1. ## Provided...that

Hi,

Would you please paraphrase the following sentence?

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

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.

3. ## Re: Provided...that

Originally Posted by thod00
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,

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)

4. ## Re: Provided...that

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

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