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Computational geometry basics: cross product line.
  • Dr. Ingrid Falk-Weller
  • August 25, 2026
  • (0)
  • Algorithms

The Cross Product Answers Which Side of a Line You Are on

I remember sitting in a windowless lab during my postdoc, staring at a simulation that was supposed to be “mathematically perfect” but was actually hemorrhaging errors because I’d ignored how floating-point math handles nearly parallel lines. It was a humbling…

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Applying the sweep line technique to problems.
  • Dr. Ingrid Falk-Weller
  • August 17, 2026
  • (0)
  • Algorithms

Turning a Two Dimensional Problem Into an Ordered List

I remember sitting in a windowless lab during my second year of PhD work, staring at a simulation that was grinding to a halt because I had tried to brute-force every possible intersection in a massive geometric dataset. I was…

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Visualizing interval problems and sweeping.
  • Dr. Ingrid Falk-Weller
  • August 11, 2026
  • (0)
  • Algorithms

Sort by One End and the Problem Collapses

I remember sitting in a windowless server room three years ago, staring at a telemetry dashboard that insisted everything was nominal, even as our distributed state drifted into total chaos. We were using a standard sweeping technique to monitor our…

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Visualizing the longest common subsequence algorithm.
  • Dr. Ingrid Falk-Weller
  • August 6, 2026
  • (0)
  • Algorithms

The Algorithm Behind Every Diff You Have Ever Read

I remember sitting in a windowless grad lab at 2:00 AM, staring at a stack of textbook proofs for the longest common subsequence that felt more like religious liturgy than actual engineering. The textbooks always presented the solution as this…

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Measuring edit distance and alignment of strings.
  • Dr. Ingrid Falk-Weller
  • July 27, 2026
  • (0)
  • Algorithms

Measuring How Far Apart Two Strings Really Are

I spent three weeks of my PhD trying to implement a “state-of-the-art” sequence matching library, only to realize the authors had glossed over the most critical part: how their cost function actually behaved when the data got messy. Most textbooks…

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Visualizing suffix arrays and trees.
  • Dr. Ingrid Falk-Weller
  • July 23, 2026
  • (0)
  • Algorithms

Every Substring of a Text, Indexed Once

I remember sitting in a windowless lab during my postdoc, staring at a profiler that showed my string-matching implementation eating through RAM like it was an all-you-can-eat buffet. I had followed the textbook implementation of a suffix tree to the…

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Efficient string matching algorithms skipping characters.
  • Dr. Ingrid Falk-Weller
  • July 16, 2026
  • (0)
  • Algorithms

Skipping Ahead Instead of Comparing Every Character

I spent three months in a graduate lab trying to optimize a distributed search service, only to realize we were over-engineering a solution for a problem that a simple brute-force approach could have handled in milliseconds. There is this pervasive,…

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Fairly picking items using reservoir sampling.
  • Dr. Ingrid Falk-Weller
  • July 12, 2026
  • (0)
  • Algorithms

Picking Fairly From a Stream of Unknown Length

I remember sitting in a windowless server room during my first industry research stint, watching a distributed logging system choke to death because someone thought they could just “buffer everything” before sampling. We were burning through expensive RAM like it…

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Count min sketch basics for big data.
  • Dr. Ingrid Falk-Weller
  • July 4, 2026
  • (0)
  • Algorithms

Counting a Billion Items in a Kilobyte

I remember sitting in a windowless server room three years ago, watching a production cluster choke on its own telemetry because we were trying to maintain exact frequency counts for millions of unique keys in a distributed hash map. It…

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Bloom filters explained: a probabilistic filter.
  • Dr. Ingrid Falk-Weller
  • June 28, 2026
  • (0)
  • Algorithms

A Filter That Is Sometimes Wrong on Purpose

I spent three weeks of my life in a windowless server room during my first industry role, trying to debug a latency spike that felt like a ghost in the machine. We were throwing massive amounts of RAM at the…

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Recent Posts

  • Distance Costs More in Coordination Than in Time Zones
  • The Cross Product Answers Which Side of a Line You Are on
  • Without a Nonlinearity the Whole Network Collapses to One Layer
  • Agree the Author List Before the Work, Not After
  • The Optimiser Tells You Exactly What It Is About to Do

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