What does fixed point mean?

Definitions for fixed point
fixed point

This dictionary definitions page includes all the possible meanings, example usage and translations of the word fixed point.


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Wiktionary

  1. fixed pointnoun

    A value which is unchanged by a function or other mapping. Formally: a value x for which f(x) = x.

  2. fixed pointnoun

    A fractional-number representation with a fixed number of digits after the decimal point. Compare floating point and integer.

  3. fixed pointadjective

    Pertaining to fixed point representations or operations.

Wikidata

  1. Fixed point

    In mathematics, a fixed point of a function is a point that is mapped to itself by the function. A set of fixed points is sometimes called a fixed set. That is to say, c is a fixed point of the function f(x) if and only if f = c. This means f = fn = c, an important terminating consideration when recursively computing f. For example, if f is defined on the real numbers by then 2 is a fixed point of f, because f = 2. Not all functions have fixed points: for example, if f is a function defined on the real numbers as f(x) = x + 1, then it has no fixed points, since x is never equal to x + 1 for any real number. In graphical terms, a fixed point means the point is on the line y = x, or in other words the graph of f has a point in common with that line. Points which come back to the same value after a finite number of iterations of the function are known as periodic points; a fixed point is a periodic point with period equal to one. In projective geometry, a fixed point of a collineation is called a double point.

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Numerology

  1. Chaldean Numerology

    The numerical value of fixed point in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of fixed point in Pythagorean Numerology is: 5

Examples of fixed point in a Sentence

  1. Arthur Miller:

    The closer a man approaches tragedy the more intense is his concentration of emotion upon the fixed point of his commitment, which is to say the closer he approaches what in life we call fanaticism.


Translations for fixed point

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"fixed point." Definitions.net. STANDS4 LLC, 2024. Web. 10 Dec. 2024. <https://www.definitions.net/definition/fixed+point>.

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