Sentence examples for expressing the sums from inspiring English sources

Further, Kim and Hu [24] obtained the closed formula of sums of products of any number of Apostol-Bernoulli numbers by expressing the sums of products of the Apostol-Bernoulli polynomials in terms of the special values of multiple Hurwitz-Lerch zeta functions at non-positive integers.

This summative understanding, then, considers attitudes attributed to groups to be nothing more than metaphors expressing the sum of the attitudes held by their members.

In accordance with the REACH guidance, linear extrapolation was subsequently used to express the summed exposures in terms of additional cancer risk.

Instead of naming a specific sum that will go into a trust, many wills refer to an amount up to the exemption or express the sum as a percentage of whatever the limit happens to be when the person dies.

First, we would like to express the sum transmit power as a closed form function of the SINR targets.

This allows us to express the sum of these series in terms of the considered trigonometric sums, and permits us to find sharp inequalities bounding these trigonometric sums.

Instead of naming a specific sum that will go into a trust, many documents refer to an amount up to the exemption or express the sum as a percentage of whatever the limit happens to be when the person dies.

At the same time, the function G expresses the sum of the squares of the deviations for all values over an hour, while the function A is calculated for one baseline value per hour.

Despite "This Land" later devolving into a bland patriotic staple, the song's full set of lyrics express the sum of Woody's philosophy about the good of the common people, the need to flatten out the economy so while the rich may still get the most, the poor get more than just some.

25 These sum scores will be plotted in a graph, that expresses the sum score per patient per month and the moment a transition has taken place.

Equations (6) and (7) express the 'incomplete' sum ∑ x ∈ V α ( x ) as a fraction of the 'complete' sum ∑ x α ( x ) plus an error term.