Some Research Results and Ideas to Remember
The following are, for the most part, little example analysis files to
illustrate some of the ideas I've been thinking about lately (in the last
fifteen years, say!;).
- Global Climate Destabilization:
Keeling CO2 data
Illustrating the Milankovich effect in the Vostok Ice Core, through variogram analysis
Illustrating the Vostok Ice Core shift between temp and CO2, and my (somewhat surprising) result that co2 leads temperature. Climate skeptics have made much of their belief that temperature leads co2 -- i.e. that it's not co2 that's causing temperature changes, but even vice versa!
Illustrating Long, A. and C. Long. Surface Approximation and Interpolation Via Matrix SVD. The College Mathematics Journal, Vol. 32, #1, January, 2001:20-25.
Illustrating how one uses linear algebra and a modified Newton's method to do non-linear regression.
- Wavelets in Linear Algebra:
- Here's my sample wavelet file:
- This one shows the inversion process:
- Here's a little cheapo compression for Jay's image:
- SVD in Linear Algebra:
- Optimal Placement of Fixed Solar Panels (a talk at the KYMAA Meetings, Bowling Green, KY: March, 2008, and weblink)
- Raccoon Rabies Project
- MAA presentation
- Lucey, B. T., D. Smith, C. A. Russell,
M. L. Wilson, A. Long, L. A. Waller, J. E. Childs, and
L. A. Real. Spatio-Temporal Analysis
of Epizootic Raccoon Rabies Propagation in
Connecticut, 1991-1995. Vector Borne and
Zoonotic Diseases, Vol. 2, #2, 2002:77-86.
Hastings, Jon M., Charles W. Holliday, Andrew Long, Katie Jones and Grayson Rodriguez. Size-Specific Provisioning by Cicada Killers, Sphecius speciosus, (Hymenoptera: Crabronidae) in North Florida. . Florida Entomologist 93(3):412-421. 2010. doi: 10.1653/024.093.0315 (a local copy)
I'm interested in the use of human waste as a fertilizer, rather than
as a pollutant. We're causing giant dead zones in the Gulf of Mexico
because of our dumping of incredible amounts of nitrogen-based
fertilizers from human waste and agricultural run-off) into the
Mississippi. Algal blooms suck oxygen up from the water, and kill the fish (and
other creatures) relying on breathing.
I took the idea for this analysis (which I used in a calculus class to
illustrate Riemann sums, and approximation of integrals) from this
- Some weird "hobby" things:
- Loyola Stuff (1996-1997):
Website maintained by Andy Long.