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What (who) is uniformizing function - definition
PRINCIPAL IDEAL DOMAIN THAT IS A LOCAL RING AND NOT A FIELD
M-adic topology; Uniformizing parameter; Uniformizing element; Uniformizer; Uniformiser; Uniformizers; Uniformisers; Uniformising parameter; Uniformising element
Uniform Function Call Syntax
PROGRAMMING LANGUAGE FEATURE THAT ALLOWS FREESTANDING FUNCTIONS TO BE CALLED USING THE SYNTAX FOR METHOD CALLS
UFCS; Universal Function Call Syntax
Uniform Function Call Syntax (UFCS) or Uniform Calling Syntax (UCS) or sometimes Universal Function Call Syntax is a programming language feature in D and Nim that allows any function to be called using the syntax for method calls (as in object-oriented programming), by using the receiver as the first parameter, and the given arguments as the remaining parameters. UFCS is particularly useful when function calls are chained (behaving similar to pipes, or the various dedicated operators available in functional languages for passing values through a series of expressions).
Function (mathematics)
![The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]](https://commons.wikimedia.org/wiki/Special:FilePath/Motor vehicle deaths in the US.svg?width=200 "The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]")
![Graph of two trigonometric functions: [[sine]] and [[cosine]].](https://commons.wikimedia.org/wiki/Special:FilePath/Sine cosine one period.svg?width=200 "Graph of two trigonometric functions: [[sine]] and [[cosine]].")
ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT
Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation
In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously.
Transfer function
FUNCTION SPECIFYING THE BEHAVIOR OF A COMPONENT IN AN ELECTRONIC OR CONTROL SYSTEM
Transfer-function; Transfer Function; Natural response; Pulse-transfer function; Network function; Transfer curve; Transfer characteristic; System function
In engineering, a transfer function (also known as system functionBernd Girod, Rudolf Rabenstein, Alexander Stenger, Signals and systems, 2nd ed., Wiley, 2001, p.
Wikipedia
Discrete valuation ring
In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non-zero maximal ideal.
This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions:
- R is a local principal ideal domain, and not a field.
- R is a valuation ring with a value group isomorphic to the integers under addition.
- R is a local Dedekind domain and not a field.
- R is a Noetherian local domain whose maximal ideal is principal, and not a field.
- R is an integrally closed Noetherian local ring with Krull dimension one.
- R is a principal ideal domain with a unique non-zero prime ideal.
- R is a principal ideal domain with a unique irreducible element (up to multiplication by units).
- R is a unique factorization domain with a unique irreducible element (up to multiplication by units).
- R is Noetherian, not a field, and every nonzero fractional ideal of R is irreducible in the sense that it cannot be written as a finite intersection of fractional ideals properly containing it.
- There is some discrete valuation ν on the field of fractions K of R such that R = {0} {x K : ν(x) ≥ 0}.
