minimum problem

USAGE SUMMARY

The phrase "minimum problem" is correct and usable in written English. You can use it in contexts related to optimization, mathematics, or decision-making where the goal is to minimize a certain value or outcome. For example, "The team is working on a minimum problem to reduce costs in the project." Alternative expressions include "minimization issue," "least problem," and "minimum challenge."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

34 human-written examples

The area is largely commercial slums now which will result in a minimum problem of dislocation.

The New Yorker

If the singular solution is an envelope, it can be found from the general solution by solving the maximum (or minimum) problem of finding the value of the parameter c for which y has a maximum (or minimum) value for a fixed x, and then substituting this value for c back into the general solution.

Encyclopedia Britannica

In this section, we analyze the model from inner minimum problem to outer minimum problem.

Journal of Modern Power Systems and Clean Energy

Additional constraints can be incorporated into the corresponding PR minimum problem by way of indicator functions.

EURASIP Journal on Advances in Signal Processing

The Lagrange multipliers method is used to solve the minimum problem by accounting for the aforesaid nonlinear constitutive law.

International Journal of Solids and Structures

As far as we know, Problem II and the corresponding minimum problem have the same unique solution (see [13]).

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

26 human-written examples

We watched all the media, social media, and telecommunications functioning with minimum problems that lasted only a few hours.

Huffington Post

We resolve the local-minimum problem by using another virtual distance function when the local-minimum problem occurs.  .

EURASIP Journal on Wireless Communications and Networking

Local-minimum problem: A node cannot select a next hop node for downstream data when the local-minimum problem arises.

EURASIP Journal on Wireless Communications and Networking

We then resolve the local-minimum problem using an alternative routing metric.

EURASIP Journal on Wireless Communications and Networking

In our protocol, the local-minimum problem arises when a node cannot select a next hop.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

In general writing, ensure the context clarifies if you mean the 'lowest amount' of trouble or a problem that is simply 'small'.

Common error

Avoid using "minimum problem" when you simply mean a small or unimportant issue. "Minimum" functions as a noun-adjunct or a mathematical limit, whereas "minimal problem" is typically better for describing something very small in size or importance.

Linguistic Context

The phrase "minimum problem" functions as a noun phrase where "minimum" acts as an attributive adjective or noun-adjunct modifying "problem". In technical literature cited by Ludwig, it often serves as a specific term for an objective function or a mathematical constraint where the goal is to find the lowest possible value.

Expression frequency: Common

Frequent in

Science

75%

Academia

15%

News & Media

10%

Less common in

Formal & Business

5%

Encyclopedias

3%

Social Media

1%

Ludwig's WRAP-UP

According to Ludwig AI, "minimum problem" is a versatile phrase that thrives in high-precision environments. In the world of optimization and mathematics, it is a standard term for finding the lowest point of a function, frequently appearing as the "local minimum problem" in discussions about neural networks and robotic navigation. Beyond science, reputable sources like The New Yorker use it to describe situations where friction or dislocation is kept to its absolute lowest limit. While often interchangeable with "minimal problem" in casual speech, maintaining the distinction ensures your writing remains technically accurate and professionally sharp.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

minimization problem

Uses the formal mathematical term for the process of finding the lowest value of a function

minimal problem

Shifts the focus from a 'limit' or 'threshold' (minimum) to the 'small size' or 'insignificance' of the issue

local minima problem

Specifies a particular type of technical obstacle in optimization and machine learning

least possible problem

An emphatic variation used to highlight that a situation is as smooth as it can be

minimizing task

Emphasizes the active effort required to reduce a specific issue

optimization problem

The broader category that encompasses both minimum and maximum challenges

minor challenge

A more natural choice for general writing to describe a small difficulty

marginal concern

Indicates that the problem is on the edge of being unimportant

negligible issue

Suggests the problem is so small it can be safely ignored

slight complication

A softer way to describe a small hurdle in a non-technical setting

FAQs

Is it correct to say "minimum problem" in a sentence?

Yes, as shown in Ludwig, "minimum problem" is correct, particularly in scientific contexts like "solving the minimum problem of the cost function" or general contexts like "resulting in a minimum problem of dislocation".

What is the difference between "minimum problem" and "minimization problem"?

While similar, a "minimization problem" refers specifically to the process or task of reducing a value, whereas "minimum problem" often refers to the specific state or the mathematical hurdle itself.

Can I use "minimal problem" instead?

You can use "minimal problem" if you want to emphasize that the problem is very small. Use "minimum problem" if you are referring to the absolute lowest limit or an optimization goal.

What does "local minimum problem" mean?

In science and mathematics, a "local minimum problem" occurs when an algorithm gets stuck in a valley that is the lowest point in its immediate neighborhood but not the overall lowest point of the entire function.