Sentence examples for element sum from inspiring English sources

Namely, we take for every (sum _{xin X}a_xdelta _xin mathsf {B}) the corresponding element (sum _{xin X}a_xxin Phi =Bbbk [Xcdot G]), see Sect.

The right-hand side of this constraint is expressed as (i) the total workload of all the machines using resource element (r) which equal to (sum _{m"=1}^{M}sum _{p=1}^{P}sum _{N_p}sum_{o=1}^{{O_p}B_{rp}B_{r,o,p}times delta _{o,n,p,m",t}) (ii) divided by the number of machines having this resource element (sum _{m'=1}^{M}A_{r,m'}) and (iii) multiplied by a factor (Upsilon in (0,1)).

Note that, except corresponding to the main diagonal, all of the weak row element sums are positive and off-diagonal values of the matrix (boldsymbol {mathcal{M}}) are non-positive for sufficiently small values of mesh step-size.

Following Deming and Stephan (1940), this simple procedure can be shown to be equivalent to minimizing the sum of squares of the differences between the B* and B elements, ( sum {left {b}_{ij}^{ast }-{b}_{ij}right)}^2 ).

Fc is normalized so that the elements sum up to 1.0.

The nth (n=1,2,…,N) column of matrix T contains the elements summing up to the nth subarray.

Equation (14) gives the number of memory cells needed to store the ANN synaptic weights, products, and two-element sums necessary to process each CUT by the ANN.

Therefore, for our particular case of study (structure 3/15/1), a total of 76 memory cells (accesses to memory), 60 two-element sums and 60 two-element products are needed to implement it.

1 With a given K×1 vector x of non-negative elements summing to K, we always create a K×K real symmetric positive semidefinite matrix, i.e., correlation matrix A as A=U H diag(x U, where U is a unitary matrix.

We controlled one continuous variable at a time, namely the total brightness of the stimuli, the overall space occupied by the arrays (space encompassed by the figures), the density of the elements, and the cumulative surface area of the elements (summed area of figures).

The idea of dissecting the similarity score of the sequence-to-domain alignment into its fold-critical (i.e., 3D-structural elements) and remnant (i.e., non-globular elements) sums with subsequent statistical re-evaluation of their E-values was introduced in our recent work [ 19].