Sentence examples for choice of coordinates from inspiring English sources

It is an argument that the privileged states of motion should not be mere artifacts of our choice of coordinates, i.e. that they should be coordinate-independent.

The Cramér-Rao kernel is thus one of the cornerstones for experiment design formulations that do not depend on the choice of coordinates.

This choice of coordinates allows the 3D Helmholtz equation, subject to boundary conditions specified on non-planar surfaces, to be solved with relative ease.

Combined with the equivalence principle, however, it implies that a central Newtonian idea that gravity is a force causing deviations from uniform rectilinear motion is based on an arbitrary choice of coordinates.

By the equivalence principle, however, free-fall trajectories satisfy all empirical criteria for being inertial trajectories, and so the distinction between the two types of trajectory depends on the mere choice of coordinates.

The derivation of the underlying nonlinearity contents via the geometric approach helps the analysis not to rely on a specific choice of coordinates and allows taking profit of the vector structure of the equations for further investigations.

This study examines the context of coordinated responses, triggers for coordinated responses, and preference for or choice of coordinating strategies in road traffic injury prevention at a local level in some OECD countries.

By a suitable choice of coordinate axes, the equation for any conic can be reduced to one of three simple r forms:x2/a2 + y2/b2 = 1, x2/a2 − y2/b2 = 1, or y2 = 2px,corresponding to an ellipse, a hyperbola, and a parabola, respectively.

Why, after all, should any genuine physical phenomenon depend on the choice of coordinate system?

In fact, however, the main different point comes from the independent choice of coordinate.

Best known of the non-invariant properties are those dependent on a particular choice of coordinate system.