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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
point below which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "point below which" is correct and usable in written English.
It can be used to refer to a specific threshold or limit that is lower than a certain value or standard. Example: "The temperature must not drop below the point below which the equipment will malfunction."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(1)
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
27 human-written examples
It is also not a point below which processes can operate safely at any temperature.
The discrimination threshold score below which primer pairs are classified as dimer forming and above or equal to which primer pairs are classified as dimer-free is set to the point below which the first dimer-free isdimer setre = −2.79).
Science & Research
Betty Miller: her books are so badly written, but two were very evocative.' But there was a point below which Carmen and her colleagues would not go: they referred to this as 'the Whipple line', after Dorothy Whipple, a writer of popular fiction in the Thirties and Forties.
News & Media
The deviation point, below which an inverse power law is no longer valid, is marked by Δr c.
Science
But even for those like Saudi Arabia that can manage at current prices, there comes a point below which even they will start to get uncomfortable.
News & Media
A dotted line is drawn at 20 mV (Figs. 10, 12) to show the point below which the colloidal system is unstable due to flocculation.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
33 human-written examples
The purchasing managers' index fell below what that trade group termed the break-even point, the level below which the drop in manufacturing would hurt the economy as a whole, for the first time since 1991.
News & Media
Experienced ICFP authors may want to pay special attention to the points below, which are new this year.
Academia
As seen from Figure 3, there exists a maximum permissible price-point, below which, acquiring external data is feasible.
Science
At 222, Oklahoma is now 1 point above the national average in fourth-grade reading -- instead of several points below, which it used to be.
News & Media
The cut-off points, below which low muscle mass is defined, have been recently established separately for different countries' populations, as their inhabitants are expected to have different body compositions, due to their ethnic characteristics, life styles, diets, habits, and so forth [ 14, 15].
Expert writing Tips
Best practice
When defining a "point below which", ensure the units of measurement are clearly specified (e.g., temperature, pressure, concentration) to avoid ambiguity.
Common error
Avoid assuming that values below the "point below which" directly cause a specific outcome. Instead, clearly state the relationship and any other contributing factors.
Source & Trust
83%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "point below which" functions as a prepositional phrase introducing a subordinate clause that specifies a threshold or limit. It's commonly used to define a condition where a change in behavior or state occurs. Ludwig AI supports this usage.
Frequent in
Science
73%
News & Media
19%
Wiki
8%
Less common in
Formal & Business
0%
Encyclopedias
0%
Academia
0%
Ludwig's WRAP-UP
In summary, the phrase "point below which" is a grammatically correct and commonly used prepositional phrase that indicates a threshold or limit. Predominantly found in scientific and technical contexts, it serves to define a critical boundary where a change in state or behavior occurs. Ludwig AI confirms its proper usage, highlighting its effectiveness in establishing precise conditions. Related phrases include "threshold under which" and "limit beneath which". When using this phrase, specify the units of measurement to avoid ambiguity, and avoid assuming direct causation. While predominantly academic, it is important to note it also shows up in News and Media.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
Threshold under which
Replaces "point" with "threshold", emphasizing the limit concept.
Limit beneath which
Substitutes "point" with "limit" and "below" with "beneath", altering the specific terms used.
Level under which
Emphasizes a specific level instead of a general point.
Value below which
Focuses on a numerical or measurable value as the determining factor.
Criterion under which
Highlights a rule or standard that must be met.
Boundary below which
Uses "boundary" to denote a clearer demarcation.
Minimum below which
Specifies the absolute lowest acceptable value.
Cutoff under which
Suggests an abrupt or decisive limit.
The stage at which
Focuses on the progression of events rather than a fixed threshold.
Critical juncture below which
Adds emphasis to the importance or criticality of the boundary
FAQs
How to use "point below which" in a sentence?
The phrase "point below which" is used to indicate a threshold or limit. For example, "There's a critical temperature, the point below which the reaction will not occur".
What can I say instead of "point below which"?
You can use alternatives like "threshold under which", "limit beneath which", or "level under which" depending on the context.
Which is correct, "point below which" or "level under which"?
Both "point below which" and "level under which" are grammatically correct. The choice depends on the specific nuance you want to convey. "Point" suggests a specific instance, while "level" implies a continuous range.
What's the difference between "point below which" and "critical point"?
"Point below which" describes a threshold. A "critical point" is more broad. The "critical point" is a condition at which sudden changes occur.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.1/5
Expert rating
Real-world application tested