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Structured frameworks for complex systems

I wrote two unrelated blog posts this morning, one about the math paper H = W and one about a joke putting numbers...

The Download: The desert data center boom, and how to measure Earth’s elevations

In the high desert east of Reno, Nevada, construction crews are flattening the golden foothills of the Virginia Range, laying the foundations...

Dungeons, Dragons, and Numbers

Dan Piponi posted a chart like the one below on Mastodon. At the risk of making a joke not funny by explaining it, I’d...

The FDA plans to limit access to covid vaccines. Here’s why that’s not all bad.

“Of course there are children with health problems who should definitely have it,” says Dunachie. “But for healthy children in healthy households, the...

Meet Cathy Tie, Bride of “China’s Frankenstein”

In April, the feed started to change even more drastically.  He’s posts became increasingly provocative, with better English and a unique...

The Download: Meet Cathy Tie, and Anthropic’s new AI models

Since the Chinese biophysicist He Jiankui was released from prison in 2022, he has sought to make a scientific comeback and to...

Wilkinson’s polynomial | Dependence of roots on coefficients

If you change the coefficients of a polynomial a little bit, do you change the location of its zeros a little bit? In...

Anthropic’s new hybrid AI model can work on tasks autonomously for hours at a time

While Claude Opus 4 will be limited to paying Anthropic customers, a second model, Claude Sonnet 4, will be available for both paid...

Students in Advanced Computational Fields Are Accelerated Early Adapters of Generative AI Technology – Communications of the ACM

In our posts dated February 18 and March 12, 2025, we explore how undergraduate STEM students integrate generative AI (GenAI) tools like ChatGPT,...

Interpolation instability

You would think that interpolating at more points would give you a more accurate approximation. There’s a famous example by Runge that proves...

Four reasons to be optimistic about AI’s energy usage

3/ More efficient cooling in data centers Another huge source of energy demand is the need to manage the waste heat...

Computational Complexity: The Blog of Record

On Saturday, I had my last Illinois Tech graduation as dean before I step down at the end of June. The College of...

Practical Applications of AI Agents – Communications of the ACM

Not long ago, AI agents were the exclusive territory of research papers, academic conferences, and speculative tech blogs.  Today? They’re scheduling meetings, resolving support...

Partitioned matrices | What works and what doesn’t

It’s often useful to partition a matrix, thinking of it as a matrix whose entries are matrices. For example, you could look at...
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