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One may always find an inertial reference frame with respect to which they are at rest and their energy in that frame equals mc2.
This construction is made possible thanks to the introduction of a reference frame with respect to which all the tasks are defined.
The geometrical nonlinearities are taken into account using derivatives of the local co-rotational frame with respect to global degrees of freedom.
The first part of the paper presents the mathematical calculations to design the reflector parabola curve and reflector elliptical frame with respect to equinox (solar declination = 0) by selecting a specific lateral part of a paraboloid.
If the right-hand side of equation (103) is strictly positive, in which case one says that the two events are timelike separated, or have a timelike interval, then one can find an inertial frame with respect to which the two events have the same spatial position.
Here's the catch: if you speak not of a collection of particles but of a single one, then you cannot define a random part of its motion and a net part (there is no reference frame with respect to which a random motion can be defined).
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Within the frame work of Brite-Euram programme CRASURV Commercial Aircraftt — Design for Crash Survivability', technology is being developed for the design of composite air frames with respect to crashworthiness.
In the present work a bespoke optimization software framework for the design of optimal bicycle frames with respect to the EFBe standard taking into account rider specific demands is developed.
To speed up the tracking of the noise spectral minimum, an increase in the importance of the current sub-frame, with respect to the other past subframes is proposed (17).
… The rule is framed with respect to the good of mankind; but our practice must be always shaped immediately by the rule".
Our work includes guidelines for the design of optimal transmission and reception Gabor frames with respect to the signal-to-interference-plus-noise ratio (SINR) criterion over an AWGN channel.
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