Mathematics

The decimal point appears thousands of years later than the decimal point. In the 3rd century in China, Liu Hui introduced decimal fractions, and a new notation for decimal numbers appeared in the Song and Yuan Dynasties; Western Stefan contributed the theory of decimal numbers. After later evolution, the dividers were once confused. Nowadays, there are two main writing methods in the world, and most modern mathematical symbols have been long sifted into universal use.

This paper takes the cumbersome description of mathematical problems in Algebra as an example to illustrate the role of mathematical symbols: simplifying expression, improving the generality of solutions, and promoting the development of mathematics. It has become a symbol of modern mathematics and an internationally accepted "Esperanto", highlighting its importance.

This paper discusses the reason why timing and angle are based on the sexary system, and points out that the sexary system was first used by the ancient Babylonians 3700 years ago. There are two speculations for its occurrence: one is related to the revolution period and the angle division of circles set by the ancient Babylonians; the other is that 60 is the number with the most factors within 100, combined with important factors such as the number of months and the number of fingers in the year.

This article explores why China first proposed the idea of binary system, mentioning the ancient decimal notation system and the symbol system of heaven stem, earth branch, and eight diagrams associated with traditional thought and culture. The Eight Trigrams are composed of two lines of yin and yang, corresponding to binary 1 and 0. Leibniz found that it is similar to binary, so he said that the China was the first to propose the idea of binary.

This article focuses on "Why does computers use binary", explains the background and role of carry system, introduces the origin and rules of binary, explains its advantages of fewer operating rules, and combines the dual-state characteristics of electronic circuits to explain the reason why modern computers adopt binary.

This article introduces the origin and development of the five operator symbols +, -, ×, ÷, and =:+, -were originally written in India and Greece. After the evolution of the merchant mark, Widman was officially used in 1489, and Veda advocated popularization;× Created by Orret in 1631, and ÷ was first found in Swiss algebra books;= Designed for Recode and popularized in the 18th century, Leibniz once suggested alternative symbols.

0 appeared much later than other numbers, and evolved into a circle after empty spaces and dots. It originated in India and spread to Europe through Arabia. It has multiple functions of non-representation, occupancy, and independent operation. It helps high-precision mathematical calculations, promotes modern science, and is a great invention that affects world civilization.

Math studies numbers and shapes, enabling models to describe, predict, and optimize phenomena; it underpins sciences and drives tech, finance, and medicine.

Describes how mathematics underpins algorithms, cryptography, machine learning, and numerical simulation, becoming a key driver of modern technological innovation.

Explains why mathematical modeling is increasingly important in the era of big data and cross-disciplinary problems, highlighting its role in decision support, forecasting, and innovation.

Explains why mathematics is required in primary and secondary schools, highlighting its role in developing logical thinking, problem-solving skills, and lifelong learning.

The romantic image of a lonely genius is unrealistic in modern mathematics, as remarkable achievements are the result of long-term collective research.