### Table 5. Figure 44 represents the ground state, while Figs. 45 and 46 represent local ground states.

### Table 2 Ps2 molecule ground state

"... In PAGE 6: ... The trial wavefunctions have been optimized minimizing the variance of the local energy using 10000 configurations, and their variational energies have been estimated using a VMC program. The results are shown in Table2 along with the exact energy and some reference calculations. The energies are quickly convergent, as can be seen from... ..."

### Table 5.1: Comparison of ground state energies computed via reduced density operators and full configuration interaction, averaged over 5 randomly generated Hamiltonians.

### TABLE II. Binding energy E2 B of two holes in the ground state of the Hamiltonian (7) at di erent exchange interactions J, EP couplings quot;p, and phonon frequencies h!.

### Table 5.1: Comparison of ground state energies computed via reduced density operators and full con guration interaction, averaged over 5 randomly generated Hamiltonians.

1999

### Table 2. Local Minima of the XY-Hamiltonian.

### Table 2. Ground literals representing the state in Figure1.

2001

"... In PAGE 32: ... The objects in this simple state include two boxes, the robot, a door, and a key for the door. The dynamic literals for this domain are shown in Table2 . Possible generalized literals for this domain include arm-empty, holding, carriable, pushable, dr-open, dr-closed, unlocked, locked, is-key, next-to, inroom, dr-to-room, and connects.... In PAGE 32: ... Possible generalized literals for this domain include arm-empty, holding, carriable, pushable, dr-open, dr-closed, unlocked, locked, is-key, next-to, inroom, dr-to-room, and connects. Assuming that the dimensions are listed in the order that the literals are enumerated immediately above, then the abstract state for Table2 is [0 1 2 1 1 0 1 0 1 1 3 2 1].10 The example presented in here is a segment of a recognition trace produced by the recognizer during an observation of a plan from a 4-room extended-STRIPS domain.... ..."

Cited by 10

### Table 4.Local Minima of the XY Hamiltonian on Direct Products of Cycles.

### Table 2: Size of the four ground-state clusters for the representative system and the minimal Hamming distances between them.

"... In PAGE 3: ... In contrast to earlier investigations the knowledge of all ground states and energetically low-lying states makes it possible to nd exactly all these clusters. In result of an analysis of the ground states of the representative system there can be found 4 clusters ( Table2 ). Due to the symmetry of the Hamiltonian, for every ground-state cluster a mirror image exists.... In PAGE 3: ... Additional to this trivial breaking of ergodicity at zero temperature there is a nontrivial one, caused by the two remaining di erent clusters. These clusters are not closely packed, but the large values of the minimal Hamming distances between di erent clusters ( Table2 ) leads to the conclu- sion that they seem to spread out over the whole phase space. To get an imagination which spin con gurations form a single cluster, the spins, which are xed in all con gurations of this cluster, are marked by lled (s=+1, spin up) or empty (s=-1, spin down) circles in the cubic 4 4 4 lattice (Fig.... ..."

### TABLE I LOCAL CONNECTIVITY VS. GLOBAL CONNECTIVITY

2004

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