What does the overline mean in this: “What is the order of $overline{30}$ in $Bbb Z/54Bbb Z$?”
1
I apologize if this was posted already somewhere. I looked but had trouble describing it. My only question is what the overline means in this situation. I do not need help with the actual problem.
What is the order of $overline{30}$ in $Bbb Z/54Bbb Z$?
abstract-algebra group-theory notation
edited Nov 28 '18 at 23:10
Shaun
8,820113681
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
add a comment |
1
I apologize if this was posted already somewhere. I looked but had trouble describing it. My only question is what the overline means in this situation. I do not need help with the actual problem.
What is the order of $overline{30}$ in $Bbb Z/54Bbb Z$?
abstract-algebra group-theory notation
edited Nov 28 '18 at 23:10
Shaun
8,820113681
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
3
The overline probably denotes that it is equivalence class modulo 54 to avoid confusion with the integer 30.
– Bruce Zheng
Oct 9 '14 at 1:47
I am confused then because the second part of the question asks: Write all of the elements of $langle overline{30} rangle$.
– Meecolm
Oct 9 '14 at 1:52
By equivalence classes modulo 54 are just the elements of $mathbb{Z}/54mathbb{Z}$. For example, $overline{30} + overline{30} = overline{6}$ whereas $30 + 30 = 60$.
– Bruce Zheng
Oct 9 '14 at 1:55
1
@User52525: That's fine, here are a few members of $overline{30}$: $30$, $84$, $-24$.
– André Nicolas
Oct 9 '14 at 1:55
Ahh thank you I understand now.
– Meecolm
Oct 9 '14 at 1:57
add a comment |
1
1
1
I apologize if this was posted already somewhere. I looked but had trouble describing it. My only question is what the overline means in this situation. I do not need help with the actual problem.
What is the order of $overline{30}$ in $Bbb Z/54Bbb Z$?
abstract-algebra group-theory notation
edited Nov 28 '18 at 23:10
Shaun
8,820113681
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
I apologize if this was posted already somewhere. I looked but had trouble describing it. My only question is what the overline means in this situation. I do not need help with the actual problem.
What is the order of $overline{30}$ in $Bbb Z/54Bbb Z$?
abstract-algebra group-theory notation
abstract-algebra group-theory notation
edited Nov 28 '18 at 23:10
Shaun
8,820113681
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
edited Nov 28 '18 at 23:10
Shaun
8,820113681
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
edited Nov 28 '18 at 23:10
Shaun
8,820113681
edited Nov 28 '18 at 23:10
Shaun
8,820113681
edited Nov 28 '18 at 23:10
Shaun
8,820113681
8,820113681
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
asked Oct 9 '14 at 1:40
MeecolmMeecolm
164217
164217
3
The overline probably denotes that it is equivalence class modulo 54 to avoid confusion with the integer 30.
– Bruce Zheng
Oct 9 '14 at 1:47
I am confused then because the second part of the question asks: Write all of the elements of $langle overline{30} rangle$.
– Meecolm
Oct 9 '14 at 1:52
By equivalence classes modulo 54 are just the elements of $mathbb{Z}/54mathbb{Z}$. For example, $overline{30} + overline{30} = overline{6}$ whereas $30 + 30 = 60$.
– Bruce Zheng
Oct 9 '14 at 1:55
1
@User52525: That's fine, here are a few members of $overline{30}$: $30$, $84$, $-24$.
– André Nicolas
Oct 9 '14 at 1:55
Ahh thank you I understand now.
– Meecolm
Oct 9 '14 at 1:57
add a comment |
3
The overline probably denotes that it is equivalence class modulo 54 to avoid confusion with the integer 30.
– Bruce Zheng
Oct 9 '14 at 1:47
I am confused then because the second part of the question asks: Write all of the elements of $langle overline{30} rangle$.
– Meecolm
Oct 9 '14 at 1:52
By equivalence classes modulo 54 are just the elements of $mathbb{Z}/54mathbb{Z}$. For example, $overline{30} + overline{30} = overline{6}$ whereas $30 + 30 = 60$.
– Bruce Zheng
Oct 9 '14 at 1:55
1
@User52525: That's fine, here are a few members of $overline{30}$: $30$, $84$, $-24$.
– André Nicolas
Oct 9 '14 at 1:55
Ahh thank you I understand now.
– Meecolm
Oct 9 '14 at 1:57
3
3
The overline probably denotes that it is equivalence class modulo 54 to avoid confusion with the integer 30.
– Bruce Zheng
Oct 9 '14 at 1:47
The overline probably denotes that it is equivalence class modulo 54 to avoid confusion with the integer 30.
– Bruce Zheng
Oct 9 '14 at 1:47
I am confused then because the second part of the question asks: Write all of the elements of $langle overline{30} rangle$.
– Meecolm
Oct 9 '14 at 1:52
I am confused then because the second part of the question asks: Write all of the elements of $langle overline{30} rangle$.
– Meecolm
Oct 9 '14 at 1:52
By equivalence classes modulo 54 are just the elements of $mathbb{Z}/54mathbb{Z}$. For example, $overline{30} + overline{30} = overline{6}$ whereas $30 + 30 = 60$.
– Bruce Zheng
Oct 9 '14 at 1:55
By equivalence classes modulo 54 are just the elements of $mathbb{Z}/54mathbb{Z}$. For example, $overline{30} + overline{30} = overline{6}$ whereas $30 + 30 = 60$.
– Bruce Zheng
Oct 9 '14 at 1:55
1
1
@User52525: That's fine, here are a few members of $overline{30}$: $30$, $84$, $-24$.
– André Nicolas
Oct 9 '14 at 1:55
@User52525: That's fine, here are a few members of $overline{30}$: $30$, $84$, $-24$.
– André Nicolas
Oct 9 '14 at 1:55
Ahh thank you I understand now.
– Meecolm
Oct 9 '14 at 1:57
Ahh thank you I understand now.
– Meecolm
Oct 9 '14 at 1:57
add a comment |
1 Answer
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- $overline{30} = left[30right] =left{54m+30 : minmathbb{Z}right}$
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
add a comment |
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- $overline{30} = left[30right] =left{54m+30 : minmathbb{Z}right}$
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
add a comment |
2
- $overline{30} = left[30right] =left{54m+30 : minmathbb{Z}right}$
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
add a comment |
2
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- $overline{30} = left[30right] =left{54m+30 : minmathbb{Z}right}$
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
- $overline{30} = left[30right] =left{54m+30 : minmathbb{Z}right}$
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
answered Oct 9 '14 at 1:57
crskhrcrskhr
3,873925
3,873925
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add a comment |
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3
The overline probably denotes that it is equivalence class modulo 54 to avoid confusion with the integer 30.
– Bruce Zheng
Oct 9 '14 at 1:47
I am confused then because the second part of the question asks: Write all of the elements of $langle overline{30} rangle$.
– Meecolm
Oct 9 '14 at 1:52
By equivalence classes modulo 54 are just the elements of $mathbb{Z}/54mathbb{Z}$. For example, $overline{30} + overline{30} = overline{6}$ whereas $30 + 30 = 60$.
– Bruce Zheng
Oct 9 '14 at 1:55
1
@User52525: That's fine, here are a few members of $overline{30}$: $30$, $84$, $-24$.
– André Nicolas
Oct 9 '14 at 1:55
Ahh thank you I understand now.
– Meecolm
Oct 9 '14 at 1:57