5 The courageous element was insignificant and exceedingly small; for in the light of the former great and manifold destruction of both lives and property they expected that anything whatever of a like character or worse might happen, inasmuch as they now had been utterly vanquished.
The matrix element for four-photon absorption is 8where both the summations over k and m cover the same manifold of ungerade states.
The One descends into the manifold of creation and reveals himself in it.
These basic aspects were the existence in nature of a manifold of different forms and of continuous change.
We construct Gaussian measures on the manifold of Riemannian metrics with the fixed volume form.
to a discrete manifold of paths but to a continuous one.
The authors computed the manifold of candidate spin structures and selected the physically meaningful solution.
LetSbe a linear manifold of bounded Hilbert space operators.
The geometry of the so-called mirror manifold of a Calabi-Yau manifold turns out to be connected to classical enumerative questions on the original manifold.
