Template:Mathematical expressions
The table below indicates the components that are commonly considered part of various types of mathematical expressions.
| Arithmetic expressions | Polynomial expressions | Algebraic expressions | Closed-form expressions | Analytic expressions | Mathematical expressions | |
|---|---|---|---|---|---|---|
| Constant | Yes | Yes | Yes | Yes | Yes | Yes |
| Variable | Yes | Yes | Yes | Yes | Yes | Yes |
| Elementary arithmetic operation | Yes | Yes | Yes | Yes | Yes | Yes |
| Factorial | Yes | Yes | Yes | Yes | Yes | Yes |
| Integer exponent | No | Yes | Yes | Yes | Yes | Yes |
| N-th root | No | No | Yes | Yes | Yes | Yes |
| Rational exponent | No | No | Yes | Yes | Yes | Yes |
| Irrational exponent | No | No | No | Yes | Yes | Yes |
| Logarithm | No | No | No | Yes | Yes | Yes |
| Trigonometric function | No | No | No | Yes | Yes | Yes |
| Inverse trigonometric function | No | No | No | Yes | Yes | Yes |
| Hyperbolic function | No | No | No | Yes | Yes | Yes |
| Inverse hyperbolic function | No | No | No | Yes | Yes | Yes |
| Gamma function | No | No | No | No | Yes | Yes |
| Bessel function | No | No | No | No | Yes | Yes |
| Special function | No | No | No | No | Yes | Yes |
| Continued fraction | No | No | No | No | Yes | Yes |
| Infinite series | No | No | No | No | Yes | Yes |
| Formal power series | No | No | No | No | No | Yes |
| Differential | No | No | No | No | No | Yes |
| Limit | No | No | No | No | No | Yes |
| Integral | No | No | No | No | No | Yes |