Sentence examples for with a reproducing from inspiring English sources

A new class of nonparametric covariance function estimators in terms of various spectral regularizations of an operator associated with a reproducing kernel Hilbert space is developed.

The functions are often generated from the following Tikhonov regularization scheme (see, e.g., [4 9]) associated with a reproducing kernel Hilbert space (RKHS) (defined below) and a sample : (1.1).

The flow-field velocity in the upwind region of a 1 100 scale model of this building was mapped in a wind-tunnel with a reproduced vertical velocity profile.

Using Lemma 2.1, we prove that the functional space associated with inner norm is a reproducing kernel Hilbert space.

In addition, a reproducing kernel with polynomial form will be constructed.

a d Reproduced with permission from Ref. [21].

a d Reproduced with permission from Ref. [31], © IOP Publishing.

(a d Reproduced with permission from Ref. [48], © 2015, American Chemical Society).

b An enlarged image of an inflated balloon catheter (green dotted area in a) (Reproduced with permission from Ref. [16], Copyright © 2011, Rights Managed by Nature Publishing Group).

b PTDH-PUPPET complex that catalyzes the hydroxylation of d-camphor by regenerating NADH with consumption of phosphite (a reproduced with permission from: Ref. [111]. Copyright (2010) Wiley VCH.

Amplicons were generated for all isolates, and the overall mating-type distribution did not deviate significantly from a 1 1 ratio (38.5% MAT1-1 and 61.5% MAT1-2; χ = 1.38; n = 26), consistent with a sexually reproducing species.