# Absolute Frequency Function

An Absolute Frequency Function is a frequency function that is restricted to counting the occurrence of some specific Multiset Member.

**AKA:**Freq, Occurrence Frequency Function.**Context:****domain:**Multiset, and a Set Element.**range:**Absolute Frequency Value.

**Example(s):**- Freq({
*b*, [math]c[/math],*a*, [math]b[/math],*a*},*a*) ⇒*2*. - a Term Frequency Function.
- an Experimental Frequency Function.

- Freq({
**Counter-Example(s):**- a Multiset Cardinality Function, e.g. [math]f[/math]({
*b*, [math]c[/math],*a*, [math]b[/math],*a*}) ⇒*5*. - a Multiset Membership Function, e.g. [math]f[/math]({
*b*, [math]c[/math],*a*, [math]b[/math],*a*}) ⇒ {*b*, [math]c[/math],*a*} - a Relative Frequency Function, e.g. [math]f[/math](
*a*, {*b*, [math]c[/math],*a*, [math]b[/math],*a*}) ⇒*2/5*. - a Frequency Table.

- a Multiset Cardinality Function, e.g. [math]f[/math]({
**See:**Frequency Function, Set Cardinality Function, Relative Frequency Function, Distribution, Ranking Function, Distribution Function, Set Member Frequency, Multiset Member Frequency.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Multiplicity_(mathematics)#See_also
- In mathematics, the multiplicity of a member of a multiset is how many memberships in the multiset it has. For example, the term is used to refer to the number of times a given polynomial equation has a root at a given point.
- The common reason to consider notions of multiplicity is to count correctly, without specifying exceptions (for example, double roots counted twice). Hence the expression counted with (sometimes implicit) multiplicity.
- When mathematicians wish to ignore multiplicity they will refer to the number of distinct elements of a set.

### 2004

- http://www.mathsteacher.com.au/year8/ch17_stat/03_freq/freq.htm
- The frequency of a particular data value is the number of times the data value occurs. For example, if four students have a score of 80 in mathematics, and then the score of 80 is said to have a frequency of 4. The frequency of a data value is often represented by f.
- A frequency table is constructed by arranging collected data values in ascending order of magnitude with their corresponding frequencies.

### 2002

- http://www.teacherlink.org/content/math/interactive/probability/glossary/glossary.html
- Frequency: Measures how often something occurs within some given distance or time period.