-
Sack’s and Ulam Spiral
Numbers on the marked curve are of the form x2 + x + 41, the famous prime-generating formula discovered by Euler in 1772. http://www.numberspiral.com/index.html Riemann discovered a geometric landscape, the contours of which held the secret to the way primes are distributed through the universe of numbers. It seemed the patterns Montgomery was predicting for…
-
Where is Our Starting Point?
“The end he (the artist) strives for is something else than a perfectly executed print. His aim is to depict dreams, ideas, or problems in such a way that other people can observe and consider them.” – M.C. Escher The Nobel Prize in Physics 1914 Max von Laue Quasicrystal: Prof. Dan Shechtman Can you trace…
-
DNA Computing
DNA computing is a form of computing which uses DNA, biochemistry and molecular biology, instead of the traditional silicon-based computer technologies. DNA computing, or, more generally, molecular computing, is a fast developing interdisciplinary area. Research and development in this area concerns theory, experiments and applications of DNA computing See:DNA computing *** Clifford of Asymptotia is…
-
Sacks Spiral
Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state. Mathematics Problem That Remains Elusive —And Beautiful By Raymond Petersen Sacks Spiral of prime numbers Robert Sacks…
-
The Whole World is a Stage
Euler product formula Now you must know what sets my mind to think in such abstract spaces. “Probability of seeing a stage in a concert.“ All The World’s A Stageby William ShakespeareFrom: As you Like It, Act II Scene VII Jaques:All the world’s a stage,And all the men and women merely players:They have their exits…
-
Nature’s Experiment on the Meaning of Weight
“Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state.” Mathematics Problem That Remains Elusive—And Beautiful By Raymond Petersen This picture resides at the bottom of my…
-
Mind Maps: Mathematical Structures?
<a href="http://en.wikipedia.org/wiki/Platonic_doctrine_of_recollection" target=_BLank title="The Platonic doctrine of recollection is the idea that we are born possessing all knowledge and our realization of that knowledge is contingent on our discovery of it. Whether the doctrine should be taken literally or not is a subject of debate. The soul is trapped in the body. The soul once…
-
Comparing Amplitutdes of the String
Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state. So one tends to get in this mode of thinking, that the way in which one measures…
-
Euler’s Konigsberg’s Bridges Problem
“Liesez Euler, Liesez Euler, c’est notre maître à tous”(“Read Euler, read Euler, he is our master in everything”) – Laplace I should say here that the post by Guest post: Marni D. Sheppeard, “Is Category Theory Useful ?” over at A Quantum Diaries Survivor, continues to invoke my minds journey into the abstract spaces of…
-
The History of Magnetic Vision
Grossmann is getting his doctorate on a topic that is connected with non-Euclidean geometry. I don’t know what it is. Einstein to Mileva Maric,1902 Animal Navigation The long-distance navigational abilities of animals have fascinated humans for centuries and challenged scientists for decades. How is a butterfly with a brain weighing less than 0.02 grams able…
-
Prime Numbers and the Landscape
It would also prove to be significant in confirming the connection between primes and quantum physics. Using the connection, Keating and Snaith not only explained why the answer to life, the universe and the third moment of the Riemann zeta function should be 42, but also provided a formula to predict all the numbers in…
