Sentence examples for sums of elements from inspiring English sources

Note that the sums of elements have to be normalized in the same way as that done for histogram-shaped features.

Then, R is a G-graded ring if there exist additive subgroups R g of R indexed by the elements g ∈ G such that R = ⊕g∈GR g and R g R h  ⊆ R gh for all g, h ∈ G; here, R g R h denotes the additive subgroup of R consisting of all finite sums of elements r g k h with r g  ∈ R g and k h  ∈ R h.

You aren't the sum of elements of personality; you are something much deeper.

Let (hat{B}_i) denote the sum of elements in (B_i).

Any element can be written uniquely as the sum of elements of, using exactly one element from each block.

Then any element f ∈ X q uniquely can be expressed as the sum of elements of P q X q and G q.

where ℓ ( M ) = ∑ i > j M i j for any n × n matrix M = ( M i j ), representing the sum of elements in the lower triangular part.

To evaluate these elements, there is an additional condition that for each row, the sum of elements of K t) becomes 1, as (t to {infty }), i.e., (it sumnolimits_{j = 1}^{N} { p_{ij}= 1}) for all i = 1 N.

Then any element f ∈ X q uniquely can be expressed as a sum of elements of P q X q and W q. In a similar way as Lemmas 6, 7 of [3] we obtain, respectively, the following.

Most studies such as Simpson and Tsukui ([1965]) and Fukui ([1986]) define triangulation of an IOT as an optimization problem to maximize the sum of elements in the lower triangular part by permuting sectors.

The clustering problem is divided into some sub-problems each of whose objective function is represented as a sum of elements in the matrix, where each sub-problem corresponds to selecting a small cell.