It 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 introduction of logarithm by Scottish mathematician John Napier. Like pi and imaginary unit I, it is one of the most important constants in mathematics.
Application of "e":
The Special Significance of (1)e to Natural Numbers;
All 2n-type even numbers greater than 2 exist in the * * * yoke odd array centered on E, the sum of each group is 2n, and at least one group is a * * * yoke prime number.
It can be said to be the central axis of prime numbers, but it is only the central axis of odd numbers.
(2) Prime number theorem:
Natural constants are also related to the distribution of prime numbers. If there is a natural number A, there are probably 10 prime numbers smaller than it. When a is small, the result is incorrect. But with the increase of a, this theorem will become more and more accurate. This theorem is called the prime number theorem, which was discovered by Gauss.
(3) Completion rate:
Let the total number of paths of a complete graph be W and the total number of Hamilton paths be H, then W/h=e, which further proves that E is not intentionally constructed, and E can even be called completeness rate. To some extent, it is similar to pi, just as the limit complete graph is a circle and Hamilton Road is a diameter in graph theory. The meaning of natural constant is the ratio of the total number of paths in the limit complete graph to the total number of Hamilton paths.
Baidu Encyclopedia-Natural Constant