Template:Functions

{{Sidebar

| name = Functions

| titlestyle = letter-spacing:0.0125em; background-color:#FFCC99

| title = Function

| image = {{math|x ↦ f (x)|size=250%}}

| headingstyle = font-size: 117%; letter-spacing: 0.0125em; font-weight: 500; border-top: 1px solid black; padding: 5px 0 3px

| heading1 = History of the function concept

| heading2 = Types by domain and codomain

| content1style = text-align: left; padding-left: 1.5em;

| content2 = {{flatlist|1=

• Boolean-valued function
• [[Ordered pair|

{{math|1=

𝔹

→ X

}}]]

• [[Boolean function|

{{math|1=

𝔹ⁿ

→ X

}}]]

• [[integer-valued function|

{{math|1=X

→ ℤ

}}]]

• [[sequence|

{{math|1=

ℤ

→ X

}}]]

• [[real-valued function|

{{math|1=X

→ ℝ

}}]]

• [[function of a real variable|

{{math|1=

ℝ

→ X

}}]]

• [[function of several real variables|

{{math|1=

ℝⁿ

→ X

}}]]

• [[complex-valued function|

{{math|1=X

→ ℂ

}}]]

• [[function of a complex variable|

{{math|1=

ℂ

→ X

}}]]

• [[Function of several complex variables|

{{math|1=

ℂⁿ

→ X

}}]]

}}

| heading3 = Classes/properties 

| content3 = {{flatlist|

• Constant
• Identity
• Linear
• Polynomial
• Rational
• Algebraic
• Analytic
• Smooth
• Continuous
• Measurable
• Injective
• Surjective
• Bijective

}}

| heading4 =  Constructions

| content4 = {{flatlist|

• Restriction
• Composition
• λ
• Inverse

}}

| heading5 =  Generalizations  

| content5 = {{flatlist|

• Relation (Binary relation)
• Set-valued
• Multivalued
• Partial
• Implicit
• Space
• Higher-order
• Morphism
• Functor

}}

| heading6 =  List of specific functions

| content6 =

}}