Berlin Musical Instrument Museum Berlin Musical Instrument Museum The Berlin Musical Instrument Museum () is located at the Kulturforum on Tiergartenstraße in Berlin, Germany. The Museum holds over 3,500 musical instruments from the 16th century onward and is one of the largest and most representative musical instrument collections in Germany. Objects include a portable harpsichord once owned by Prussia’s Queen Sophie Charlotte, flutes from the collection of Frederick the Great, and Benjamin Franklin’s glass harmonica. The Museum was founded in 1888 at the Royal Academy of Music in Berlin from a collection assembled by Philipp Spitta and Joseph Joachim. Thirty-four instruments from the Museum
Proof that e is irrational Proof that e is irrational The number "e" was introduced by Jacob Bernoulli in 1683. More than half a century later, Euler, who had been a student of Jacob's younger brother Johann, proved that "e" is irrational; that is, that it cannot be expressed as the quotient of two integers. Euler wrote the first proof of the fact that "e" is irrational in 1737 (but the text was only published seven years later). He computed the representation of "e" as a simple continued fraction, which is Since this continued fraction is infinite and every rational number has a terminating continued