An Unreasonable Man... The reasonable man adapts himself to the world; the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man. — George Bernard Shaw (attributed) Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century Masha...

Kepler’s New Astronomy... This year (2009) is the 400th anniversary of the publication of Johannes Kepler’s book New Astronomy (Astronomia Nova) announcing the discovery of the elliptical orbit of Mars to the world. The discovery of the elliptical orbit of Mars and the mathematical rule of motion for Mars on its elliptical...

Faster, Better, Cheaper Search Engines... Searching for documents and other items on the Web or computers is often tedious and time consuming. Time is money. Highly paid professionals spend hours, days, and even longer searching for information on the Web or computers. Most search today is done using key word and phrase matching, often combined...

Complex Algorithm Research and Developme... An algorithm is a procedure or formula for solving a problem. For the purposes of this article, a complex algorithm is defined as an algorithm that embodies advanced mathematical or logical methods and requires at least one thousand (1000) lines of the C/C++ programming language to implement. The term C/C++...