On vs over an interval
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Which of the following sentences sound right?
- "It is defined on an interval"
- "It is defined over an interval"?
Are both correct? I have seen both usages but I just wondered if one is more correct?
grammaticality
edited May 2 at 15:19
Jessica Tiberio
882514
asked May 2 at 15:16
Maxim
346
bumped to the homepage by Community♦ 3 mins ago
This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
add a comment |
up vote
1
down vote
favorite
Which of the following sentences sound right?
- "It is defined on an interval"
- "It is defined over an interval"?
Are both correct? I have seen both usages but I just wondered if one is more correct?
grammaticality
edited May 2 at 15:19
Jessica Tiberio
882514
asked May 2 at 15:16
Maxim
346
bumped to the homepage by Community♦ 3 mins ago
This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Both sound odd to me, not knowing what the context is. We usually speak of something being defined by something else.
– Kate Bunting
May 2 at 16:11
@KateBunting The usage is in mathematics. If you look up the literature often they write one of them. But by is not really the right way to say it. Because the interval on itself does not defy anything
– Maxim
May 2 at 16:15
Indeed, mathematics does use these almost interchangeably.
– cobaltduck
May 2 at 19:16
Probably a better question for Math.SE.
– Mike Harris
Jul 2 at 13:01
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Which of the following sentences sound right?
- "It is defined on an interval"
- "It is defined over an interval"?
Are both correct? I have seen both usages but I just wondered if one is more correct?
grammaticality
edited May 2 at 15:19
Jessica Tiberio
882514
asked May 2 at 15:16
Maxim
346
Which of the following sentences sound right?
- "It is defined on an interval"
- "It is defined over an interval"?
Are both correct? I have seen both usages but I just wondered if one is more correct?
grammaticality
grammaticality
edited May 2 at 15:19
Jessica Tiberio
882514
asked May 2 at 15:16
Maxim
346
edited May 2 at 15:19
Jessica Tiberio
882514
asked May 2 at 15:16
Maxim
346
edited May 2 at 15:19
Jessica Tiberio
882514
edited May 2 at 15:19
Jessica Tiberio
882514
edited May 2 at 15:19
Jessica Tiberio
882514
882514
asked May 2 at 15:16
Maxim
346
asked May 2 at 15:16
Maxim
346
asked May 2 at 15:16
Maxim
346
346
bumped to the homepage by Community♦ 3 mins ago
This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
bumped to the homepage by Community♦ 3 mins ago
This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Both sound odd to me, not knowing what the context is. We usually speak of something being defined by something else.
– Kate Bunting
May 2 at 16:11
@KateBunting The usage is in mathematics. If you look up the literature often they write one of them. But by is not really the right way to say it. Because the interval on itself does not defy anything
– Maxim
May 2 at 16:15
Indeed, mathematics does use these almost interchangeably.
– cobaltduck
May 2 at 19:16
Probably a better question for Math.SE.
– Mike Harris
Jul 2 at 13:01
add a comment |
Both sound odd to me, not knowing what the context is. We usually speak of something being defined by something else.
– Kate Bunting
May 2 at 16:11
@KateBunting The usage is in mathematics. If you look up the literature often they write one of them. But by is not really the right way to say it. Because the interval on itself does not defy anything
– Maxim
May 2 at 16:15
Indeed, mathematics does use these almost interchangeably.
– cobaltduck
May 2 at 19:16
Probably a better question for Math.SE.
– Mike Harris
Jul 2 at 13:01
Both sound odd to me, not knowing what the context is. We usually speak of something being defined by something else.
– Kate Bunting
May 2 at 16:11
Both sound odd to me, not knowing what the context is. We usually speak of something being defined by something else.
– Kate Bunting
May 2 at 16:11
@KateBunting The usage is in mathematics. If you look up the literature often they write one of them. But by is not really the right way to say it. Because the interval on itself does not defy anything
– Maxim
May 2 at 16:15
@KateBunting The usage is in mathematics. If you look up the literature often they write one of them. But by is not really the right way to say it. Because the interval on itself does not defy anything
– Maxim
May 2 at 16:15
Indeed, mathematics does use these almost interchangeably.
– cobaltduck
May 2 at 19:16
Indeed, mathematics does use these almost interchangeably.
– cobaltduck
May 2 at 19:16
Probably a better question for Math.SE.
– Mike Harris
Jul 2 at 13:01
Probably a better question for Math.SE.
– Mike Harris
Jul 2 at 13:01
add a comment |
1 Answer
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active
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up vote
0
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I would say the second, "Defined over an interval" is more common, and "Defined at intervals" is more natural than "defined on an interval".
It is possible that they have two different meanings. For this, you might have to consider a fence analogy. A fence consists of fence posts and fencing between the posts. The fencing between the posts exists over an interval. The fence posts themselves occur on an interval (or at regular intervals).
It’s like the difference between average and instantaneous speed. Your average speed is defined over a specific distance or interval. Your instantaneous speed can be defined on or at intervals over your journey.
It is difficult to dismiss these as identical terms without more context. In this case, the mathematical formulae are probably more descriptive than the text.
answered May 2 at 18:27
Pam
3,2871425
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
I would say the second, "Defined over an interval" is more common, and "Defined at intervals" is more natural than "defined on an interval".
It is possible that they have two different meanings. For this, you might have to consider a fence analogy. A fence consists of fence posts and fencing between the posts. The fencing between the posts exists over an interval. The fence posts themselves occur on an interval (or at regular intervals).
It’s like the difference between average and instantaneous speed. Your average speed is defined over a specific distance or interval. Your instantaneous speed can be defined on or at intervals over your journey.
It is difficult to dismiss these as identical terms without more context. In this case, the mathematical formulae are probably more descriptive than the text.
answered May 2 at 18:27
Pam
3,2871425
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
add a comment |
up vote
0
down vote
I would say the second, "Defined over an interval" is more common, and "Defined at intervals" is more natural than "defined on an interval".
It is possible that they have two different meanings. For this, you might have to consider a fence analogy. A fence consists of fence posts and fencing between the posts. The fencing between the posts exists over an interval. The fence posts themselves occur on an interval (or at regular intervals).
It’s like the difference between average and instantaneous speed. Your average speed is defined over a specific distance or interval. Your instantaneous speed can be defined on or at intervals over your journey.
It is difficult to dismiss these as identical terms without more context. In this case, the mathematical formulae are probably more descriptive than the text.
answered May 2 at 18:27
Pam
3,2871425
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
add a comment |
up vote
0
down vote
up vote
0
down vote
I would say the second, "Defined over an interval" is more common, and "Defined at intervals" is more natural than "defined on an interval".
It is possible that they have two different meanings. For this, you might have to consider a fence analogy. A fence consists of fence posts and fencing between the posts. The fencing between the posts exists over an interval. The fence posts themselves occur on an interval (or at regular intervals).
It’s like the difference between average and instantaneous speed. Your average speed is defined over a specific distance or interval. Your instantaneous speed can be defined on or at intervals over your journey.
It is difficult to dismiss these as identical terms without more context. In this case, the mathematical formulae are probably more descriptive than the text.
answered May 2 at 18:27
Pam
3,2871425
I would say the second, "Defined over an interval" is more common, and "Defined at intervals" is more natural than "defined on an interval".
It is possible that they have two different meanings. For this, you might have to consider a fence analogy. A fence consists of fence posts and fencing between the posts. The fencing between the posts exists over an interval. The fence posts themselves occur on an interval (or at regular intervals).
It’s like the difference between average and instantaneous speed. Your average speed is defined over a specific distance or interval. Your instantaneous speed can be defined on or at intervals over your journey.
It is difficult to dismiss these as identical terms without more context. In this case, the mathematical formulae are probably more descriptive than the text.
answered May 2 at 18:27
Pam
3,2871425
edited May 2 at 19:08
answered May 2 at 18:27
Pam
3,2871425
answered May 2 at 18:27
Pam
3,2871425
answered May 2 at 18:27
Pam
3,2871425
3,2871425
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
add a comment |
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
To me, "defined at intervals" means something quite different from "defined on/over and interval". I'd expect "defined at intervals" to be relatively rare in mathematics and to mean something like "defined every once in a while".
– Andreas Blass
Oct 2 at 2:03
add a comment |
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Both sound odd to me, not knowing what the context is. We usually speak of something being defined by something else.
– Kate Bunting
May 2 at 16:11
@KateBunting The usage is in mathematics. If you look up the literature often they write one of them. But by is not really the right way to say it. Because the interval on itself does not defy anything
– Maxim
May 2 at 16:15
Indeed, mathematics does use these almost interchangeably.
– cobaltduck
May 2 at 19:16
Probably a better question for Math.SE.
– Mike Harris
Jul 2 at 13:01