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By means of extrapolation method and Fourier transform estimate, we prove that the multiple singular integral operators are bounded on L p (ℝ n × ℝ m ) for the kernel functions: Ω ∈ L log L 2(Sn- 1× Sm- 1), h ∈ Δ ̃ α ( α ∈ ( 1, 2 ] ).
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Speaker-adaptive training (SAT) is performed with a single fMLLR transform estimated per speaker.
We also propose weighted functions of fuzzy numbers as a defuzzification procedure in order to transform estimated fuzzy claim costs into a crisp real equivalent.
About the Fourier transform estimates of ({sigma}_{Omega,h,phi,k}) with (Omegain H^{1}({{S}^{n-1}})), we have the following.
Of course, we remark that our result is mainly influenced by the idea and the technique established in [15]: Littlewood-Paley theory for product theory, Fourier transform estimates, etc. Remark 1.4.
To serve as a teacher DNN, we trained a SA input DNN baseline on the 110-h transcribed subset with one fMLLR transform estimated per speaker using the SAT GMM-HMM baseline and forced alignments of the reference transcriptions.
In [19], Al-Salman, Al-Qassem and Pan proved that T is bounded on L p (ℝ n × ℝ m ) for 1 < p < ∞ when Ω ∈ L log L 2(Sn-1× Sm-1) and h ∈ Δ α for some α > 1, where their technique mostly based on refining the Duoandikoetxea-Rubia's Fourier transform estimates and Littlewood-paley theory.
In an iterative process, false correspondences are eliminated and a suitable transform estimated assuming that there is no deformation.
Sampling variance was calculated using the jackknife procedure, appropriate for the complex, multistage sample design (21), and 95% confidence limits were calculated by taking the natural logarithm of the mean difference, estimating the standard error of the transformed estimate, deriving confidence limits, and back-transforming the confidence limits via exponentiation.
The back transformed estimate of the difference between average SP concentration in meloxicam and placebo-treated calves was 0.50 (95% Confidence interval: 0.26 to 0.96).
To facilitate interpretation of results mean differences were back-transformed from the square root transformed estimates to the original density scales, with reference values corresponding approximately to median values in the study population (i.e. percent density 30%, dense area 35 cm, lucent area 90 cm).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com