Sentence examples for singularity of the operator from inspiring English sources

Therefore (lambda =pm frac{n}{2}), (n in N) is a spectral singularity of the operator (L_{G}).

Note that by the singular values of the operator (L_{lambda}) we mean the eigenvalues and spectral singularities of the operator (L_{lambda}).

If (operatorname{Im}lambda_{n}^=0) or (operatorname{Im}lambda_{n}^=0), then (lambda_{n}^{pm}) are the simple spectral singularities of the operator (L_{lambda}).

Therefore, the line (operatorname {Re}(lambdaomega _{0})=0) consists of a continuous spectrum of (L_{lambda}), i.e. (sigma _{c}(L_{lambda})=l_{0}) and does not have a spectral singularity of this operator.

The cloaking based on singular transformations can not avoid a singularity of the resulting Laplace Beltrami operator because singular transformations blow up one point to a sphere.

Stable solutions of the inverse transport problem require that the singularities of the measurement operator, which maps the optical parameters to the available measurements, be captured with sufficient accuracy.

The singularity of the kernel of the fractional operators has recently motivated researchers to present new types of fractional operators with nonsingular kernels and their discrete versions [4 12].

These poles are called spectral singularities (in the sense of [11], p.306) of the operator (L_{lambda }).

Since (L_{lambda}) does not have eigenvalue, there is no singularity of operator (L_{lambda}^{-1}) at these points.

There are efforts to articulate alternative perspectives, regardless of the seeming singularity of the "Putin line".

(singularity of the BLMP 1 models).