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CuPy is an open source library for GPU-accelerated computing with Python programming language, providing support for multi-dimensional arrays, sparse matrices, and a variety of numerical algorithms implemented on top of them. [3]
Folds can be regarded as consistently replacing the structural components of a data structure with functions and values. Lists, for example, are built up in many functional languages from two primitives: any list is either an empty list, commonly called nil ([]), or is constructed by prefixing an element in front of another list, creating what is called a cons node ( Cons(X1,Cons(X2,Cons ...
It may be used to prove Nicomachus's theorem that the sum of the first cubes equals the square of the sum of the first positive integers. [2] Summation by parts is frequently used to prove Abel's theorem and Dirichlet's test.
The standard query operator API also specifies certain operators that convert a collection into another type: [3] AsEnumerable: Statically types the collection as an IEnumerable<T>. [4] AsQueryable: Statically types the collection as an IQueryable<T>. ToArray: Creates an array T[] from the collection. ToList: Creates a List<T> from the collection.
Users can transform or summarize data by applying arbitrary functions. [ 4 ] : 132 Since Pandas is built on top of NumPy, all NumPy functions work on Series and DataFrames as well. [ 9 ] : 115 Pandas also includes built-in operations for arithmetic, string manipulation, and summary statistics such as mean , median , and standard deviation .
Python sets are very much like mathematical sets, and support operations like set intersection and union. Python also features a frozenset class for immutable sets, see Collection types. Dictionaries (class dict) are mutable mappings tying keys and corresponding values. Python has special syntax to create dictionaries ({key: value})
Dolly Parton is opening up about her "homebody" husband, Carl Thomas Dean.. On the Monday, Dec. 9 episode of Bunnie Xo's Dumb Blonde podcast, the country music icon, 78, revealed her notoriously ...
One of the most common examples of an algebraic data type is the singly linked list. A list type is a sum type with two variants, Nil for an empty list and Cons x xs for the combination of a new element x with a list xs to create a new list. Here is an example of how a singly linked list would be declared in Haskell: