Sentence examples for nonlinear directions from inspiring English sources

The diffusion sensitizing gradients were applied along 12 nonlinear directions (b = 1000 s/mm2), together with an acquisition without diffusion weighting (b = 0 s/mm2), average time = 3.

The diffusion sensitizing gradients were applied along 12 nonlinear directions (b = 1000 s/mm), together with an acquisition without diffusion weighting (b = 0 s/mm).

DTI was performed prior to contrast media injection, in the axial plane with single-shot spin-echo echo planar imaging with the following parameters: TR/TE 8000 ms/89.8 ms, gradients applied in 15 nonlinear directions, b = 0 and 1000 s/mm, FOV = 24 mm, slice thickness = 40 mm with gap = 1 mm and NEX = 1.

The standard Mesoscale Damage Theory (MDT) is modified to incorporate damage and inelasticity evolution in the fibre-direction, thereby capturing the unique nonlinear fibre-direction response evidenced in natural fibre composites (NFC).

We show that the proposed fixed point algorithms include ones with nonlinear conjugate gradient directions which can solve constrained smooth convex optimization problems.

In particular, algorithms with nonlinear conjugate gradient directions [23], [20], Subchapter 5.2, d_{n+1}^{ (f )} := - nabla f (x_{n+1} ) + beta_{n} d_{n}^{ (f )}, (1.18) where (beta_{n} inmathbb{R}), have been widely used as efficient accelerated versions for most gradient methods.

Our convergence analyses are performed by referring to useful results on unconstrained smooth nonconvex optimization (see [18, 19, 23, 28, 30 32] and references therein) because the proposed fixed point algorithms are based on the steepest descent and nonlinear conjugate gradient directions for unconstrained smooth nonconvex optimization (see (1.15 - 1.20)).

Solutions of the magneto elastic stress are nonlinear for the direction of uniform magnetic field.

Solutions of the magneto elastic stress are nonlinear for the direction of electric current.

The table system is designed symmetrically about the driving axis and consequently free from nonlinear behavior and direction dependency.

Textile composites may depict a nonlinear behavior along several directions.