The space translation operator \ widehat { T } ( \ Delta \ mathbf { r } ) acts on a wavefunction to shift the space coordinates by an infinitesimal displacement ? "'r " '.
32.
Transformations describing relative motion with constant ( uniform ) velocity and without rotation of the space coordinate axes are called " boosts ", and the relative velocity between the frames is the parameter of the transformation.
33.
The crystal contains space coordinates to sector 9 as well as dire warnings about some undefined threat in space, so a decision was made to build the " Magellan " and discover the source of the meteor.
34.
Newton's 2'nd law is usually expressed as second order differential equations of space coordinates with respect to time, but it can also be expressed as Hamilton's first order differential equation of space and momentum coordinates with respect to time.
35.
To this class are assigned cases where " g " 0? can be made zeros by a simple change in the time coordinate which does not involve a choice of a system of objects that define the space coordinates.
36.
Once the light-space coordinates are found, the " x " and " y " values usually correspond to a location in the depth map texture, and the " z " value corresponds to its associated depth, which can now be tested against the depth map.
37.
Born and H . S . Green similarly introduced the notion an invariant ( quantum ) metric operator x _ k x ^ k + p _ k p ^ k as extension of the Minkowski metric of special relativity to an invariant metric on phase space coordinates.
38.
The green shaded region in the interior corresponds to the region of AdS covered by the half-space coordinates and it is bounded by two null, " aka " lightlike, geodesic hyperplanes; the green shaded area on the surface corresponds to the region of conformal space covered by Minkowski space.
39.
And is the operator for the-component of angular momentum : " i " . } } The perturbation can be seen as the strength of the applied electric field multiplied by one of the space coordinates ( This calculation is in atomic units, so that every quantity is dimensionless ).
40.
It prescribes a multidimensional divergence bounding scheme, based on a vector field that employs consistency vectors k = ( ?, ?, ? ), standing for maximum allowed "'t "'ime-or replica staleness, "'s "'equence-or missing updates, and "'v "'alue-or user-defined measured replica divergence, applied to all space coordinates in game scenario or world.
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