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We also provide translation-invariant fermionic Hamiltonians of bounded interaction length which cannot be generated by nearest-neighbor ones.

We also identify translation-invariant fermionic Hamiltonians of bounded interaction length which cannot be generated from nearest-neighbor ones (see Theorem 33 of Section 7.4).

In particular, translation-invariant Hamiltonians which cannot be generated from nearest-neighbor ones appear both for spin systems (Section 7.2) and for fermionic systems (Section 7.4).

We can show that there exist next-nearest-neighbor or third-neighbor interactions for odd d ≥ 5 which cannot be generated by these six Hamiltonians, while for even d ≥ 6 we provide a fourth-neighbor element.

These findings support the generation of an oxidizing intermediate from the altered diiron site in I119H which cannot be generated in WT.

The SV parts, ge and ng, which can and cannot be generated by the TG flow through Eq. (1) are designated as 'geostrophic SV' and 'non-geostrophic SV', respectively.

Obviously, situations exist in which complete data cannot be generated and inferences from, e.g., underpowered trials, single arm studies, surrogate end points, other populations will have to be made about the efficacy and safety of a compound to ensure access to treatment and availability of suitable therapeutic regimens to patients.

However, the problem of model checking in complex software systems is state space explosion in which all reachable states cannot be generated due to exponential memory usage.

To support interleavers of which the address sequence cannot be generated on-the-fly or cannot be vectorized, our architecture features extensive LUT support, as was described in Section 3.3 (e.g., 802.11a/g, 4 DVB-T).

The table also includes the numbers of entries that have InChI identifiers stored in a database but for which the InChI identifiers cannot be generated from SDF files (the extra in the database columns).

A drawback to the integration strategy of CTXφ is that the replicative form of the phage cannot be generated by prophage excision, which would eventually stop virion production.