zero618e's blog

Russell Towle: 1949--2008

October 13, 2008 by zero618e

Read what's new today in the Wolfram Blog...

Russell Towle: 1949--2008
by Stephen Wolfram

Pythagorean Triplets and Pell's Equation

September 14, 2008 by zero618e

Now that I have a general theory for all 2 variable quadratic
Diophantine equations it's worth coming back to note again the weird
connection I found between certain Pythagorean Triplets and Pell's
Equation in the form
x^2 - Dy^2 = 1
when D-1 is a perfect square. For instance for D=2, I have that for
every solution of Pell's Equation you have a Pythagorean Triplet!

Word Play with Mathematica

August 3, 2008 by zero618e

Here in Champaign-Urbana, where Roger Ebert was raised, I took notice when Disney announced the end of its long relationship with Ebert & Roeper. Disney also announced the replacement critics, Lyons & Mankiewicz. Was there something intentional in that?