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alpha>Sarika: Created page with "The table below indicates the components that are commonly considered part of various types of mathematical expressions. With some exceptions, an expression can onl..."

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wikipedia>Jochem van Hees: caps fix

2022-01-11T12:07:51Z

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<noinclude>The table below indicates the components that are commonly considered part of various types of mathematical expressions. With some exceptions, an expression can only have components that themselves have components of that type. For example, algebraic expressions can only have constants that are themselves algebraic, and finite sums and products in algebraic expressions can only have algebraic arguments.
</noinclude>{| class="wikitable" style="font-size:90%; text-align:center;"
|-
! style="text-align:left; padding-left:0.5em;" | {{navbar|Mathematical expressions|mini=1}}
! [[Expression (mathematics)|Arithmetic expressions]]
! [[Polynomial expression]]s
! [[Algebraic expression]]s
! [[Closed-form expression]]s
! [[Closed-form expression#Analytic expression|Analytic expressions]]
! [[Expression (mathematics)|Mathematical expressions]]
|-
! [[Constant (mathematics)|Constant]]
| {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Elementary arithmetic|Elementary arithmetic operation]]
| {{yes}} || Addition, subtraction, and multiplication only || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Summation|Finite sum]]
| {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Multiplication#Products of sequences|Finite product]]
| {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Continued fraction|Finite continued fraction]]
| {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Variable (mathematics)|Variable]]
| {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Exponentiation| Integer exponent]]
| {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[nth root| Integer nth root]]
| {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Exponentiation| Rational exponent]]
| {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Factorial|Integer factorial]]
| {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Exponentiation| Irrational exponent]]
| {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Logarithm]]
| {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Trigonometric functions|Trigonometric function]]
| {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
|-
! [[Inverse trigonometric functions|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}}
|-
! [[Root of a polynomial]] that is not an [[algebraic solution]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}}
|-
! [[Gamma function|Gamma function and factorial of a non-integer]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}}
|-
! [[Bessel function]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}}
|-
! [[Special functions|Special function]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}}
|-
! [[Series (mathematics)|Infinite sum (series)]] (including [[power series]])
| {{no}} || {{no}} || {{no}} || {{no}} || Convergent only || {{yes}}
|-
! [[Infinite product]]
| {{no}} || {{no}} || {{no}} || {{no}} || Convergent only || {{yes}}
|-
! [[Continued fraction|Infinite continued fraction]]
| {{no}} || {{no}} || {{no}} || {{no}} || Convergent only || {{yes}}
|-
! [[Limit (mathematics)|Limit]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}}
|-
! [[Derivative]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}}
|-
! [[Integral]]
| {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}}
|-
|}<noinclude>
[[Category:Mathematics templates|{{PAGENAME}}]]
</noinclude>

Template:Mathematical expressions - Revision history

Indicwiki: 1 revision imported from :alpha:Template:Mathematical_expressions

Admin: 1 revision imported

alpha>Sarika: Created page with "The table below indicates the components that are commonly considered part of various types of mathematical expressions. With some exceptions, an expression can onl..."

wikipedia>Jochem van Hees: caps fix