Tag

Complex Numbers

All articles tagged with #complex numbers

Reviving Geometry's Classic Challenges with New Math

Originally Published 3 months ago — by Quanta Magazine

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Source: Quanta Magazine

A team of mathematicians has revived interest in enumerative geometry by applying a decades-old theory called motivic homotopy theory to count solutions across various number systems, providing new insights and raising intriguing questions about the fundamental nature of numbers and geometric objects.

"Supercomputers crack unsolvable number puzzle after 32-year quest"

Originally Published 2 years ago — by Livescience.com

Featured image for "Supercomputers crack unsolvable number puzzle after 32-year quest"
Source: Livescience.com

Mathematicians have used supercomputers to calculate the value of the "ninth Dedekind number" or D(9), a complex number that was previously thought to be impossible to calculate. The number represents the number of possible configurations of a certain kind of true-false logical operation in different spatial dimensions. Two separate research groups produced the exact same number for D(9), confirming its accuracy. Dedekind numbers get exponentially larger for each new dimension, making them increasingly difficult to calculate. The newly identified value for D(9) is 286386577668298411128469151667598498812366.