recursive

Writing

(adjective)

Pertaining to a procedure that can be used repeatedly. In composition, a writer may return to the tasks of a previous stage once informed by the activities of a current stage.

Related Terms

  • writing process
  • expository
  • expository writing
Psychology

(adjective)

Used to describe a language with units (such as sentences or phrases) that can contain themselves (such as sentences within sentences or phrases within phrases).

Related Terms

  • dead language
  • generative
  • recursion
  • displacement

Examples of recursive 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.
    • A geometric sequence follows the formula $a_n=r\cdot a_{n-1}.$ This is another example of a recursive formula.
    • Using this equation, the recursive equation for this geometric sequence is: $a_n=2 \cdot a_{n-1}.$
    • 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 $a_n=a_{n-1}+3, a_1=10.$
    • The recursive definition is therefore $a_n=a_{n-1}-3, a_1=25$.
    • Therefore the recursive definition is $a_n=3a_{n-1}, a_1=2$.
    • Therefore the recursive formula is $a_n=\frac13\cdot a_{n-1}, a_1=162$.
  • 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).
  • Geometric Sequences

    • Such a geometric sequence also follows the recursive relation $a_n=ra_{n-1}$ for every integer $n\ge 1.$
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