What is quotient and index?

Quotient refers to the answer in division arithmetic. For example, 3 divided by 2 equals 1.5, and 3 is the dividend; 2 is a divisor; And 1.5 is the quotient.

Exponent represents power in mathematics, and the relative number formed by comparing any two values can be called exponent; The narrow index is a special relative number, which is used to measure the comprehensive changes of multiple projects in different occasions.

Since the historical era, the main principles in mathematics have been formed, which are used for tax and trade calculation, for understanding the relationship between numbers, for measuring land, and for predicting astronomical events. These needs can be simply summarized as the study of quantity, structure, space and time in mathematics.

By16th century, elementary mathematics, such as arithmetic, elementary algebra and trigonometry, had been basically completed. The appearance of the concept of variables in the17th century made people begin to study the relationship between variables and the mutual transformation between graphs. In the process of studying classical mechanics, the method of calculus was invented. With the further development of natural science and technology, set theory and mathematical logic, which are produced for studying the basis of mathematics, have also begun to develop slowly.

Mathematics has been continuously extended since ancient times, and has rich interaction with science, and both of them have benefited a lot. There are many discoveries in mathematics in history, and they are still being discovered today. According to Mikhail B. Sevryuk's record in the Bulletin of the American Mathematical Society of June 5438+ 10, 2006: "Since 1940 (the first year of mathematical review), the number of papers and books in the database of mathematical reviews has exceeded1900,000, with an annual increase of more than 750,000. Most of this learning sea is a new mathematical theorem and its proof. "