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In Python, functions are first-class objects that can be created and passed around dynamically. Python's limited support for anonymous functions is the lambda construct. An example is the anonymous function which squares its input, called with the argument of 5:
A Fibonacci sequence of order n is an integer sequence in which each sequence element is the sum of the previous elements (with the exception of the first elements in the sequence). The usual Fibonacci numbers are a Fibonacci sequence of order 2.
The name "Fibonacci sequence" was first used by the 19th-century number theorist Édouard Lucas. [22] Solution to Fibonacci rabbit problem: In a growing idealized population, the number of rabbit pairs form the Fibonacci sequence. At the end of the nth month, the number of pairs is equal to F n.
A core concept in Biopython is the biological sequence, and this is represented by the Seq class. [11] A Biopython Seq object is similar to a Python string in many respects: it supports the Python slice notation, can be concatenated with other sequences and is immutable. In addition, it includes sequence-specific methods and specifies the ...
For example, a Ducci sequence starting with the n-tuple (1, q, q 2, q 3) where q is the (irrational) positive root of the cubic = does not reach (0,0,0,0) in a finite number of steps, although in the limit it converges to (0,0,0,0).
The sequence of values M computed by this search is exactly the sequence of values on the path from the root to q in the Stern–Brocot tree. Each open interval ( L , H ) occurring at some step in the search is the interval ( L M , H M ) representing the descendants of the mediant M .
Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, (sequence A000396 in the OEIS), even though we do not have a formula for the nth perfect number.
A simple example is the time an algorithm takes to find an element in an ordered vector with elements, in the worst case. A naive algorithm will search from left to right, one element at a time. The worst possible scenario is when the required element is the last, so the number of comparisons is .