Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Educators · Vector Fields

Vector Fields for a Markov chain

Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate a Markov chain live below — adjust the inputs and watch it respond, right in your browser.

Vector Field StudioLive

F(x,y) = (u, v) · quiver plot · drag to trace a flow line

Controls

u = fx(x, y)v = fy(x, y)

▶ Run in Python

Data Inspector

Arrows374

Domain[-5,5]²

Probe(2.5, 0.0)

Governing equation

F (x, y) = (P, Q) = (- y, x)

Reading this result: A pure rotation field: every arrow is perpendicular to the radius, so the flow circles the origin with zero divergence and constant curl.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

Is this good for educators?: Yes — this version of "Vector Fields for a Markov chain" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.