- Crash review of Arithmetic
- Crash review of Trigonometry
- Crash review of Hyperbolic Trigonometry
- Crash review of the Combinatorial and Factorial functions
- Crash review of Classical Kinetic Theory of gases
- Signs in the Heavens [Astronomy/Weather, eventually(?)]

- Zimbabwe's inflation rates, as reported Sept. 14, 1999 by MyCNN (relaying Reuters)
- This kind of problem could show up either in "Intro to Macroeconomics", or anytime "College Algebra" needs some work or review.

- Projection of Zanu PF's reduction of Zimbabwe's agricultural production [using information
from March and April 2000 relayed by MyCNN]
- Just a bit of "Calculus I" to verify one's intuition about a key point. The rest is "College Algebra".

- 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 rules.
- The ordinary differential equation system
- 0=-u
_{t}[du_{t}/dt]+u_{z}[du_{z}/dt] - -1=-u
_{t}^{2}+u_{z}^{2}

- 0=-u

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 view:

- Differential geometry and topology
- 4d differential manifolds
- Lorentz metric

- 4d differential manifolds
- Numerical analysis
- Multivariable analysis
- ℝ
^{4}to ℝ^{4} - ℝ
^{4}to ℂ^{4}

- ℝ
- Partial differential equations over manifolds

Introduction to "Pointwise Qualitative Factorization of 2-forms into 1-forms over ℝ^{4}". 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.

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

EMIS The European Mathematical Information Service

AMS index of electronic mathematics journals

Primordial Soup Kitchen. This is about finite cellular automata --

Above is courtesy of various AMS articles.

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.

- Directories
- National MetaCenter for Computational Science and Engineering Supposed to be NSF-linked (thus justifying an icon), but the site is "hoary" as of May 11, 1999. [It includes an explicit reference to a deadline shift for applications from January 1, 1996 to January 8, 1996 (!?!)]. If it starts being maintained, I'll consider iconizing the link.
- National Computational Science Alliance
- Albuquerque High Performance Computing Center's index of parallel computing indices.
- Georgia Tech's index to NSF-allied resources
- Maui High Performance Computing Center's index to Hawaii, New Mexico, U.S. government, and supercomputing resources.
- IEEE Computer Society: ParaScope "A listing of parallel computing sites"
- Nan's Parallel Computing Page Maintained by Nan Schaller at the Rochester Institute of Technology.

- News-related
- National Center for Supercomputing Applications at Illinois
- PhAROh Metacenter Regional Alliance
- Rice University's Center for Research on Parallel Computation
- Northeast Parallel Architectures Center This is located at Syracuse. This has a Java tutorial (I haven't tried it, so I cannot review it). The downloads section also has at least two relevant Java applications.
- Top 500 supercomputers on Earth (University of Mannheim). Also, two mirrors: U.S.and Japan.

- 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
New Mexico.)
- [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.

- [From FAQ, which I checked on July 2, 1999]: Telnet, rlogin, and ftp do
- Arctic Region Supercomputing Center Research grants must be based in Alaska.
- Cornell Theory Center Research grants must have some sort of connection with Cornell.
- 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 Carolina.
- 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 that.
- 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

- 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
New Mexico.)

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