QNLW
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Torsion, curvature, and parallel transport
An expository note on the notions of curvature and torsion of a general linear connection on the tangent bundle.
Willie WY Wong
2018-03-12
Last updated on
2025-04-21
12 min read
mathematical diversions
A Characterization of Geodesics
About the Einstein-Infeld-Hoffmann theorem characterizing geodesics.
Willie WY Wong
2017-05-27
Last updated on
2025-04-21
5 min read
expository
A Better Estimate of Kempner's Series
The Kempner series recently regained some notoriety due to a Saturday Morning Breakfast Cereal comic (the last panel). The observation …
Willie WY Wong
2016-11-10
Last updated on
2025-04-21
3 min read
expository
Simulating Closed Cosmic Strings
One of my current research interests is in the geometry of constant-mean-curvature time-like submanifolds of Minkowski space. A special …
Willie WY Wong
2016-06-01
Last updated on
2025-04-21
8 min read
mathematical diversions
Shooting particles with Python
Numpy simulation of how classical and quantum particles interact with potential barriers.
Willie WY Wong
2015-04-24
Last updated on
2025-04-21
8 min read
mathematical diversions
Bundles and derivatives
Expository article on the geometric notion of derivatives.
Willie WY Wong
2015-02-10
Last updated on
2025-04-21
1 min read
expository
Bessaga's converse to the contraction mapping theorem
A converse to Banach's fixed point theorem, due to Bessaga, is discussed.
Willie WY Wong
2014-05-07
Last updated on
2025-04-21
5 min read
expository
Conformal compactification of type (p,q) pseudo-Euclidean spaces
We explain how to conformally compactify pseudo-Euclidean spaces with $(p,q)$ signature.
Willie WY Wong
2014-01-17
Last updated on
2025-04-21
4 min read
expository
Blow-up of QNLW with Small Initial Data à la Christodoulou
Lecture slides that Gustav Holzegel and I used for the January 13-14, 2014 OXPDE Workshop at Oxford University.
Willie WY Wong
2014-01-13
Last updated on
2025-04-21
2 min read
expository
Approximating Continuous Functions
Expository note on the Runge phenomenon
Willie WY Wong
2013-11-29
Last updated on
2025-04-21
1 min read
expository
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