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Searching for Mersenne Primes
There are only 44 known Mersenne primes. GIMPS provides free software for people to search for the next Mersenne Prime and may claim award prize money if successful.
Mar 28, 2008
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Harry P. Schlanger
Basic Searching for Prime Numbers
The Sieve of Eratosthenes is a simple search technique for finding prime numbers. Primes have been in use only recently, mainly in the computer security industry.
Mar 27, 2008
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Harry P. Schlanger
Solving Knot Theory Problems
While it may seem like a trivial form of mathematics, knot theory has developed a highly efficient formalism over the years as it has gained recognition.
Mar 27, 2008
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Isaac M. McPhee
Euclid's Fifth Axiom
Very few seemingly incontrovertible mathematical statements throughout history have wreaked quite as much havoc as Euclid's controversial fifth axiom.
Mar 24, 2008
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Isaac M. McPhee
Math For Attorneys
This writing proposes utilization of multiple regression modeling to help legal counsels gain a statistical edge in trials along with more efficient preparations.
Mar 22, 2008
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D. Chen
Euclid's Fourth Axiom
Euclid's fourth axiom, like all the others, is clearly a very simple assertion. It is how Euclid ingeniously utilizes these axioms, however, that holds importance.
Mar 22, 2008
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Isaac M. McPhee
Euclid's Third Axiom
Euclid's third axiom describes how a simple circle, one of the most important figures in geometry, can be constructed using only a point and a line.
Mar 21, 2008
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Isaac M. McPhee
Euclid's Second Axiom
On the second of five axioms upon which was built the foundations of geometry, Euclid further explores the nature of straight lines.
Mar 20, 2008
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Isaac M. McPhee
Euclid's First Axiom
Euclid's first axiom, concerning points and straight lines, contains hidden depth that one might miss upon a cursory glance, and which is important to his geometry.
Mar 19, 2008
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Isaac M. McPhee
Uses of Mathematics
This article looks at some apparent advantages from a profound understanding of mathematics.
Mar 18, 2008
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D. Chen
The Basics of Knot Theory
Mathematicians are often known for their creativity; their unique ability to make sense of any worldly phenomenon using numbers. Knot theory is a perfect example of this.
Mar 17, 2008
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Isaac M. McPhee
Music and Mathematics
Mathematicians have been exploring the mysteries of music for centuries. The questions being asked are those which seek to better understand the perception of beauty.
Mar 11, 2008
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Isaac M. McPhee
The Golden Ratio
For thousands of years, the fact that aesthetic beauty could be determined by mathematical relationships baffled mathematicians, yet the truth of it is hard to deny.
Feb 22, 2008
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Isaac M. McPhee
An Explanation of Pi
The number pi has intrigued great thinkers for millenia. Only recently have mathematicians and scientists been able to truly understand how it relates to nature.
Feb 22, 2008
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Isaac M. McPhee
The Pythagorian School
While the Greek mathematician Pythagoras may have been brilliant, he also possessed certain interesting "eccentricities," in keeping with the times.
Feb 17, 2008
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Isaac M. McPhee
Benford's Law of Leading Digits
Benford's law is an interesting examination of the phenomenon wherein the leading digits of all numerical data seems to follow an illogical statistical pattern.
Feb 17, 2008
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Isaac M. McPhee
The Number Zero
As far as numbers go, zero has throughout history caused mathematicians no end of grief and discomfort, yet it remains an important chapter in mathematical history.
Feb 14, 2008
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Isaac M. McPhee
Euclidean v Non-Euclidean Geometry
While most people are far more familiar with the basic principles of Euclidean geometry, scientists have come to discover that the shape of our universe is non-Euclidean.
Feb 10, 2008
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Isaac M. McPhee
The Math of General Relativity
While the world rightly perceives Albert Einstein as having been a brilliant physicist, the mathematics of General Relativity were so difficult as to be beyond even him.
Feb 2, 2008
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Isaac M. McPhee