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Today it is no secret that one of the greatest musicians the world has ever known was functionally deaf by his mid-40s. It was a tragic irony Beethoven wished the world understood, not just from a personal perspective, but a medical one.
The composer would outlive his doctor by nearly two decades, yet close to two centuries after Beethoven's death a team of researchers set out to fulfil his testament in ways he would never have dreamed possible, by genetically analyzing the DNA in authenticated samples of his hair.
"Our primary goal was to shed light on Beethoven's health problems, which famously include progressive hearing loss, beginning in his mid- to late-20s and eventually leading to him being functionally deaf by 1818," says biochemist Johannes Krause from the Max Planck Institute for Evolutionary Anthropology in Germany.
It wasn't just hearing loss the composer had to deal with in his adult life. From at least the age of 22 he is said to have suffered severe abdominal pains and chronic bouts of diarrhea.
Double-precision floating-point implementations of the gamma function and its logarithm are now available in most scientific computing software and special functions libraries, for example TK Solver, Matlab, GNU Octave, and the GNU Scientific Library.
The program is named after Octave Levenspiel, a former professor of the principal author. Levenspiel was known for his ability to perform quick back-of-the-envelope calculations.
In the natural sciences, back-of-the-envelope calculation is often associated with physicist Enrico Fermi, who was well known for emphasizing ways that complex scientific equations could be approximated within an order of magnitude using simple calculations. He went on to develop a series of sample calculations, which are called "Fermi Questions" or "Back-of-the-Envelope Calculations" and used to solve Fermi problems.
The estimation technique is named after physicist Enrico Fermi as he was known for his ability to make good approximate calculations with little or no actual data. Fermi problems typically involve making justified guesses about quantities and their variance or lower and upper bounds. In some cases, order-of-magnitude estimates can also be derived using dimensional analysis.
Read famous Poetry of Gorakhnath | Hindwi
The Gurkhas of Nepal take their name from this saint. Gorkha, a historical district of Nepal, is named after him.
Gorakhnath - Wikipedia
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