kokonaislukuisia

Kokonaislukuisia is a Finnish mathematical term used to describe numbers or quantities that take integer values. It is an adjective form derived from kokonaisluku, meaning integer. The word is typically employed in phrases such as kokonaislukuisia lukuja or kokonaislukuisia arvoja, indicating that the referred numbers are integers.

In Finnish mathematics, the noun for the set of all integers is kokonaisluvut. The property described by kokonaislukuisia emphasizes that a number or an expression has no fractional part; it can be written without a decimal component. For example, -3, 0, 7 and 42 are kokonaislukuisia lukuja, whereas 3.5 or sqrt(2) are not.

Kokonaislukuisia can also describe functions or mappings whose outputs are always integers. The concept aligns with the English term integer-valued. When discussing algebraic structures, integers form a closed set under addition, subtraction, and multiplication, but division does not generally yield an integer. They are discrete and countable, and they form a ring under standard operations. Subsets of integers include even numbers, odd numbers, positive integers (positiiviset kokonaisluvut), and non-negative integers (ei-negatiiviset kokonaisluvut).

Overall, kokonaislukuisia serves as a concise way to indicate an integer-valued property in Finnish mathematical writing, complementing the noun kokonaisluvut and related phrases.