Every vista led to infinity, as did Louis XIV's view of his rule.
The canonical formalism of QFT as introduced in the previous section is only applicable in the case of free fields since the inclusion of interaction leads to infinities (see the historical part).
It is so hard to reconcile gravitation with QFT because the typical length scale of the gravitational force is very small, namely at Planck scale, so that the quantum field theoretical assumption of point-like interaction leads to untreatable infinities.
Approximations resulting from asymptotic studies of the microscopic plastic dissipation near the void and at infinity lead to an analytic yield function, the coefficients of which are not fully determined at this stage.
Linear stability analysis leads to a generalized eigenvalue problem (GEVP), whose numerical analysis may be challenging, even for Newtonian liquids, because the incompressibility constraint creates singularities that lead to non-physical eigenvalues at infinity.
Treating the space clos ( X ) in pair with the Hausdorff metric dist (called, in this case, the generalized Hausdorff metric, meaning it may equal infinity) does not lead to substantial results if, for instance, the corresponding maps have images that are infinitely distant from each other (such maps, obviously, are not continuous, and the classical methods of analysis are not applicable here).
From purely mathematical point of view such poles lead to quantities which do not tend to zero at infinity, and this situation is clearly unphysical.
Let's face it; a turbulent transition can lead to induced stress, financial strain, health issues, family problems, and the list goes on to infinity.
The assumption of their motion having gone on for all eternity leads to the conclusion that infinity can be increased, even multiplied, which Aristotle too held to be absurd.
This led in turn to infinities occurring in many situations; even the mass of a single electron was infinite according to QED because, on the timescales of the uncertainty principle, the electron could continuously emit and absorb virtual photons.
As n tends to infinity, the iteration leads to the solitary wave solution of (1), i.e. u ( x, t ) = lim n → ∞ u n ( x, t ).
