Definitions for simple function
sim·ple func·tion

WiktionaryRate this definition:0.0 / 0 votes

1. simple functionnoun

   Any complex-valued measurable function whose range is finite.

WikipediaRate this definition:0.0 / 0 votes

1. Simple function

   In the mathematical field of real analysis, a simple function is a real (or complex)-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently "nice" that using them makes mathematical reasoning, theory, and proof easier. For example, simple functions attain only a finite number of values. Some authors also require simple functions to be measurable; as used in practice, they invariably are. A basic example of a simple function is the floor function over the half-open interval [1, 9), whose only values are {1, 2, 3, 4, 5, 6, 7, 8}. A more advanced example is the Dirichlet function over the real line, which takes the value 1 if x is rational and 0 otherwise. (Thus the "simple" of "simple function" has a technical meaning somewhat at odds with common language.) All step functions are simple. Simple functions are used as a first stage in the development of theories of integration, such as the Lebesgue integral, because it is easy to define integration for a simple function and also it is straightforward to approximate more general functions by sequences of simple functions.

WikidataRate this definition:0.0 / 0 votes

1. Simple function

   In the mathematical field of real analysis, a simple function is a real-valued function over a subset of the real line which attains only a finite number of values. Some authors also require simple functions to be measurable; as used in practice, they invariably are. A basic example of a simple function is the floor function over the half-open interval [1,9, whose only values are {1,2,3,4,5,6,7,8}. A more advanced example is the Dirichlet function over the real line, which takes the value 1 if x is rational and 0 otherwise. Note also that all step functions are simple. Simple functions are used as a first stage in the development of theories of integration, such as the Lebesgue integral, because it is very easy to create a definition of an integral for a simple function, and also, it is straightforward to approximate more general functions by sequences of simple functions.

How to pronounce simple function?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say simple function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of simple function in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of simple function in Pythagorean Numerology is: 5

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Simple_Function
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Simple_Function
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=simple function