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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.
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.
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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.
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.
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.
In accordance with the REACH guidance, linear extrapolation was subsequently used to express the summed exposures in terms of additional cancer risk.
Also, it is easy to show that any element in Y is uniquely expressed as the sum of an element KerL and an element from ImL.
The total lung inflammation score was expressed as the sum of the scores for each parameter.
The formula is expressed as the sum of a Progressive Reductions Factor, a Latecomer Catch-up Factor, and a Gradual Equalization Factor.
The non-homogeneous ground profile is expressed as the sum of a variable mean and a zero mean random unevenness.
The total displacement of the plate is expressed as the sum of the displacement due to bending and that due to shear deformation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com