minimum and final

USAGE SUMMARY

The phrase "minimum and final" is correct and usable in written English.
It can be used in contexts where you want to specify the least amount or degree of something that is also the last or conclusive. Example: "Please submit your minimum and final offer by the end of the week."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Table2 shows the overall penalty, P, together with the minimum and final UUR values, for the trajectory of the different methods.

EURASIP Journal on Wireless Communications and Networking

The properties were expressed as the starting gel point temperature, peak viscosity (maximum viscosity), breakdown viscosity, (the difference between peak and minimum viscosity), and setback viscosity (the difference between minimum and final viscosity).

Rice

The mean, minimum, and final CO values were higher in both LIR-managed groups than in the practitioners group, and the coefficient of variance was lower (Table 4 and Figure 2).

Critical Care

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Patients whose entry nursing assessments, other than pain, did not meet minimum standards had significantly higher in-hospital mortality than patients meeting minimums; and final nursing assessments before discharge had large OR for postdischarge mortality.

BMJ Open

The obtained results from finite element method (tube drawing force, the minimum and maximum final thickness of tube) were compared with the experiments performed in the designed and manufactured machine and acceptable agreement was observed.

Journal of Materials Processing Technology

Results demonstrated that there is an optimal packing density about 0.804 and a little lower than maximum packing density of 0.807 with minimum static segregation and final plastic settlement.

Construction and Building Materials

Implementation of the MRS with the minimum necessary peak and final PEEP values suggested by our analysis produced the results shown in Figure  10.

Critical Care

The need for machining of the components is reduced to a minimum and welding during final assembly is reduced substantially compared to conventional practice.

Journal of Iron and Steel Research, International

A scalable parallel algorithm has been designed to study long-time dynamics of many-atom systems based on the nudged elastic band method, which performs mutually constrained molecular dynamics simulations for a sequence of atomic configurations (or states) to obtain a minimum energy path between initial and final local minimum-energy states.

Computer Physics Communications

We analyze the results in terms (1) of the minimum evolution criterion, (2) how close the genome halving result is to the final (local) minimum and (3) how close the final result is to an ancestor manually constructed by an expert with access to additional information.

Bioinformatics

The bank set a $660 million minimum for the second and final round.

The New York Times

Expert writing Tips

Best practice

When setting expectations or requirements, use "minimum and final" to clearly define the lower boundary and conclusive aspect of a condition or negotiation. This ensures clarity and avoids ambiguity.

Common error

Avoid using "minimum and final" when you actually mean an average or expected outcome. "Minimum" refers to the lowest acceptable value, not a typical one. Use "average and final" or "expected and final" if that better reflects your intent.

Linguistic Context

The phrase "minimum and final" serves as a conjunctive qualifier, modifying a noun or concept by specifying both a lower limit or requirement (minimum) and an end or conclusive state (final). Ludwig AI supports the usability of this phrase.

Expression frequency: Very common

Frequent in

Science

60%

News & Media

25%

Formal & Business

5%

Less common in

Encyclopedias

5%

Reference

3%

Social Media

2%

Ludwig's WRAP-UP

The phrase "minimum and final" functions as a conjunctive qualifier, commonly used to clearly define a lower limit or requirement alongside a conclusive end. Ludwig AI analysis confirms its correctness and usability across diverse fields, notably science, news, and formal business settings. While inherently neutral to formal, it signals precision, particularly in negotiations, project management, or establishing requirements. To enhance clarity, avoid substituting "minimum" with terms implying average or expectation, as this term specifies a lower limit, not a typical outcome. When alternatives are needed "least and ultimate", "lowest and last", or "minimal and concluding" can be used.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

least and ultimate

Replaces "minimum" with "least" to emphasize the lower limit and "final" with "ultimate" for the conclusive aspect.

lowest and last

Substitutes "minimum" with "lowest" to focus on the bottom level and "final" with "last" indicating the end point.

minimal and concluding

Uses "minimal" instead of "minimum" to denote the smallest amount and "concluding" instead of "final" to suggest termination.

lower limit and concluding stage

Expresses the idea more explicitly with "lower limit" replacing "minimum" and "concluding stage" for "final".

smallest and terminal

Replaces "minimum" with "smallest" to emphasize the diminutive size and "final" with "terminal" to indicate the ending.

minimum acceptable and culminating

Specifies the "minimum" as acceptable and replaces "final" with "culminating" to denote a climax or conclusion.

base and end

Condenses the phrase to its core concepts, using "base" to represent the minimum and "end" for the final state.

infimum and ultimate

Employs more formal terminology, with "infimum" as the greatest lower bound and "ultimate" for the conclusive aspect.

floor and ceiling

Replaces minimum with "floor" to imply the lowest acceptable limit, while keeping "final" implied through "ceiling"

rock bottom and definitive

Uses "rock bottom" as a metaphor for the lowest point and "definitive" to emphasize the conclusive nature of the finality.

FAQs

How can I use "minimum and final" in a sentence?

The phrase "minimum and final" is used to specify the lowest acceptable level or requirement and the conclusive or last stage of something. For example, "Please provide your "minimum and final offer"".

What is an alternative to "minimum and final"?

Alternatives include "least and ultimate", "lowest and last", or "minimal and concluding" depending on the context.

In what contexts is "minimum and final" commonly used?

"Minimum and final" is often used in negotiations, project management, and setting requirements where a lower limit and a definite end point need to be clearly defined.

Is there a difference between "minimum and final" and "maximum and final"?

"Minimum and final" specifies the lower limit and the end, while "maximum and final" would specify the upper limit and the end. The choice depends on whether you are setting a lower or upper boundary.