# Mathematical Constant

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A Mathematical Constant is a numeric value in a mathematical statement.

**Context:**- It can be a part of a Mathematical Sentence, such as an Algebraic Function Definition.

**Example(s):**- [math]\displaystyle{ 2 }[/math] and [math]\displaystyle{ \pi }[/math], in [math]\displaystyle{ f(r)=2 \pi r }[/math]
- Euler's Number.
- a Mathematical Constant Definition, such as [math]\displaystyle{ \phi = 2 + \sqrt{2} }[/math].
- …

**Counter-Example(s):**- a Free Variable, such as [math]\displaystyle{ x }[/math] in </math>f(r)=2 \pi r</math>

**See:**Data Value, Constant.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Constant
- A
**constant**in mathematics is an amount that does not change, over time or otherwise: it is a fixed value. In most fields of discourse the term is an antonym of "variable", but in mathematical parlance a mathematical variable may sometimes also be called a constant. - More particularly, the term
**constant**has several uses:

- A
- In mathematics and computer science:
- Mathematical constant, a number that arises naturally in mathematics, such as π and
*e* - A coefficient or other parameter in a formula; given as a number or as a variable, but not being considered one of the arguments
- The constant term of a polynomial (the term of degree 0)
- A constant function (a function that maps all arguments to one same value)
- The constant of integration, usually denoted by [math]\displaystyle{ C }[/math] and expressing a free parameter arising in integration
- Logical constant, a symbol in symbolic logic that has the same meaning in all models, such as the symbol "=" for "equals"
- Constant (programming), a name for a value that, unlike a variable, cannot be reassociated with a different value
- Constant time, or O(1) time, in computational complexity theory, meaning a computation time needed for solving a problem that does not depend on the size of the input data
- Exact trigonometric constants.

- Mathematical constant, a number that arises naturally in mathematics, such as π and
- In physics and chemistry:
- Physical constant, a physical quantity that is generally believed to be both universal in nature and constant in time, such as [math]\displaystyle{ c }[/math], the speed of light, or [math]\displaystyle{ h }[/math], the Planck constant.
- Cosmological constant, usually denoted by Λ, a parameter modifying the original equations of the theory of general relativity, introduced by Einstein and important for determining the ultimate fate of the universe as predicted by the theory
- Time constant, usually denoted by τ, a value characterizing the frequency response of a first-order, linear time-invariant system
- Reaction rate constant, often denoted [math]\displaystyle{ k }[/math] or λ, a value characterizing the speed of a chemical reaction

- People named Constant:
- Constans, a Roman Emperor who ruled from 337 to 350
- Constant Nieuwenhuys, a painter and member of the Situationist International.
- Constant (given name).
- Constant (surname).