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The upper and lower solutions for tunnel stability, which accurately bracket the true collapse load, are summarised in a series of stability charts for use in tunnel design.
The latter procedures employ a discrete form of the bound theorems of classical plasticity, use a bespoke conic programming scheme to solve the resulting optimisation problems, and bracket the true collapse load with upper and lower bound solutions to within 5% for all the cases considered.
But does this mean that true collapse has only happened when the result of a measurement impinges on our consciousness?
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If true, a collapse in share prices would bring the whole economy down with it.
The true plastic collapse of any ductile system can only be assessed through the satisfaction of the requirements of the uniqueness theorem.
Yet stellar researchers are fascinated by these strange impostors, which appear to mimic true core collapse Type IIn supernovae so faithfully that even now some observational astronomers aren't quite convinced which are actual supernovae explosions, and which are massive stars that have simply blown off a large portion of their outer stellar envelopes.
Whether true alveolar collapse or intraluminar oedema with increased impedance dominates is a matter of debate [ 3].
This was also true after collapsing the data across both right and left STGs (n=22, t(21)=1.25, P=0.22; see Supplementary Fig. 1).
His IMDb page says he was once a model for American Apparel for three days; when I ask him if it's true, he collapses into giggles.
It thus appears that the technological capabilities required for the realization of a large scale quantum computer are exactly those upon which the distinction between "true" and "false" collapse (Pearle 1998), i.e., between collapse theories and environmentally induced decoherence, is contingent.
This was especially true given the collapse of conventional empirical macroeconomic models.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com