Sentence examples for sums where from inspiring English sources

are solutions for the first M i power sums, where d m i = − d n i Open image in new window and σ i, 0 ( m i ) ( X ) Open image in new window are zero divisors in R i Open image in new window.

random variables with a non-degenerate distribution function F. For each n ≥ 1, the symbol S n /V n denotes self-normalized partial sums, where S n = ∑ i = 1 n X 1, V n 2 = ∑ i = 1 n X i 2. We say that the random variable X belongs to the domain of attraction of the normal law, if there exist constants a n > 0, b n ∈ ℝ such that S n - b n a n → d N, (1).

positive random variables with a non-degenerate distribution function and E X = μ > 0. For each n ≥ 1, the symbol S n / V n denotes self-normalized partial sums, where S n = ∑ i = 1 n X i, V n 2 = ∑ i = 1 n ( X i − μ ) 2. We say that the random variable X belongs to the domain of attraction of the normal law if there exist constants a n > 0, b n ∈ R such that S n − b n a n ⟶ d N. (1).

Dimensions are equally weighted and reported as sums, where the higher number indicates a greater burden of OA.

A final ranking list was then constructed based on these sums, where the first evaluation method of the list was considered to be the most congruent one (i.e. smallest ranking over all methods and standards combined).

We first defined the following Fourier sums: where j ranges from 0 to 4 and θ0, θ1, θ2, θ3, and θ4 are the torsion angles about the C2′−C3′, C3′−C4′, C4′−O4′, O4′−C1′, and C1′−C2′ bonds, respectively.

Best for large sums We checked rates on moving £150,000, a sum where you would be seriously upset if anything went wrong.

An integral 1-chain is a formal sum, where a i are integers.

Let us note that any sum where the lower index exceeds the upper index is assumed to vanish.

A simple proof shows that if k-distance TSPs are well-solvable, so is the QAP obtained by their sum, where the solution of 1-distance TSPs dominates all the others.

In this paper, we prove several new Krasnosel'skii-type fixed-set theorems for the sum, where is a multimap and is a self-map.