For - of

[LeUyenHoc]

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

[Clark]

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?

[IvanV]

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?

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)...

[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

[RonBee]

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....

If I had more information I could be more sure.

[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

[Soup]

• 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

[RonBee]

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?

estimation - Definitions from Dictionary.com
estimation -- Britannica Online Encyclopedia

[LeUyenHoc]

Just curious. What course are you taking in which you discuss lemmas?

estimation - Definitions from Dictionary.com
estimation -- Britannica Online Encyclopedia

Thanks for your links and curiosity.

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

[RonBee]

Thanks for your links and curiosity.

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

Mathematics? Statistics?

Mathematical analysis - Wikipedia, the free encyclopedia