a slope of unity on

USAGE SUMMARY

"a slope of unity on" is correct and usable in written English.
This phrase is most commonly used to express a linear relationship between two variables, as in the example sentence, "The measurements yielded a slope of unity on the graph."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

The increase was linear with a slope of unity on a log log plot up to 2300 mg m−2, but there was some evidence that concentrations reached a plateau at the highest two doses of 3700 and 4900 mg m−2, as shown in Figure 2A.

British Journal of Cancer

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Interestingly, the Hill slope of the CGP 20712A inhibition binding curve was −0.72 ± 0.06 (n = 3), which was significantly shallower than a slope of unity (P < 0.05, one-sample t-test).

British Journal of Pharmacology

The blue line depicts a slope of unity.

Nature

Interestingly, the onset temperature of the endothermic peak linearly increased with a slope of unity against Ta and was observed at about 14 °C above Ta.

Polymer

The green line has a slope of unity (i.e., y=x).

Progress in Earth and Planetary Science

An ideal prediction should show a slope of unity (1), intercept of zero (0), and R2 = 1.

International Journal of Disaster Risk Science

In time-domain, The PSD of EEG, in general, has a slope of unity but deviations from unity have also been observed.

Brain Topography

The dashed line in Figure 3 is a diagonal reference line, which passes through the origin with a slope of unity.

Cytometry Part A

The amplitude should scale linearly with input power with a slope of unity, and while gain levels change the offset and slope, the linear response regions are the ones which can be calibrated.

Biomedical Optics Express

Reproducible ratios independent of PMT voltage imply a linear relationship between the intensities in the two scans; i.e. a curve with a slope of unity in double logarithmic plots (Fig. 2).

BMC Genomics

For r1 →  ∞ (i.e. r c  →  ∞ or r a  → 0), S (T s ) becomes equal to T s, represented by a straight line with a slope of unity (the left, upper bound).

Agricultural and Forest Meteorology

Expert writing Tips

Best practice

When describing graphs or plots, ensure you clearly define the axes and units to provide context for the "slope of unity".

Common error

Avoid assuming that a "slope of unity" automatically indicates a perfect correlation. It only signifies a 1:1 relationship between the variables, not necessarily a strong dependence.

Linguistic Context

The phrase "a slope of unity on" functions primarily as a descriptive term within scientific and technical writing. It is used to characterize the relationship between two variables, indicating a direct proportionality where a unit change in one variable corresponds to a unit change in the other. Ludwig confirms the phrase's correct usage in various contexts.

Expression frequency: 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, "a slope of unity on" is a prepositional phrase most commonly found in scientific and technical writing, used to precisely describe a 1:1 relationship between variables on a graph. Ludwig AI confirms its grammatical correctness and common usage in academic and scientific contexts. The phrase is best suited for formal settings, and alternatives such as "unit slope on" or "slope equaling one on" can offer stylistic variations. When using the phrase, be mindful to clearly define the context and avoid assuming a direct correlation solely based on a slope of unity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

unit slope on

Conciseness; omits "a" for brevity.

slope equaling one on

Replaces "unity" with its numerical equivalent.

slope of one on

Similar meaning, different phrasing.

gradient of unity on

Uses "gradient" as a synonym for "slope".

slope that is unity on

Emphasizes the characteristic of the slope.

linear slope of one on

Adds the adjective "linear" for clarity.

unitary slope on

Replaces 'unity' with 'unitary', emphasizing the single unit value.

a 1:1 slope on

Represents the slope as a ratio.

slope with a value of one on

Provides a more descriptive explanation of the slope.

a slope approximating unity on

Acknowledges possible slight deviations from a perfect slope of one.

FAQs

How to use "a slope of unity on" in a sentence?

You can use "a slope of unity on" to describe a direct proportional relationship between two variables in a graph. For example, "The increase was linear with "a slope of unity on" a log–log plot."

What does "a slope of unity" mean?

A "slope of unity" indicates a 1:1 relationship between the changes in two variables. For every unit increase in one variable, there is a corresponding unit increase in the other.

Is it correct to say "a slope of one" instead of "a slope of unity"?

Yes, "a slope of one" is generally acceptable and often used interchangeably with "a slope of unity". The term "slope equaling one" conveys the same meaning.

In what contexts is "a slope of unity on" commonly used?

The phrase is commonly used in scientific and engineering contexts when analyzing graphical data, especially to describe linear relationships and proportionalities. Other times is preferred "unit slope on".