E can represent the limit of continuous compound interest. In finance, continuous compound interest refers to the process of continuously calculating interest and accumulating it to the principal in a period, and continuous cycle calculation. When the interest rate increases indefinitely, the calculation of compound interest tends to a limit value, which is E. Therefore, E can be regarded as a mathematical expression of the limit case of continuous compound interest.
E also plays an important role in calculus. The derivative of e is still itself, that is, de/dx = e, which is very important in calculus and can be used to derive some important mathematical formulas and theorems. In addition, the power series expansion of e is the sum of an infinite term, which is also very useful in solving some mathematical problems.
In addition to its application in mathematics, E is also widely used in physics, biology and other natural sciences. For example, in physics, e can be used to describe the natural growth process such as radioactive decay rate and population growth; In biology, e can be used to describe the growth trend of life processes such as bacterial growth and virus transmission.
Logarithm is a special mathematical concept and a concise representation of power. Specifically, for any two positive real numbers A and B (A >; ; 0), if there is a real number X that makes a x = b, then we will call X the logarithm of B based on A, and record it as log(a)(b).
Logarithmic knowledge:
The definition of logarithm can be regarded as an inverse operation, just the opposite of power operation. When we need to calculate the power of a number, we need to know the base and exponent of the number and then multiply them. Logarithm, on the other hand, represents power as radix, without knowing exponent.
An important property of logarithm is monotonicity. Simply put, if the radix is a>；; 1, then for any two positive real numbers b and c (b
Logarithm is widely used in mathematics. For example, when solving an equation, we often need to express the left or right side of the equation as a power with a certain number as the base. At this time, it is necessary to use logarithm for conversion.