This illustrates the fact that the quantum states themselves in a particular (operator language) representation encode TQO and that the duality mappings, being non-local in the original representation, disentangle the order.
Section 2 is a rather substantial study of how this method yields the exact value of the norm of a particular operator between differentL2-spaces which arises naturally in Wiener Hopf theory and which has several puzzling features.
Again, we assume that this process is very fast, so that V, the fraction of time during which a particular operator is bound by a particular TF, in either apo or ligand-bound form, is simply the function of the current concentration of all the TFs which can bind this operator.
The definitions of particular operators in any of these three categories have their own pros and cons.
These methods are upwind and multidimensional, in that the numerical fluxes are obtained by solving the characteristic form of the full multidimensional equations at the zone edge, and that all fluxes are evaluated and differenced at the same time; in particular, operator splitting is not used.
Pay-off functions identify the response of a particular player (railway operator in this case) to the choices of the rest of the players (competing operators).
However, in a few cases the presence of only one operator site for a particular repressor results in leaky repression (e.g., λ1 in F10, F11, F14 and L2 in F6 and F26).
Theorem B If A is a homogeneous (in particular, linear) operator, Q ⊂ D A is a centrally symmetric convex set, then, for every N ⩾ 0 and δ ⩾ 0, Ω ( δ, A ; Q ) ⩽ E δ ( O, A ; Q ) ⩽ E δ ( L, A ; Q ) ⩽ ℓ ( δ, A ; Q ).
Several such schemes are under way: in particular, several operators in developing countries have joined together to aggregate their buying power, and Motorola, the world's second-largest handset-maker, has agreed to supply up to 6m handsets for less than $40 each (see article).
