Gottfried Wilhelm Leibniz (1646-1716) was one of the rare all-round geniuses in German history, often called the 'Aristotle of the 17th century.' He's most famous for independently inventing calculus, designing binary algorithms and early computers, and making a deep impact on philosophy and logic.

Parentheses usually refer to symbols used to indicate notes in an article, with common types including round brackets (), square brackets [], curly brackets {}, and so on.

Science is a systematized body of knowledge that reflects objective laws, and it's also a way to explore the world.

Koch snowflake generally refers to the Koch curve.

Johannes Kepler was a famous German astronomer and mathematician in the 17th century, born in 1571 and died in 1630.

Girolamo Cardano was an all-around scholar of the Italian Renaissance, making important contributions in math, medicine, astrology, and more.

A History of Mathematics' was written by the American math historian Carl Benjamin Boyer and was first published in 1968. In the preface, the author clearly pointed out that the book aims to fill the gap in the field of math history textbooks at the time, especially addressing the lack of systematic textbooks in American higher education.

A time-distance diagram, fully called a "time-distance diagram," is used in urban traffic signal line control and area control systems to coordinate the green light phase gaps of adjacent intersections. Line control is managed by the signal center controller, which oversees the local controllers to keep the system running smoothly.

Distance refers to the straight-line length between two points and is a scalar; displacement refers to the actual length of an object's movement path, and it is also a scalar. The main difference is: distance is the shortest path between two points (straight-line distance) and only depends on the starting and ending positions; displacement is the length of the actual path traveled and depends on the movement trajectory.

Matrix subtraction requires the two matrices to have exactly the same number of rows and columns. When calculating, you subtract the numbers in corresponding positions one by one to get a new matrix with the same dimensions.