"Help me! I'm about to wipe out in ...!"
Do any of these sound like it covers your subject of affliction?
I also have two example story problems:
And two more example problems:
- Volume integral of a sphere, in two different coordinate systems. This also
demonstrates an instance of the power rule for integration, and both the sin and cos integration
- The ordinary differential equation system
Numerical Differential Geometry
My intended specialization in mathematics is "numerical differential geometry", particularly that
adapted to general relativity and/or quantum mechanics. As such, I am interested in the
following mathematical areas [and all implied prerequisites], from a computational point of
Incomplete working notes on General Relativity and Quantum Mechanics
- Differential geometry and topology
- 4d differential manifolds
- Numerical analysis
- Multivariable analysis
- Partial differential equations over manifolds
Introduction to "Pointwise Qualitative Factorization of 2-forms into 1-forms over ℝ4". This is the
introduction to a paper I'm in the middle of writing. The rest of the paper will require Franci, Math Consultant™'s assistance.
Online Mathematics Journals
Documenta Mathematica [German]
The Electronic Journal of Combinatorics
The Electronic Journal of Linear Algebra; mirrors: U.S., Germany, Portugal, EMIS
Electronic Transactions on Numerical Analysis
Geometry & Topology
New York Journal of Mathematics
More general higher mathematics resources
Math-Net -- Internet Information Services for Mathematicians
EMIS The European Mathematical Information Service
AMS index of electronic mathematics journals
Primordial Soup Kitchen. This is about finite cellular automata -- not biology.
Above is courtesy of various AMS articles.
Computer Time Resources
Higher mathematics (and several other disciplines) can need more computer time than is locally
available. It is always a good idea (and usually required) to cite the fact that you used a given
computing center in your research.
The classifications below are not absolute. They are based on a superficial viewing. Also, I had
trouble deciding on the wording of my summary of the grant requirements; some of the sites have
(very limited) exceptions.
- Actual sites
- Albuquerque High Performance Computing Center: Both U.S. Department of
Defense and academic accounts are available here. A closely related site is the Maui
High Performance Computing Center. (They are both affiliated with the University of
- [From FAQ, which I checked on July 2, 1999]: Telnet, rlogin, and ftp do not
connect to these systems! 'Secure shell' [ssh] or 'secure ftp' [sftp] do work.
- Arctic Region Supercomputing Center Research grants must be based in Alaska.
- Cornell Theory Center Research grants must have some sort of connection with
- Los Alamos National Laboratory Accounts are affected by U.S. Department of
Energy regulations [in particular, non-citizens of certain countries will have problems
getting accounts here]. This system is a 1-teraflop system. I cannot concisely
summarize the requirements at all, but they anticipate at most six projects at once. The
suggested project should require a 1-teraflop system for a reasonable runtime.
- Maui High Performance Computing Center Both U.S. Department of Defense
and academic accounts are available; academic accounts have different procedures for
4000+ hours of use (NSF form) and 3999- hours of use (local form) "Review of
applications is based intrinsic merit of the research, relevance of the research, research
performance competence, effect of the research on the infrastructure of science and
engineering, suitability and need for parallel architecture, and past experience with the
machine architecture being requested." This is an insecure system; do not put
classified information here.
- National Partnership for Advanced Computational Infrastructure The applicant should
be a U.S. researcher or educator. Students should have their advisors apply.
- North Carolina Supercomputing Center Research grants must be based in North
- Ohio Supercomputer Center Research grants must be based in Ohio.
- Pacific Northwest National Laboratory Has U.S. Department of Energy
associations. The supercomputing resources are under the 'Environmental Molecular
Sciences' (wording?) section. Any project run here must have something to do with
- Pittsburg Supercomputing Center Research grants must be based in Pennsylvania.
- Research Institute for Symbolic Computation in Austria.
- UCARweb Research grants must be related to atmospheric science
Opinions, comments, criticism, etc.? Let me know about it.
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