applied-mathematics
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Why the first digit is often one
In some collections of measurements, the first significant digit is much more likely to be one…
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A thousand design questions in one adjoint solve
A wing’s shape might be described by a thousand adjustable parameters. Improving the design requires knowing…
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Winning every comparison and losing overall
Algorithm A beats algorithm B on easy images. It also beats B on difficult images. Surely…
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A quieter wing might still have a lively wake
10th August 2026 Suppose a modified wing produces smaller fluctuations in its total lift. The immediate…
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Why a nearly full system can become painfully slow
A server that is busy almost all the time looks efficient and positive for the owners,…
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Why a scaled wing needs a different wind
10th June 2026 A miniature aircraft looks like its full-sized counterpart, but the air does not…
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The mathematics of knowing when to stop looking
10th May 2026 Choosing is easy when every option can be compared at once. It becomes…
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When a perfect ‘fit’ cannot identify the answer
10th April 2026 Imagine watching a mass bounce on a spring. If the mass and spring…
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The frequency hiding between the measurements
March 10th 2026 A perfectly clean graph can describe the wrong motion. That is the unsettling…
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How a robot decides which measurement to trust: the Kalman filter
10th February 2026 A small robot estimates that it has travelled ten metres along a corridor.…
