Sentence examples for generating vector from inspiring English sources

The extension to multivariate processes involves the derivation of the autocorrelation matrix from the marginal transforms, which determines the generating vector autoregressive process.

Let v be a Hurwitz generating vector and let (Gamma _vsubset G) be the union of the conjugacy classes of the (c_j)'s, (jle d).

Observe that the generating vector fields v and v ˜ for the group λ a and its conjugate λ ˜ a are related by v ˜ ( x ) = ( d ξ d x ( x ) ) − 1 v ( ξ ( x ) ). (154).

end{aligned}We set then (c_i : = mu (gamma _i)), (a_j : = mu (alpha _j)), (b_j : = mu (beta _j)), thus obtaining a Hurwitz generating vector, i.e. a vector begin{aligned} v : = (c_1, ldots, c_d, a_1, b_1, ldots, a_{g'}, b_{g'}) in G^{d+2g'} end{aligned}s.t.t

In the case of the dilation group when λ a is δ ˆ a and the generating vector field is v ( x ) = − x, the operator B ˆ = − i ω together with the infinitesimal generator A ˆ = 1 2 + ω d d ω for the action of the dilation group satisfy the commutator relation [ A ˆ, B ˆ ] = B ˆ. of the Lie algebra of the affine group Γ.

The amplified DNA fragment was digested by the Nde I and BamH I restriction enzymes and inserted between Nde I and BamH I restriction sites of pET-FLAG, generating vector pET-FU.

Understanding the biology of these viruses is essential in engineering better vectors and generating vectors more efficiently for large-scale use.

Without powerful ATPGs, chips are increasingly depending on (DFT) techniques to alleviate the high cost of generating vectors.

When the flux cone is projected onto the lower-dimensional space, new generating vectors may appear.

In this example, g1 and g3 (in 2D space) are the generating vectors of the projected cone.

This network has two EMs, which are the generating vectors of the flux cone, g1 and g2.