We present justification and a rigorous procedure for electron partitioning among atoms in extended systems. The method is based on wave-function topology and the modern theory of polarization, rather than charge density partitioning or wave-function projection, and, as such, reformulates the concept of oxidation state without assuming real-space charge transfer between atoms. This formulation ...

We discovered that the contemporary procedure for assessing voluntary activation of knee extensor muscles with transcranial magnetic stimulation (TMS) is invalid. TMS activates too few agonist quadriceps motoneurons and many antagonist hamstrings to estimate resting twitch accurately. A modified procedure, in which TMS-evoked superimposed twitches are considered together from femoral nerve stim...

In this study, a class of dynamic models based on metabolic reaction pathways is analyzed, showing that systems with complex intracellular reaction networks can be represented by macroscopic reactions relating extracellular components only. Based on rigorous assumptions, the model reduction procedure is systematic and allows an equivalent 'input-output' representation of the system to be derive...

We describe a polarization-selective beam splitter by a sandwiched grating, which can fulfill the high efficiency element for TE polarization and the two-port output for TM polarization. The modal method and the rigorous coupled-wave analysis (RCWA) are employed together to optimize the polarization-selective beam splitter. According to the modal method, the grating duty cycle and period are di...

shear wave velocity is a basic engineering tool required to define dynamic properties of soils. in many instances it may be preferable to determine vs indirectly by common in-situ tests, such as the standard penetration test. many empirical correlations based on the standard penetration test are broadly classified as regression techniques. however, no rigorous procedure has been published for c...

Demotivation is a relatively new topic in the field of second or foreign language acquisition which is in need of more rigorous research. In this regard, the present study was an attempt to investigate university students’ perceptions of seven demotivating factors in learning English as a foreign language across educational levels and fields of study in an Iranian context. To this end, three hu...

We construct a rigorous renormalisation scheme for analytic vector fields on T. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it. This is valid for diophantine frequency vectors.