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For each field, tracks were 'translated' to a common origin in space to allow direct comparison (number, direction and displacement).
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The origin of the PC-coordinate system can be obtained by translation of the origin in variable space to the average object ("centre of gravity" of the group) and this common origin of the PCs is called the mean centre.
This moves the origin in phase space to the middle of the ellipsoid.
Since the point that has most probability is the point that has the minimum standard deviation (Wallace 2005), the most probable point has minimum geometrical distance from the origin in U-space to any point on g(U) = 0.
It is proved that due to the rotational symmetry of the second-moment representation of the standardized normal distribution Z, the geometrical distance from the origin in Z-space to any point on f(Z) = 0 is simply the number of standard deviations from the mean value point in X-space to the corresponding point on f(X) = 0 (Choi et al. 2007).
Ross is getting more heavily involved in space policy because of the growth of private companies such as Elon Musk's SpaceX and Jeffrey P. Bezos's Blue Origin in space travel, exploration and commercial activities.
While gravity is always directed in the negative z direction, neither the x and y direction nor the absolute position of the origin in space are fixed between different observations.
Specific points of origin in space and time play an integral role in explaining the properties of species and the organisms that comprise them, most importantly how they interact with their surroundings, including other species.
Specific points of origin in space and time play integral roles in explaining the properties of species and the organisms that comprise them, most importantly how they interact with their surroundings, including other species.
Simulation results show that the proposed controller effectively regulate the response to origin in state space even under saturated controller input.
The localized nature of TOF-PET also allows to separate events based on their origin in image space.
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