I described the many types of numbers in my last article: natural, integers, rational, real, and complex. To recap, the natural numbers N are whole positive numbers, the integers Z are whole negative ...

The Mathematics Program of Knut and Alice Wallenberg Foundation this year grants SEK 35 million to 16 researchers, three of them belonging to the Department of Mathematical Sciences, Chalmers ...

Let $a$ be a real number and let $c$ be a complex number. The circle in Figure~\ref{fig:complex-number-geometry} is the set S = \{z \in \C : \abs{z - c} = a\}. One ...

where $C_i$ and $C^i$ denote the (simplicial/singular) $i$-(co)chains on $X$ with $\mathbb{Z}_{\text {- }}$ coefficients. H_i(X, \mathbb{C}) \otimes H_{n-i}(X ...

ABSTRACT: We propose a novel extension of general relativity and quantum field theory in which spacetime is treated as a complexified manifold containing both causal (real-time) and anti-causal ...

A forgotten number system invented in the 19th century may provide the simplest explanation for why our universe could have 10 dimensions As children, we all learn about numbers. We start with ...

In spite of their name, “imaginary” numbers are as real as any other numbers, especially when it comes to hunting for lost treasure. For our first Insights puzzle of 2019, let’s go on a treasure hunt.