Sentence examples for removable singularity from inspiring English sources

Thus is a removable singularity.

has a removable singularity at.

If it is also analytic in zero, (rho= 0) is a removable singularity.

It is a monotonically increasing function of γ which has a removable singularity at γ=0.

The function F is analytic in D (of course, one has to redefine the function F at z = 0 where it has removable singularity).

For ν ∈ (0, 1) the function has a removable singularity at s = 1 as the residue of the function is zero.

The technique of removable singularities was used in [2] to remove singularities for monogenic functions with modulus of continuity ω ( r ), where the sets r n ω ( r ) and Hausdorff measure are removable.

In order to obtain the desired result, we use the method of removability theorems, which proved that under suitable condition, a result concerning removable singularities for equations defined by the A-harmonic operator satisfying the Lipschitz condition or of bounded mean oscillation extends to Clifford-valued solutions to the corresponding Dirac equation.

A theorem on removable singularities of -differential forms is proved and applied to quasiregular mappings.

Using the removable singularities theorem for harmonic maps with finite energy, we conclude that (Sigma ) is smooth.

The Cauchy Principal Values that arise from the VIE are computed accurately using a finite size exclusion volume together with explicit correction integrals consisting of removable singularities.