decline function

USAGE SUMMARY

The phrase "decline function" is correct and usable in written English.
It can be used in contexts related to mathematics, programming, or any field where a function's output decreases under certain conditions. Example: "In this model, we observe a decline function that illustrates how the output reduces as the input increases."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

The exponential decline function adequately fits the soil carbon data and is shown to relate to soil type.

Geoderma

Furthermore, we propose a logistic leaf area index (LAI) decline function which approaches a user-defined minimum LAI instead of using the default function, which is not considering the minimum LAI.

Ecological Modelling

Although we use steady well rates in our present analysis, well rates can be time-dependent and prescribed by any decline function to study transient flow.

Journal of Petroleum Exploration and Production Technology

Valko (2010) presented an application of the stretched exponential decline model, a model which Johnston (2006) described as the expected decline function for a system that constrains many independently declining species, where each specie declines exponentially at a specific decline rate.

Journal of Petroleum Exploration and Production Technology

Calibration was carried out using a modified version of the Furness algorithm [34, 35], with data from journeys for work between municipalities obtained from the 2001 Population and Housing Census in Spain [36].4 The use of an exponential decline function avoids anomalous self-potential values [37], since it transforms all opportunities into MPUs.

European Transport Research Review

A simple exponential decline function is often used for modeling production decline in many academic and government energy supply analyses (EIA 2014; Cook and Wagener 2014; Weijermars 2013, 2014) with the following form: Q_{n} = Q_{1} (1 - r)^{n - 1}, (4 where Q 1 is the production in year 1 and decline factor r. The production in year n is given by Q n.

Petroleum Science

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

An increased incidence rate of IS/TIA was observed with declining renal function.

Cardiovascular Diabetology

Two weeks after the cabaret article, Ross had printed another essay by her, called "The Declining Function: A Post-Debutante Rejoices".

The New Yorker

Fifty-seven percen=137=137 of 239) demonstrated resilience, with 91.2% (n=125) recovering within 6months of declines; these participants had higher baseline physical function (MD 6.6 points, 95% CI 1.8-11.4), but similar pre-decline function.

Duke University

Brain shrinkage, declining function and memory loss had been thought to be irreversible.

BBC

The FCI consists of a list of 18 diagnoses that were found to be significantly associated with declining function.

Journal of Orthopaedics and Traumatology

Expert writing Tips

Best practice

When using "decline function", ensure the context clearly indicates what is declining and what function is being affected. For example, specify "renal decline function" or "cognitive decline function" for clarity.

Common error

Avoid using "decline function" as a generic term for any decrease. It specifically refers to a reduction in the operational capacity or effectiveness of a particular function, not just any declining trend.

Linguistic Context

The phrase "decline function" primarily functions as a noun phrase describing a process or state where the capability or effectiveness of something diminishes. As Ludwig AI indicates, it's grammatically correct and usable in English, fitting within various scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "decline function" is a grammatically sound term primarily used within scientific and technical contexts to describe a reduction in the performance or effectiveness of a specific function. Ludwig AI affirms its correctness and usability. While not extremely common, its usage is consistent in describing diminishing capabilities. Alternative phrases like "decreasing functionality" or "diminishing function" can be used to convey similar meanings. When employing this phrase, ensure the context clearly specifies what is declining, such as "renal decline function" or "cognitive decline function", to enhance clarity and avoid misinterpretations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

decreasing functionality

Focuses on the reduction of a function's operational capacity.

diminishing function

Highlights the gradual reduction in a function's effectiveness.

reducing function

Emphasizes the act of making the function smaller or less significant.

decaying function

Suggests a gradual deterioration or loss of strength in the function.

waning function

Implies a decline in power, influence, or extent of the function.

declining performance

Indicates a reduction in the quality or effectiveness of the function's output.

decreasing output

Focuses specifically on the reduction in the function's results.

fading function

Suggests a gradual disappearance or weakening of the function's role.

depreciating function

Conveys a loss of value or effectiveness over time.

descending function

Describes a function that is moving downwards or decreasing in value.

FAQs

How is "decline function" used in scientific writing?

In scientific contexts, "decline function" describes a mathematical or biological process where the output or effectiveness of a function decreases over time or under certain conditions. Examples include renal function or cognitive function.

What's the difference between "decreasing function" and "decline function"?

"Decreasing function" is a more general mathematical term, while "decline function" often implies a loss of effectiveness or operational capacity in a specific system or process.

Can "decline function" be used in business contexts?

While less common, "decline function" can be used in business to describe a decrease in the performance or output of a specific operational function, such as sales or productivity. However, in this context consider more direct alternatives like "declining performance".

What are some specific examples of functions that might experience a decline?

Examples include renal function, cognitive function, lung function, and cardiac function. In each case, the term indicates a reduction in the normal operational capacity of that specific bodily system.