Origin of logarithm ln(log e)d
As a mathematical constant, e is the basis of natural logarithmic function. Sometimes called Euler number, named after the Swiss mathematician Euler; There is also a relatively rare name, Napier constant, to commemorate the Scottish mathematician John? Napier introduced logarithm. It is one of the most important constants in mathematics, just like pi and imaginary units I and E. Its numerical value is about (decimal point 100): e ≈ 2.7182818284 59045 23536 02874 71352 66249 77572 47093 6995 95749 66966. 16/kloc-a table in the appendix of napier's logarithmic works published in 0/8. But it does not record this constant, only a list of natural logarithms calculated from it, which is usually William? Made in William Oughtred. Is it the first time that Jacob regards e as a constant? Jacob Bernoulli. The first known use of the constant E is Leibniz's communication with Huygens in 1690 and 169 1, which is denoted by B. In 1727, Euler began to denote this constant with E; E was first used in publications, and it was Euler Mechanics in 1736. Although some researchers later used the letter C, E was widely used and finally became the standard. The reason why E is used is really unknown, but it may be because E is the first letter of the word "index". Another view is that A, B, C and D have other common usages, and E is the first available letter. However, it is unlikely that Euler chose this letter because it is the initials of his own name, because he is a very modest person and always properly affirms the work of others. Many growth or decay processes can be simulated by exponential function. The important thing about exponential function is that it is the only function whose derivative is equal to (multiplied by a constant). E is irrational number and transcendental number (see Lindemann-Weierstrass theorem). This is the first one that is proved to be a transcendental number, but it is not intentionally constructed (compare Liouville number); Charles wrote it. Charles Hermite proved in 1873.