at each iteration

USAGE SUMMARY

"at each iteration" is correct and usable in written English.
You can use it to refer to the process of repeatedly performing a task, typically as part of a larger process. For example, "The algorithm ran through 500 iterations, optimizing its results at each iteration."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

During the iterative process, the system performs at each iteration, two stages.

Progress in Nuclear Energy

Several landscape metrics are calculated at each iteration.

Ecological Modelling

To do this, we performed a hypergeometric test (P < 0.05) at each iteration of species removal.

Nature

at each iteration until all data points are within this range.

Harvard University

The GCLP algorithm computes a mapping by using an adaptive optimization objective at each iteration.

University of California, Berkeley

At each iteration, we expand each vein along the center of mass of nearby auxin-sources.

Stanford University

This ensures we continue to shrink the interval by a constant fraction at each iteration.

Stanford University

At each iteration, we need to solve one QP subproblem only.

Journal of Computational and Applied Mathematics

At each iteration step two auxiliary mixed well-posed boundary value problems are solved.

Applied Mathematics and Computation

Parallelization occurs at each iteration step of the memetic algorithm without affecting its searching efficiency.

Computer Physics Communications

The nested approach is used, i.e., equilibrium is solved at each iteration.

Computer Methods in Applied Mechanics and Engineering

Expert writing Tips

Best practice

When describing iterative processes, ensure the context clearly defines what changes or is evaluated "at each iteration" for maximum clarity.

Common error

Avoid using "at each iteration" without specifying what aspect is being considered or modified. For example, instead of saying 'Improvements were made at each iteration', specify 'The algorithm's parameters were refined at each iteration'.

Linguistic Context

The phrase "at each iteration" functions as an adverbial phrase, modifying a verb or clause to specify when something occurs relative to a repetitive process. As supported by Ludwig, this phrase indicates that a particular action, evaluation, or modification takes place during every cycle of an iterative process.

Expression frequency: Very common

Frequent in

Science

65%

Academia

25%

News & Media

5%

Less common in

Formal & Business

3%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, "at each iteration" is a common and grammatically sound phrase used to denote actions or evaluations occurring during every cycle of a repetitive process. Ludwig confirms its correctness and usability. Predominantly found in scientific and academic writing, this phrase provides clarity and precision, enhancing detailed explanations. For optimal usage, ensure the action or element being considered "at each iteration" is clearly specified. While variations like "in each iteration" or "for each iteration" exist, the core meaning remains consistent. By avoiding vagueness and choosing contextually fitting alternatives, you can effectively communicate iterative processes.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in every iteration

Replaces 'at' with 'in', changing the prepositional emphasis while maintaining the meaning.

for each iteration

Substitutes 'at' with 'for', highlighting the duration or purpose related to each iteration.

during each iteration

Uses 'during' to specify that something happens within the timeframe of each iteration.

with every iteration

Emphasizes the continuous progression or accumulation of changes across iterations.

on each iteration

Employs 'on' to suggest a specific point or action occurring during the iteration.

at every step

Replaces 'iteration' with 'step', broadening the application to any sequential process.

in each cycle

Substitutes 'iteration' with 'cycle', fitting contexts where the process is cyclical.

with each repetition

Uses 'repetition' instead of 'iteration', suitable when the process is a simple repeat.

on every round

Replaces 'iteration' with 'round', typically used in game-like or competitive contexts.

at each stage

Replaces 'iteration' with 'stage', emphasizing distinct phases within a larger process.

FAQs

How can I use "at each iteration" in a sentence?

Use "at each iteration" to specify an action or evaluation that happens during every repetition of a process. For example, "The model's accuracy was assessed "at each iteration" to ensure convergence."

What is a good alternative to "at each iteration"?

Depending on the context, you could use phrases like "in every iteration", "for each iteration", or "during each iteration" to convey a similar meaning. Each alternative subtly shifts the emphasis of the sentence.

Is there a difference between "at each iteration" and "in each iteration"?

While both phrases are similar, "at each iteration" often implies a specific action or evaluation occurring during that iteration, whereas "in each iteration" suggests something is present or contained within each iteration.

When is it best to use "at each iteration" versus "with each iteration"?

"At each iteration" is suitable when detailing specific steps or measurements taken during the iterative process. "With each iteration", on the other hand, is best when emphasizing the incremental changes or cumulative effects that occur as the process advances. For example, "The image quality improved "with each iteration"" emphasizes the gradual improvement.