GRAND-CHALLENGE.NET
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Always Under Construction ... at least until there are no more Grand Challenge Problems ;-)
check GraB: The Grand Challenge Blog
Wikipedia defines the Grand Challenge problem as belonging to "a general category of unsolved problems. The definition of a Grand Challenge problem has a certain degree of inherent subjectivity surrounding what is, or is not, a Grand Challenge. A Grand Challenge problem exhibits at least the following characteristics:
* The problem is demonstrably hard to solve, requiring several orders-of-magnitude improvement in the capability required to solve it.
* The problem can not be unsolvable. If it probably cannot be solved, then it can't be a Grand Challenge. Ideally, quantifiable measures that indicate progress toward a solution are also definable.
* The solution to a Grand Challenge problem must have a significant economical and/or social impact.
Another, more simple definition is: A grand challenge problem is one that cannot be solved in a reasonable amount of time with today's computers."
this last definition is not very satisfying ... we'll discuss many types of Grand Challenge Problems (GCP's) here ...
in particular, we introduce the Grand Challenge Hardness Scale
DARPA's Grand Challenge Site
Some of NASA's Grand Challenges
GLOBAL CLIMATE MODELING: Performance Analysis and Optimization on the UCLA Parallel AGCM Code
THE EARTH'S GEODYNAMICS: Simulations of Earth's Core and Mantle
ASSIMILATING MEASUREMENT DATA INTO THE MODELS :Climate Data Assimilation on Massively Parallel Supercomputers
THE EARTH'S INTERIOR and GLOBAL CLIMATE MODELING (1996): Performance Enhancements in Modeling the Earth's Interior and in Global Climate Modeling
San Diego Super Computing Center [SDSC]: A National Laboratory for Computational Science and Engineering has an interesting image of The Grand Challenge Equations
David Johnson at AT&T Research posted an interesting list of CGP's in his article Challenges for Theoretical Computer Science: DRAFT
Of Course there's the Protein Folding Issue
and Hilbert's 23 Problems ...
NUMBERS YOU MIGHT ENCOUNTER SOME DARK DREARY NIGHT -- THESE WILL HELP IN TURNING THE DARK NIGHT INTO BLAZING BRIGHT DAYLIGHT ...
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Archimedes' Constant, pi =
3.141592653589793238462643383279502884197 Pythagoras'
Constant, v2 =
1.414213562373095048801688724209698078570
e = 2.718281828459045235360287471352662497757
Golden Ratio phi =
1.618033988749894848204586834365638117720
ln(2) = 0.693147180559945309417232121458176568075
Euler's Const.
gamma = 0.577215664901532860606512090082402431042
(calculated to 40 decimal places)
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| Speed of Light |
c |
= 299792458 Meters/Second |
| Planck's Constant |
hbar |
= 1.0545715964207855 x 10-34 Joule Second |
| Electron Charge |
e |
= 1.602176462 x 10-19 Coulomb |
| Gravitational Constant |
G |
= 6.673 x 10-11 Meter2
Newton/Kilogram2 |
| Boltzmann's Constant |
k |
= 1.3806503 x 10-23 Joule/Kelvin |
| Avogadro's Number |
NA |
= 6.02214199 x 1023Mole-1 |
| Fine Structure Constant |
alpha |
= 1/137 = 0.007297352533 |
| Acceleration Due To Gravity |
g |
= 9.80665 Meter/Second2 |
| Earth Mass |
ME |
= 5.9742 x 1024 Kilogram |
| Earth Radius |
RE
| = 6378140 Meters |
| Solar Radius |
RS
| = 6.9599 x 108 Meters |
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GRAND CHALLENGE Topics to Explore:
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