Sentence examples for requires sum from inspiring English sources

Recall that the constraint λ ≤0 requires (sum _{Omega }2^{bar {I}_{Omega }+H_{Omega }(K }geq 1).

The method only requires sum and multiplications as major computational operations and bypasses complicated triangular factorizations and eigenvalue decompositions of the symbolic force density matrix.

In order to index a node's transition from degree d to degree d+1, we must append (d+1)2−d 2=2d+1 entries to u. Indexing a node of degree d is thus an O d) operation, and the array u requires (sum _{v in V} {d_{v}^{2}}) entries.

The log-likelihood measure is fast and efficient and simply requires summing the log of the model pdf value at each data point.

It requires summing over all the possible population paths defined by the numbers of offspring of each organism in each generation, weighted by their probabilities, an impossible task.

Obtaining an individual's imputed dose requires summing over both, if both are non-zero.

Estimating the parameters of birth-death Markov models using likelihood maximization requires summing over many latent variables.

Calculating the score in both long and short versions requires summing the response options selected in the factor's items, standardizing the score to range from 0 to 100.

Evaluating the objective function requires summing the weights of all satisfied paths, and for every potential edge flip that is considered during greedy local search we must determine which paths are still satisfied.

To make up the required sum, she even has to submit to sex with the abortionist.

Harriet Harman, the shadow secretary of state for culture, media and sport, said: "It is not justifiable for the BBC to pay double the contractually required sum to the director general on his resignation.