Sentence examples for vanishes to zero from inspiring English sources

Yet, of those that achieved total success, more than half took less than six months, and beyond 18 months the chance of success vanishes to zero — a finding shared with other types of reorgs.

The main one is that the regularized solution does not converge to the true solution as the noise variance vanishes to zero.

Also, [34] acknowledges that when all subcarrier channels carry the same amount of power, the (unconjugate) correlation function of multicarrier signals vanishes to zero and thus proposes unequal subcarrier powers (subcarrier weighting) to enable the proposed synchronization methods.

This is one of the deficiencies of the L-curve method, and it is due to the fact that the L-curve method is not a converging stopping rule, in the sense that the solution obtained using the L-curve method does not converge to the true solution if the noise variance vanishes to zero.

Then, a sticky proposal is any valid proposal pdf s.t. the L1 distance between q t (x and π(x) vanishes to zero when the number of support points increases, i.e., if m t →∞, begin{array}{*{20}l} D_{1}(pi,q_{t}) = |pi- q_{t} |_{1} & = int_{mathcal{X}}|pi z -q_{t}|pi z -q_{tS} z|mathcal{S}_{t}{mathcal{X}} d_{t}(z) dz to 0, end{array} (2).

The contacts width is taken into account as an additive correction factor, vanishing to zero for very small dimensions.

A red drape vanishes to reveal six women in aquamarine dresses, each with a train almost a yard long and with shoulders draped with matching shawls: as they stand there, their torsos tilting way back, it's the most theatrically effective moment in the show.

This value vanished to practically zero after grafting with different PCLs.

In the case of a/4〈1 1 1〉 APDBs, solute atmospheres follow the APDB until the APD vanishes by shrinking to zero radius, and therefore the Ms are always smaller than the intrinsic boundary mobilities because of the solute-drag effect.

Heike Kamerlingh Onnes of the Netherlands, the first to liquefy helium, cooled a thread of mercury to within 4 K of absolute zero (4 K equals −269 °C) to test his belief that electrical resistance would tend to vanish at zero.

Moreover, we demonstrate that the use of pseudo- and para-differential operators leads to the same boundary conditions if the nonlinear function to be linearized vanishes at zero.