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Ren-Chieh Lien and Thomas B. Sanford

inertial frequency. The positive frequency corresponds to upward phase propagation. Alternatively, we estimate Burger number B ¯ ⁡ ( T lp , H lp ) using linear regression analysis between ∂ t ζ z VM / f and ∂ t ∂ z η VM , low-pass filtered with half-power at temporal scale T lp and vertical scale H lp . An example is shown for T lp = 10 h and H lp = 10 m ( Fig. 16a ). Low-pass filtered ∂ t ζ z VM / f and ∂ t ∂ z η VM   are negatively correlated, as expected from (7) . Burger number B

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Jeffrey J. Early and Adam M. Sykulski

smoothing and the problem of guarding against model errors in regression . J. Roy. Stat. Soc. , 40B , 364 – 372 , https://doi.org/10.1111/J.2517-6161.1978.TB01050.X . Whittaker , E. T. , 1923 : On a new method of graduation . Proc. Edinburgh Math. Soc. , 41 , 63 – 75 , https://doi.org/10.1017/S0013091500077853 . 10.1017/S0013091500077853 Wide Area Augmentation System T and E Team , 2016 : Global positioning system (GPS) standard positioning service (SPS) performance analysis report. William

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Gualtiero Badin, Amit Tandon, and Amala Mahadevan

imagery. We think of this process study as examining lateral mixing during the growth phase of submesoscale ML instability, which could be viewed as growing on the edge of an underlying mesoscale feature. In what follows, we present the analysis of numerical experiments used to infer tracer mixing that is driven by submesoscale ML eddies generated from various frontal configurations. In section 2 we also review theoretical results for tracer dispersion and particle statistics that are useful for

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