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Since the derivatives of (X_{k,M}^{(m,ell)}) and (overline {X}_{k,M}^{(m,ell)}) are almost surely bounded for large M and K, the quantities |α 1| and |α 3| can be made smaller than ε/3 when η is small enough.
The proof for large m follows from essentially algebraic considerations.
The running time of the program demonstrates its effectiveness, especially for large M.
To prevent such issues, this study proposes a more efficient confidence interval to allow for high leverage and reduce the number of iterations for large m.
In particular, we provide a suitable uniform asymptotic expansion for Pνm(x) (for large m), which fills the gap left by previous methods.
which approaches 1 for large m.
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In other words, perturbations of the ion pressure and magnetic pressures should be anti-correlated for large m-number waves.
In contrast to the equivalence with norm approaches for large, M-GC estimators become more resistant to impulsive noise as decreases.
The efficiency of the RSD algorithm increases for larger m.
Analysis of on-orbit LETG/ACIS data for m=2-7 generated version N0005 Aug 20044); subsequent recognition of a systematic error caused by the spectral extraction region used in that analysis led to small reductions in the efficiencies of those same orders (2-92-9%ith the larger corrections for larger m) in N0006 Apr 20100; see bottom of this page).
But they decay rapidly for larger m.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com