Mitteväheneb

Mitteväheneb is an Estonian term that translates to "non-decreasing" in English. It is a mathematical concept used to describe the behavior of a sequence or function. A sequence is considered non-decreasing if each term is greater than or equal to the previous term. Similarly, a function is non-decreasing if for any two input values, where the first is less than or equal to the second, the function's output for the first input is less than or equal to the function's output for the second input.

This property is distinct from strictly increasing, where each term must be strictly greater than the previous one. In a non-decreasing sequence, consecutive terms can be equal. For example, the sequence 1, 2, 2, 3, 4 is non-decreasing. The sequence 1, 3, 2, 4 is not non-decreasing because the third term (2) is less than the second term (3).

The concept of non-decreasing is fundamental in various areas of mathematics, including calculus, analysis, and discrete mathematics. It is often encountered when studying limits, convergence, and the properties of functions. Understanding whether a function or sequence is non-decreasing helps in predicting its behavior and proving theorems. The opposite of a non-decreasing function or sequence is a non-increasing one, where each term is less than or equal to the previous one.