1. ## For - of

Hi,

I have a context as follows:

"Now, the estimation of/for B is given in the following lemma."

Would you tell me if I should use "of" or "for" or both in the above context?

Thanks
Last edited by LeUyenHoc; 02-Aug-2008 at 05:24.

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## Re: For - of

Originally Posted by LeUyenHoc
Hi,

I have a context as follows:

"Now, the estimation of/for is given in the following lemma."

Would you tell me if I should use "of" or "for" or both in the above context?

Thanks
The estimate of ...
What is lemma?

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Posts
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## Re: For - of

Originally Posted by LeUyenHoc
Hi,

I have a context as follows:

"Now, the estimation of/for is given in the following lemma."

Would you tell me if I should use "of" or "for" or both in the above context?

Thanks
Now, the estimation is given in the following lemma:
...
Omit for or of, as there's no noun they can relate to. Perhaps you have left something out?

Originally Posted by Clark
The estimate of ...
What is lemma?
Depending on the context, it can be an argument, a proposition (a subsidiary proposition proving the one that it follows)...

4. ## Re: For - of

Hi,

I appreciate your ideas. But I am sorry since I made a mistake in typing. Please, see my context again:

"Now, the estimation of/for B is given in the following lemma."

In this context, "lemma" means "a philosophical statement that you accept as true in order to find out whether another statement is true".

Would you tell me if I should use "of" or "for" or both in the above context?

Thanks

5. ## Re: For - of

Originally Posted by LeUyenHoc
Hi,

I appreciate your ideas. But I am sorry since I made a mistake in typing. Please, see my context again:

"Now, the estimation of/for B is given in the following lemma."

In this context, "lemma" means "a philosophical statement that you accept as true in order to find out whether another statement is true".

Would you tell me if I should use "of" or "for" or both in the above context?

Thanks
Most likely:
the estimation of B....

6. ## Re: For - of

Hi RonBee,

I learned your idea. Let me give more details related to that preposition:

"In order to prove Theorem 1, we have to need five steps. For the first step, we deduce B from A. Now, the estimation of/for B is given in the following lemma".

I guess "of" is used in the possessive cases. In our context, if we use "of", we may receive a equivalent phrase "B's estimation". However, I think "B" cannot own "the estimation" which is given by humans.

Looking forward to hearing more from you. Thanks

7. ## Re: For - of

• The lemma result follows for D. k j k. similarly. Proof of Theorem 1: First we consider estimation of B only. Simple manipulation of Eq. (19) gives a ...

• We first discuss the estimation of b. 0. (·, ·). Fix I ∈ I. By Lemma 2-(i), the upper. boundary b. 0. (·,I) is R + 1 continuously differentiable on Z. ...

"estimation of B" lemma - Google Search

8. ## Re: For - of

Originally Posted by LeUyenHoc
Hi RonBee,

I learned your idea. Let me give more details related to that preposition:

"In order to prove Theorem 1, we have to need five steps. For the first step, we deduce B from A. Now, the estimation of/for B is given in the following lemma".

I guess "of" is used in the possessive cases. In our context, if we use "of", we may receive a equivalent phrase "B's estimation". However, I think "B" cannot own "the estimation" which is given by humans.

Looking forward to hearing more from you. Thanks
Just curious. What course are you taking in which you discuss lemmas?

9. ## Re: For - of

Originally Posted by RonBee
Just curious. What course are you taking in which you discuss lemmas?

I am currently taking "Modern Real Analysis" in which there are a number of lemmas and theorems.

10. ## Re: For - of

Originally Posted by LeUyenHoc

I am currently taking "Modern Real Analysis" in which there are a number of lemmas and theorems.
Mathematics? Statistics?

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