Sentence examples for set of gradients from inspiring English sources
We also study the related question as to how large the set of gradients of a bump function can be, and among other results we obtain the following new characterization of smoothness in Banach spaces: a Banach space X has a C1 Lipschitz bump function if and only if there exists another C1 smooth Lipschitz bump function whose set of gradients contains the unit ball of the dual space X*.
The water diffusion is measured in each voxel along a set of gradients, u 1, …, u n ∈ S 2 (on the unit sphere).
They then took partial differentiations of this approximate log-likelihood function respectively with respect to CIR and CFO to obtain a set of gradients and set them to equal zeros thus establishing a system of simultaneous equations in terms of CIR and CFO (Note that, for frequency-selective channels, the CIR is actually a multi-dimensional vector whose dimension equals the channel length).
When antibiotics are given to a patient (or to livestock individuals), there is a wide set of gradients of antibiotic concentrations in the organic spaces, so that bacteria are confronted with a diversity of concentrations (Baquero and Negri 1997).
Type II affinity (Prestige and Willshaw, 1975 ) with single set of gradients and a competitive mechanism (Gierer, Whitelaw, and Koulakov); Gierer and Koulakov also gives a restricted projection in the Math5 −/− case.
The aim of this work is to design a set of gradient coils with an optimal geometry for magnetic resonance microscopy studies.
A single coherence transfer pathway is selected using an asymmetric set of gradient pulses, and both diffusion sensitization and convection compensation are built into the gradient coherence transfer pathway selection.
Furthermore, as well as propelling a magnetic device through the body, an MRI machine can also locate it.All of this is possible because an MRI machine contains both a large magnet that creates a strong magnetic field, and also a set of gradient coils that superimpose weaker but adjustable fields upon it.
The Tc, which can select against mismatched parental and undesired mutant templates from completely matched desired mutants was identified by a set of gradient-PCR with the generated clones from SDM and the same primer pairs listed in Table 1.
The amount of mRNA in a set of gradient fractions containing HP, LP or 80S species relative to its level in total RNA was determined by first calculating 2-ΔΔCt, where ΔΔCt = Ct(fraction)norm - Ct total)norm, Ct(fraction)norm= Ct(fraction GOI - Ct(fraction 18S, and Ct total)norm = Ct total GOI - Ct total)18S.
Type I affinity with a single set of retinal gradients together with variable collicular gradients (Willshaw) Models using countergradients cannot be ruled out but those using fixed gradients with no plasticity are excluded by the Isl2-EphA3 ki/ki data.
