nondecaying

Nondecaying refers to a state or process that does not diminish in quantity, intensity, or quality over time. It stands in contrast to phenomena that undergo decay, such as radioactive decay or the decay of organic matter. In a mathematical context, a nondecaying function or sequence is one that does not decrease. This means that for any given point in time or any element in a sequence, the subsequent point or element will be greater than or equal to it. This concept is fundamental in various fields, including physics, mathematics, and economics. For instance, in physics, certain fundamental quantities might be considered nondecaying under ideal conditions. In economics, a nondecaying investment might represent an asset that holds its value or appreciates indefinitely, although such absolute nondecay is rare in real-world financial markets. The term implies a form of persistence or invariance against the natural tendency towards deterioration or reduction. It is important to distinguish true nondecay from very slow decay, as in practical applications, absolute nondecay can be difficult to observe or achieve.