NDLI: Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations

Content Provider	Semantic Scholar
Author	Carbó-Dorca, Ramon
Copyright Year	2011
Abstract	A 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.
Starting Page	619
Ending Page	624
Page Count	6
File Format	PDF HTM / HTML
DOI	10.1007/s10910-010-9781-4
Alternate Webpage(s)	http://iqc.udg.es/articles/pdf/iqc777.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s10910-010-9781-4
Volume Number	49
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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