In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

Your source for the news, opinions, and reader reaction on the industry’s hottest controversy. Excerpt from Microsoft SQL Server 2008 Analysis Services Unleashed. Working with relational databases, we ...

This graph illustrates three different individuals' brainwaves during team and solo flow states, plotted on a multidimensional space. The closer two individuals' neural "fingerprints" are within this ...

Understanding how cells decide their fate is a central challenge in biology, complicated by the fact that single-cell RNA ...

The book Flatland: A Romance of Many Dimensions by Edwin A. Abbott explores the concept of physical dimensions through characters who encounter higher-dimensional beings. The protagonist, “A. Square,” ...

1. Trait intraspecific variability determines community dynamics and species coexUMR istence. In response to competition, plants can display intraspecific variability to enhance their competitive ...

In my last post, Artificial Intelligence and the Shape of Reality, I jumped off the deep end and explored an idea that surprised even me as I wrote it—that the high-dimensional space in which large ...

Are we living in a flatland? Or perhaps, are we bound in a cube of perception with impermeable spatial walls of length, width, and height—like a mime stuck in an imaginary cube? Let's take it slowly ...