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In other words, if |supp| = K, there must exist λ and make the non-zero number of entries in T H λ { ϕ t i } equal to K. Therefore, using the phase update rule in GS-PhSparse, the recovered phase residual | | ϕ ̂ | | F is bounded.
If phase ϕ is a K-sparse on support set S, namely, S ≜ { ϕ : | supp | = K }, then there exists a thresholding parameter λ, with the phase update rule ϕ i + 1 ← TH λ { ϕ t i } = sign ϕ t i | ϕ t i | - λ +, the recovered relative phase residual | | ϕ ̂ | | F / | | ϕ | | F is bounded.
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This phase updates the mobile robot position (xk|k−1) according to its proprioceptive data acquired from odometers (φ l,φ r ).
Such an approach enables a classifier to acquire knowledge during application phase, updating the model with new data, and without explicitly retraining itself [14, 30].
The phase updating is performed using the following expression ϕ ̂ ( n + 1 ) = ϕ ̂ ( n ) + ρ u ϕ ( n ), (36). in which ρ is the step of the recursive filter and u ϕ (n) is the phase error detector, given by [33] u ϕ ( n ) = Im [ e − j ϕ ̂ s ∗ ( n ) r ( n ) ]. (37).
We then developed an automated requirements updating method comprising three phases: updating of user information, updating of the requirements for each space type, and adjustment of the numbers of space types to satisfy target utilization.
We generally choose larger values for k hap than for k because phasing updates require evaluation of k/2 HMM states per individual per SNP, whereas imputation updates require evaluation of only k hap states.
VQ_fk_nps based on the framework in [24] is composed of four main phases: initialization phase, cluster update phase, incomplete data update phase, and termination phase.
Second-gen iPhone in final phase; Apple TV update planned – report [Apple Insider].
The particles first enter the teaching phase and update their velocity based on their personal and global best information.
Thus, we need to restart the modeling phase to update the beaconing intervals after a certain period.
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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