Sentence examples for basis given by from inspiring English sources

In this paper, a new generalized Ball basis, normalized totally positive (NTP) basis given by Delgado and Peña, is investigated.

Given a simplicial complex K, let (C_{p}(K)) denote the (mathbb {F}_{2} -vector space with basis given by the p-simplices oF}_{2} -vector

Consider a scalar (complex) polynomial P x) of degree n and a basis given by ({B_0 x), B_1 x), ldots, B_{n-1}(x), B_n(x)}).

There was an observed upper bound of moisture content loss (ΔM green) of 1.97 % per day on a green basis (3.96 % per day on a dry basis) given by the experimental data that should be acknowledged within the model.

When the final state of the composite system (measured system plus measuring device) is very nearly degenerate when written in the basis given by the measured observable and the apparatus's pointer (that is, when the probabilities for the various results are nearly equal), the spectral decomposition does not, in general, select as definite-valued properties close to those ideally expected.

Although in his proof Branciari makes the erroneous assertion that a g.m.s. is a Hausdorff topological space with a neighborhood basis given by B = { B ( x ; r ) : x ∈ S, r ∈ R + ∖ 0 }, with the aid of Proposition 3, Branciari's proof carries over with only a minor change.

Despite intra-cavitary usage being reported, the EFSUMB refrains from making recommendations other than use on a case-by-case basis given the lack of experience in this area [2].

Historically, standards defining 'clean' have been developed on a case-by-case basis given an analysis of the MEC risk present at a particular site and in conjunction with local or national land use regulations, stakeholder input, or the Restoration Advisory Boards [5]. Figure 1 demonstrates one such example of how MEC are distributed across large sections in California.

Thus, the risks and benefits of SGLT2 inhibitors should be assessed in older patients on a case-by-case basis given the newness of the drug class.

In our example, the maximal incoherence associated to the Fourier basis is given by the canonical or spike basis φ k (t) = δ(t -- k).

A lattice in is a -free module of rank n with basis B, i.e. Any other lattice basis is given by BM, where, the set of invertible matrices with integral entries (whose determinant is equal to ) (Artin, 1991 ▶).