Sentence examples for vectors as a function from inspiring English sources

Figure 3 Comparison of outage probablity with different weight vectors as a function of for user (exponential correlation model).

We calculated the imaginary part of the frequency-dependent dielectric function over the three principal light polarization vectors as a function of the photon energy using the DFPT/HSE06 method, and the obtained spectra are displayed in Fig. 6a [6a].

An example of these state vectors as a function of time is shown in Figure 2A, with time bin of Δt = 240 ms (this choice did not affect the results over a wide range of values, see 'Materials and methods').

These objects, referred to as viscous curl force-fields (so-called because one can plot the force vectors as a function of the state - in this case velocity of the hand), have allowed neuroscientists to study motor learning in highly novel situations unlikely to have been experienced outside the lab.

The discrepancy could be reduced by allowing some clockwise rotation of the slip vector as a function of strike direction from southwest to northeast.

The individually normalized norm of the model vector as a function of (alpha ^2) and data misfit is shown in a so-called L-curve (Hansen 1992) in Fig. 3 for the six example orbits.

Now if τ j ( x ̂ t j ) is the estimated time delay vector as a function of the j th location estimate x ̂ t j, then the j th model residual, R j, is defined as R j = | | τ ̄ o − τ j ( x ̂ t j ) | | 2. Clutter creates spurious time delay peaks in the radar range profile which are readily confused with genuine targets.

Technically, if J ( r, E, Ω ) ≡ Ω Φ r, E, Ω were the energy and angular distribution of the flow (current vector) as a function of position, the F1 tallies would measure: F 1 = ∫ A d A ∫ E d E ∫ 4 π d Ω n × J ( r s, E, Ω ) (1 where n is the outward normal to the surface at rs [15].

Technically, if J r, E, Ω) ≡ ΩΦ r, E, Ω) were the energy and angular distribution of the flow (current vector) as a function of position, the F1 tallies would measure F 1 = ∫ A dA ∫ E dE ∫ 4 π dΩn ⋅ J r s, E, Ω, Open image in new window (1).

where i and j are the magnetic field components, T denotes the time length, (tilde {B}) the Fourier transform of the magnetic field vector (as a function of the frequencies), and the bracket 〈〉 is the operation of averaging over time subintervals of about 2-min sliding windows with 50%% overlap.

A third extension adds to the two-stage model for transmission in humans, a mosquito submodel for the population dynamics of the vector as a function of observed temperatures and rainfall.