Discrete: Difference between revisions
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*In discrete mathematics, without notion of continuity, a discrete is a countable set; |
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*In [[perception]], a ''discrete entity'' is something that can be perceived individually and not as connected to, or part of something else. |
*In [[perception]], a ''discrete entity'' is something that can be perceived individually and not as connected to, or part of something else. |
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*In [[topology]], a branch of mathematics, a ''[[discrete space]]'' is a [[topological space]] in which all sets are [[open set|open]], and a ''discrete set'' is a set of [[isolated point]]s. |
*In [[topology]], a branch of mathematics, a ''[[discrete space]]'' is a [[topological space]] in which all sets are [[open set|open]], and a ''discrete set'' is a set of [[isolated point]]s. |
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*In [[discrete mathematics]], without notion of [[continuity]], a discrete is a [[countable]] set; this concept is also important for [[combinatorics]], [[probability theory]], and [[statistical theory]]. |
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*In [[discrete mathematics]] and in [[theoretical computer science]], the abstract world is usually modeled as a ''[[discrete space]]'' with ''[[discrete time]]''. |
*In [[discrete mathematics]] and in [[theoretical computer science]], the abstract world is usually modeled as a ''[[discrete space]]'' with ''[[discrete time]]''. |
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*In [[electrical engineering]], ''discrete'' means having separate [[electronics|electronic]] components, such as individual [[resistor]]s and [[inductor]]s. This is the opposite of [[integrated circuit]]ry. |
*In [[electrical engineering]], ''discrete'' means having separate [[electronics|electronic]] components, such as individual [[resistor]]s and [[inductor]]s. This is the opposite of [[integrated circuit]]ry. |
Revision as of 10:25, 8 October 2005
The word discrete comes from the Latin word discretus which means separate. It is used with different meanings in different contexts:
- In perception, a discrete entity is something that can be perceived individually and not as connected to, or part of something else.
- In topology, a branch of mathematics, a discrete space is a topological space in which all sets are open, and a discrete set is a set of isolated points.
- In discrete mathematics, without notion of continuity, a discrete is a countable set; this concept is also important for combinatorics, probability theory, and statistical theory.
- In discrete mathematics and in theoretical computer science, the abstract world is usually modeled as a discrete space with discrete time.
- In electrical engineering, discrete means having separate electronic components, such as individual resistors and inductors. This is the opposite of integrated circuitry.
- In audio engineering, discrete means having separate and independent channels of audio, as opposed to matrixed stereo or quadrophonic, or other multi-channel sound.
- A discrete signal in information theory and signal processing
- In music, a discrete pitch is one with a steady frequency, rather than an indiscrete gliding, glissando or portamento, pitch.
Discrete is not the same thing as discreet.