Maximum of the two

USAGE SUMMARY

The phrase "Maximum of the two" is correct and usable in written English.
It can be used in contexts where you are comparing two values and want to refer to the larger one. Example: "To determine the highest score, we will take the maximum of the two results."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

For infinite cardinals, the arithmetic is uninteresting since, as a consequence of the axiom of choice, both the sum and product of two such cardinals are equal to the maximum of the two.

Encyclopedia Britannica

Reciprocal clustering defines the cost of an edge as the maximum of the two directed dissimilarities.

Journal of Cheminformatics

k max is the maximum of the two absolute values |k LF1| and |k LF2|.

EURASIP Journal on Advances in Signal Processing

Total sterility S Total as the maximum of the two sterilities:  .

Rice

where νmax is the maximum of the two values ν x and ν y in Equation 1.

Nanoscale Research Letters

It will be the maximum of the two biggest negative eigenvalues of such problems when (n-k) is odd.

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

Successful students will be awarded a bursary of £2,000 for a maximum of the three years of study.

The Guardian

If the maximum of the three probabilities at a locus was higher than 0.9, we treated it as a certainty.

Nature

For each range bin, the maximum of the four beams (Svmax) was taken to create depth profiles of the maximum level of scattering across the water column.

Nature

The amplitude is normalized to the maximum of the three components.

Earth, Planets and Space

The maximum of the three values CSF k is taken to be the CSF, i.e. CSF = max(CSF k).

Bioinformatics and Biology Insights

Expert writing Tips

Best practice

When comparing only two values, use "maximum of the two" to clearly indicate you are selecting the larger value from that specific pair. This avoids ambiguity in contexts with multiple values.

Common error

Avoid using "maximum of the two" when you need to identify the overall maximum across multiple values, not just within a pair. Use "overall maximum" or "absolute maximum" to clarify that you're looking for the highest value in a larger set, not just between "the two" specific values under consideration.

Linguistic Context

The phrase "maximum of the two" functions as a determiner phrase specifying that the highest value from a pair of values is being selected. It is frequently used in mathematical, scientific, and analytical contexts. Ludwig AI indicates the phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

70%

Academia

20%

News & Media

10%

Less common in

Encyclopedias

0%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "maximum of the two" is a grammatically sound and useful construction for specifying the larger value from a pair, predominantly used in scientific, academic, and technical domains. As Ludwig AI confirms, it is correct and clear in its intent. While alternatives like "larger of the two" and "greater of the two" offer similar meanings, the original phrase maintains precision in contexts requiring explicit comparison between two values. Keep in mind to differentiate between comparisons of only two values and broader sets where the 'overall maximum' is desired to maintain clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Larger of the two

Replaces "maximum" with "larger", emphasizing size or magnitude rather than a numerical extreme.

Greater of the two

Similar to "larger", but more abstract and applicable to non-physical quantities.

Higher of the two

Highlights vertical position or elevation, suitable for contexts where values are represented on a scale.

The greater of the pair

Emphasizes that there are only two items being compared.

The larger of the pair

Like "the greater of the pair", this specifies the comparison is limited to two items and highlights a physical size difference.

Which is bigger

This is an interrogative alternative that prompts a comparison to identify the larger of the two.

Whichever is higher

Expresses selection based on which value is greater, often used when making a choice.

The upper bound of the two

Focuses on setting a limit based on the highest value between the two.

The ceiling of the two

A less common but potentially suitable alternative if the context concerns rounding up to the highest value.

The peak of the two

Suitable when referring to graphic representations or measurements where "peak" implies the highest point or value.

FAQs

How can I use "Maximum of the two" in a sentence?

You can use "Maximum of the two" to specify that you are taking the larger value from a set of two. For instance, "The final score will be the "maximum of the two" test scores."

What is a good alternative to "Maximum of the two"?

Alternatives include "larger of the two", "greater of the two", or "higher of the two", depending on the specific context.

When is it appropriate to use "Maximum of the two" versus "overall maximum"?

"Maximum of the two" is used when comparing only two values and selecting the higher one. "Overall maximum" is used when identifying the highest value within a larger group of values.

Is "Maximum of the two" formal or informal?

The phrase "Maximum of the two" is generally considered neutral and can be used in both formal and informal contexts, although it is more common in technical or analytical writing. More casual contexts may involve alternatives like "whichever is bigger".