Restriction (mathematics) | StudentB Wikipedia Search

Back اقتصار (رياضيات) Arabic Restricció (matemàtiques) Catalan Restrikce zobrazení Czech Einschränkung German Restricción (matemáticas) Spanish محدودسازی (ریاضیات) Persian Rajoittuma Finnish Restriction (mathématiques) French Restrizione di una funzione Italian 制限 (数学) Japanese

The function $x^{2}$ with domain $\mathbb {R}$ does not have an inverse function. If we restrict $x^{2}$ to the non-negative real numbers, then it does have an inverse function, known as the square root of $x.$

Function
$x \mapsto f (x)$
History of the function concept
Types by domain and codomain
$X \to 𝔹$ $𝔹 \to X$ $𝔹 n \to X$ $X \to ℤ$ $ℤ \to X$ $X \to ℝ$ $ℝ \to X$ $ℝ n \to X$ $X \to ℂ$ $ℂ \to X$ $ℂ n \to X$
Classes/properties
Constant Identity Linear Polynomial Rational Algebraic Analytic Smooth Continuous Measurable Injective Surjective Bijective
Constructions
Restriction Composition λ Inverse
Generalizations
Relation (Binary relation) Set-valued Multivalued Partial Implicit Space Higher-order Morphism Functor
List of specific functions
v t e

In mathematics, the restriction of a function $f$ is a new function, denoted $f\vert _{A}$ or $f{\upharpoonright _{A}},$ obtained by choosing a smaller domain $A$ for the original function $f.$ The function $f$ is then said to extend $f\vert _{A}.$

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