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We show how the diffusion operators can be handled so as to yield the property of robust damping, i.e. dissipating the solution at all values of the parameter DΔt, where D is a diffusion operator and Δt the timestep.
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Not only did it yield the properties of the hydrogen atom but it also allowed the use of simple approximating methods for more complicated systems even though the equation could not be solved exactly.
Their characteristics combine with those of other neighbouring grains to yield the properties of the entire nanomaterials.
Our suppositions further these ideas, in particular suggesting how inversions and duplications can complement each other to yield the properties of extant genomes.
Furthermore, keeping the high-pass and band-pass subbands undecimated, as in the SPT, yields the property of shift-invariance.
Then, the waveguide is modelled using the WFE method, where the FE model of a small segment of the waveguide, whose cross-section could be arbitrarily complex, is post-processed to yield the wave properties of the whole waveguide.
Briefly, the difference between measured data and a diffusion-based model of light propagation through the medium [ 36– 38] is minimized to yield the optical properties.
Designing a laminate based on its stiffness properties requires finding the optimum lamination stacking sequence to yield the required stiffness properties.
Static tensile and compressive tests were conducted to yield the basic material properties and strength.
Static testing was conducted to yield the basic material properties of elastic modulus and static strength.
How nature tunes sequences of disordered protein to yield the desired coiling properties is not yet well understood.
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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