The value of (F_{t}) represents the maximal distance from the virtual coordinate in which a 3D pattern will be searched, and therefore defines the maximal size of the pattern.
The magnetic field data are first represented in the Venus Solar Orbital (VSO) coordinate in which the x-axis is in the direction to the sun, the y-axis points in the opposite direction of reference frame of the planetary orbital motion, and the z-axis is pointing northward from the orbital plane (in the same sense as that of geocentric solar ecliptic coordinate system).
The region along the reaction coordinate in which the particle is capable of tunneling is called the tunneling-ready-state (TRS) and can be thought of as a QM-delocalized TS.
These data have a sampling time of 0.031 s, 0.062 s, 0.125 s, etc. and are presented in Kronographic (KRTP) coordinates, in which (hat{r}) points from Saturn to the spacecraft, (hat{varphi }) is the unit vector of the azimuthal angle with respect to the magnetic axis, and the polar angle (hat{theta }) completes the right-hand orthogonal coordinate.
Suppose (varvec{q};x_{1},;y_{1},;theta_{1},;x_{2},;y_{2},;theta_{2} ]^{text{T}}) is a vector containing the system coordinates, in which (q_{i}) are the generalized coordinates of the systems and (dot{q}_{i}) are the generalized velocities, (Q_{i}) is the total generalized forces that are not related to the potential energy of the system.
Later models substituted the geometric z coordinate with a pressure coordinate system, in which the geopotential heights of constant-pressure surfaces become dependent variables, greatly simplifying the primitive equations.
In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point and an angle from a fixed direction.
The computer model involves a coordinate transformation in which the computational coordinates rotate with the impeller, allowing the impeller to be treated as a stationary blade in a rotating tank.
Therefore, there is a transition through the diffusion tensor from the x, y, z coordinate system defined by the scanner's geometry, to a new independent coordinate system, in which axes are dictated by the directional diffusivity information.
The absolute nodal coordinate formulation, in which global displacements and slopes are used as the nodal coordinates, is employed for the finite element discretization of the beam.
The obtained values are labeled on a Cartesian coordinate system in which |F 1,0)| N and |F 0,1)| N are x and y coordinates, respectively.
