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Therefore, the skin-pixel classification rule can be reformulated using Eq. (4).

In this case, our problem can be reformulated using a matrix representation.

These models were reformulated using a pseudo-transient continuation (PTC) approach to improve their robustness.

Anisotropic elastic shell model is reformulated using the nonlocal differential constitutive relations of Eringen.

Elastic theory of the graphene sheets is reformulated using the nonlocal differential constitutive relations of Eringen.

The Maxwell equations may be reformulated using the covariant and contravariant basis vectors (D'haeseleer et al., 1991).

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Guerlain's Mitsouko, for instance, has been reformulated, still using oakmoss, but grown without the molecule that causes allergic reactions in some people.

It is found that II and IV can be reformulated by using the variable transformation (u(x)=a+b-x) from I and III, respectively.

It maps problem-specific "domain theories", represented in propositional logic, into neural networks and then refines this reformulated knowledge using backpropagation.

That is, the speed of proposed algorithm is reformulated by using forward and backward steps, and it further smooth the location state; it results in larger estimation errors around the corners.

The argument relies on the method of moving spheres applied to a reformulated problem using the Caffarelli Silvestre extension (Caffarelli and Silvestre (2007) [11]) of a solution of the above problem.

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