Example sentences of "optimal over [art] " in BNC.

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1 We will say that a tableau is optimal over a degenerate interval , if θ = θ .
2 This gives the pivot indicated and leads to P3/T3 which is also optimal over a degenerate interval .
3 Now is equal to θ in the new tableau and , if this tableau is optimal over a degenerate interval , θ is the same for both tableaux .
4 Thus , if in all the columns which were critical in the preceding tableau , the current tableau must contain at least one new critical column , which means that the current tableau is optimal over a non-degenerate interval .
5 When applied to a sequence of tableaux optimal over a degenerate interval , this process can be interpreted as applying the simplex method restricted to the critical columns .
6 The finiteness of the simplex method , established in Chapter 3 , shows that in any sequence of tableaux optimal over degenerate intervals , we must eventually reach a tableau with for all critical columns j , and consequently , at the next iteration , a tableau optimal over a non-degenerate interval .
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