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Monthly Archives: November 2010
Spacetime is Curved
“General relativity can be summed up in two statements: Spacetime is a curved pseudo-Riemannian manifold with a metric of signature . The relationship between matter and the curvature of spacetime is contained in the equation.” —Sean Carroll There you have … Continue reading
Maybe Calculus Isn’t Bullsh*t
I may have to take back what I wrote earlier. I need to find out more about the Radon-Nikodym concept of a derivative.
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Tagged calculus, econometrics, education, math, mathematics, maths, Radon-Nikodym derivative
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Weather
Predict the weather for the coming week by looking at the whole continent. If the jetstream is above you, you’ll get warm Mexican air. If the jetstream is below you, you’ll get cool Canadian air. (Works if you live in … Continue reading
The good Christian should beware of mathematicians and all those who make empty prophecies. The danger already exists that mathematicians have made a covenant with the devil to darken the spirit and confine man in the bonds of Hell. St … Continue reading
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Tagged aleatoric, Cameron-Martin theorem, change of numeraire, econometrics, education, finance quant, Girsanov theorem, math, mathematics, maths, probability measure, quant, quant finance, quantitative finance, random walk, stochastic calculus, Wiener process
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This new Andrew Bird jam makes me excited about Andrew Bird again. (It’s not his fault that I and people around me over-played Dark Matter to its grave.) Hot Math by Andrew Bird
In a space of high dimensionality, most of the volume of a cube is concentrated in the large number of corners, which … become very long ‘spikes’! (Reason being: The ratio of the distance from the centre of a D-dimensional … Continue reading
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Tagged 4-D, 4th dimension, education, facts, higher dimensions, machine learning, math, mathematics, maths, neural networks, pattern recognition, science
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The best determinant of someone’s level of happiness is how often they eat meals with friends and family.
Would You Be Happier If You Were Richer?
6-dimensional Sphere
Of course a 3-dimensional thing is bigger than a 2-dimensional thing. Just like a beach ball is bigger than a circle cut from paper. And it’s equally obvious that a 4-dimensional thing would be bigger than a 3-dimensional thing. Or … Continue reading
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Tagged 4-D, 6-sphere, algebra, education, facts, geometry, higher dimensions, long reads, math, mathematics, maths, science
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Human Mathematics 