a maximum at which

USAGE SUMMARY

The phrase "a maximum at which" is correct and usable in written English.
It can be used when discussing a specific point or level that represents the highest value in a given context, such as in mathematics, statistics, or other analytical discussions. Example: "The study found a maximum at which the temperature could be maintained without affecting the chemical reaction."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

With further increasing concentrations, adsorption eventually reaches a maximum at which mainly admicelles are present.

Geochemical Transactions

The procedure is repeated to find the next descriptor to form the best pair, triplet etc., iteratively expanding the model by one descriptor until q2 reaches a maximum, at which point the final model is obtained.

Chemistry Central Journal

As before, the T2PInflow values show a predictable trend of first gradually increasing to reach a maximum, at which point the sector RoT exceeds the threshold, and then slowly decreasing to let the RoT come down, before increasing again.

EURASIP Journal on Wireless Communications and Networking

But even the ever-increasing loans do have to reach a maximum at which point the incentive to default is great and working backwards, the argument falls apart.

Huffington Post

A death event corresponds to t passing the value of a maximum, at which time the sublevel set merges two intervals into one or, at the last and global maximum, it closes up to form the complete circle.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Thermal stability of free rBGLa exhibited a maximum at 25 °C, which was 57.8% of the original activity.

AMB Express

In my experience, I found that 1-NPN in buffer produces a peak with a maximum at 480, which is shifted in the presence of a binding protein to values generally between 400 and 410 nm, in some cases even below 400.

F1000Research

For ceria-zirconia particles under tight contact conditions the profile is characterized by one single signal in the range of temperatures of 300 450 °C with a maximum at 380 °C, which is in agreement with previous investigations;[ 2b, 4, 6] prolonged mixing under tight conditions does not modify Tm values.

Angewandte Chemie - International Edition

Because the growth of mesophilic fungi can occur between 0 and 50°C with optima from 15 to 40°C, a temperature of 4°C may represent a conservative minimum at which mesophilic fungi grow and a temperature of 40°C may represent a conservative maximum at which mesophilic fungi grow.

BMC Ecology

During a drought, the drums can hold out for a month, maximum, at which point only the municipal supply remains viable.

Huffington Post

where D = ⋃ r ∈ ] β ρ, ρ δ ρ [ Γ ( r ), such that J | S ρ ˜ has either two global maxima or a global maximum at which J ′ vanishes.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using the phrase "a maximum at which", ensure the context clearly defines what is being maximized and what occurs at that point. For example: "The temperature reached a maximum at which the reaction rate began to decrease."

Common error

Avoid using "a maximum at which" vaguely. Be specific about what reaches its peak and what the consequence is. Instead of saying "The system reached a maximum at which things changed", specify "The system pressure reached a maximum at which the valve automatically opened".

Linguistic Context

The phrase "a maximum at which" functions as an adverbial phrase introducing a relative clause that specifies the condition or point when a maximum is reached. Ludwig AI confirms that this phrase is usable in written English.

Expression frequency: Rare

Frequent in

Science

80%

News & Media

20%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "a maximum at which" is a grammatically correct and usable construction that describes a point where something reaches its highest value and a specific event or condition occurs as a result. Ludwig AI indicates that the phrase is correct and appropriate for use in written English. It is most frequently found in scientific and technical contexts, reflecting its formal register. While not exceedingly common, the phrase serves a precise communicative purpose in specifying limits and thresholds. When using the phrase, ensure the context clearly defines what reaches its peak and what the consequence is. Related phrases include "a peak beyond which" and "a threshold where", offering alternative ways to express similar concepts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a peak beyond which

Changes the focus to exceeding a certain peak, implying a boundary.

a ceiling beyond which

Emphasizes an upper limit that cannot be surpassed.

a threshold where

Highlights a critical point or level where something changes significantly.

a culminating point when

Focuses on the final or highest point in a process or series of events.

an apex where

Uses a more formal term for the highest point.

the uppermost limit when

Explicitly states the highest possible boundary.

a saturation point after which

Implies a condition where no more can be added or tolerated.

a critical juncture when

Emphasizes a turning point or crucial moment.

a high point following which

Uses simpler terms to describe reaching a maximum and what comes after.

a culmination after which

Focuses on the end result or final stage.

FAQs

How can I use "a maximum at which" in a sentence?

This phrase is used to describe a point where something reaches its highest value, and something else occurs as a result. For example, "The voltage reached "a maximum at which" the circuit breaker tripped".

What are some alternatives to "a maximum at which"?

You can use phrases like "a peak beyond which", "a threshold where", or "an apex where" depending on the specific context.

Is it grammatically correct to say "a maximum at which"?

Yes, the phrase is grammatically correct. It is often used in formal writing, particularly in scientific and technical contexts, to describe a specific point or limit.

In what kind of writing is "a maximum at which" most appropriate?

This phrase is most appropriate in formal and technical writing, such as scientific reports, research papers, or technical manuals, where precision is important.