Sentence examples for by the function given from inspiring English sources

Sharpness can be shown by the function given by (3.15).

For each λ ∈ [ 0, 4 / 3 ] the second equality in (2.56) is attained by the function given by (2.10).

More formally, the gradient was defined by the function given below: 2 Here we use the notation ⌊ tMS Q⌋ for the closest integer smaller than tMS Q, and ⌈ tMS Q⌉ for the closest larger integer.

Genome coverage was estimated by the function given by Lange and Boehnke [ 21], assuming a random marker distribution, (1), where c was the proportion of the genome within d cM of a marker, was the estimated genome length and m was the number of markers.

The convolution of and is denoted by and defined to be the function given by.

By Lemma 2.1 iii), (iv), and (2.2), the function, given by.

The function given by (3.23).

and for the function given by (3.21).

Let us consider the function given by (3.24).

Hence, the function given by (2.64). is also holomorphic.

If and, the function given by (2.4) belongs to.