Tag Archives: graph theory

Listen to the doctor crystilogic: Kidney, this time with ions and color. It’s a whole crazy world down there. This is one of the thousands of small tubes that urine moves along on its way through the kidney, with all … Continue reading

Image | Posted on by | Tagged , , , , , , , , , , , , , | Leave a comment

@IgorCarron blogs recent applications of compressive sensing and matrix factorisation every week. (Compressive sensing solves underdetermined systems of equations, for example trying to fill in missing data, by L₁-norm minimisation.) This week: reverse-engineering biochemical pathways and complex systems analysis. (Source: … Continue reading

Image | Posted on by | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

This gallery contains 3 photos.

Categorial decomposition of Galilean spacetime. Sean Carroll tells us that it was Galileo who first si rese conto che motion can be separated into: motion in the x direction — ẋ or x′[t] motion in the y direction — ẏ or y′[t] motion … Continue reading

Gallery | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

Hard Boundaries, Soft Boundaries

Computer scientists use filters, ≥ signs, intersections (sql), and other forms of what I would call “hard boundaries”. Grep either finds what you’re looking for, or it doesn’t.  The condition inside your while(){ loop either trips true and the interior code … Continue reading

Posted in Uncategorized | Tagged , , , , , , , , , | Leave a comment

Paul Finsler believed that sets could be viewed as generalised numbers. Generalised numbers, like numbers, have finitely many predecessors. Numbers having the same predecessors are identical. We can obtain a directed graph for each generalised number by taking the generalised … Continue reading

Quote | Posted on by | Tagged , , , , , , , , , , , , , , , | Leave a comment

The Opposite of Transitivity

rock ≻ scissors ≻ paper ≻ rock “beats” is not a transitive relation. in fact, Rochambot is an example of Logical Circular Logic. Rochambot obeys the non-wellfoundedness axiom (it’s a stream). it’s the cyclic group P₃.

Posted in Uncategorized | Tagged , , , , , , , , , , , , | Leave a comment

Skitter plot of scientific collaboration between researchers 2005–2009. via greigmarshall Unweighted bidirectional graph. The thin pen brings out the graph’s thick global connectivity.

Image | Posted on by | Tagged , , , , , , , , | Leave a comment