2 Lorentz Transformation
of the Dirac as usually presented
where [LAMBDA] = [f.sub.1,[kappa]] is the Lorentz transformation
of Minkowski space corresponding to [kappa].
Based on the FDTD algorithm [7-9], Sahrani and Kuroda  analyzed the electromagnetic field with moving boundaries by combining the Lorentz transformation
. They did not, however, discuss how to introduce the incident plane wave source into the FDTD computational domain to deal with the scattered field from moving bodies.
Einstein's theses also discussed the Lorentz transformation
of black body radiation frequency.
 via the Lorentz transformation
of the quantities entering into Equation (5) (i.e., with the use of "configurational" definition of magnetic dipole moment).
The clock values and colours are assumed to be invariant under Lorentz transformations
. The colour of a particle changes every time the clock reading of that particle is an integer.
Correspondingly, we obtain the Lorentz transformation
relations for unified hydroelectromagnetic field of dyonic cold plasma, so that
Einstein's 1905 derivation of the Lorentz transformations
was based on the joint application of PLC and the relativity principle(10) (as well as the standard spatio-temporal symmetries).
If one fixes the gauge, then under a Lorentz transformation
[[LAMBDA].sup.[rho].sub.[mu]], the field [h.sub.[mu]v] transforms as
Loedel diagrams , a variation on space-ct diagrams allowing to display the Lorentz transformation
graphically, are used to demonstrate graphically length contraction, time dilation and other special relativistic effects in problems that involve two frames of reference.
the M-S transformation of time turns into the Lorentz transformation
Holonomy (2) of a loop containing the defect is a nontrivial Lorentz transformation
, which can be understood as a result of the presence of a delta-peaked curvature on the defect's world volume .