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It indicates that curvilinear elements of degree 2k+1 should be used for optimal convergence rate of order k+1.
Both the zeroth-order event distribution and its 1-D projection indicate that the zeroth-order is heavily piled up with an unpiled event rate of order 10 events per frame time (per few square ACIS pixels).
The filter shows the capability of estimating the attitude better than 5 deg and rate of order 0.03 deg/s in each axis.
Mehrdad will do a guest post on this problem soon, but the short answer is that with only a logarithmic number of calls to the regular oracle one can attain a rate of order for smooth optimization (while with only the noisy oracle the rate is ).
In this paper Bach and Moulines show that in the case of the square loss (whose strong convexity parameter depends on the smallest non-zero eigenvalue of the covariance matrix of the covariates) one can obtain a rate of order (i.e. with no dependency on the smallest eigenvalue ).
Now, we state that the iterative scheme (2.12) has at least a convergence rate of order (m+1).
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Studies have shown a staggering rate of orders being made.
The founders say Wanderables is on a $14 million run rate of orders processed so far.
The highest rates of order growth were reported in agriculture, communications, finance and banking, construction and utilities.
Using these bubbles, we discovered an extensive stream (or river) of swarm fluid flowing clockwise along the leading edge of an Escherichia coli swarm, at rates of order \(10 \mu m/s\), about three times faster than the swarm expansion.
The simple and robust jet reactor is suitable for competitive reactions needing dissipation rates of order 102−104 W/kg to attain high selectivities.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com