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Either procedure identifies a low dimensional subspace in the DoD space, from which the actual DoD traces do not depart beyond a fixed distance related to the preset tolerance (ARREFADD methodology) or to the first neglected singular value of the matrix of DoD traces (ASVDADD methodology).
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They all show him from behind – distant, departing, beyond reach – but at the same time very close; just as he will seem for ever.
Mark Breier, the departing chief executive, joined Beyond in March 1998 from Amazon.com.
On a series as absurd as "Ghost Whisperer" or as chilling as "Medium" the departed communicate from the beyond to help in righting the wrongs of the breathing and malfeasant.
The speaker called "Socrates" now begins to move beyond and depart from the historical Socrates: he has views about the methodology that should be used by philosophers (a methodology borrowed from mathematics), and he argues for the immortality of the soul and the existence and importance of the forms of beauty, justice, goodness, and the like.
Gull, and Dr. Manhattan in "Watchmen," inhabit a mystical realm beyond time; they depart from Blake in having feet of clay.
Thus while pragmatism is sometimes characterized casually as the view that we should believe whatever "works," most self-described pragmatists are very careful to specify the conditions under which a subject can reasonably depart from, ignore, or go beyond her evidence (see pragmatism).
But the influence of the recently departed Chuck Berry extends beyond Young's playing and writing.
It is a population in a perpetual state of reinvention, with newcomers pouring in from Dhaka and Abuja, while others depart for the suburbs, the Sun Belt and beyond.
Nearly 40 years later, in Hilary Mantel's Beyond Black, the medium Alison is hounded by Morris, a deadly departed dwarf – and there is no reassurance.
Excess compressibility of the atmosphere beyond hydrostatic adiabatic process allows the air parcel to depart from hydrostatic equilibrium, resulting in a change in kinetic energy (i.e., wind speed) which comes from changes in enthalpy.
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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