Explicit formulae for the 4 × 4 4×4 Lorentz transformation matrices corresponding to a pure boost and a pure three-dimensional rotation are very well known. Significantly less well known is the explicit formula for a general Lorentz transformation with arbitrary non-zero boost and rotation parame...
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Owning to the importance and great interest of differential operators, two generalized differential operators, which may be symmetric or assymetric, are newly introduced in the present paper. Motivated by the familiar Jackson’s second and third Bessel functions, we derive necessary and sufficient cond...
Of special importance is when modeling the interactive systems of computer of computer programs and continuous time dynamics. Due to this importance and since few of these differential equations can have a closed form solution, in real-world situations, numerical solutions are utilized to approximate ...