Sentence examples for index for which from inspiring English sources

The key to producing optical glass is rigid control of the refractive index, for which it is necessary to use highly controlled materials with impurity levels lower than the parts-per-million range.

Next, the index, for which the expression is maximized, is identified.

Let (k_{0}in{1,ldots,K+N}) be the largest index for which (beta_{n,k_{0}}to0).

Let m denote the largest index for which a m ≠ b m but a i = b i for i > m.

Let (k_{0}in{1,ldots,N}) be the largest index for which (beta_{n,k_{0}}to0).

Let (k_{0}in{1,ldots,M+N}) be the largest index for which (beta_{n,k_{0}}to0).

Now, let J be the set of all indices, for which (13) holds.

where i 0 is one of the indices for which the max is attained, and i 0 is assumed, without loss of generality, to be independent of k.

The set of indexes for which different disparity values are available is shown by L. A constant weight of K can be placed on the depth measurements.

We denote by and the sets of equality constraints indices for which a corresponding Lagrange multiplier is positive and negative, respectively, that is, and.

These methods are commonly used to quantify uncertain factors such as social and other qualitative indices, for which probability distributions are not available.