Sentence examples for spectrum of differential from inspiring English sources

Nevertheless we describe completely the essential spectrum of differential operators (1.3) under rather general assumptions on the function v.

Section one covers diagnosis for benign and malignant effusions including the etiological reasons for the accumulation of effusions that provides the reader with the full spectrum of differential diagnoses at this anatomic site.

Many areas including mathematical physics, engineering, economics, and quantum mechanics need the spectrum of differential and discrete operators to solve some problems.

In this situation, it is very likely to have a broad spectrum of differential diagnosis in which the US has been of paramount importance in leading to their reduction.

The spectrum of differential responses amongst breeds for alveolar macrophages is shown in.

The authors described a broad spectrum of differential diagnoses which were summarized in twelve categories, see Table  3.

Making a diagnosis is often more difficult, because there is a larger spectrum of differentials to consider including annular pancreas, intussusceptions, duodenal web, etc. Symptoms often include abdominal pain and vomiting, although in a large proportion of case, the emesis is non-bile-stained.

The properties of the spectrum of delay differential algebraic equations of retarded type are analyzed and an integration method to compute the mean and variance of the spectral abscissa, which describes the stability property of the system, is presented.

The symmetry breaking of the supporting surface induces magnetic anisotropy which lead to characteristic fingerprints in the spectrum of the differential conductance and can be well understood with simple model Hamiltonians.

In this study, we investigate the discreteness and finiteness of the negative spectrum of the differential operator L in the Hilbert space (L_{2} ( H, [ 0, infty)) ), defined as (Ly=- frac{d^{2} y}{d x^{2}} + frac{A(A+I)}{x^{2}} y-Q x y), under the boundary-Q x ytion (y ( 0 ) =0).

In various applications to physical problems, a function can be decomposed into physically meaningful eigenfunctions of a differential operator (typically the Laplace operator): this forms the foundation for the spectral study of functions, in reference to the spectrum of the differential operator.