التفاصيل البيبلوغرافية
| العنوان: |
Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations. |
| المؤلفون: |
Carbó-Dorca, Ramon |
| المصدر: |
Journal of Mathematical Chemistry; Mar2011, Vol. 49 Issue 3, p619-624, 6p |
| مصطلحات موضوعية: |
DEVIATION (Statistics), GAUSSIAN distribution, MEDIAN (Mathematics), GENERALIZED spaces, PHYSICAL & theoretical chemistry, MATHEMATICAL analysis |
| مستخلص: |
logical Kronecker delta reformulation of the absolute value function and the related discrete problem of the optimal absolute deviation are studied as the basic step towards applications of first order norms in theoretical chemistry. Absolute value function derivatives appear in the present context related to unit step function, Dirac delta function and its derivatives. The absolute value of the difference of two Minkowski normalized Gaussian functions is analyzed as an example. The proposed logical Kronecker delta deconstruction manner to express the absolute value function is also applied to the absolute deviation from the median of a set of numerical values, which looks to be just the optimal first order norm. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
