The natural constant is a constant in mathematics, an infinite acyclic decimal and a transcendental number, which is about 2.7 1828, that is, the formula is IIM (1+ 1/x) x, x →
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 introduction of logarithm by Scottish mathematician John Napier. It is one of the most important constants in mathematics, just like pi and imaginary units I and E.
Extended data:
e？ Origin: One of the most intuitive methods is to introduce an economic name "compound interest". Compound interest method is a method to calculate interest. According to this method, the interest will be calculated according to the principal, and the newly obtained interest can also be calculated, so it is commonly called "rolling interest", "snowballing usury" or "overlapping interest".
As long as the period of calculating interest is closer, the wealth will grow faster and the compound interest effect will be more obvious when the term is longer. Before introducing the compound interest model, try to look at the more basic exponential growth model. Most bacteria reproduce through secondary division. Suppose a certain bacteria divides once every 1 day, that is, a growth cycle is 1 day, which means that the total number of bacteria per day is twice that of the previous day.
If it passes x? Days (or, after x? A growth cycle) is equivalent to turning over X? Time magazine. In x? God, will the total number of bacteria be twice the original number? Time magazine. If the initial number of bacteria is 1, then x? After a few days, the number of bacteria tripled.
The above formula means: x? In days, the total number of bacteria is q of the initial number of bacteria? Time magazine. If "splitting" or "doubling" is put in a more literary way, it can also be said to be "growth rate 100%" The mathematical connotation of this formula is: is the growth rate in a growth cycle R or increasing X? After a period of time, the total amount is the initial amount of Q? Time magazine.
Baidu Encyclopedia-Natural Constant