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  1. #1

    Provided...that

    Hi,

    Would you please paraphrase the following sentence?

    "This operator is contracted provided t > 0 is so small that C < 1."


    • Join Date: Feb 2009
    • Posts: 364
    #2

    Re: Provided...that

    I assume that C is dependent on t through some formula. If it is the only variable effecting C, then there is no need to mention t at all. Our criteria would be met simply by looking at C.

    So I assume C can vary, ie C < 1, through changes in other variables. This gives rise to the question of when is a small t small enough?

    Should the positive value of t be sufficiently small that C falls below one, then the operator is contracted.

  2. #3

    Re: Provided...that

    Quote Originally Posted by thod00 View Post
    I assume that C is dependent on t through some formula. If it is the only variable effecting C, then there is no need to mention t at all. Our criteria would be met simply by looking at C.

    So I assume C can vary, ie C < 1, through changes in other variables. This gives rise to the question of when is a small t small enough?

    Should the positive value of t be sufficiently small that C falls below one, then the operator is contracted.
    Hi thod00,

    Thank you for your suggestion!

    It is enjoyable since you completely understood what I meant. You are right, C actually depends on T and falls between zero and one.

    But I have not known why you used "should" in the paraphrased sentence.

    Love to hear more!

    Ps: In the case C in (0,1), can I say C falls between zero and one? (C is different from both 0 and 1)


    • Join Date: Nov 2008
    • Posts: 25
    #4

    Re: Provided...that

    I come to these boards to get away from math. Ah, it follows me everywhere.

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