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Math

What could be more boring than a traffic jam?

I always wondered why a freeway with no accidents or other driver diversions such as a policeman pulling over a speeder can come to an almost complete halt.  I think if have figured out this mystery.  The following graph is velocity versus distance on a freeway.  Here in Phoenix there Read more…

By Fudgy McFarlen, 15 yearsApril 4, 2010 ago
Math

Integer solutions of pythagorean triangle relation

                                1      4      9      16      25     36      49  ….                      1       3      5      7       9      11     13                          Read more…

By Fudgy McFarlen, 15 yearsMarch 29, 2010 ago
Genetics

Video: Ultraconservation and living fossils Mysteries of the Human Genome

Genetic code is reused in exactly the same manner human programmers reuse code.  Thus once some random string of genetic coding is found useful there is a process that preserves it from change.  That change is called survival.  If it is a random string with no purpose then it is Read more…

By Fudgy McFarlen, 15 years ago
Information-Theory

Quantum Entanglement of Photons demonstrated in relatively low cost set up

Louis DeBroglie does not get the credit he deserves for original thinking in quantum machanics – DeBroglie thesis paper   – he won the Nobel Prize in 1929 for very good reasons which you will see if you read his thesis paper. I am looking for the single photon counter used Read more…

By Fudgy McFarlen, 16 yearsAugust 23, 2009 ago
Physics

Summary Outline of Richard Feynmans Thesis – Framework for learning QED and Quantum Mechanics in general

He was a fun guy.

By Fudgy McFarlen, 16 yearsAugust 21, 2009 ago
Computing

Memristor based nano computing promises to revolutionalize the ways we compute

  When memory elements become nonvolatile and can be configured as processing elements computing is going to start to use very different approaches.  Behavoiral evolution approaches will become dominant. Professor Chua talks with a more mathematical presentation on the memristor.  

By Fudgy McFarlen, 16 yearsJanuary 24, 2009 ago
Math

Find the equilateral triangle

Show that the curve: contains only one set of three distinct points, A, B, and C, which are vertices of an equilateral triangle, and find its area. The “curve” is actually reducible, because the left side factors as Moreover, the second factor is   so it only vanishes at . Read more…

By Fudgy McFarlen, 16 yearsNovember 21, 2008 ago
Math

Long hand division generation of polynomials

Do a long hand division of   x greater than or equal to 1 does not result in convergence of this sum.  However this algorithm can still be used to do some interesting things.  Let us use a complex value of    Each power of x yields a result one step around Read more…

By Fudgy McFarlen, 17 yearsNovember 12, 2008 ago
Math

Z transform of and exponentially decaying sequence

The series:          this converges for x < 1 : Both of these expressions are the Z transform of the  exponential decay sequence.  The first expression is easier to deal with because it is smaller and easier to work with.  The following diagram uses a decay sequence with   The filter Read more…

By Fudgy McFarlen, 17 yearsNovember 11, 2008 ago
Linear-System-Theory

Convolution of time signals using polynomials-The Super Easy Z transform

      The filter is the sum of the last 3 signal samples.  The signal is a pulse set of three ones.  The signal arrives 1 sample at a time. Notice the coefficients of the multiplied polynomials are equal to the signal output values at times 0 through 4. If Read more…

By Fudgy McFarlen, 17 yearsNovember 11, 2008 ago

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