| Literature DB >> 28184186 |
Abstract
Entities:
Keywords: ethics; influence; neuromarketing; reductionism; scaling
Year: 2017 PMID: 28184186 PMCID: PMC5266867 DOI: 10.3389/fnins.2017.00022
Source DB: PubMed Journal: Front Neurosci ISSN: 1662-453X Impact factor: 4.677
Figure 1(Left) The logarithmic spiral is a mathematical curve that is scale-invariant. The precise definition of invariance in this case is beyond the scope of this paper, but, loosely speaking, the overall shape of the curve repeats itself on each turn (black and gray line segments). In other words, after each turn, the curve looks exactly the same just at a greater magnification. Inset: an extratropical cyclone over Alaska exhibiting a large and approximately scale-invariant spiral pattern (image adapted from http://earthobservatory.nasa.gov/NaturalHazards/view.php?id=79300). (Right) Scale invariance in human behavior. When people have to judge elapsed time, their guesses closely follow a normal distribution peaking around the actual time. Critically, the variance of distribution is proportional to the length of time interval (upper panel, solid: 10 s interval, dotted: 20 s). This implies scale invariance, i.e., response functions become equal under time dilation and/or contraction (lower panel, dotted curve represents a time -> time/2 transformation; real data can be found in Buhusia and Oprisan, 2013).