Ads
related to: recurrences and solving techniques in statistics 6th edition ebook
Search results
Results from the WOW.Com Content Network
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.
The approach was first presented by Jon Bentley, Dorothea Blostein (née Haken), and James B. Saxe in 1980, where it was described as a "unifying method" for solving such recurrences. [1] The name "master theorem" was popularized by the widely used algorithms textbook Introduction to Algorithms by Cormen, Leiserson, Rivest, and Stein.
The Akra–Bazzi method is more useful than most other techniques for determining asymptotic behavior because it covers such a wide variety of cases. Its primary application is the approximation of the running time of many divide-and-conquer algorithms.
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.
The constant-coefficient linear recurrences which are periodic are precisely the power series coefficients of rational functions whose denominators are products of cyclotomic polynomials. In the theory of combinatorial generating functions, the denominator of a rational function determines a linear recurrence for its power series coefficients.
Despite being marketed as a supplement, several titles have become widely used as primary textbooks for courses [citation needed] (the Discrete Mathematics and Statistics titles are examples). This is particularly true in settings where an important factor in the selection of a text is the price, such as in community colleges .
Image source: Getty Images. Baby boomers: Not embracing the Roth 401(k) Baby boomers saw the first 401(k)s in 1978, and most have stuck with these traditional plans to the present day.
The main advantage of the recurrence quantification analysis is that it can provide useful information even for short and non-stationary data, where other methods fail. RQA can be applied to almost every kind of data. It is widely used in physiology, but was also successfully applied on problems from engineering, chemistry, Earth sciences etc.
Ads
related to: recurrences and solving techniques in statistics 6th edition ebook