Category:Roots

This category contains results about Roots.
Definitions specific to this category can be found in Definitions/Roots.

• Analysis:
  • Root of a number: If $y^m = x$ then $x = \sqrt [m] y$, and $x$ is the $m$th root of $y$.
  • Root of an equation: The roots of an equation $E$ are the values of the variables for which $E$ is true.
  • Root of a mapping (or function): The roots of a mapping $f$ are the values of $x$ for which $\map f x = 0$.
  • Root of a polynomial: the roots of a polynomial $f$ are the values of $x$ for which $\map f x = 0$.

• Graph Theory
  • Root Node: A rooted tree is a tree which has a particular node distinguished from the others and called the root node, or just root.

• Mathematical Logic
  • Root of a propositional tableau: The root of a propositional tableau $T$ is its hypothesis set $\mathbf H$, which is considered to be attached to the root node of $T$.