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A speech sound, such as a glide or liquid, produced by narrowing but not blocking the vocal tract, as by placing an articulator, such as the tongue, near another part of the vocal tract.
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ORIVE, Quadrature on the half-line and two point Pade approximants to Stieljes functions.
We produce in Table 1 a short table for comparison; we reused for this problem our approach with the same Pade approximants and obtained the following as approximations.
Prolla, "Fixed-point theorems for set-valued mappings and existence of best approximants," Numerical Functional Analysis and Optimization, vol.
Now, define [t.sub.j] as the smallest integer such that [mathematical expression not reproducible] and define our approximants as
Wazwaz, The modified decomposition method and Pade approximants for solving the Thomas-Fermi equation, Appl.
NSE# LFC# NLFC# NSE/LFC% articulation Total Fricatives f 17 0 0 100% v 13 3 4 80% [theta] 2 0 0 100% [eth] i 17 0 100% s 47 0 0 100% z 10 5 8 65.2% [??] 5 6 i 91.7% Affricates t[??] 10 0 0 100% d[??] 3 0 0 100% Liquids 1 23 24 0 100% Nasals m 37 0 i 97.4% n 51 0 2 96.2% [eta] 4 4 0 100% Approximants r 0 66 0 100% j 2 9 2 84.6% w 16 0 0 100% h 2 7 0 100% Total # 243 141 18 Total % 60.4 35-1 4-5 Manner of Cons.
On the other hand, to enlarge the radius of convergence of the truncated power series G([eta]) in (24), the Pade approximants which comprise the ratio of two unknown power series have been used to sum the series G([eta]).
Those selected five papers describe very important topics dealing with iterative maps from functional analysis, root-finding Pade-like approximants, recurrence relations from climate data, recursive optimization on modern traffic control systems, and dynamical analysis from partial differential equations reducing carbon emission based on strict government regulations.
Qaralleh, "Numerical approximations and Pade approximants for a fractional population growth model," Applied Mathematical Modelling, vol.
Zijlstra, "Hume-Rothery stabilization mechanism and e/a determination for RT- and MI-type 1/1-1/1-1/1 approximants studied by FLAPW-Fourier analyses," Chemical Society Reviews, vol.
Nine topics include properties of vector-valued submodules on the bidisk, a survey of some recent results on truncated Toeplitz operators, real complex functions, thin interpolating sequences, some open questions in analysis for Dirichlet series, and some problems on optimal approximants. ([umlaut] Ringgold, Inc., Portland, OR)