It is of great significance in physics, biology and other natural sciences, and is generally expressed as lnx. Logx is also commonly used in mathematics to represent natural logarithm.
Concept definition
The logarithm based on the constant e is called natural logarithm, and it is called lnn(n >；; 0)。
Leonhardeuler (1707- 1783) is a famous mathematician, Swiss, and lives in Russia and France most of the time. /kloc-got a master's degree at the age of 0/7, and began to study mathematics in his early years with the appreciation of Bernoulli, a mathematical genius, and continued to study mathematics after graduation. He is the most prolific writer in the history of mathematics. He published more than 700 papers before his death and died. He also solved the famous Seven Bridges problem.
He is a master of creating mathematical symbols. Firstly, the function is represented by f(x), the addition is represented by sigma, and the imaginary unit is represented by I. 1727, firstly, e is quoted to represent the base of natural logarithm. There are two Euler formulas. One is about polyhedron. If the number of convex polyhedrons is f, the number of vertices is v and the number of edges is e, then V-E+F=2, which is called Euler characteristic. The other is the expansion of e (i * x) = cos (x)+i * sin (x) about series. Where I is the square of the imaginary unit I =- 1.
The second definition
It refers to the limit value that can be reached by doubling the growth continuously in unit time.
source and course
1, the universe and life
The evolution of organisms has opposite characteristics, which is very different from the entropy described by the second law of thermodynamics. It enables organisms to avoid the decline of trends and environment. Any life is a dissipative structure system, and the reason why it can avoid the death state approaching the maximum entropy is because life can continuously absorb negative entropy from the environment through metabolic processes such as eating, drinking and breathing. The essence of metabolism is to let the organism successfully eliminate all the entropy it has to produce when it is alive.
2. The value of natural law
On the one hand, the "law of nature" embodies the collapse process of natural systems in the direction of chaos (such as the decay of elements), on the other hand, it shows the essence that life systems can maintain their stability and promote their development (such as cell reproduction) only through an orderly process. It is precisely because of this feature that order and disorder, life and death are in the same form, and "natural law" has important aesthetic value.
If the barren desert is the entropy increasing state of "natural law" in disorder and death, then the vast and vibrant grassland is the dynamic and stable structure of "natural law" in order and prosperity. Therefore, the desert makes people feel solemn, boundless and thought-provoking, reminding people of all kinds of difficulties and bumps in the course of life; Grassland, on the other hand, makes people excited, happy and feel the joy and happiness of life.