Sentence examples for exponential expresses from inspiring English sources

The exponential expresses the muon attenuation in the Earth for angle θ below the horizon, where X is the amount of matter (g/cm2) along the chord through the Earth.

The above is modelled by the integration of a combined Norton-like power law and an exponential law expressing the damage rates as a function of the associated thermodynamic dual forces.

In view of the theorems of a fractional exponential operator expressed in this section, we may apply this operator to PFDEs in the next section.

The spectra were obtained from the global fit analysis with linked time constants of a triple exponential function expressing the PL decay curve.

Throughout the present paper, as well as Paper I, we have assumed the exponential decay expressed by exp −kQ−1x/2) as usual, with x being the travel distance.

When assuming a Poisson process in which an event occurs randomly at a constant rate λ, the waiting time (Δt) follows an exponential distribution expressed as Pr Δt) = λe−λ Δt.

It follows that for U a sufficiently small neighborhood of (xi,), the exponential map expressed as begin{aligned} U ni eta mapsto 2^{-n} eta mapsto exp (2^{-n}eta ) mathop {mapsto }limits ^{S^n}(exp (2^{-n}eta ))^{2^n} = exp (eta ) end{aligned}is a diffeomorphism of U onto its image.

The rationale is that one can deduce the time-dependent changes in the density distribution of muon absorption in the interior of the object where an absorption variation, i.e., a density path variation, becomes an intensity variation since the muon energy spectrum is exponential or, expressed otherwise, it drops rapidly when the energy threshold increases.

For the non-accelerated part, it can be approximated using exponential functions expressed as P_{it} = P_{ hbox{max} } left{ {1 - { exp }left[ { - beta_{i} left( {t - t_{{{text{d}}i}} } right)} right]} right}left( {0 le P_{it} le P_{ hbox{max} } } right), (6 where t is the time and P it is the brake cylinder pressure of the ith wagon at the current time step.

To elaborate on this, we incubated exponential cells expressing dsRed-SYWT with the green fluorescent probe C1-BODIPY 500/510-C12, a fatty acid that serves as precursor for the biosynthesis of phospholipids.

However even slight PCR amplification efficiency inaccuracy, which is practically more than often confronted due to the fact that amplification efficiencies are estimates by all current method, may distort the results significantly because of exponential nature expressed Equ.6 [ 24].