minimal value of

USAGE SUMMARY

The phrase "minimal value of" is correct and usable in written English.
It can be used in mathematical, statistical, or analytical contexts to refer to the lowest point or least amount of a variable or function. Example: "To find the minimal value of the function, we need to analyze its critical points."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Min: the minimal value of a vector.

EURASIP Journal on Audio, Speech, and Music Processing

3. Minimal value of start position in cluster.

Rice

In both cases the minimal value of u grows larger.

Journal of Mathematics in Industry

Moreover, the minimal value of l is determined, in function of the irregularity of X.

Journal of Functional Analysis

SiNx/SiOxNy film acted as antireflective layer with minimal value of 4.03% reflectance after numerical optimization.

Materials Science in Semiconductor Processing

The minimal value of Renyi entropy is the optimal selection of.

EURASIP Journal on Advances in Signal Processing

In those two figures, the maximum value and minimal value of are shown for each surface.

EURASIP Journal on Wireless Communications and Networking

Curie temperature was determined as the minimal value of dM/dT versus T curves.

Nanoscale Research Letters

So, we just choose the component has the minimal value of MeanDistance.

EURASIP Journal on Image and Video Processing

By (2.5) we know that the minimal value of can be attained at, that is.

Journal of Inequalities and Applications

The minimal value of S is equal to 1.54 ± 0.02 and corresponds to the Sun longitude 32.19° ± 0.04°.

Advances in Space Research

Expert writing Tips

Best practice

When using "minimal value of" in technical writing, ensure you clearly define the context and units of measurement to avoid ambiguity. For example, "the minimal value of resistance was 10 ohms" is clearer than "the minimal value was 10."

Common error

Avoid using "minimal value of" when you actually mean the optimal or most desirable value. "Minimal" refers strictly to the smallest quantity, while "optimal" refers to the best compromise among different factors. Using the wrong term could confuse your readers.

Linguistic Context

The phrase "minimal value of" functions as a noun phrase, typically used to specify the lowest quantity or degree of something. Ludwig AI's analysis of numerous examples confirms its role in defining lower limits or thresholds in various contexts.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "minimal value of" is a grammatically correct and frequently used phrase, particularly within scientific and technical writing, to denote the lowest possible quantity or degree. As Ludwig AI confirms, it serves to establish lower limits and thresholds. While alternatives like "lowest value of" or "minimum value of" exist, it's essential to maintain clarity and precision, especially when differentiating it from related concepts such as optimal values. Understanding its usage patterns across various authoritative sources helps in effective communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

minimum value of

Replaces "minimal" with "minimum", using a more formal synonym.

lowest value of

Replaces "minimal" with "lowest", maintaining the meaning of the smallest quantity.

least value of

Replaces "minimal" with "least", indicating the smallest or smallest quantity.

smallest value of

Substitutes "minimal" with "smallest" emphasizing the size aspect.

absolute minimum of

Adds "absolute" to emphasize that the value is the lowest possible.

lower bound of

Uses "lower bound" to refer to the smallest limit or boundary.

minimum threshold of

Replaces "value" with "threshold" to specify a boundary that must be reached.

floor value of

Uses "floor" to mean the lowest acceptable or possible value.

inferior limit of

Employs "inferior limit" to describe the smallest boundary, primarily in mathematical contexts.

reduced amount of

Focuses on the aspect of reducing something to its smallest quantity.

FAQs

How can I use "minimal value of" in a sentence?

You can use "minimal value of" to describe the lowest quantity or amount within a given set of data or conditions. For example, "The experiment aimed to determine the minimal value of energy required for the reaction to occur."

What are some alternatives to "minimal value of"?

Alternatives include "lowest value of", "least value of", or "minimum value of". The best choice depends on the specific context and the desired level of formality.

Is there a difference between "minimal value of" and "minimum value of"?

While both phrases are very similar and often interchangeable, "minimum value of" is generally perceived as slightly more formal. "Minimal value of" is equally correct and widely accepted, but might be considered less technical in some contexts.

In what contexts is it appropriate to use "minimal value of"?

"Minimal value of" is appropriate in various technical and analytical contexts, such as science, engineering, and statistics. It's often used when discussing optimization, thresholds, or limits. For instance, "The engineer calculated the minimal value of structural support needed to ensure safety."