bijective

(adjective)

both injective and surjective

Related Terms

  • vector field

Examples of bijective in the following topics:

  • Counting Rules and Techniques

    • Bijective proofs are utilized to demonstrate that two sets have the same number of elements.
    • A bijective proof is a proof technique that finds a bijective function $f: A \rightarrow B$ between two finite sets $A$ and $B$, which proves that they have the same number of elements, $|A| = |B|$.
    • A bijective function is one in which there is a one-to-one correspondence between the elements of two sets.
    • If $B$ is more easily countable, establishing a bijection from $A$ to $B$ solves the problem.
  • Line Integrals

    • where $r: [a, b] \to C$ is an arbitrary bijective parametrization of the curve $C$ such that $r(a)$ and $r(b)$ give the endpoints of $C$ and $a$.
    • where $\cdot$ is the dot product and $r: [a, b] \to C$ is a bijective parametrization of the curve $C$ such that $r(a)$ and $r(b)$ give the endpoints of $C$.
Subjects
  • Accounting
  • Algebra
  • Art History
  • Biology
  • Business
  • Calculus
  • Chemistry
  • Communications
  • Economics
  • Finance
  • Management
  • Marketing
  • Microbiology
  • Physics
  • Physiology
  • Political Science
  • Psychology
  • Sociology
  • Statistics
  • U.S. History
  • World History
  • Writing

Except where noted, content and user contributions on this site are licensed under CC BY-SA 4.0 with attribution required.