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Usenet Posted 22 years ago
Learning

"lower bound on" or "lower bound for"

How to say:
"We compute a lower bound on the constant." or "We compute a lower bound for the constant."
"The constant" has been introduced somewhere.
Thanks in advance,
Sasha.
  

Top answer

"[/nq] If you mean by "bound" some kind of minimal value here, it should probably be "for". But if you mean "leap", it should also be "for". Franke: EFL teacher & medical editor.

  • "[/nq] If you mean by "bound" some kind of minimal value here, it should probably be "for".
  • But if you mean "leap", it should also be "for".
  • Franke: EFL teacher & medical editor.
  • For email, replace numbers with English alphabet.
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6 Answers
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sasha wrote on 11 Aug 2004:
[nq:1]How to say: "We compute a lower bound on the constant." or "We compute a lower bound for the constant."[/nq]
If you mean by "bound" some kind of minimal value here, it should probably be "for". But if you mean "leap", it should also be "for".

Franke: EFL teacher & medical editor.
For email, replace numbers with English alphabet.
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[nq:1]How to say: "We compute a lower bound on the constant." or "We compute a lower bound for the constant." "The constant" has been introduced somewhere.[/nq]
You will find both in mathematical writing. The latter is probably the more common.

J.
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[nq:1]How to say: "We compute a lower bound on the constant." or "We compute a lower bound for the constant." "The constant" has been introduced somewhere.[/nq]
The only difference I can see is that a lower bound on the constant is an externally-imposed limitation, whereas a lower bound for the constant is the lowest value it reaches on its own.
The nuance is extremely fine and probably no
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[nq:2]How to say: "We compute a lower bound on the ... bound for the constant." "The constant" has been introduced somewhere.[/nq]
[nq:1]The only difference I can see is that a lower bound on the constant is an externally-imposed limitation, whereas a ... fine and probably not worth worrying about. And I don't know how widespread my interpretation of the difference is, anyway.[/nq]
Neither
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[nq:1]How to say: "We compute a lower bound on the constant." or "We compute a lower bound for the constant." "The constant" has been introduced somewhere.[/nq]
I assume you're estimating a constant. Either is acceptable. Both are widely used. Very widely. Math, mathematically oriented computer science or physics. I don't know about more practically oriented comuter science or engineering or p

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