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| | geoenergymath.com
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| | Watched the hokey movie Gifted on a plane ride. Turns out that the Millennium Prize for mathematically solving the Navier-Stokes problem plays into the plot. I am interested in variations of the Navier-Stokes equations that describe hydrodynamical flow on the surface of a sphere. The premise is that such a formulation can be used to...
| | arkadiusz-jadczyk.eu
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| | In the last post, Geodesics of left invariant metrics on matrix Lie groups - Part 1,we have derived Arnold's equation - that is a half of the problem of finding geodesics on a Lie group endowed with left-invariant metric. Suppose $G$ is a Lie group, and $g(\xi,\eta)$ is a scalar product (i.e.
| | sriku.org
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| | mathscholar.org
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| [AI summary] The article discusses the intersection of science and philosophy, highlighting the importance of empirical evidence and the scientific method in advancing knowledge. It critiques postmodern science studies for lacking scientific rigor and credibility, referencing the Sokal hoax as a key example. The piece also touches on the contributions of non-Western societies to science and the need for diversity in the scientific community. Ultimately, it concludes that while philosophical reflection has value, it should not replace the empirical foundation of scientific research.