Later on, Lyra [2] proposed a further modification of Riemannian geometry and removed non-integrability of length transfer by introducing a gauge function into the structure-less manifold as a result of which a displacement vector arise naturally.
The alternative of treating these objects as mere constructs of the mind that more or less fit the manifold of everyday-experience clearly was not to Plato's taste.
The flow distribution is less sensitive to the outlet manifold than the inlet manifold.
The 'how' of these manifold reactions is less obvious.
It implies that data are disposed along a manifold with a dimensionality d less than dimensionality d o of the original data space.
The "AAM GM" is able to identify these manifolds but is still slightly less good as "AAM 560," that will be discussed hereafter.
Their chances of realizing the manifold benefits of education are far less than the girls of any other region in the world.
This is presumably caused by the manifold increase in bone surface and less by increased metabolism at these sites, as binding capacities of cortical and trabecular bone are only slightly different.
In addition, they have had less visible applications for example, the glass-reinforced nylon air-intake manifold on some BMW models.
Temperature-controlled solutions are delivered directly to a single cell(s) through a multibarreled manifold that switches solutions bathing a cell in less than 1 s.
In a parallel and equivalent manner with some assumption about space-time manifold, we can obtain aforementioned result but with very less calculation.
