critical fraction

USAGE SUMMARY

The phrase "critical fraction" is correct and usable in written English.
It can be used in contexts where a specific portion or percentage is essential for a particular outcome or analysis, often in scientific or mathematical discussions. Example: "In order to achieve the desired reaction, we need to maintain a critical fraction of the catalyst in the mixture."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

Not a critical fraction.

The New York Times - Sports

For the safety benefits of vehicle-to-vehicle broadcasting to be realised, the devices will have to be installed in a critical fraction of the 250m vehicles on American roads.

The Economist

The synthesized materials have highly connected structural network with an open architecture and a minor but critical fraction of depolymerized Q-species.

Journal of the European Ceramic Society

For suspensions with ξ = 0.14 a transition of α, from ∼1 to ∼1.6, is observed at a critical fraction of added polymers.

Polymer

Above some critical fraction of the companion radius, (x_{mathrm {crit}}), a fraction (F_{mathrm{strip}}) of the mass is stripped by the shell impact, and below it a fraction (F_{mathrm{ablate}}) of mass is ablated.

Computational Astrophysics and Cosmology

It is found that continuous recrystallization occurs in samples in which a critical fraction of high angle boundaries are formed on deformation, and this is shown to be in agreement with a theory of microstructural stability.

Acta Materialia

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

It thus remains important that the critical vaccination fraction (those fractions of each subpopulation that should be vaccinated to achieve protection against RSV) as well as the recommended age for vaccination be better established, especially within the developing country setting.

Plosone

For larger volume fractions of whiskers, up to the critical volume fraction for formation of facet-to-facet contact, whiskers inhibit grain-boundary sliding and deformation proceeds by means of pure diffusion.

Acta Materialia

Critical porosity fraction.

Journal of Petroleum Exploration and Production Technology

Chain removal is based on the critical ionization fraction criterion.

Polymer

In addition, a critical volume fraction (CVF) of the SiC reinforcement, 0.34 is obtained.

Computational Materials Science

Expert writing Tips

Best practice

When discussing scientific or technical topics, ensure that the units and context for the "critical fraction" are clearly defined to avoid ambiguity.

Common error

Don't assume your audience knows what "critical fraction" refers to in your specific field. Always provide context or a brief explanation, especially when writing for a general audience.

Linguistic Context

The phrase "critical fraction" functions as a noun phrase, where "critical" modifies "fraction". It denotes a specific portion or percentage that is essential or crucial for a particular outcome or analysis, often highlighting a threshold or minimum requirement, as demonstrated by Ludwig.

Expression frequency: Uncommon

Frequent in

Science

85%

News & Media

12%

Formal & Business

3%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "critical fraction" is a noun phrase that signifies an essential proportion or amount, primarily used in scientific and technical domains. Ludwig AI confirms its grammatical correctness and usability. While not extremely common, the phrase is crucial in contexts where precision is key. When using "critical fraction", ensure the context and units are clear and avoid assuming universal understanding. Alternatives like "essential proportion" or "key percentage" may be suitable for broader audiences.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

essential proportion

Replaces "critical" with "essential", emphasizing necessity rather than a precise threshold.

crucial proportion

Replaces "critical" with "crucial", highlighting the importance of the proportion.

key percentage

Substitutes "fraction" with "percentage", offering a more common way to express the idea of a proportion out of one hundred.

vital percentage

Uses "vital" instead of "critical", stressing the importance for success or survival.

necessary ratio

Replaces both "critical" and "fraction" to denote an essential proportional relationship.

required portion

Specifies the amount needed to achieve a certain result.

indispensable quantity

Highlights that the quantity is fundamental and cannot be done without.

threshold amount

Focuses on the idea of a limit that must be reached to trigger a certain effect.

minimum level

Highlights the lowest acceptable quantity or proportion.

effective dose

Applicable in contexts where a "critical fraction" determines the effectiveness of a treatment or intervention.

FAQs

How is "critical fraction" typically used in scientific writing?

In scientific writing, "critical fraction" is used to denote a proportion or amount that is essential for a specific process or outcome. For example, in epidemiology, it might refer to the "herd immunity threshold".

What are some contexts where I might encounter the term "critical fraction"?

You'll often find "critical fraction" used in fields like chemistry, physics, engineering, and public health to describe minimum or necessary proportions for reactions, stability, or effectiveness.

Is there a difference between "critical fraction" and "critical mass"?

Yes, while both terms imply a necessary threshold, "critical mass" often refers to a quantity needed to initiate a self-sustaining reaction (like in nuclear physics), whereas "critical fraction" is a more general term applicable to various proportions and contexts.

What can I say instead of "critical fraction" if I want to use more common language?

Depending on the context, you can use alternatives like "essential proportion", "key percentage", or "crucial amount" to convey a similar meaning.