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Posts Tagged ‘Leonhard Euler

I was expecting… well, a deep, booming voice…

Readers will recall the effort at CERN’s Large Hadron Collider to discover the Higg’s Boson— “The God Particle.”  The Telegraph reports that while the search for the sub-atomic fugitive continues, scientists have determined that, when it is created at the Swiss supercollider– if it is created— ” it will sound like several coins clattering around the bowl of a wine glass.”

source

Scientists used information from computer models to calculate what the creation of the particle will sound like, a process called “sonification”.

LHC Sound, a group of scientists, musicians and artists in London, has used data on the particles and matched it to qualities such as pitch and volume to determine how the collision will sound.

Dr Lily Asquith, who models data for the LHC and has contributed to the sound project, wrote on her blog: “Sound seems the perfect tool with which to represent the complexity of the data.

“Our ears are superb at locating the source and location of sounds relative to one another … We also have an incredible ability to notice slight changes in pitch or tempo over time and to recognise patterns in sound after hearing them just once.”

Read the full report here.

As we reinterpret the soundtracks of our lives, we might recall that it was on this date in 1742, in a letter to Leonhard Euler, that Christian Goldbach outlined his famous proposition, now know as “Goldbach’s Conjecture”:

Every even natural number greater than 2 is equal to the sum of two prime numbers.

It has been checked by computer for vast numbers– up to at least 4 x 1014– but remains unproved.

Goldbach’s letter to Euler (source, and larger view)

It’s all about the ink…

Euler’s Identity (source)

Called “the most remarkable formula in mathematics” by Richard Feynman, Leonhard Euler‘s Identity, as the equation in the tattoo is known, was named in a reader poll conducted by Mathematical Intelligencer as the most beautiful theorem in mathematics. Another reader poll conducted by Physics World named it the “greatest equation ever.” *

One can find other mathematical and scientific tattoos here…  and if one wishes to design one’s own, well…

… just click here.

As we steel ourselves for the needle, we might recall that on this date in 1947, George C. Marshall, a former general serving as Secretary of State, gave the speech at Harvard that laid the foundation for what became known as The Marshall Plan– the program under which the U.S. provided around $12 Billion (a fraction of the sum that the Federal government is “investing” in G.M, but real money in those days… ) to help finance the economic recovery of Europe in the wake of World War II.

George C. Marshall

Oh, and lest we forget, June is Accordion Appreciation Month.

* Why is Euler’s Identity considered beautiful?  Three basic arithmetic operations occur exactly once each: addition, multiplication, and exponentiation. The identity also links five fundamental mathematical constants:

-The number 0.
-The number 1.
-The number π, which is ubiquitous in trigonometry, geometry of Euclidean space, and mathematical analysis (π ≈ 3.14159).
-The number e, the base of natural logarithms, which also occurs widely in mathematical analysis (e ≈ 2.71828).
-The number i, imaginary unit of the complex numbers, which contain the roots of all nonconstant polynomials and lead to deeper insight into many operators, such as integration.

And the equation is “balanced,” with zero on one side.

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