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  1. #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 04:24.


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    #2

    Re: For - of

    Quote Originally Posted by LeUyenHoc View Post
    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?

  2. IvanV's Avatar

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    #3

    Re: For - of

    Quote Originally Posted by LeUyenHoc View Post
    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?

    Quote Originally Posted by Clark View Post
    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)...

  3. #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

  4. RonBee's Avatar
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    #5

    Re: For - of

    Quote Originally Posted by LeUyenHoc View Post
    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.

  5. #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

  6. Soup's Avatar
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    #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

  7. RonBee's Avatar
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    #8

    Re: For - of

    Quote Originally Posted by LeUyenHoc View Post
    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?

  8. #9

    Re: For - of

    Quote Originally Posted by RonBee View Post
    Just curious. What course are you taking in which you discuss lemmas?
    Thanks for your links and curiosity.

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

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    #10

    Re: For - of

    Quote Originally Posted by LeUyenHoc View Post
    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?

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