Notes: Interesting that if the universe is rotating as a whole that the inertial frame of an object is dragged with it so if you aim your gyroscope at a distant star it will not move out of the cross hairs of the gyroscope I think I feintly saw South America, Central Read more…
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…
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…
The 2 dimensional determinant of a matrix can be interpreted as the area of a parallelogram as shown in the following diagram. Numeric Example Compare that with the old fashioned area of two triangles that make up the parallelogram: Using Pythagoras: This carries on through higher dimensions. Read more…
Research Links The Maximum Entropy Principle – The distribution with the maximum entropy is the distribution nature chooses Maximum Entropy Distribution for Random Variable of Extent [0,Infinity] and a Mean Value Mu Quantum Harmonic Oscillator: Wavefunctions Hermite polynomials In many physical systems the question arises what is the probability Read more…
Research Links Additional notes Feb 2019: Google Video is long dead. You can see Lerner / Focus Fusion videos here. Youtube: LPPFusion Original notes from 2008 below. You can watch the focus fusion Google TechTalk here – ( the link died but I leave the text for old times sake. Read more…
In a previous article entropy was defined as the expected number of bits in a binary number required to enumerate all the outcomes. This was expressed as follows: entropy= H(x)= In physics ( nature ) it is found that the probability distribution that represents a physical process is the Read more…
Very interesting and experimental approach to entanglement and Bells inequality.
