dec 16 '18 at 15:19
$begingroup$
In your example, do you mean $n equiv 1 pmod {10}$?
$endgroup$
– Maged Saeed
Dec 16 '18 at 15:20
$begingroup$
In your example, do you mean $n equiv 1 pmod {10}$?
$endgroup$
– Maged Saeed
Dec 16 '18 at 15:20
$begingroup$
@MagedSaeed I'm trying to figure out what the relation for $n$ is, basing on that I know $n mod m$.
$endgroup$
– mavavilj
Dec 16 '18 at 15:21
$begingroup$
@MagedSaeed I'm trying to figure out what the relation for $n$ is, basing on that I know $n mod m$.
$endgroup$
– mavavilj
Dec 16 '18 at 15:21
2
2
$begingroup$
This is hard to follow. It looks like you are just asking if $nequiv 2 pmod {20}$ but I am not at all sure this is correct.
$endgroup$
– lulu
Dec 16 '18 at 15:31
$begingroup$
This is hard to follow. It looks like you are just asking if $nequiv 2 pmod {20}$ but I am not at all sure this is correct.
$endgroup$
– lulu
Dec 16 '18 at 15:31
add a comment |
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2
$begingroup$
Please define the used "terms".
$endgroup$
– gammatester
Dec 16 '18 at 15:19
$begingroup$
In your example, do you mean $n equiv 1 pmod {10}$?
$endgroup$
– Maged Saeed
Dec 16 '18 at 15:20
$begingroup$
@MagedSaeed I'm trying to figure out what the relation for $n$ is, basing on that I know $n mod m$.
$endgroup$
– mavavilj
Dec 16 '18 at 15:21
2
$begingroup$
This is hard to follow. It looks like you are just asking if $nequiv 2 pmod {20}$ but I am not at all sure this is correct.
$endgroup$
– lulu
Dec 16 '18 at 15:31