Sentence examples for exponential functional from inspiring English sources

Baker et al. [7] have proved the super-stability of the exponential functional equation: If a function f: ℝ → ℝ is approximately exponential function, i.e., there exists a nonnegative number α such that | f ( x + y ) - f ( x ) f ( y ) | ≤ α. for x, y ∈ ℝ, then f is either bounded or exponential.

(Exponential functional) An exponential functional is an identity function of the differential operator.

The computing time of the algorithm is the product of a polynomial of degree 4 (a function of the number of leaves in the input data) and an exponential functional that depends on the maximal degree of polytomy in the species tree.

In reduction, they can be represented as exponential functional equations.

The results is applied to the study of some superstabilityresults for the exponential functional equation.

The exponential functional is therefore equivalent to Exp [ ϕ ( x ) ] = ∑ k = 0 ∞ 1 k !

Using the linear property, we can generalize the Wick product to the linear combination of exponential functionals.

This is similar to the fast decaying quasi-exponential functional treatment of background for 99mTc-MAG3 renal scintigraphy by the recently developed blood-pool compensation and modified Patlak-Rutland methods both of which do not use classical background regions [17, 42 44].

In full agreement with previous research [2, 28], the studied kinetics clearly obeys single-exponential functional with best-fitted time constant τ approaching 15.0 s for NHD (under saturation level of 0.33 GPa and narrow scattering of experimental variables enveloped within err = 1.8⋅10−3) and 18.7 s for elastic modulus E (under 7.2 GPa saturation and err = 2.8⋅10−3).

The curve is a fit to a power-law times an exponential function - a typical functional shape for skewed distributions where there is a natural maximum (in this case the total number of units).

The dependency of V/m on RCA shown in figure 5 suggests that V/m follows an inverse exponential function of RCA This functional form is reasonable, given that the effect of history decreases exponentially with time in our model (Wagner et al. 2007).