Sentence examples for background operator from inspiring English sources

Our main result proves unitary equivalence of the doubly commuted operator, restricted to the orthogonal complement of the eigenspace corresponding to the newly inserted eigenvalues, with the original background operator.

Our main result states that, under a suitable assumption on the regularity of the random variables, the integrated density of states of such random operators is locally Hölder continuous at energies below the bottom of the essential spectrum of the background operator for any nonzero disorder, and at energies in the unperturbed spectral gaps, provided the randomness is sufficiently small.

Mutation is a background operator which produces a random change in chromosomes, and maybe it results in a chromosome with a higher fitness value.

Mutation is a background operator which produces spontaneous random changes in some individuals.

We study the integrated density of states of random Anderson-type additive and multiplicative perturbations of deterministic background operators for which the single-site potential does not have a fixed sign.

Background from operator theory, addition and multiplication theorems for operators, spectral properties of infinite-dimensional operators, the free additive and multiplicative convolutions of probability measures and their classical counterparts, asymptotic freeness of large random matrices, and free entropy and free dimension.

"Is that your wife I hear in the background?" the operator asked the man on the phone.

We provide a complete spectral characterization of the double commutation method which introduces eigenvalues into arbitrary spectral gaps of a given background Schrödinger operator in L2(R) respectively in L2 0, ∞)).

MR. WILLIAMS: Please, what do we have to do, we have to put -- [More background voices] OPERATOR: Sir. MR. WILLIAMS: Oh my God -- yeah?

The testing of the equipment includes determination of the effects of regional speech variations, background noise, and operator speech fatigue.

HERMES, a bipedal robot (foreground) designed for disaster response, punches through drywall while keeping its balance, guided by a human operator (background).