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The molecular charge density is considered a sum of the nuclear point charges and the electronic part developed in products of Gaussian-type functions.
Physiological data collected as a series in time may be considered a sum of rhythmic oscillations with distinct frequencies.
Physiological data collected as a series in time, as with any time series, may be considered a sum of sinusoidal oscillations with distinct frequencies.
Therefore, the integrated intensity of DMPO OH adducts may be considered a sum of DMPO OH formed from the addition of free OH (because of the exogenous Fenton reaction generated by the cycle) to DMPO and a portion of DMPO OH stabilized on a particle surface (as a result of the attack of DMPO to OH trapped on the surface).
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The Arsenal chief executive, Ivan Gazidis, was informed by his Anfield counterpart, Ian Ayre, that Liverpool would not consider a sum of £40m for Suárez when he lodged an opening offer of £30m plus £5m in add-ons.
Last week, Heliodoro Temprano-Arroyo, a senior official in the European Commission's macrofinancial assistance unit, said at a round table meeting in Cairo that the Union was considering a sum of €500 million to complement the I.M.F.
In its more generalized expression, we consider a sum of time-varying complex sinusoids (the partials).
First, we consider a sum of a scaled standardized binomial random variable x B,m and a standard normal random variable x N that are independent, sigma x_{B,m} + x_{N}.
If we consider a sum of harmonic sinusoids having a pitch period that corresponds to an integer number of sampling periods, where is referred to as the pitch lag, then perfect prediction can be obtained by using a one-tap pitch predictor, of which the PEF transfer function is given by (46).
As a final illustration, Newton considers a sum of two power laws C r) \propto a r^m + b r^n which multiplies the angular speed by a factor : k = \sqrt{\frac{a + b}{am + bn}} Newton applies both of these formulae (the power law and sum of two power laws) to examine the apsidal precession of the Moon's orbit.
The delay of the whole control loop can be considered as a sum of time delays.
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