paarisnonivahelised

Paarisnonivahelised refers to a concept in Estonian mathematics. It describes a relationship between two integers where their difference is an even number. In simpler terms, if you subtract one integer from another and the result is divisible by two, then those two integers are considered paarisnonivahelised. This property is equivalent to saying that both integers have the same parity, meaning they are either both even or both odd.

The term can be broken down into "paaris" (pair/even) and "nonivahelised" (non-intervening/different). While the literal translation might seem a bit convoluted, the mathematical meaning is straightforward. If 'a' and 'b' are two integers, they are paarisnonivahelised if a - b = 2k for some integer k. This condition is also met if a = b + 2k. Consequently, if 'a' is even, 'b' must also be even for them to be paarisnonivahelised. Similarly, if 'a' is odd, 'b' must also be odd.

This concept is fundamental in understanding number theory and modular arithmetic. It helps in classifying pairs of numbers based on their divisibility by two and their relative positions on the number line. For example, the numbers 4 and 10 are paarisnonivahelised because 10 - 4 = 6, which is an even number. Both 4 and 10 are even. The numbers 3 and 7 are also paarisnonivahelised because 7 - 3 = 4, which is even. Both 3 and 7 are odd. However, 5 and 8 are not paarisnonivahelised as 8 - 5 = 3, which is an odd number.