Quantization
Encyclopedia
Quantization is the procedure of constraining something from a relatively large or continuous set of values (such as the real number
s) to a relatively small discrete set (such as the integer
s). Quantization in specific domains is discussed in:
Similar term:
Real number
In mathematics, a real number is a value that represents a quantity along a continuum, such as -5 , 4/3 , 8.6 , √2 and π...
s) to a relatively small discrete set (such as the integer
Integer
The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...
s). Quantization in specific domains is discussed in:
- Quantization (signal processing)Quantization (signal processing)Quantization, in mathematics and digital signal processing, is the process of mapping a large set of input values to a smaller set – such as rounding values to some unit of precision. A device or algorithmic function that performs quantization is called a quantizer. The error introduced by...
- Quantization (image processing)Quantization (image processing)Quantization, involved in image processing, is a lossy compression technique achieved by compressing a range of values to a single quantum value. When the number of discrete symbols in a given stream is reduced, the stream becomes more compressible. For example, reducing the number of colors...
- Quantization (sound processing)Quantization (sound processing)In signal processing and digital audio, quantization is the process of approximating a continuous range of values by a relatively small set of discrete symbols or integer values...
- Quantization (music)Quantization (music)In digital music processing technology, quantization is the process of transforming performed musical notes to an underlying musical representation that eliminates this imprecision. The process results in notes being set on beats and on exact fractions of beats...
- Quantization (image processing)
- Quantization (physics)Quantization (physics)In physics, quantization is the process of explaining a classical understanding of physical phenomena in terms of a newer understanding known as "quantum mechanics". It is a procedure for constructing a quantum field theory starting from a classical field theory. This is a generalization of the...
- Canonical quantizationCanonical quantizationIn physics, canonical quantization is a procedure for quantizing a classical theory while attempting to preserve the formal structure of the classical theory, to the extent possible. Historically, this was Werner Heisenberg's route to obtaining quantum mechanics...
- Spatial quantizationSpatial quantizationIn quantum mechanics, spatial quantization is the quantization of angular momentum in three-dimensional space. It results from the fact that the angular momentum of a rigid rotor is expressed in three dimensions, and is quantized....
- Charge quantization
- Canonical quantization
- Quantization (linguistics)Quantization (linguistics)In linguistics, a quantized expression is such that, whenever it is true of some entity, it is not true of any proper subparts of that entity. Example: If something is an "apple", then no proper subpart of that thing is an "apple". If something is "water", then many of its subparts will also be...
- Quantization (noncommutative mathematics)
- Noncommutative geometryNoncommutative geometryNoncommutative geometry is a branch of mathematics concerned with geometric approach to noncommutative algebras, and with construction of spaces which are locally presented by noncommutative algebras of functions...
- Noncommutative geometry
Similar term:
- QuantificationQuantificationQuantification has several distinct senses. In mathematics and empirical science, it is the act of counting and measuring that maps human sense observations and experiences into members of some set of numbers. Quantification in this sense is fundamental to the scientific method.In logic,...