Sentence examples for biased direction from inspiring English sources

To randomly sample the biased angle θ B between the biased direction v ^ and the new scattering direction u ^ ', we use the same probability density function in Eq. (1) that is used to model the scattering angle as a function of the anisotropy factor in MCML.

After randomly picking a biased angle θ B away from the biased direction v ^, so that cos θ B = v ^ ⋅ u ^ ', the resultant biased scattering direction u ^ ' is rotated around the biased direction v ^ by an angle ϕ that is randomly picked from a uniform probability density function from 0 to 2π.

First, and most straightforwardly, one expects to see more 'neural choices' in the biased direction.

After randomly picking a biased angle θ B away from the direction of the apparent position of the collecting optics, the biased direction v ^, so that cos θ B = v ^ ⋅ u ^ ', the resultant biased scattering direction u ^ ' is rotated around v ^ by an angle ϕ that is randomly picked from a uniform probability density function from 0 to 2π.

This last procedure is equivalent to the one used in MCML software package to enable a full three-dimensional scattering, except that the scattered angle θ B in Eq. (7) is defined with respect to the biased direction v ^, as opposed to the direction u ^ in which the photon packet was propagating prior to that scattering event.

These additional scatterings, while most likely being in the forward direction, according to the standard scattering function in Eq. (1), decrease the correlation between the biased direction and the event in which the photon packet is collected by the tip of the fiber.

Since the actual choice of the bias distribution only affects the speed of convergence of the calculation, other biased probability function can also be used to randomly generate the biased scattering towards the bias direction v ^.

The C V curve shifts to a negative gate bias direction with increasing N2/O2 ratio.

Therefore, the retention behavior can be affected by the biasing direction and magnitude.

The bias direction is always negative, i.e., the models tend to underestimate the cell temperature.

By correcting for the bias, and knowing the bias direction, one can also infer about the underlying backward effect.