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Step 2, f i, i = 1, 2 transform continuously the set R + × R + into R +.
Assume that Ω is nonempty, bounded, closed, and convex subset of the Banach algebra E, and the operators P and T transform continuously the set Ω into E in such a way that P and T are bounded.
Lemma 3.2 The operators U i and F i, i = 1, 2 transform continuously the set Ω ⊆ B C ( R + ) into B C ( R + ) in such a way that U i and F i are positive and bounded.
Previous investigations, involving projections from higher dimensional lattices, have shown that these two rather simple structures can be regarded as "unmodulated" periodic approximants of a hypothetical quasiperiodic superlattice (QPSL) structure and that these can transform continuously into the QPSL through an infinitum of long period antiphase boundary (LPAPB) modulated structures.
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Classically, the higher symmetry of the Kepler problem allows for continuous alterations of the orbits that preserve energy but not angular momentum; expressed another way, orbits of the same energy but different angular momentum (eccentricity) can be transformed continuously into one another.
However, the metabolome is dynamic and metabolites are transformed continuously in the cell.
A way to think of this is to imagine a knot transforming continuously, so that every possible transform is realized at some time.
This commensurate (C) phase transforms continuously to an incommensurate (IC) phase at elevated temperature (a second-order phase transition).
The problem is that examples of each class of object transforming continuously though different positions on the retina, size, isomorphic rotation, and view are not provided to help the system learn about how a given type of object transforms in the world.
And products and services that have been there the whole time have been transformed almost continuously.
UH, the control variable for eNpHR3.0, was transformed into continuously modulated yellow light according to, (10) LED current 590 nm = U H (Amps ).
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