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The convergence order of error is improved in the next theorem.
Fig. 14 Average registration errors for ground-truth points of all successfully registered image pairs (ascending order of error magnitude).
This comparison has revealed that RC-APP has one lower magnitude order of error than the LiDAR method.
Thus, the order of error estimates is O ( ( Δ t ) 2 + N − 2 ) proved in Theorem 3.2.
The order of error in the measurement of velocity is up to 20%% as reported by Bakke (1957) and the average error is ±2%% (Nakra and Chaudhry 2004).
Both the asymptotic and instantaneous filter orders defined above for time-domain noise must be distinguished from the Magnus order of error cancellation.
It works by compressing 3D blocks of floating-point data into a variable-length bitstream sorted in order of error magnitude.
Figure 14 gives the order of error for Example 4.2, where the number of nodal points covers the range from 1 to 10.
In future work, the authors will try to reduce the prior assumptions while keeping the same order of error estimation at the same time.
Moreover, when the symmetry of the inter-patch coupling matches that of the underlying microscale structure, patch dynamics predicts the desired macroscale dynamics to any specified order of error.
Hence, we can find a positive constant C, such that err ( 0.5, h, Δ t ) h 3 + Δ t ≤ C, which means that the order of error estimates is of O ( h 3 + Δ t ).
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