A set that shifts into its complement
Can arbitrarily small translations turn a subset of the real line into its complement?
When answers are abundant, the creative edge is knowing what to ask—and wanting to discover more.
Four congruent right triangles. Two marked lengths.
Problems to think about and explorations through mathematics, diagrams, code, and experiments.
02 /Study calculus through compact explanations, interactive graphs, worked examples, and problems.
03 /Games to play at your own pace. Slide a block, fit a tile, or find a path across Hex.
Can arbitrarily small translations turn a subset of the real line into its complement?
Explore the method of Lagrange multipliers for constrained optimization, with a visual perspective.
Pick a game and settle in. Slide a block, fit a tile, or find a path across Hex.
Timers, ambient sound, and practical tools for everyday tasks.
Measurability and adapted approximation tools for metric-space-valued maps, with applications to path-dependent stochastic control.
Preprint
University of Calgary
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