alternized

Alternized refers to a process or state where something has undergone a systematic alternation or variation. This term is most commonly associated with the field of mathematics, particularly in the study of sequences and series. In this context, an alternized sequence is one where the signs of the terms alternate, such as positive, negative, positive, negative, and so on. For example, the series 1 - 1/2 + 1/3 - 1/4 + ... is an alternized series.

The concept of alternation can also appear in other areas. In music, an alternated harmony might involve a repeating chord progression where one chord is consistently replaced by another in an alternating pattern. In general usage, "alternized" can describe any situation where two or more elements are presented in a regular, repeating sequence. The key characteristic is the predictable switching between different states or components. Understanding what is being alternized is crucial for interpreting the term's specific meaning in any given context.