%0 Journal Article %1 springerlink:10.1007/s10910-010-9781-4 %A Carbó-Dorca, Ramon %D 2011 %I Springer Netherlands %J Journal of Mathematical Chemistry %K analysis delta distribution function mathematics %N 3 %P 619-624 %T Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations %U http://dx.doi.org/10.1007/s10910-010-9781-4 %V 49 %X 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.

@article{springerlink:10.1007/s10910-010-9781-4, 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.}, added-at = {2011-07-12T01:09:25.000+0200}, affiliation = {Institut de Química Computacional, Universitat de Girona, 17071 Girona, Catalonia, Spain}, author = {Carbó-Dorca, Ramon}, biburl = {https://www.bibsonomy.org/bibtex/2f99d77fe7c22ca4130e9c353dfd17ee3/drmatusek}, interhash = {5f22b490bda0c0215daa223e4dd48c48}, intrahash = {f99d77fe7c22ca4130e9c353dfd17ee3}, issn = {0259-9791}, issue = {3}, journal = {Journal of Mathematical Chemistry}, keyword = {Chemistry and Materials Science}, keywords = {analysis delta distribution function mathematics}, month = {March}, note = {10.1007/s10910-010-9781-4}, number = 3, pages = {619-624}, publisher = {Springer Netherlands}, timestamp = {2012-11-24T22:22:54.000+0100}, title = {Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations}, url = {http://dx.doi.org/10.1007/s10910-010-9781-4}, volume = 49, year = 2011 }