Sentence examples for joined smoothly from inspiring English sources

Theory for least-squares (LS) estimation is developed for the basic bent cable, whose incoming and outgoing linear phases have slopes 0 and 1, respectively, and are joined smoothly by a quadratic bend.

We examined any potential nonlinearity in the exposure response relationship using cubic spline terms, piecewise polynomials joined smoothly at a number of break points (Hastie and Tibshirani 1990), for the exposure terms and comparing the nested models using a partial likelihood ratio test.

To calculate the bending energy of a bundle upon joining another one we have used a simple geometrical model, whereby its bent portion, of length l, is represented as composed of two oppositely (and moderately) bent, but otherwise identical arcs, joining smoothly each other to an s-like shape (as may be seen in Fig. 6b).

Splines are piecewise polynomials, being pieces defined by a sequence of knots ζ1 <  ζ2 < … ζ m, in such a way that pieces join smoothly at these knots.

Regression splines consist of selecting the number and location of the knots, and imposing restrictions so that the piecewise polynomials join smoothly.

A notionally straightforward approach to more flexibly modeling the lower left and upper right parts of the protection curve is a two-part splined model [ 31] consisting of two curves, each with their own exposure, location and slope parameters, but constrained to join smoothly at a 'knot'knot

These splines not only passed through all the values in the time series, but also joined them smoothly.

This is an important step to make sure the two legs can be joined together smoothly, and that you don't create awkward bunches and twists at the seams.

Two cubic curves can be smoothly joined by giving them the same slope at the junction.

The house has a brick foundation supporting smoothly joined logs that have been planed square and fitted together horizontally.

We contribute to this problem area by showing how to approximate a negatively curved surface by smoothly joined rational bilinear patches.