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Approximate, limited diffraction finite aperture, pseudo-Bessel beams having intense on-axis spots with large depths of field can be produced experimentally in the far infrared by using plastic conical lenses, known as axicons.
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If the naked eye has an approximate limiting magnitude of 6.0 then we shouldn't be able to see the LMC.
We conceive the developmental process in question as a series or sequence of abstract formal structures ("systems of order"), which is itself ordered by the abstract mathematical relation of approximate backwards-directed inclusion (as, for example, the new non-Euclidean geometries contain the older geometry of Euclid as a continuously approximated limiting case).
We also give conditions for the existence of approximate limits (in the sense of Denjoy).
The approximate limit of the Love wave speed is also given.
The explicit formulation of the approximate limit state function is derived by using the parameters of the ANN model.
A distinctive feature of these proposed methods is the introduction of an explicit approximate limit state function.
Andersen, S. L., Sebastiani, P., Dworkis, D. A., Feldman, L. & Perls, T. T. Health span approximates life span among many supercentenarians: compression of morbidity at the approximate limit of life span.
By introducing the derived approximate limit state function, the failure probability can be easily calculated, practically when the limit state functions are not explicitly known.
The approximate limit load solution for circumferential failure is expressed in terms of sheet thickness, nugget diameter and combinations of loads.
The explicit formulation of the approximate limit state function is then derived by using the parameters of the developed ANN model.
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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