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Here, the list [0..] represents , x^2>3 represents the predicate, and 2*x represents the output expression.. List comprehensions give results in a defined order (unlike the members of sets); and list comprehensions may generate the members of a list in order, rather than produce the entirety of the list thus allowing, for example, the previous Haskell definition of the members of an infinite list.
For example, a ranged loop like for x = 1 to 10 can be implemented as iteration through a generator, as in Python's for x in range(1, 10). Further, break can be implemented as sending finish to the generator and then using continue in the loop.
Introduced in Python 2.2 as an optional feature and finalized in version 2.3, generators are Python's mechanism for lazy evaluation of a function that would otherwise return a space-prohibitive or computationally intensive list. This is an example to lazily generate the prime numbers:
In functional and list-based languages a string is represented as a list (of character codes), therefore all list-manipulation procedures could be considered string functions. However such languages may implement a subset of explicit string-specific functions as well.
The following list contains syntax examples of how a range of element of an array can be accessed. ... Python [8] [9] name[first: ... [16] some, others definable [17]
Python 2.7 and 3.x also support dict comprehensions (similar to list comprehensions), a compact syntax for generating a dictionary from any iterator: >>> square_dict = { i : i * i for i in range ( 5 )} >>> square_dict { 0 : 0 ,
SymPy is an open-source Python library for symbolic computation.It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3]
6.1.2 Example 2: Modified binomial ... If a n is a Dirichlet character then its Dirichlet series generating function is called a Dirichlet L-series. ... 1, 4, 9, 16 ...