A way to think of this is to imagine a knot transforming continuously, so that every possible transform is realized at some time.
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.
However, the B0 and particles are known to oscillate, that is to transform continuously into their antiparticles and vice versa.
This commensurate (C) phase transforms continuously to an incommensurate (IC) phase at elevated temperature (a second-order phase transition).
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.
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.
... Identity becomes a "moveable feast": formed and transformed continuously in relation to the ways we are represented or addressed in the cultural systems which surround us". Hall scoffs at the idea of a core self, writing, "If we feel we have a unified identity from birth to death, it is only because we construct a comforting story or 'narrative of the self' about ourselves.
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.
