Tuesday, February 20, 2018

Quon: New Mathematical Picture Language

From the time of Euclid, pictures have been an important part of mathematics.  We get a better understanding of complex numbers and their mind-bending equations by picturing them in terms of vectors and graphs:




Non-Euclidean Geometry is best explained in terms of Euclidean models:




"A picture is worth 1,000 symbols,” quips Professor Arthur Jaffe. Jaffe and postdoctoral fellow Zhengwei Liu have developed a pictorial mathematical language that can convey pages of algebraic equations in a single 3-D drawing:

Harvard Gazette: Picture-perfect approach to science 

Pictorial laws appear to unify ideas from disparate, interdisciplinary fields of knowledge, linking them beautifully like elements of a da Vinci painting. The group is working to expand the pictorial mathematical language first outlined last year by Arthur Jaffe, the Landon T. Clay Professor of Mathematics and Theoretical Science, and postdoctoral fellow Zhengwei Liu:



Here is the ground breaking paper by Arthur Jaffe, the Landon T. Clay Professor of Mathematics and Theoretical Science, and postdoctoral fellow Zhengwei Liu:


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