In the early 1920s, Pavel Urysohn proved his famous lemma (sometimes referred to as "first non-trivial result of point set topology"). Among other applications, this lemm...
We propose the use of a haptic touchscreen to convey graphical and mathematical concepts through aural and/or vibratory tactile feedback. We hypothesize that an important applicat...
Jenna L. Toennies, Jessica Burgner, Thomas J. With...
In this paper, we present a mathematical theory for Marr's primal sketch. We first conduct a theoretical study of the descriptive Markov random field model and the generative...
The Irish School of Constructive Mathematics (M♣ c ), which extends the VDM, exploits an algebraic notation based upon monoids and their morphisms for the purposes of abstract mo...
Mathematics is facing a dilemma at its heart: the nature of mathematical proof. We have known since Church and Turing independently showed that mathematical provability was undeci...