Sentence examples for reference operator from inspiring English sources

As a byproduct we obtain a result on the approximation of clusters of resonant states by clusters of eigenfunctions of a self-adjoint reference operator.

We prove a sharp upper bound of the counting function N r) modulo o(rn) in terms of the counting function of the reference operator in the smallest ball around the black box.

This is achieved whenever there is a positive self-adjoint reference operator C that behaves well with respect to the Fβα, allowing us to prove that Dom C1/2 is left invariant by the operators Ut, thereby giving rigorous meaning to the formal expression above.

For a class of compactly supported hypoelliptic perturbations of the Laplacian inRn,n⩾3 odd, we prove that an asymptotic on the number of the eigenvalues of the corresponding reference operator implies a similar asymptotic for the number of the scattering poles.

We prove that the estimate of the number of the eigenvalues in intervals, 0reference operator L#(h) related to a self-adjoint operator L(h) is equivalent to the estimate of the integral over of the sum of harmonic measures associated to the resonances of L(h) lying in a complex neighborhood Ω of λ>0 and the number of the positive eigenvalues of L(h) in.

Enter a mathematical, comparison, text, or reference operator if desired.

Excel uses 3 reference operators: Range operator: a colon.

Use reference operators when working with ranges of cells.

For most formulas, you'll use a mathematical operator or 1 of the reference operators.

Moreover, the fuel consumption of the start-up process can offer a reference to operator of the real power plant.

Besides, it contains attributes related to availability, start time, period, and a reference to its operator.