Today, some scientists wonder if the finely attuned pattern-seeking capabilities of the brain, which enable us to appreciate music, might be commandeered to help us make sense of complex data – perhaps to find regularities that are not evident to the eye or even to ordinary mathematical analysis.
They seek to establish patterns or regularities that explain outcomes of interventions.
Descartes's statement of the sine law of refraction, relating the angles of incidence and emergence at interfaces of the media through which light passes, had added a new mathematical regularity to the science of light, supporting the conviction that the universe is constructed according to mathematical regularities.
We imagine a future where computer-based tools will systematically manipulate the visual and interactive features of mathematical representations so that children pick up on the perceptual regularities that help, rather than hurt (e.g., Weitnauer, Landy, & Ottmar, 2016).
It is part of epiphenomenalist theory, however, that the regularities that we observe to hold between mental events and actions can be explained by underlying regularities.
In this paper, we explore the mathematical regularities underlying the similarity formulas, introduce a novel data structure, and design linear time algorithms to calculate the similarities.
For much of the 18th century the source of mathematical regularity in chemical systems was assumed to be the continuum of forces and fields that surround the atoms making up chemical elements and compounds.
Suicide bombings now occur with such regularity that they often go barely reported.
Mom points out, with regularity, that they need jobs with benefits.
When we simulate pain, for example, we show "over-regularity" that machines can read.
