Sentence examples for introduced basis from inspiring English sources

The introduced basis states are completed and normalized as: sum_{gamma}int {rm d}{mathbf{p}}int {rm d}{mathbf{q}} |{mathbf{p}}{mathbf{q}}gammaranglelangle{mathbf{p}}{mathbf{q}}gamma|= 1, (4) langle{mathbf{p}}^{prime}{mathbf{q}}^{prime}gamma^{prime}|{mathbf{p}}{mathbf{q}}gammarangle= delta({mathbf{p}}^{prime}-{mathbf{p}}) delta({mathbf{q}}^{prime}-{mathbf{q}}) delta_{gamma^{prime}gamma}.

Xiao et al. [8] proved that only enforcing the orthonormality constraints is not enough for the factorization-based method; therefore, they introduced the basis constraints to reduce ambiguity.

While the EPR system seems to be introduced on basis of an administrative rationality (top-down), the CDSs represent a technologically mediated departmental clinical rationality.

With a set of orthogonal unit basis introduced as the contravariant basis, the helical coordinate is firstly considered, where components of tensor retain the dimension of original quantity.

Introducing the basis of the low-voltage electricity market.

To this end, now we introduce the basis functions of the finite element space.

We end the section by introducing the basis for our proposed imagery of thought bubbles for an innovator.

This paper aims at introducing the basis of the formalization of the Sachem perception based monitoring and diagnosis approach.

SVMs is firmly based on the theory of statistical learning algorithms, uses classification technique by introducing radial basis function (RBF) kernel function.

In this work, we introduce radial basis function networks for detecting and predicting missing solder bumps, a typical defect in flip chips.

The current presentation does not aim at discussing the merits of space structures, but rather to introduce the basis of a new design philosophy that might stimulate and advance the customary thinking on the subject.