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All these formulations involve an exponential number of constraints.
Some of the formulations involve solving for curl-conforming fields; such fields can be discretized with fewer unknowns than divergence-conforming ones, implying lower computational costs.
The most rigorous PLA formulations involve postulating a three-dimensional anchor-soil failure mechanism and deriving expressions for internal energy dissipation throughout the mechanism.
The new integral formulations involve weighted versions of the classical integral operators related to the thin-screen Dirichlet and Neumann problems as well as a generalization to the open-surface problem of the classical Calderón formulae.
Many weak formulations involve the class of Sobolev functions, which is a Hilbert space.
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The term "pro-choice" — already "a bit of a euphemism," Pollitt argues — is often replaced by broad formulations involving "women's health".
Both formulations involved three admixtures respectively.
Mixed formulations involving the specification of stress and displacement boundary condition are handled by combining Eqs.
Development of nanosuspensions offers a promising tool for formulations involving poorly water-soluble drugs.
In particular, we will demonstrate that the formulations involving constraints are vastly superior to the penalized formulations with high permittivity, which are widely used in practice.
The effects of toxic ions and chelators observed here have important implications for applications using CAMPs and for the design of novel formulations involving CAMPs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com