The phrase "and inversion for the" is not complete and lacks context, making it difficult to assess its correctness in written English.
It could be used in discussions about grammar or sentence structure, particularly when referring to the inversion of phrases or clauses.
Example: "In English, we often use inversion for the formation of questions, such as 'Are you coming?'"
Alternatives: "and reversal for the" or "and rearrangement for the".
Based on this observation, an efficient and numerically stable algorithm for computing the singular points is devised, and inversion formulae for the singular points are derived.
In addition to the complexity of channel estimation, the additional complexity of ( Oleft ({N_{c}^{3}}right)) is introduced by the IRC receivers because of the estimation and inversion of the channel covariance matrix for the interference signals [65].
Leichtnam, F. Golse, M. Stenzel, Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian manifolds, Ann.
Pairwise r values were calculated between HapMap single nucleotide polymorphisms (SNPs) (release 23) and inversion genotypes for the 27 individuals examined (Supplementary Material, Fig. S3).
Am., 93, 2531 2545.] The parameters are obtained by acceleration envelope and displacement waveform inversion for the 2004 and 1986 events and MSK intensity pattern inversion for the 1977 event using a genetic algorithm.
The model was also used to analyze the effects of catalyst loading, gas density and superficial velocity, and column diameter and vessel aspect ratio on the hydrodynamics of slurry bubble column reactors, namely, the per-compartment phase holdups and interstitial velocities, pressure gradient, bubble coalescence and break-up rates, and loci of velocity inversion for the gas and slurry profiles.
Considering operators which are continuously invertible between the space L2[0,∞] and a Mellin Sobolev space H*s[0,∞], we propose a combination of a data smoothing algorithm and an exact inversion for the order optimal regularization of the equation.
Considering the differences in data and methods (waveform inversion for the CMT solutions versus the P-wave first motion method), we consider the focal mechanisms determined in this study to be consistent with the CMT solutions.
We derive a set of travel times from the data and perform a tomographic inversion for the depth and shape of the reflecting interface.
In an effort to provide additional geophysical constraints on these models, we performed a local, regional, and teleseismic tomographic travel time inversion for the lithospheric and upper mantle velocity structure and earthquake locations beneath the Alboran region in an area of 800 x 800 km^2.
