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
cumulative thresholds
Grammar usage guide and real-world examplesUSAGE SUMMARY
"cumulative thresholds" is a correct and usable phrase in written English.
You can use it to refer to a system which accumulates points, thresholds, or levels that must be reached or surpassed in order to reach a final goal. For example, "In order to pass the course, students must meet the cumulative thresholds established by the professor."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
aggregate limits
total accumulated limits
combined benchmarks
cumulative dose
overall accumulated standards
progressive boundaries
gradual ceilings
global thresholds
overall thresholds
consecutive thresholds
successive thresholds
cumulative criteria
simultaneous thresholds
cumulative tests
total thresholds
environmental thresholds
incremental thresholds
cumulative amounts
synthesis thresholds
combined thresholds
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
4 human-written examples
At the very least, changes that exceed cumulative thresholds should be approved by internal auditors.
News & Media
Obviously, higher cumulative thresholds and lower marginal thresholds tend to result in smaller HHI values.
Science
Hence, to check for the robustness of our results, we vary the marginal values with 3% and 5% and also consider cumulative thresholds of 40% and 80%.
Science
Considering the cumulative thresholds of 60%and80%0%, it is observable that increasing the marginal threshold from 1% to 3% has less effect the higher the cumulative threshold is.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
56 human-written examples
For those, the cumulative threshold is binding and they require excessive numbers of ZIP code areas to reach it.
Science
As by definition such thresholds are always arbitrary, we also look at variations of the cumulative threshold at 40% and 80% and use 3% and 5% as alternative marginal thresholds.
Science
For example, when applying the 80% cumulative threshold more than 5% of all hospitals systems need at least 256 ZIP code areas to reach this figure.
Science
Additionally to the ZIP codes that are identified by the cumulative threshold, all ZIP code areas are added to the market that account for at least y% of all patients treated by the HS (marginal threshold).
Science
For example, if this threshold is set at 1%, every ZIP code that is not yet covered under the cumulative threshold but exceeds the critical number 1% of the HS's patients is also added to the relevant market.
Science
Hence, the cumulative threshold appears to become increasingly binding; to reach the 80% threshold at least in some cases very large numbers of ZIP codes have to be included that account for very small portions, i.e. less than 5% or 3%, of the hospitals case volume.
Science
It may be hypothesised that there is a cumulative threshold of contact stress that must be exceeded by repeated episodes of edge-loading before resulting in significant localised excessive wear (edge-wear).
Science
Expert writing Tips
Best practice
When using "cumulative thresholds", ensure the context clearly indicates what is being accumulated (e.g. points, doses, stress) and what specific limits must be reached.
Common error
Avoid ambiguity by explicitly stating what quantity or metric the "cumulative thresholds" apply to. For instance, instead of saying "the cumulative threshold was exceeded", specify "the cumulative radiation dose threshold was exceeded".
Source & Trust
84%
Authority and reliability
4.3/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "cumulative thresholds" functions as a noun phrase, acting as a subject or object within a sentence. It designates a boundary or limit that is reached through the accumulation of incremental amounts, as demonstrated by Ludwig's examples.
Frequent in
Science
75%
News & Media
8%
Academia
8%
Less common in
Formal & Business
1%
Science
0%
News & Media
0%
Ludwig's WRAP-UP
The phrase "cumulative thresholds" is a grammatically sound and conceptually useful term, primarily employed in scientific, academic, and professional contexts. As Ludwig AI suggests, it effectively communicates the idea of reaching a limit through accumulation. While not overly common, its use is precise and impactful when describing systems that involve incremental additions toward a specific boundary. Remember to clearly define what is being accumulated to avoid ambiguity. Alternative phrases like "aggregate limits" or "combined benchmarks" can be used to add variety, but ensure they maintain the intended meaning within the given context. Ludwig's examples highlight the phrase's application in areas ranging from medical dosages to economic analyses, emphasizing its versatility in technical discussions.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
aggregate limits
Replaces "cumulative" with "aggregate", focusing on the combined total.
total accumulated limits
Uses both "total" and "accumulated" for emphasis.
combined benchmarks
Emphasizes the combined nature of the benchmarks that must be met.
overall accumulated standards
Focuses on the overall standards achieved through accumulation.
progressive boundaries
Highlights the step-by-step or progressive nature of the boundaries.
gradual ceilings
Highlights the gradual ascent to the ceiling.
stepwise goals
Describes goals achieved in distinct, incremental steps.
increasing hurdle rate
Focuses on a hurdle rate that increases over time or with each step.
accrued requirements
Emphasizes the requirements that have been accrued or accumulated.
escalating criteria
Highlights criteria that become more stringent or demanding over time.
FAQs
How do I use "cumulative thresholds" in a sentence?
You can use "cumulative thresholds" to describe situations where a certain level must be reached through accumulation. For example, "Changes exceeding "cumulative thresholds" should be approved by auditors."
What's a good alternative to "cumulative thresholds"?
Consider using alternatives like "aggregate limits", "total accumulated limits", or "combined benchmarks" depending on the context.
In what contexts are "cumulative thresholds" typically used?
"Cumulative thresholds" are often used in scientific, financial, and regulatory contexts to describe limits that are reached through incremental additions. You might see it when discussing dose limits in medicine or risk levels in finance.
What is the difference between "cumulative thresholds" and "individual thresholds"?
"Cumulative thresholds" refer to a limit reached by accumulating values over time or across different instances, while "individual thresholds" are specific limits for single events or data points. For example, a "cumulative dose" of radiation versus a maximum dose for a single exposure.
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
84%
Authority and reliability
4.3/5
Expert rating
Real-world application tested