Sentence examples for power function we from inspiring English sources

However, when the weight is reduced to the power function, we will denote it by v, that is, (v(x)= vert x vert ^{alpha}).

Based on the power function, we estimated the half-life of soil R h (t 1/2) using the equation ( {t}_{1/2}=sqrt[ k]{0.5}={e}^{ln (0.5)/ k}, ) with k being the component as given in Eq. (3) in the method section.

We then considered a covariate model describing the influence of the weight (WT) on volume using a power function: We assumed a log-normal distribution of WT with a median and a coefficient of variation of 10% (quantiles 2.5 97.5%: 57 85 kg).

In particular, if ϕ0 and ϕ1 are power functions we obtain the well known result on (r, 1 -summability of the inclusion mappings between ℓp-spaces proved independently by G. Bennett (1 -summability. Anal.13, 20–27) and B. Carl (1974, Math. Nachr.63, 253–360).

For power functions we have the following formulas.

Regarding the values of the power functions, we have introduced the recursive formulas (15), (16).

Furthermore, being expressed as polynomials in power functions, we observe that the wave lengths of q-solitons increase as | x | increases.

Considering the well-defined power functions, we can introduce fractional operators in the frame of the time scales theory (see [6, 15] and [12, 18]) following the continuous paradigm (see, e.g., [1, 2]).

In this paper, to derive closed-from power functions, we formulate a statistical model for parallel items that relates the item scores to a measurement error problem.

For our particular power function (7), we use bisection to find the value of that yields (17).

To find the number of periods in the power autocorrelation function, we define the vector and its frequency transform, and we compute (18).