Sentence examples for use this formulation to from inspiring English sources

We give a precise mathematical formulation of IFM and as an example, we use this formulation to specify the IFM method of Kwiat et al. We similarly define (nearly) interaction-free sensing (IFS), except that we impose an upper bound on the intensity to do the sensing (which again is an arbitrarily small multiplicative factor of the input intensity) whether or not the obstructing body is present.

We use this formulation to show that infinite estimates of abundance may arise, and provide a simple diagnostic to identify such cases.

"And I'd say, 'Well, I sure hope people think you're a good guy if you give away billions!' " Neilson told me that he still uses this formulation to answer criticism of his clients, but the comparison to Gates is imprecise.

Kronz used this formulation to characterize quantum chaos in open quantum systems (Kronz 1998, 2000).

We used this formulation to generate an abstraction of the frame geometry, i.e., an archetype, to be used as a reference for the design of new collections.

President Clinton and the Washington establishment used this formulation to sell economic engagement with China by granting it "most favored nation" status then Permanent Normal Trade Relations: democracy would flourish in China in tandem with a growing middle class.

Using this formulation to target endothelia-specific genes, such as CD31 (platelet endothelial cell adhesion molecule-1) or TIE-2, they demonstrated downregulation of the corresponding mRNAs and proteins in mice [ 28].

Examples are presented to illustrate the use of this formulation to minimize the cost of any bilateral contract to comply with the security requirements.

An enhanced interpolation of the transverse shear strains in the natural coordinates is used in this formulation to produce a shear locking free element and an enhanced interpolation of the membrane strains in the local coordinates is used to produce a membrane locking free element.

We give a general formulation of two-stage designs and show how one can use this formulation both to derive existing methods and to improve upon them, opening up a range of possible further applications.

We use this alternative formulation to discuss the existence of a solution of the general variational inclusions.