a function relative to

USAGE SUMMARY

The phrase "a function relative to" is correct and usable in written English.
It can be used when discussing the relationship or dependency of one element to another in a specific context, often in mathematics, science, or technical writing. Example: "The output of the system is a function relative to the input parameters provided."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

where p a is a function relative to the intersection of areas of the 2D observation z m and the set of hulls of the projected 3D boxes x = {x n} with n = 1... N. The second function, p d, is related to the distances between the boxes.

EURASIP Journal on Advances in Signal Processing

We predicted that Akt-mediated phosphorylation of SIN1 might be involved in regulating the activity of mTORC2 because its phosphorylation occurred on a timescale that would support such a function relative to Akt S473 phosphorylation, and PI3K inhibition impairs the activation of mTORC2 (Frias et al., 2006).

Cell Metabolism

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

This approach involves an additional equation governing the evolution of a phase function relative to the presence of a phase in a cell.

Journal of Computational Physics

In other words, FBA optimizes an objective function relative to a limiting input flux.

Biotechnology journal

A collapse function relative to the disappearance of all ordered structures is evaluated, from which the differential distribution of mechanically effective constraints in the polymer samples may be obtained.

Polymer

Since (Q_{i}) is a quadratic function relative to y, (Q_{i} y geq0) for all (yin K ), if and only if the coefficient of (y^{2} ) is positive and the discriminant (Delta_{i} leq0 ).

Fixed Point Theory and Applications

This can be described in text as an inactive enzyme instead of a decrease of function relative to wildtype as in the below example sentences: "Replacement of Trp-125 or Trp-175 with arginine leads to a nonactive enzyme".

BMC Genomics

where is a small meromorphic function relative to.

Advances in Difference Equations

With the synthetic group I mGlu agonist DHPG, once again, the majority of mutant mGlu1 receptors display a loss of function relative to mGlu1 WT (typically 55 75% of WT response); however, K563N displays a slight gain of function (∼110% of WT), and P1015A only exhibits a slight diminution in activity (∼90% of WT response), suggesting some role for ligand bias across the mutants.

ACS Chemical Biology

Christensen et al. [ 7] recently found that an 11% weight loss in older adults with knee OA over an 8-week period resulted in a 3-fold improvement in self-reported function relative to a control group.

BMC Musculoskeletal Disorders

For them incense had a very practical, protective function relative to the Ark of the Testimony.

Huffington Post

Expert writing Tips

Best practice

When using "a function relative to", ensure that the relationship between the elements is clearly defined to avoid ambiguity. Be precise about what is being related to what.

Common error

Avoid embedding "a function relative to" within already complex sentences. Break down the sentence if necessary for clarity.

Linguistic Context

The phrase "a function relative to" acts as a prepositional phrase that modifies a noun, indicating a relationship or dependency. As Ludwig AI explains, it shows how one element is connected to another. Examples demonstrate its use in scientific and technical contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "a function relative to" is a grammatically sound prepositional phrase primarily employed in formal and scientific contexts to express dependency or a relationship between elements. As Ludwig AI confirms, the phrase is correct. While not commonly used, its precise meaning makes it valuable in technical writing. Remember to use this phrase when you want to explicitly show how one element's behavior is linked to another. Alternatives like "in relation to" or "as a function of" may offer simpler options in certain contexts but the phrase is correct.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

relative to

Emphasizes that something is being evaluated or considered in comparison to a standard or reference point.

proportional to

Specifies a direct mathematical relationship where changes in one element correspond to changes in another at a constant ratio.

as a function of

Focuses on the mathematical relationship, implying a direct dependency where one variable determines another.

in relation to

Emphasizes a general connection or association between two elements, often broader than a strict functional dependency.

dependent on

Highlights the reliance of one element on another for its existence or behavior.

with respect to

Indicates a specific point of view or frame of reference when considering a particular element.

contingent upon

Implies that the occurrence or state of one element is conditional on another.

in terms of

Changes the perspective to consider something from a specific viewpoint or criteria.

according to

Highlights that a statement or condition aligns with a particular source, rule, or guideline.

as regards

Indicates the topic or aspect that is being discussed or considered.

FAQs

How can I use "a function relative to" in a sentence?

Use "a function relative to" to indicate that one thing changes or depends on another. For example: "The efficiency of the engine is a function relative to its maintenance."

What's a simpler way to say "a function relative to"?

You could use phrases like "depending on", "related to", or "in relation to" depending on the specific context. For example: "The cost is "related to" the size."

Is "a function relative to" formal or informal language?

"A function relative to" is generally considered formal and is best suited for scientific or technical writing. It is less common in everyday conversation.

What is the difference between "a function relative to" and "as a function of"?

"A function relative to" expresses a general relationship, while "as a function of" implies a more direct mathematical or causal relationship. For example: "Performance varies "as a function of" temperature."