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dplyr is an R package whose set of functions are designed to enable dataframe (a spreadsheet-like data structure) manipulation in an intuitive, user-friendly way. It is one of the core packages of the popular tidyverse set of packages in the R programming language. [1]
dplyr – for wrangling and transforming data; tidyr – help transform data specifically into tidy data, where each variable is a column, each observation is a row; each row is an observation, and each value is a cell. readr – help read in common delimited, text files with data; purrr – a functional programming toolkit
As of 2020-06-13, Metacran [17] listed 7 of the 8 core packages of the tidyverse in the list of most downloaded R packages. The group of packages strives to provide a cohesive collection of functions to deal with common data science tasks, including data import, cleaning, transformation and visualisation (notably with the ggplot2 package).
A modern, abstract point of view contrasts large function spaces, which are infinite-dimensional and within which most functions are 'anonymous', with special functions picked out by properties such as symmetry, or relationship to harmonic analysis and group representations. See also List of types of functions
The Dirac comb of period 2 π, although not strictly a function, is a limiting form of many directional distributions. It is essentially a wrapped Dirac delta function. It represents a discrete probability distribution concentrated at 2 π n — a degenerate distribution — but the notation treats it as if it were a continuous distribution.
Periodic function; List of periodic functions; Pfaffian function; Piecewise linear function; Piecewise property; Polyconvex function; Positive-definite function; Positive-real function; Progressive function; Proper convex function; Proto-value function; Pseudoanalytic function; Pseudoconvex function
Holomorphic function: complex-valued function of a complex variable which is differentiable at every point in its domain. Meromorphic function: complex-valued function that is holomorphic everywhere, apart from at isolated points where there are poles. Entire function: A holomorphic function whose domain is the entire complex plane.
Toggle Functions and sets subsection. 8.1 Definitions. 8.2 (Pre)Images of arbitrary unions ⋃'s and intersections ⋂'s. 8.3 (Pre)Images of binary set operations.