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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

with a minimum cost

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "with a minimum cost" is correct and usable in written English.
You can use it when discussing expenses or budgeting, indicating that something can be achieved while keeping costs low. Example: "We aim to complete the project with a minimum cost to ensure profitability."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

With a minimum cost of $4.7 billion for instruments that would require a wide range of new technologies, the recommendations are nothing if not daring for fields as abstract as astronomy, astrophysics and cosmology.

News & Media

The New York Times

Minimalism in design is central to provide the user with an answer with a minimum cost in terms of actions.

The better heat exchanger is one that transfer's high heat rate at low pumping power with a minimum cost.

Each agent chooses the agent subset with a minimum cost as the coordinate team based on coordinate tree.

DTW algorithm is to use the classic dynamic programming to find an optimal path with a minimum cost of bending, and the time complexity is Ο |A| ⋅ |B|).

Since the MST connects the entire network with a minimum cost (baseline length), it is possible to have the uniform baseline lengths throughout the network, resulting in high possibilities of stable solution.

Show more...

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

The best results were obtained with TAMO for a minimum cost of 104 104€.

This paper deals with the problem of finding a minimum cost schedule for a set of dependent activities when a convex cost function is attached to the starting time of each activity.

As will be discussed below, the strike price will be set at marginal cost of production, therefore allowing those countries to purchase the drug at a minimum cost, with the cost of the effective subsidy borne by the NGO.

Even though the majority rule with judges 70% accurate is more accurate than both a sum rule with 70% accurate judges and a majority rule with 65% accurate judges, it has a minimum cost at 7 judges while the latter procedures have a minimum cost at 5 judges.

Science

Plosone

In this paper, we consider a network design problem which has upper-bounds on weighted degrees of vertices as its constraints while the objective is to compute a minimum cost graph with a prescribed connectivity.

Show more...

Expert writing Tips

Best practice

When aiming for clarity, position "with a minimum cost" close to the specific action or goal it modifies. This avoids ambiguity and ensures the reader understands what is being optimized for cost.

Common error

While "with a minimum cost" is generally acceptable, be mindful of your audience. In casual conversation or informal writing, consider simpler alternatives like "cheaply" or "affordably" to maintain a natural tone.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

84%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "with a minimum cost" functions as an adverbial phrase, modifying a verb or clause by specifying a condition or manner in which something is done. It indicates that an action is performed while aiming to keep the expenses as low as possible. According to Ludwig, this phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

10%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "with a minimum cost" is a grammatically sound and useful expression for emphasizing the importance of cost-effectiveness. As confirmed by Ludwig AI, this phrase is usable in written English. Although not particularly common, it appears most frequently in scientific and technical writing, reflecting a focus on resource optimization. While acceptable in many contexts, simpler alternatives may be preferable in casual conversation. When using "with a minimum cost", prioritize clarity by placing it close to the action it modifies to enhance understanding.

FAQs

How can I rephrase "with a minimum cost" to sound more formal?

For a more formal tone, consider alternatives like "with minimal expenditure", "cost-effectively", or "economically".

What is the difference between "with a minimum cost" and "at the lowest price"?

"With a minimum cost" generally refers to minimizing expenses in a process or project, while "at the lowest price" focuses specifically on the monetary value of a product or service.

Is it always best to aim for something "with a minimum cost"?

Not necessarily. While cost-effectiveness is important, sometimes prioritizing quality, speed, or other factors may be more beneficial, even if it means higher expenses. The optimal approach depends on the specific context and objectives.

How to ensure that my project is completed "with a minimum cost"?

Effective budgeting, resource allocation, careful planning, and diligent monitoring are crucial. Regular cost analysis will help identify potential savings and prevent overspending. Be prepared to make well-informed compromises.

ChatGPT power + Grammarly precisionChatGPT power + Grammarly precision
ChatGPT + Grammarly

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.

Source & Trust

84%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Most frequent sentences: