Sentence examples for rotation v from inspiring English sources

The function φ is an auxiliary plane harmonic function from zero rotation (v, x - u, y ) denoted by ω z about z-axis.

The central rotation was fixed at the identity matrix and the preferred axis of rotation V was generated from the uniform distribution on the sphere for each simulation.

If the resulting matrix is T, then S T is said to have PARS distribution with central rotation S, preferred axis of rotation V, and concentration parameters κ and τ.

However, a comparison between still data sets measured at a synchrotron and an XFEL is needed to deconvolute the effect of rotation vs other differences between these sources.

Then, a rotation (from V to V ′) is applied in stage II-2 to every point of every visible object according to the following operation: V'=qVq^{-1};;mbox{where};; q^{-1}=q_{0}-q_{1} i-q_{2} j-q_{3} k. (1).

The current joint rotation, q v s j m, is therefore randomly selected inside a spatial range confined by six extremity quaternions, q v s j m i, (one maximum and one minimum for each spatial dimension, d = {x, y, z}).

As Bingham et al. (2012) show, by introducing the extra rotation around V, rotationally symmetric rotations are "smeared" to create nonsymmetric rotations.

where ρ is the air density, a is the section area of turbine rotation, and V is the wind speed.

Under future climates, we predicted that MLD may reduce rotation length V by as much as 42%, although the reduction averaged across all sites was 11%.

Such convection is sensitive to the Coriolis force: (3)where ω is the angular velocity of the satellite rotation, and v is the velocity vector of the fluid.

Note that each element in the noise vector is assumed to be a zero-mean circular symmetric complex Gaussian variable, which implies that the phase rotation of v will not affect its statistical properties, and (mathbb {E}lbrace mathbf {v}mathbf {v}^{H} rbrace ={sigma ^{2}_{v}}mathbf {I}_{N_{r} times N_{r}}).