Exact(7)
The initial operator cutback, intended to save $1.7 million a year, was quietly included in a batch of belt-tightening measures in the authority's proposed 2008 budget, which was released last month.
For which it is possible to compute the fixed point, and therefore to approximate the fixed point of the initial operator.
Based on the multipole expansion of kernel, we demonstrate that the approximate operator used in the collocation equation converges to the initial operator.
He discovered in that paper a trace formula for (f(A -f B)) where A is the initial operator and B is a perturbed operator that involves the spectral shift function.
For a nonnegative self-adjoint operator A0 acting on a Hilbert space H singular perturbations of the form A0+V, V="∑1nbij〈ψj,⋅〉ψi are studied under some additional requirements of symmetry imposed on the initial operator A0 and the singular elements ψj.
An initial operator (Operator 1: Op 1) scored two symptomatic mice and one asymptomatic control mouse, using the RMCBS, while videotaping the procedure.
Similar(53)
Fix some pattern of mixed homogeneity and extract the senior homogeneous parts (relative to the pattern chosen) {σ1,…,σJ} from the initial operators {T1,…,TJ}.
Initial operators typically configured their A380s for three-class service, while adding extra features for passengers in premium cabins.
The initial prediction operator P0 and initial update operator U0 can be obtained once M and N are determined, where P0 = {p m }, m = 0,1,..., M - 1; U0 = {u n }, n = 0,1,..., N - 1.
If someone is racking up truly outrageous overage charges a good rule of thumb is anything beyond the price of the initial contract the operator should be sure to alert him.
Indeed, AM and related systems could explore only the fringe of the set defined by the initial basic operators.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com