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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.
In mathematics (including combinatorics, linear algebra, and dynamical systems), a linear recurrence with constant coefficients [1]: ch. 17 [2]: ch. 10 (also known as a linear recurrence relation or linear difference equation) sets equal to 0 a polynomial that is linear in the various iterates of a variable—that is, in the values of the elements of a sequence.
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.
In mathematics, and especially in numerical analysis, a homogeneous linear three-term recurrence relation (TTRR, the qualifiers "homogeneous linear" are usually taken for granted) [1] is a recurrence relation of the form
Recurrent neural network, a special artificial neural network; Recurrence period density entropy, an information-theoretic method for summarising the recurrence properties of dynamical systems; Recurrence plot, a statistical plot that shows a pattern that re-occurs; Recurrence relation, an equation which defines a sequence recursively
From January 2008 to December 2012, if you bought shares in companies when Jacquelyn Ward joined the board, and sold them when he left, you would have a -15.9 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
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.
From September 2008 to December 2012, if you bought shares in companies when Richard J. Harrington joined the board, and sold them when he left, you would have a 20.3 percent return on your investment, compared to a 17.5 percent return from the S&P 500.