The rotational invariance of energy is ensured by the implicit sum over the indices (i, j) in the above expression. In the Fourier representation, the energy depends on the quantities q, |u|, and (q · u) which are clearly independent of rotations. For other lattices, there are more elastic coefficients, since the energy should only be invariant under lattice rotations. For example, the symmetry...

The rotational invariance of energy is ensured by the implicit sum over the indices (i, j) in the above expression. In the Fourier representation, the energy depends on the quan­ tities q , |u|, and (q · u) which are clearly independent of rotations. For other lattices, there are more elastic coefficients, since the energy should only be invariant under lattice rotations. For example, the symme...

Water level monitoring is important for understanding the global hydrological cycle. Remotely-sensed indices that capture localized instantaneous responses have been extensively explored for water level reconstruction during the past two decades. However, the potential usage of the Palmer’s Drought Severity Index (PDSI) and El Niño Southern Oscillation (ENSO) indices for water level reconstruct...

Background & Aim: Energy is one of important debates in agriculture ecology and for this reason; the ratio of output and input energy in different agriculture ecosystems has been calculated. If one can reduce, input energy level into farms through the indices like poisons, fertilization, tractor energy and lab our force. In addition to the net income of the farmers, this issue would play a sign...

OBJECTIVE To assess bone-muscle (B-M) indices as risk factors for incident fractures in men. METHODS Participants of the Osteoporotic Fractures in Men (MrOS) Study completed a peripheral quantitative computed tomography scan at 66% of their tibial length. Bone macrostructure, estimates of bone strength, and muscle area were computed. Areal bone mineral density (aBMD) and body composition were...

abstract the aim of this survey is to compare utilization systems (cooperative, private and governmental) methods of energy consumption in soybean production and the evaluation of energy inputs effect in yield of soybean in moghan. for this purpose, the information were collected from 54 private farmers, 14 cooperative members farmers and 14 agro-industry units by questionnaire method. the maxi...