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Thursday, January 22, 2009

Mathematica Algorithms and Puzzles


If you studied math, engineering, or computers in high school and college then you most likely have heard of "Mathematica" software. Mathematica is a robust software program that can complete a multitude of functions. For example, you can use it to graph and understand complex Calculus problems or you can use Mathematica to model an engineering problem such as the New Orleans levee system. (Apparently they didn't use Mathematica software to test the strength of the levees!)

Mathematica is not just any math and science software program. It can cover such a wide range of situations with different parameters and factors that it is an exciting piece of software. Mathematica is based on sets of algorithms that are unique in nature. Mathematica software was created by physicist Stephen Wolfram in 1988. It is used in many secondary schools, colleges, and universities around the nation. I have used it in my calculus, physics, and engineering classes.

The reason I am writing about Mathematica today is that Stephen Wolfram authored a book in 2002, titled "A New Kind of Science" that I think any puzzle fan would like. This extensive book will spark the interest of not only math lovers, but puzzle lovers as well. Math and puzzle aficionados can relate to the joy of spending time trying to figure out the solution to a problem.

"A New Kind of Science" attempts to explain the mysteries and puzzles of the universe. Stephen Wolfram has devised a new method and perspective of looking at these mysteries including engineering laws of thermodynamics and biological explanations. He tested his theories by creating software programs that are based on various algorithms. He wished to show that a simple algorithm will not always yield a simple answer. And vice versa, a complex algorithm will not always yield a complex answer. He has set out to prove that he can solve any puzzle that comes his way by using specific algorithms.

This is not an entirely new perspective, but the depth at which he has done his research and presents his solutions makes it a credible point of view. Perhaps different industries will take note of his findings. Computer technology is advancing at a rapid pace everyday and he is looking for ways to improve various software systems and code protocols.

What is exciting is that he is attempting to create a new form of science. He seeks to solve the puzzles that were once deemed unsolvable. Isn't that what we all strive to do as puzzle and game lovers? Solve the puzzle before everyone else does or create a puzzle of our own for others to figure out? Creating a puzzle is a puzzle in itself!

Want to learn more about Stephen Wolfram and his "New Kind of Science"? You can actually download and read his book at his website: http://www.wolframscience.com. He discusses the algorithms as they relate to everything from biological issues to finance. For example, in the Finance section he discusses the notion of randomness as it relates to stocks, bonds, and commodities.

So take a look at Stephen Wolfram's work if you feel like taking a break from your puzzle or game. You can learn the behind-the-scenes information about problems and puzzles that is really fascinating. It will help you to appreciate and marvel at the complexity of puzzles and games.

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