Sentence examples for boundary singularity does not from inspiring English sources

2.3, that begin{aligned} mu _{gamma, 0}(mathbb {R}^n_+)= inf _{uin D^{1,2}(mathbb {R}^n){setminus }{0}}frac{int _{mathbb {R}^n}|nabla u|^2, dx}{left( int _{mathbb {R}^n}|u|^{2^{star }}, dxright) ^{frac{2}{2^{star }}}}, end{aligned} (126 and therefore we are back to the case where the boundary singularity does not contribute anything.

Then this singularity does not affect the asymptotics of large eigenvalues.

If (phi z)= z-omega_{0})^{m}), then the spectral singularity does not exist.

The use of outlier analysis in singularity does not ensure safe care; it merely acts as a trigger for further checks.

By contrast, inverse singularities do not cause this loss of stiffness.

It would therefore be quite a boon if Dr Mathur is correct, and singularities do not actually exist.His result also has a bearing on wider cosmological issues.

During this time, the phase singularities did not appear to be anchored to any significant anatomical structure.

Although the proposed method is based on local boundary integral equation, it does not require any fundamental solution, thus avoiding the singularity integral.

Yet the singularity of 1968 does not diminish its pertinence to our present turmoil.

To the best of our knowledge, most of the literature about boundary value problems did not involve the singularity of (G t, s)).

If elastic behavior is assumed, the boundary between stick and slip zones does not move, wear eventually ceases, and a mode-I singularity of contact pressure is predicted after infinitely many cycles.