distinguished from zero

USAGE SUMMARY

The phrase "distinguished from zero" is correct and usable in written English.
It can be used in mathematical or statistical contexts to indicate that a value is not equal to zero and is significant in some way. Example: "In this analysis, we found that the coefficient is distinguished from zero, indicating a meaningful relationship between the variables."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Using CPS data, probit estimates of employment on the minimum wage, a large set of demographic covariates, state fixed effects, and state time trends, reveal that the effect of the minimum wage increases on employment cannot be distinguished from zero.

IZA Journal of Migration

LoD is the lowest concentration of an analyte that can be detected and reliably distinguished from zero, but not necessarily quantified, while LoQ is defined as the lowest concentration of an analyte that can be determined quantitatively with an acceptable level of precision and accuracy (Gonzaler and Herrador 2007).

Journal of Analytical Science and Technology

The limit of detection (LoD) represents the lowest amount of an analyte that can be reliably distinguished from zero.

Clinical Proteomics

The analytical sensitivity (lower detection limit) of the assay which represents the lowest measurable cholesterol concentration that can be distinguished from zero was mg/dl (0.08 mmol/Lt).

BMC Public Health

The analytical sensitivity (lower detection limit) of the assay which represents the lowest measurable albumin concentration that can be distinguished from zero is 0.2 g/dl or 2gm/ll.

BMC Public Health

They provided information about regular use of medications, and each participant's odor sensitivity was tested using a standard set of butanol dilutions to evaluate the lowest concentration that could be distinguished from zero (e.g., Croy et al. 2009).

Environmental Health Perspectives

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

If chemicals are to be distinguished from one another, they must stimulate separate cells.

Encyclopedia Britannica

Excommunication should be distinguished from two related forms of censure, suspension and interdict.

Encyclopedia Britannica

The two groups of hadrons are also distinguished from one another in terms of a property called baryon number.

Encyclopedia Britannica

There are three types of gastric glands, distinguished from one another by location and type of secretion.

Encyclopedia Britannica

The families of caecilians are distinguished from one another by morphological characteristics and features of their life histories.

Encyclopedia Britannica

Expert writing Tips

Best practice

When using "distinguished from zero" in scientific writing, ensure the context clearly indicates the method of distinction, such as statistical analysis or experimental measurement.

Common error

Avoid using "distinguished from zero" in non-technical contexts where simpler phrases like "not equal to zero" or "different from zero" would be more appropriate and easily understood by a general audience.

Linguistic Context

The phrase "distinguished from zero" primarily functions as a descriptive term within scientific and analytical contexts. It specifies that a value is not only different from zero but also that this difference is significant enough to be reliably detected or measured. According to Ludwig AI, this is often related to statistical significance.

Expression frequency: Uncommon

Frequent in

Science

60%

Encyclopedias

20%

News & Media

20%

Less common in

Formal & Business

0%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "distinguished from zero" is a precise term primarily used in scientific and analytical contexts to indicate a statistically significant difference from a null baseline. Ludwig AI confirms its grammatical correctness, highlighting its prevalent usage in technical literature. While alternative phrases exist, such as "significantly non-zero", the choice depends on the specific context and desired level of formality. When using this phrase, ensure the method of distinction is clear and avoid using it in general contexts where simpler alternatives suffice.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

significantly non-zero

Emphasizes statistical significance in being different from zero.

statistically different from zero

Specifically indicates a statistical difference rather than a mere difference.

demonstrably non-null

Emphasizes that the value is demonstrably not null, indicating a clear difference from zero.

reliably detected above baseline

Focuses on the reliability of detection compared to a baseline level of zero.

discernible from a null value

Highlights the ability to discern a difference from a zero or null state.

measurably greater than zero

Highlights the measurability aspect and indicates a positive difference from zero.

detectable beyond background noise

Emphasizes detectability over background interference, implying a non-zero signal.

exceeding the limit of detection

Focuses on surpassing the minimum threshold for detection, implying a non-zero quantity.

above the noise floor

Analogous to 'detectable beyond background noise', this signifies presence above a zero baseline.

not attributable to chance

Suggests the observed value is not random and differs significantly from zero.

FAQs

What does "distinguished from zero" mean in a scientific context?

In science, "distinguished from zero" implies that a measured value or result is reliably different from a baseline of zero, often indicating a statistically significant finding that isn't due to chance or error.

When is it appropriate to use "distinguished from zero" instead of "different from zero"?

"Distinguished from zero" is best used in technical or scientific fields where precision and statistical relevance are important. "Different from zero" is suitable for general contexts.

What are some alternative phrases I can use instead of "distinguished from zero"?

Depending on the context, you could use phrases like "significantly non-zero", "detectable beyond background noise", or "statistically different from zero".

How is "distinguished from zero" different from "not equal to zero"?

"Not equal to zero" simply states that a value isn't zero. "Distinguished from zero" implies that a value is not only different, but also that the difference is meaningful, reliable, and often statistically significant.