Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
Shaw, P; et al. Intellectual ability and cortical development in children and adolescents. Nature. 2006, 440 (7084): 676–679. PMID 16572172. doi:10.1038/nature04513.
Barker, PA; Street-Perrott, FA; Leng, MJ; Greenwood, PB; Swain, DL; Perrott, RA; Telford, RJ; Ficken, KJ. A 14,000-Year Oxygen Isotope Record from Diatom Silica in Two Alpine Lakes on Mt. Kenya. Science. 2001, 292 (5525): 2307–2310. PMID 11423656. doi:10.1126/science.1059612.
Smith, Kirstine. On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations. Biometrika. 1918, 12 (1/2): 1–85. JSTOR 2331929. doi:10.2307/2331929.
Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
Smith, Kirstine. On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations. Biometrika. 1918, 12 (1/2): 1–85. JSTOR 2331929. doi:10.2307/2331929.
Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
Shaw, P; et al. Intellectual ability and cortical development in children and adolescents. Nature. 2006, 440 (7084): 676–679. PMID 16572172. doi:10.1038/nature04513.
Barker, PA; Street-Perrott, FA; Leng, MJ; Greenwood, PB; Swain, DL; Perrott, RA; Telford, RJ; Ficken, KJ. A 14,000-Year Oxygen Isotope Record from Diatom Silica in Two Alpine Lakes on Mt. Kenya. Science. 2001, 292 (5525): 2307–2310. PMID 11423656. doi:10.1126/science.1059612.
Smith, Kirstine. On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations. Biometrika. 1918, 12 (1/2): 1–85. JSTOR 2331929. doi:10.2307/2331929.