extending the iteration

USAGE SUMMARY

The phrase "extending the iteration" is correct and usable in written English.
It can be used in contexts related to programming, mathematics, or processes where a cycle or repetition is being prolonged or continued. Example: "Due to unforeseen circumstances, we will be extending the iteration of the project to ensure all aspects are thoroughly addressed."

✓ Grammatically correct

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Formal & Business

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Very recently, Qin et al. [6] extend the iteration process (1.7) from a single relatively nonexpansive mapping to two relatively quasi-nonexpansive mappings: (1.8).

Fixed Point Theory and Applications

The purpose of this paper is to extend the iteration scheme of multivalued nonexpansive mappings from a Banach space to a hyperbolic space by proving Δ-convergence theorems for two multivalued nonexpansive mappings in terms of mixed type iteration processes to approximate a common fixed point of two multivalued nonexpansive mappings in hyperbolic spaces.

Fixed Point Theory and Applications

They proved in [12] that the sequence { x n } converges weakly to a common fixed point of T n, n = 1, 2, …, N. Later on Osilike and Akuchu [13], and Chen et al. [14] extended the iteration process (1.3) to a finite family of asymptotically pseudo-contractive mapping and a finite family of continuous pseudo-contractive self-mapping, respectively.

Fixed Point Theory and Applications

This chapter extends the final iteration of the application developed in a previous chapter so that the library, its borrowers, and publications (the domain model) persist in a database.

Groovy Programming An Introduction for Java Developers

Applying the product rules, we extend the variational iteration method from the set of real numbers ℝ to the time scales q Z ¯.

Advances in Difference Equations

In this section, we extend the variational iteration method to find an approximate solution of nonlinear initial value problems on the time scale q N ¯.

Advances in Difference Equations

To extend the variational iteration method, we first display a production rule [9] of two q-polynomials at 0 which will be used to derive an approximate solution in the following discussion.

Advances in Difference Equations

Thus, the messages passed in the factor graph are formalized in Algorithm 1, in which in order to utilize the iterative structure of LDPC decoding, we extend the internal iterations in decoder to the global ones described above, namely one internal iteration per global iteration.

EURASIP Journal on Wireless Communications and Networking

Recently, new multi level iteration schemes have been proposed, extending the well known idea of real time iterations.

IFAC Proceedings Volumes

Take F = G = U (0,1) for the sake of comparison, the iteration succeeded in extending the range to - 1 3 ≤ ρ ≤ 0.434 from the previous - 1 3 ≤ ρ ≤ 1 3 of the plain FGM.

Journal of Statistical Distributions and Applications

Soliman extended the variational iterations method to solve the KdVB equations [10].

Advances in Difference Equations

Expert writing Tips

Best practice

When using "extending the iteration", ensure the context clearly defines what 'iteration' refers to. Specify the parameters or goals being prolonged.

Common error

Avoid using "extending the iteration" without clearly establishing what constitutes the 'iteration'. Without context, the phrase lacks specific meaning.

Linguistic Context

The phrase "extending the iteration" functions as a gerund phrase, acting as a noun. It describes the action of prolonging or continuing a repetitive process or cycle. While Ludwig AI confirms its grammatical correctness, it's important to define what "iteration" refers to within the specific context.

Expression frequency: Missing

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Ludwig's WRAP-UP

In summary, "extending the iteration" is a grammatically sound gerund phrase used to describe prolonging a repetitive process. Ludwig AI confirms its correctness. However, its occurrence is limited, making it crucial to provide clear context for 'iteration' to avoid ambiguity. Alternatives like "prolonging the repetition" or "lengthening the process" can be considered for varied expression. While grammatically valid, its infrequent use suggests careful consideration of clarity and context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

prolonging the repetition

Focuses on lengthening the repetitive process itself.

expanding the cycle

Emphasizes the cyclical nature of the process being extended.

lengthening the process

Highlights the act of making the process longer.

continuing the loop

Specifically refers to the continuation of a looping sequence.

perpetuating the sequence

Implies making the sequence ongoing and indefinite.

broadening the scope of the iteration

Implies making the iteration more comprehensive.

augmenting the iterative process

Focuses on adding to or improving the iteration.

strengthening the recurrence

Emphasizes the repeated nature of the iteration and reinforcing it.

deepening the iterative approach

Highlights going further into the iterative method.

reinforcing the cyclical nature

Focuses on supporting the cyclical nature of something.

FAQs

How can I use "extending the iteration" in a sentence?

You can use "extending the iteration" to describe prolonging a repetitive process, such as in software development or mathematical calculations. For example, "Due to new requirements, we are /s/extending+the+iteration".

What are some alternatives to "extending the iteration"?

Some alternatives include "prolonging the repetition", "continuing the loop", or "lengthening the process", depending on the specific context.

Is it grammatically correct to say "extending the iteration"?

Yes, "extending the iteration" is grammatically correct as a gerund phrase, though its frequency in common usage may be relatively low.

How does "extending the iteration" differ from "repeating the iteration"?

"Extending the iteration" implies prolonging the current cycle, while "repeating the iteration" suggests starting a new cycle from the beginning.