recursion

(noun)

the act of defining an object (usually a function) in terms of that object itself

Related Terms

  • set

Examples of recursion in the following topics:

  • Recursive Definitions

    • This definition is valid because, for all $n$, the recursion eventually reaches the base case of $0$.
    • Depending on how the sequence is being used, either the recursive definition or the non-recursive one might be more useful.
    • Using this equation, the recursive equation for this geometric sequence is:
    • Recursive equations are extremely powerful.
    • Use a recursive formula to find specific terms of a sequence
  • Introduction to Human Language

    • Human language is unique because it is generative, recursive, and has displacement.
    • Specifically, human language is unique on the planet because it has the qualities of generativity, recursion, and displacement.
    • Human language is recursive.
    • Obviously, the recursive abilities of language are constrained by the limits of time and memory.
    • Human language is also modality-independent—that is, it is possible to use the features of displacement, generativity, and recursion across multiple modes.
  • Introduction to Practical Procedures

    • To recursively elaborate previously learned procedural and cultural mathematical competencies, each emphases section will have the 5th emphasis on the Practical Procedures of this level of mathematics.
  • Sequences

    • Sequences whose elements are related to the previous elements in a straightforward way are often specified using recursion.
    • To specify a sequence by recursion requires a rule to construct each consecutive element in terms of the ones before it.
    • The Fibonacci sequence can be defined using a recursive rule along with two initial elements.
  • Introduction to Sequences

    • These are called recursive sequences.
    • The recursive definition is therefore
    • The recursive definition is therefore
    • Therefore the recursive definition is
    • Therefore the recursive formula is
  • Blending Content with Pedagogy

    • Recursively elaborate mathematics.
  • Describing Qualitative Data

    • Alternatives to coding include recursive abstraction and mechanical techniques.
    • Recursive abstraction involves the summarizing of datasets.
  • Speed of Innovation

    • Phases can be iterative and recursive (meaning that they do not proceed linearly from one to the next; rather, earlier phases can be returned to for further improvement as needed).
  • Types of Innovation

    • Phases can be iterative and recursive (meaning that they do not proceed linearly from one to the next; rather, earlier phases can be returned to for further improvement as needed).
  • Theoretical Probability

    • It can also be obtained recursively through the Fibonacci recurrence relation.
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