Sentence examples for distortion estimate from inspiring English sources
The distortion estimate of K in terms of the hyperbolic metric was observed by Bers & Royden earlier and it is from this that we will be able to make our explicit distortion estimates below.
Then for each (0<ale b < 1), there is a K-quasiconformal mapping (f:Omega rightarrow Omega,) (f|partial Omega ={text {identity}}) and (f({h=a}) = {h=b}) with the <span class="lh">distortion estimate begin{aligned} K le frac{tan frac{bpi }{2}}{tan frac{api }{2}} end{aligned} (7).
At time (lambda =t) we obtain the quasiconformal mapping we seek and the distortion estimate follows from (3) since (Kle e^{rho _{mathcal{S}}(0,t)}) and (rho _{mathcal{S}}(0,t)=rho _{mathcal{S}}({mathbb R},{mathbb R}pm t)=c), where (rho _{mathcal{S}}) denotes the hyperbolic distance of (mathcal{S}).
The lattice distortion, estimated by calculating the δ-parameter under the assumption of a single solid solution phase, varied between 3.8 and 4.0% and slightly decreased with increasing Hf content.
When the reference line is known to be a quasiline the image of ({mathbb R}) under a quasiconformal map of ({mathbb C})—which occurs for instance when there is some symmetry about, it follows that all level lines are quasilines and it is possible to give explicit distortion estimates which contains global geometric information such as bounded turning for the curve, see for instance (8) below.
Power in HUTT is somewhat limited given the strength of distortion estimated in AGRE, and 10% of highly powered SNPs do show marginal TD in this data set, so this is not a clear failure to replicate; additionally, a distorter allele could have been lost through a founder effect in HUTT.
To this purpose, a specific module is designed to provide a probabilistic distortion identification estimate that eventually drives the prediction system.
The interference rejection ratio itself is given as a ratio of the ideal output power on the desired signal band and the distortion power estimate on the same band (see (38 - 41)).
Also distortion, growth estimates as well as covering theorem are derived.
Thus, although using the same conductivity model, the distortion matrices estimated by Love and Swidinsky ([2014]) and by us do not agree.
For MSE-ER, the end-to-end distortion is estimated by the ROPE model [3], which is well studied and regarded as an advanced MSE-based distortion model, and the Lagrange multiplier is calculated by the model presented in [8].
