Sentence examples for sum corresponding to from inspiring English sources

This suggests the following definition for the fractional sum corresponding to the fractional difference with discrete Mittag-Leffler function kernel.

The first term of the sum, corresponding to w=d min, is also known as the "error floor".

A separable Hamiltonian can always be transformed into a sum of separate Hamiltonians with one element in the sum corresponding to each subsystem.

Then for any integer a with ( a, p ) = 1, we have the identity C ( a, p ) = − 1 π 2 ( p − 1 ) ∑ χ mod p χ ( − 1 ) = − 1 χ ¯ ( a ) τ 2 L 2 ( 1, χ ¯ ), where χ runs through the Dirichlet characters modp with χ ( − 1 ) = − 1, and τ = ∑ a = 1 p − 1 χ ( a ) e ( a p ) denotes the classical Gauss sum corresponding to χ. Proof See reference [11].

FC measures the effective separation between normal random variables X ∼ n (μ1 σ1) and Y ∼ n (μ2 σ2) using the following measuref ([ 20, 21]): (16) FC (X, Y ) = | μ 1 − μ 2 | σ 1 2 + σ 2 2. We use FC to measure the separability of the distance sum corresponding to the true split (which should be the minimal sum for consistent SR functions) from the two remaining sums.

For each department, all the 32 phantoms were simulated and the results were summed corresponding to each department's method of gating, i.e. if 8 or 16 gates were used.

Particle sums corresponding to each of these total exposures were then added to the empty area corresponding to the movie sum they were extracted from.

These were then extracted from movie sums corresponding to 12.6 e−/Å, 19.6 e−/Å, and 53 e−/Å weighted with the exposure filter.

Particle sums corresponding to 12.6 e−/Å, 19.6 e−/Å, and the total sum of 53 e−/Å were calculated, along with particle sums for the whole 53 e−/Å weighted with the exposure filter.

Mass isotopomers of lactate and ribose were measured; to compare them with model prediction, the sums corresponding to respective measured mass isotopomers were calculated and the fractions with respect to the total amount were found.

Based on the effective radiation damage reflected in the data, we would expect the PSSNR at high resolution to be highest for the exposure-filtered sums, followed by the unfiltered sums corresponding to 12.6 e−/Å, 19.6 e−/Å, and 53 e−/Å.