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In the case of discontinuous viscosity, we require a Lagrange multiplier term to enforce continuity of the fluid velocity.
where ρ f is the fluid density and f IBM is the IBM force, which acts as a source term to enforce the no-slip condition at the particle surfaces.
Firstly, a generic spatio-temporal regularization term is designed and used together with the standard ℓ1 regularization term to enforce a sparse decomposition preserving the spatio-temporal structure of the signal.
An active contour approach has been used for retinal segmentation [ 19], minimizing a region term and assuming consistent image intensity within one layer, with added terms for shape prior and a regularization term to enforce smoothness.
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TfL had asked cab drivers to call off their protest, saying it would provide "a full response" to concerns raised in a report titled Future Proof, which called for a long-term strategy to enforce taxi regulation and clamp down on illegal touting.
In the first extension, we use group-sparsity enforcing regularization term to impose the sparse structure.
Meanwhile, Gates said, there would be some short-term rule changes to "enforce this policy in a more humane and fair manner," for example, not taking action when a third person — say, an ex-boyfriend or girlfriend — lets the military know that someone is gay.
Then, a Godunov-type scheme is obtained by using a relevant average of the source terms in order to enforce the required well-balance property.
The quintic terms are constrained to enforce C1 continuity across element boundaries, allowing their use with partial differential equations involving derivatives up to fourth order.
The term (1c) is invented to enforce the monotonicity of the learned health index, i.e., (h_{n,t_{1}}geq h_{n,t_{2}}) if t1≥t2.
(f(mathbb {w}_{ij})) is the quadratic barrier function which enforces nonnegativity restriction on the model weights, (f Big (p({mathbf{h}} ^{(1)} mid mathbb {U}_{s}) Big )) is the (ell _1 -regularization term which is used to enforce sparsity on the latent topic representation learned by CRSM.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com