Tag Archives: math
Good Fences
“Winter is Coming”
Notes from A Song of Fire and Ice and SCIENCE: A panel on George R.R. Martin’s Game of Thrones series. Saturday, July 5, 2014, at Convergence 2014.
One of the distinctive features of this world is that the seasons last for multiple years, and the length of each season is unpredicable. How can this happen? Not by axial tilt, as on our Earth. Nicole Gugliucci said it could be achieved by planetary dynamics and referred us to “Winter is coming”. This paper (and I strongly recommend a look at the full paper as well as the abstract) suggests that the planet is orbiting a double star, in which case the orbit could be chaotic, leading to unpredictable seasons. Apparently (I have not finished reading the series) GRRM never explicity wrote that there was only one sun. In any case, one of the stars could be a roughly solar mass black hole, and hence invisible. Contrary to popular culture, black holes do not suck up everything around them. If you are in an orbit that stays well outside the event horizon you will never fall in. I asked about the long term stability of such a system. You want to be sure your planet stays in the “Goldilocks zone” — not too hot and not too cold. From “Winter is coming”:
To study the long-term stability of the CBP, we embarked on a long voyage of integration.
The orbit was stable after integrating for one million days. On Day 1,000,001 the Andals invaded. Funding cuts to all research projects promptly followed. We were unable to continue our work. Those of us who expressed strong opinions against the cuts were sent to the Wall.
You have to use days as your unit of time here because the years would vary in length. In winter they would be longer. I think these would also have to be sidereal days, certainly if both stars of the binary system are visible suns.
Mathematics from Eastern Europe
Reflections of the Polish Masters.
This reminded me of Ulam’s Adventures of a Mathematician, which I have read at least three times.
Fun with infinite series
Does 0.999… = 1? And Are Divergent Series the Invention of the Devil?
Which refers to a saying by Niels Henrik Abel
The divergent series are the invention of the devil, and it is a shame to base on them any demonstration whatsoever. By using them, one may draw any conclusion he pleases and that is why these series have produced so many fallacies and so many paradoxes …
Arizona State Senator Says He Opposes Common Core Because…
Suicide Wave? Not really, just a consequence of innumeracy
MathBabe looked at JPMorgan suicide is 3rd mysterious death in weeks. The result is a clear debunking using simple mathematics: JP Morgan suicides and the clustering illusion
Apparently nobody at the New York Post thought about making this simple calculation.
Headlines ….
…. from a Mathematically Literate World. E.g.
Our World: Market Rebounds after Assurances from Fed Chair
Mathematically Literate World: Market Rebounds after Regression to the Mean
Monday Night Irish Class, November 11, 2013
Irish Class, November 11, 2013
Rang Gaeilge, 11 lá Mí na Samhna 2013
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Fadas: áéíóúÁÉÍÓÚ
Math Joke
Why do all doctoral students have straight hair?