We use the Einstein summation convention in which we sum over repeated indices which occur as a subscript and superscript pair.
In general, nonpolarizable force fields have been optimized by hyperpolarizing the charge distribution so as to reproduce the electrostatic energy of a system by a Coulombic summation in vacuo, which necessarily predicts a systematically elevated electric field intensity throughout space.
We compare the derived expressions to the reported expressions in [14, 15] in which summation and integration are used.
The accuracy of the closed form is very close to the previously reported expressions in which summation and integration are used to get highly accurate results.
However, it was that first delivery to Gatting in 1993 that almost became Warne's career in microcosm, a perfect summation of the manner in which he went about tormenting batsmen until he retired from Test cricket in 2007.
Linear combinations combine multiplication and summation; they are sums in which each term has a multiplier, usually a real or complex number.
The script offers a simple summation of the world in which he and his family find themselves, like so many Americans in the years after the bubble popped, through no fault of their own. .
Our model is, in essence, a summation of cost estimates in which numerous assumptions and decisions are embodied.
Another characteristic is facilitated temporal summation or 'wind-up', in which repeated identical stimuli become increasingly painful in spite of unchanged stimulus intensity 29, 34.
Measurement of pancreatic volume can be used to quantitatively monitor progression and/or improvement of atrophy and is commonly obtained by the "summation-of-areas" method in which the pancreatic tissue area from each CT slice is calculated and multiplied by slice thickness [43].
