RECURSIVE DEFINITION Meaning and
Definition
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A recursive definition is a method of defining a concept or mathematical object in terms of itself, either directly or indirectly. It involves breaking down a complex idea into simpler parts and repeatedly applying the same definition to those parts. Through recursion, the definition becomes self-referential, allowing for the creation of complex structures from simpler ones.
In mathematics, a recursive definition is particularly useful when dealing with objects that have a natural recursive structure. For example, the Fibonacci sequence can be defined recursively by stating that the first two terms are 0 and 1, and that each subsequent term is the sum of the two previous terms. This recursive definition allows for easy computation of the sequence and provides a concise description of its underlying structure.
Recursive definitions are also employed in computer science and programming, where functions can call themselves to solve a task by breaking it down into smaller subtasks. This technique, known as recursion, is often used for solving problems that exhibit a recursive nature, such as searching tree structures or calculating factorials.
Overall, a recursive definition is a powerful and flexible tool in mathematics and computer science, facilitating the understanding and manipulation of complex concepts by reducing them to simpler components.
Common Misspellings for RECURSIVE DEFINITION
- eecursive definition
- decursive definition
- fecursive definition
- tecursive definition
- 5ecursive definition
- 4ecursive definition
- rwcursive definition
- rscursive definition
- rdcursive definition
- rrcursive definition
- r4cursive definition
- r3cursive definition
- rexursive definition
- revursive definition
- refursive definition
- redursive definition
- recyrsive definition
- rechrsive definition
- recjrsive definition
Etymology of RECURSIVE DEFINITION
The word "recursive" originates from the Latin term "recurrere", which means to run back or to run again. It is derived from the combination of the prefix "re-" (meaning back or again) and the verb "currere" (meaning to run).
The word "definition" comes from the Latin term "definitio", which is derived from the verb "definire" meaning "to limit" or "to determine". It combines the prefix "de-" (indicating separation or completion) and the verb "finire" (meaning to set bounds or complete).
Combining these two terms, "recursive definition" implies a definition that repeatedly refers back to itself, either directly or indirectly. It is a definition in which the term being defined appears within its own definition.
Similar spelling word for RECURSIVE DEFINITION
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