The zero-sum fluctuations of Hass's material, some intellect followed by some feeling, coolness here, warmth there, at times become a formula more a recipe for soup than soup but at other times yield work that, exquisitely receptive to actual happiness, has opened up new territory for the personal poem.
The zero-sum fluctuations of Hass's material, some intellect followed by some feeling, coolness here, warmth there, at times become a formula — more a recipe for soup than soup — but at other times yield work that, exquisitely receptive to actual happiness, has opened up new territory for the personal poem.
Finally, Figure 5(c) confirms that the influential CPDs takes the form expected from the symmetry analysis, with the model only showing sensitivity to the sum of local fluctuations (sum_{i} Delta U_{i}) and sum of vertical coupling terms or horizontal coupling terms.
There was a sardonic saying that summed up these dizzying fluctuations: "The future is known it's always bright but the past keeps changing".
Thus, Equation 5 is representative of energy fluctuations, and summing over all the neighbors of the residue i shows the energy response ΔU i of residue i with its surroundings: Δ U i ~ ∑ j 〈 (Δ R ij ) 2 〉 (6 ) This is a thermodynamically meaningful quantity showing the mean energy response of residue i to all fluctuations of its surroundings.
Therefore, the blue line is the sum of the natural ozone fluctuations and the unknown influence of the random noise on the ozone time series.
The sum ((c_{1}+c_{2})) estimates the fluctuation variance (zero-lag autocorrelation), and (m_{2}) gives the slow decay-rate (inverse correlation time).
that implies the minimization of the weighted sum of the systematic and fluctuation errors in the desired estimate where the selection (adjustment) of the regularization parameter and the weight matrix A provide the additional experiment design degrees of freedom incorporating any descriptive properties of a solution if those are known a priori [3, 7].
Figure 12 depicts fluctuations of total drag force imposed to the three fins (that is obtained by summing up pressure drag force and viscous drag force).
The swimming speed u can be written as the sum of the mean and a fluctuation quantity (u′), i.e.e.e
