Seisu

Seisu is a Japanese term that translates to "integer" in English. In mathematics, integers are whole numbers, including positive numbers, negative numbers, and zero. They do not have fractional or decimal components. The set of integers is commonly denoted by the symbol Z, which originates from the German word "Zahlen" meaning "numbers."

The set of integers includes ..., -3, -2, -1, 0, 1, 2, 3, ... . Positive integers are also known as natural numbers (sometimes excluding zero, depending on the convention), while negative integers are their additive inverses. Zero is neither positive nor negative. Integers are fundamental to many areas of mathematics, including arithmetic, algebra, and number theory. They form a ring, meaning that addition, subtraction, and multiplication of integers always result in another integer. Division of integers, however, does not always result in an integer, leading to the concept of rational numbers.

In computer science, integers are a fundamental data type used to represent whole numbers. Different programming languages offer various integer types with different ranges and sizes to accommodate specific needs, such as `int`, `long`, and `short`. These types are crucial for counting, indexing, and performing calculations involving discrete quantities. The concept of seisu is therefore pervasive in both theoretical and practical applications of mathematics and computing.