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Sam Zhang

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A letter on the second anniversary of Nora’s crossing

A letter on the second anniversary of Nora's crossing

An illusion of predictability in scientific results

Even experts think / that well-estimated means / are certain outcomes. (Haiku summary due to MSR poets Dan and Jake). Click the thumbnail for a mini-explainer.

Elliptic curves and traveling wave solutions to the KdV equations

View traveling wave solutions to the KdV equations associated with (points of) elliptic curves.

Bayesian inference for COVID-19 testing

My brief foray into epidemiology at the start of COVID-19. Bayesian methods and interactive tools for informing COVID-19 surveillance testing strategies.

Ridge unfolding polytopes

Unfold 4-dimensional polytopes using their spanning trees.

Curve shortening

Deform a curve with a discrete curve shortening flow.

A catastrophe machine

Move the center of gravity of a wedge balancing on a table, and observe its corresponding catastrophe surface.

Linear regression, the old fashioned way

Perform ordinary least squares through a set of points with nails, springs, sleeves, and a frictionless rod.

A moduli space for triangles

A solution to a problem by Lewis Carroll using a clever moduli space. For fun, pick points on the moduli space, and watch triangles deform between them along geodesics.

The cross-section of a cylinder is an ellipse

A classical proof that the cross-section of a cylinder is an ellipse. I have no idea why, but this is the most popular blog post on my website.