Leonhard Euler
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Leonhard Euler, Swiss mathematician and physicist.
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Historically, the first application of binary logarithms was in music theory, by Leonhard Euler: the binary logarithm of a frequency ratio of two musical tones gives the number of octaves by which the tones differ.
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Euler diagrams represent emptiness either by shading or by the absence of a region.
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It was not until the 18th century that Leonhard Euler proved that the formula 2p − 1(2p − 1) will yield all the even perfect numbers.
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The development of infinitesimal calculus was at the forefront of 18th-century mathematical research, and the Bernoullis—family friends of Euler—were responsible for much of the early progress in the field.
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The asteroid 2002 Euler was named in his honor.
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The paper written by Leonhard Euler on the Seven Bridges of Königsberg and published in 1736 is regarded as the first paper in the history of graph theory.
এখন আপনারা হয়ত ভাবছেন এই যাবতিয় জটিলতা আসলে দেখতে কেমন হয়।WikiMatrix WikiMatrix
In 1738, three years after nearly expiring from fever, he became almost blind in his right eye, but Euler rather blamed the painstaking work on cartography he performed for the St. Petersburg Academy for his condition.
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Using properties of this function, he generalized Fermat's little theorem to what is now known as Euler's theorem.
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This provides a starting point for one of the approaches to Teichmüller theory, which provides a finer classification of Riemann surfaces than the topological one by Euler characteristic alone.
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She also observes even earlier Euler-like diagrams by Ramon Llull in the 13th Century.
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As a result, it was made especially attractive to foreign scholars like Euler.
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The Euler characteristic of the real projective plane is 1, and in general the Euler characteristic of the connected sum of k of them is 2 − k.
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M. E. Baron has noted that Leibniz (1646–1716) in the 17th century produced similar diagrams before Euler, but much of it was unpublished.
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The political situation in Russia stabilized after Catherine the Great's accession to the throne, so in 1766 Euler accepted an invitation to return to the St. Petersburg Academy.
ভারতের শহরগুলোতে সীসা বিষক্রিয়ার প্রধান উৎস হল মোটরগাড়ি, যেগুলোতে এখনও সীসাযুক্ত গ্যাসোলিন ব্যবহার করা হয়।WikiMatrix WikiMatrix
In doing so, he discovered the connection between the Riemann zeta function and the prime numbers; this is known as the Euler product formula for the Riemann zeta function.
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He also introduced the modern notation for the trigonometric functions, the letter e for the base of the natural logarithm (now also known as Euler's number), the Greek letter Σ for summations and the letter i to denote the imaginary unit.
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With the aid of his scribes, Euler's productivity on many areas of study actually increased.
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As part of his work in this area, Euler published a table of binary logarithms of the integers from 1 to 8, to seven decimal digits of accuracy.
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Euler's vision in that eye worsened throughout his stay in Germany, to the extent that Frederick referred to him as "Cyclops".
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This usage was popularized in 1737 by Euler.
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Concerned about the continuing turmoil in Russia, Euler left St. Petersburg on 19 June 1741 to take up a post at the Berlin Academy, which he had been offered by Frederick the Great of Prussia.
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Unlike Venn diagrams, which show all possible relations between different sets, the Euler diagram shows only relevant relationships.
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There are examples of Euler diagrams with 9 sets that are not drawable using simple closed curves without the creation of unwanted zones since they would have to have non-planar dual graphs.
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A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all."
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Thanks to their influence, studying calculus became the major focus of Euler's work.
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