Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
accumulated phases
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "accumulated phases" is correct and usable in written English.
It can be used to describe stages or steps that have been gathered or built up over time in a process or project. Example: "The project has gone through several accumulated phases, each contributing to the final outcome."
✓ Grammatically correct
Science
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
The addition of CPT in PHRF1-knockdown and -overexpressing cells did not result in accumulated phases in cell cycle progression.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
Predictions of the accumulated phase are then compared to measurements of the accumulated phase from the transfer mobilities of a number of beam and plate structures.
In this paper, these accumulated phase characteristics are numerically and experimentally investigated.
They obtained a significant reduction in the numerical anisotropy, dispersion error and the accumulated phase errors over a broad bandwidth.
The physical essence of the wideband is well explained by the accumulated phase difference based on modal method.
It is also shown that the location of the excitation may affect the measured value of the accumulated phase.
It is shown that the resulting accumulated phase curve lies between the direct field phase limit and the reverberant field phase limit.
The logic is implemented to measure either leading or lagging phase and also to accumulate the total phase difference throughout the shot duration with the maximum value of accumulated phase of 5760 (16 cycles × 360°) degree and a resolution of 3.6 °.
Previous research into the phase of transfer functions from beam and plate-type structures has shown that the accumulated phase has different characteristics depending on whether the vibrational field is direct, diffuse, or between these two extremes.
Experimental results also show that the accumulated phase in a vibrational wave field between that of a direct field and a diffuse field is related to the source receiver separation distance and to the damping in the structure.
Since there is no big frequency offset difference between stations after the coarse frequency offset synchronization, the inter-carrier-interference (ICI) term caused by the residual frequency offset is ignored for the simplicity in (1) whereas the accumulated phase rotation term caused by frequency offset is still included.
Expert writing Tips
Best practice
When describing processes or projects, use "accumulated phases" to emphasize that progress has been made in distinct, built-up stages. It's especially useful in technical or scientific writing to describe how different steps contribute to an outcome.
Common error
While technically correct, "accumulated phases" can sound overly formal in casual conversation or informal writing. Opt for simpler terms like "stages" or "steps" for better clarity and tone.
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "accumulated phases" functions primarily as a noun phrase, often used to describe the progression of a process or project through distinct stages that build upon each other. Ludwig AI examples show it used in scientific contexts to describe cell cycle progression and troposphere dynamics.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Academia
0%
Ludwig's WRAP-UP
In summary, "accumulated phases" is a noun phrase best suited for formal and scientific writing. According to Ludwig AI, it describes processes that progress through distinct, built-up stages. While grammatically correct, it’s relatively rare and primarily appears in scientific contexts. For more casual writing, consider alternatives like "collected stages" or simply "stages". Be mindful of the register to ensure clarity and appropriateness in your communication.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
accrued phases
Similar to "accumulated" but emphasizes the gradual addition of phases.
collected stages
Changes the verb to "collected", emphasizing the gathering aspect rather than the incremental growth.
gathered stages
Highlights the collection or grouping of distinct stages.
aggregated stages
Replaces "accumulated" with "aggregated", focusing on the coming together of stages.
built-up phases
Uses "built-up" to highlight the construction or development of phases over time.
increased stages
Emphasizes the growing number of phases.
progressed phases
Highlights the advancement from one phase to another, accumulating as they go.
expanded phases
Suggests phases that have grown in scope or duration.
grown stages
Simple substitution emphasizing the development of each stage, which eventually have accumulated.
piled-up phases
Uses a more informal term to suggest phases that have been added on top of each other.
FAQs
How can I use "accumulated phases" in a sentence?
You can use "accumulated phases" to describe a process that has progressed through distinct stages, such as "The research project went through several "accumulated phases" before reaching a conclusion."
What's a more common alternative to "accumulated phases"?
More common alternatives include "collected stages", "progressed phases", or simply "stages" depending on the context.
Is "accumulated phases" suitable for all types of writing?
While grammatically correct, "accumulated phases" is better suited for formal or technical writing. In casual contexts, simpler terms like "stages" or "steps" might be more appropriate.
What is the difference between "accumulated phases" and "aggregated stages"?
"Accumulated phases" emphasizes the gradual build-up of distinct stages, whereas "aggregated stages" focuses on the coming together of these stages into a whole. The best choice depends on whether you want to highlight the individual steps or their combination.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested