Search results
Results from the WOW.Com Content Network
Eternal return (or eternal recurrence) is a philosophical concept which states that time repeats itself in an infinite loop, and that exactly the same events will continue to occur in exactly the same way, over and over again, for eternity.
Recurrence and recurrent may refer to: Disease recurrence, also called "relapse" Eternal recurrence, the concept that the universe is perpetually recurring; Historic recurrence, the repetition of similar events in history; Poincaré recurrence theorem, Henri Poincaré's theorem on dynamical systems
In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only previous terms of the sequence appear in the equation, for a parameter that is independent of ; this number is called the order of the relation.
Recurrence relations are equations which define one or more sequences recursively. Some specific kinds of recurrence relation can be "solved" to obtain a non-recursive definition (e.g., a closed-form expression). Use of recursion in an algorithm has both advantages and disadvantages. The main advantage is usually the simplicity of instructions.
The recurrence time depends on the required degree of closeness (the size of the phase volume). To achieve greater accuracy of recurrence, we need to take smaller initial volume, which means longer recurrence time. For a given phase in a volume, the recurrence is not necessarily a periodic recurrence.
Historic recurrence is the repetition of similar events in history. [ a ] [ b ] The concept of historic recurrence has variously been applied to overall human history (e.g., to the rises and falls of empires ), to repetitive patterns in the history of a given polity , and to any two specific events which bear a striking similarity.
A return period, also known as a recurrence interval or repeat interval, is an average time or an estimated average time between events such as earthquakes, floods, [1] landslides, [2] or river discharge flows to occur. It is a statistical measurement typically based on historic data over an extended period, and is used usually for risk analysis.
Recurrent event analysis is a branch of survival analysis that analyzes the time until recurrences occur, such as recurrences of traits or diseases. Recurrent events are often analyzed in social sciences and medical studies, for example recurring infections, depressions or cancer recurrences.