#Onthisday in 1995, Carl Wieman and Eric Cornell reported a new state of matter after they cooled rubidium atoms to an extremely low temperature. The Bose-Einstein condensate they created had been predicted decades earlier by Albert Einstein and Satyendra Nath Bose.
I used to think the Beatles sucked when I was really young because their music was so basic. Then their music connected me to friends and family in surprising ways. There is so much more to music than notes and to math than proofs.
ββIt is central to Wittgenstein's teaching that the conceptual underpinnings to a felt need for explanation must be scrutinized, for what it is, exactly, that wants explanation may only become clear through such an investigation.β
This is a wonderful synopsis by Warren Goldfarb
I strive to make my writing unsummarizable, in the sense that it has so little fluff left in it that if you take any words out, as summaries by definition do, you lose a lot of interesting ideas.
Hard to list one, so a few. Each brought moments of great pleasure, even elation:
- G. F. Simmons, Topology and Modern Analysis
- Ira Levine, Quantum Chemistry
- Clayden et al. Organic Chemistry
- L&L, Mechanics
- David Griffiths, Electrodynamics
- Feynman Lectures
- Tucker, Applied Combinatorics
- Stryer, Biochemistry
A rich, thorough exploration of infinity that combines mathematical precision with playful, accessible coverage of a fascinating variety of paradoxes and conundrums.
@JDHamkins's "The Book of Infinity" publishes in August! https://t.co/RIPeTGe74X
Is there an elementary or straightforward way to get at the infinite product formula for sine that reveals the role of pi without assuming it is already known that sine is periodic? Here is an elementary proof that fails on that point: https://t.co/3UNkbfLLjZ