Category Archives: Mathematics

Curves… in… spaaaace! (1890)

One of the tragedies of STEM education is the seemingly eternal perception by the general public that mathematics is boring and repetitive.  Most people, of course, end their math education with algebra at most, though some work their way through … Continue reading

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Posted in Mathematics | 4 Comments

Infinite series: not quite as weird as some would say

Updated with a third footnote clarifying my use of the term “diverge,” thanks to suggestion by Evelyn Lamb, who has also written an excellent discussion of the problem with the video.  At the end of this post I list all the … Continue reading

Posted in ... the Hell?, Mathematics | 28 Comments

Infinity is weird: what does it all mean?

The final installment in a series of posts on the size of the infinite, as described in mathematical set theory.  The first post can be read here, the second here, and the third here. We have taken a long, strange journey into … Continue reading

Posted in Mathematics | 5 Comments

Infinity is weird: to infinity, and beyond!

The third and it-turns-out-not-final installment in a series of posts on the size of the infinite, as described in mathematical set theory.  The first post can be read here, and the second here. I think Buzz Lightyear captures the spirit of this … Continue reading

Posted in Mathematics | 1 Comment

Infinity is weird: what’s bigger than big?

The second in what will (probably) be a three-part series of posts on the size of the infinite, as described in mathematical set theory.  The first post can be read here. When I was young, there was a series of … Continue reading

Posted in Mathematics | 12 Comments

Infinity is weird: how big is infinity?

How big is infinity?  Most people, though familiar with the general concept of infinity, would probably answer with a simple, question-dodging response of “infinite.”  To be fair, the infinite is a really difficult concept to wrap one’s head around, and … Continue reading

Posted in Mathematics | 23 Comments

Getting more with less in imaging: compressive sensing

Update: I felt my original explanations were a little lacking in places, so I’ve added to the post… In recent years, the public has seen remarkable advances in digital imaging technology. In the past few months, for instance, Lytro has … Continue reading

Posted in Mathematics, Optics | 27 Comments