Sentence examples for continuation onto from inspiring English sources

Titchmarsh proved that the Green's kernel for h, originally defined for energies in ({mathbb {C}}_+), had a continuation onto the lower half plane with a pole near the discrete eigenvalues of h g, z, f) and he identified the real part of the pole with perturbation theory up to second order.

It is well known this construction plays a crucial role for a decomposition (L_{2}({mathbb{R}})) on two orthogonal subspaces, namely L_{2}({mathbb{R}})=A_({mathbb{R}})oplus A_({mathbb{R}}), where (A_{pm}({mathbb{R}})) consists of functions admitting an analytic continuation onto ({mathbb{C}}_{pm}).

The lag effect of change of the state/property along the time axis described by Continuation could be mapped onto the subjective domain.

It may be interesting to find out the contribution of the differences between rigorous and Helmert's orthometric heights on downward continuation of gravity anomalies onto the geoid, especially in mountainous areas, where there are significant differences.

Because of this accumulation onto (xi _{s}), the continuation of canard orbits with larger numbers of SAOs becomes a very delicate task numerically as ε decreases, which is why (xi _{10})–(xi _{15}) do not reach the singular limit (varepsilon =0).

The physical display of some of Ellison's records at the Jazz Museum, relics that passed through his hands and onto his turntable, is itself a continuation of this relay.

NY 18 merges onto the county line road, overlapping NY 272 along the county line for just under 1 mi to the continuation of Roosevelt Highway, where NY 18 continues east into Monroe County.

By conformally mapping a subset of the union of ({mathbb {D}}) and (Lambda ) containing ([0,infty )) onto the disk, one can do the analytic continuation by summing a mapped power series and so do numerics without an unjustified Padé; see Hirsbrunner and Loeffel [249].

In fact, the unnecessary fight over the continuation of the government's subsidized Stafford Loan program rates spilled onto the campaign trail this summer, culminating in pledges of support from both candidates and a 12-month extension.

b Ultrasound biomicroscopy of right eye, showing continuation of the iris granuloma into the ciliary body and then onto the sclera.

If caries on a root appears to be a continuation of extended crown caries not extending more than 2 mm onto the adjacent root area, no caries finding is noted for the root.