recursive iteration

USAGE SUMMARY

The phrase "recursive iteration" is correct and usable in written English. You can use it in contexts related to programming, algorithms, or mathematical processes that involve repeating a process within itself. For example, "The algorithm employs recursive iteration to solve the problem efficiently." Alternative expressions include "recursive loop" and "iterative recursion."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

A more sophisticated approach to determine a pile's bearing capacity is obtained by fitting a numerical one-dimensional model to the measurements in recursive iteration.

Applied Adhesion Science

The series response structure is explored for parameter estimation of polynomial form non-linearity. First and higher order frequency response functions are extracted from the measured response harmonic amplitudes through recursive iteration.

Journal of Sound and Vibration

As an example, consider the filter graph, the code to create it and the recursive iteration inside ConnectFilters method for the filter graph fg as shown in Figures11,12 and Listing Listing 27 Filter graph code builder for Figure11, respectively.

EURASIP Journal on Embedded Systems

To find the distribution parameters that provide the best fit to GC-TRFLP data from actual and artificial communities, a SAD was simulated for a given distribution as described above and the parameters of the distribution were optimized by recursive iteration.

Plosone

The recursive iteration of the cross subgraph mapping returns a new term.

BioMed Research International

Clojure is a Lisp variant that encourages a functional style of programming by providing immutable data structures, functions as first-class objects and uses recursive iteration as opposed to state-based looping (Hickey, 2008).

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Recursive iterations were performed with a multivariate Cox model.

British Journal of Cancer

By employing large computing capacity the Mandelbrot Set is generated by successive recursive iterations of a fixed complex function applied to itself such that it proliferates to infinity.

Communicative and Integrative Biology

A syntactic chain is a 4-phase series of up to 25 elements, each phase containing recursive iterations of its characteristic element.

BMC Biology

After two recursive iterations the number of false positives was reduced substantially and the resultant subnetworks were considerably smaller ranging from 11 to 36 nodes.

Bioinformatics

In this entry, we provide an account of the class of recursive functions, with particular emphasis on six basic kinds of recursion: iteration, primitive recursion, primitive recursion with parameters, course-of-value recursion, and double recursion.

SEP

Expert writing Tips

Best practice

When describing algorithms, clarify the base case for your "recursive iteration" to prevent infinite loops and ensure termination.

Common error

Avoid infinite loops by ensuring that your "recursive iteration" has a well-defined base case, a condition that stops the recursion. Without it, the process will continue indefinitely.

Linguistic Context

The phrase "recursive iteration" functions as a noun phrase describing a process or technique. It refers to the repeated application of a procedure where each step builds upon the previous one, characteristic of recursive algorithms, as shown in Ludwig's examples.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "recursive iteration" is a grammatically sound noun phrase primarily used in scientific and technical contexts to describe the process of repetitive self-reference in algorithms. As highlighted by Ludwig, it is essential to define a base case to prevent infinite loops. Although less common than simple iteration, its correct application is crucial in certain problem-solving scenarios. Common errors include overlooking the base case. Alternatives, such as "iterative recursion", offer slight variations in emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

iterative recursion

Reverses the order of the words, slightly changing the emphasis but retaining the core meaning.

iterative recursion process

Adds "process" for emphasis, highlighting the procedural nature of the recursive action.

recursive looping

Replaces "iteration" with "looping", a more common term in programming contexts.

iterative recursive method

Uses "method" instead of "iteration", suggesting a structured approach.

repeated recursion

Emphasizes the repetition aspect of the recursive process.

cyclical recursion

Highlights the cyclical nature inherent in iterative processes.

self-referential iteration

Focuses on the self-referential aspect of recursion, emphasizing how it calls itself.

nested iterative process

Highlights the nesting aspect, indicating iterations within iterations.

recursive repetition

Emphasizes the repetitive nature of the recursive process.

serial recursive execution

Highlights the sequential execution within the recursive calls.

FAQs

How does "recursive iteration" differ from simple iteration?

"Recursive iteration" involves a function calling itself repeatedly, whereas simple iteration uses loops (like 'for' or 'while' loops) to repeat a block of code. Recursive iteration is useful for problems that can be broken down into smaller, self-similar subproblems.

When is it appropriate to use "recursive iteration"?

Use "recursive iteration" when a problem can be naturally defined in terms of smaller instances of itself. Examples include traversing tree structures, calculating factorials, and certain search algorithms. However, be mindful of potential stack overflow issues with deep recursion.

What are some alternatives to "recursive iteration"?

Alternatives include using iterative loops, such as a 'for' or 'while' loop, or using functional programming techniques like "map reduce" depending on the context and programming paradigm.

What are the potential drawbacks of using "recursive iteration"?

Potential drawbacks include increased memory usage due to function call overhead and the risk of stack overflow errors if the recursion depth becomes too large. Iterative solutions are often more memory-efficient.