Follow your curiosity

What discovery has been shared with you?

FACTREE gives you something interesting to discover every day — and something worth talking about together.

Start with one fact. Explore it, go deeper, then follow whichever branch catches your imagination.

Choose subjects for a surprise

Exploring any topic

Begin your discovery

Your next discovery is one click away.

Choose one or more subjects above, or leave Any Topic selected and let curiosity decide.

Mathematics

Spectral Decomposition

Quick fact

Spectral decomposition is the mathematical equivalent of decomposing a musical chord into its individual notes, each with its own pitch (eigenvalue) and resonance pattern (eigenvector).

Why this is interesting

You’ve seen how a prism splits white light into a rainbow of colors. What if you could do the same for a matrix—breaking it apart into its pure, fundamental frequencies?