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These eigenfunctions or 'conical wave harmonics' can be chosen in more than one way, e.g. (a) as standing wave modes which are finite at the vertex of the cone(s), but do not satisfy a radiation condition at infinity; (b) as propagating waves satisfying a radiation condition at infinity, and generally singular at the vertex of the cone(s).
Recall that exactly these methods do not satisfy a homothetic test proposed (see Sects. 5, 7 and 9, respectively).
It shows only that beliefs (or phenomenal qualities) do not satisfy a demand (for an 'extra' causal contribution) that is incoherent in itself.
By being non-strict the generalizations in the special sciences do not satisfy a condition that is traditionally associated with laws of nature, namely the condition of universality.
Due to the same reasons, the Löwdin charges (as well as other conventional atomic charges) do not satisfy a sum rule.
Rule of searching weak attribute (RSW): the RSW provides all the attributes that directly depend on a given level and that do not satisfy a level conformity constraint.
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However, the most widely used Ti alloy for medical implants, Ti 6Al 4V, does not satisfy a major requirements about non-toxicity and low elastic modulus close to that of cortical bone.
But he stuck to his position that the Government's own legal advice militated against a ban, which he said did not satisfy a legal requirement for "necessity" and "proportionality".
But the new plan did not satisfy a group of patients who said they were waiting longer than people in other parts of the country who were less ill.
Chance of rejecting an infeasible solution (a solution that does not satisfy a constraint).
Notice that f does not satisfy a growth condition of Nagumo type.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com