as a function of point

USAGE SUMMARY

The phrase "as a function of point" is not standard in written English and may cause confusion.
It could be used in a mathematical or technical context where you are discussing variables or parameters related to a specific point. Example: "The output of the system varies as a function of point in the input space."

Science

Wiki

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

The boxplots in Fig. 1 show a summary of the variation of mean canopy height and FC subsequently used to model AGB, derived from each data model at each study site as a function of point density.

Carbon Balance and Management

Here, we present an analytic model that predicts the concentrations of such complexes as a function of point defect concentrations using the probabilities for point defects to encounter and the probabilities for the formation of specific complexes dependent on their formation energies.

Acta Materialia

In this regard, then, Himelblau notes that "is also, as far as we are aware, the first novel in Spanish America that seeks to render fictional reality of time as a function of point of view".

Wikipedia

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Figure 3 Polar diagram of normalized phase velocities as a function of points per wavelength (PPW) and the direction of propagation.

Advances in Difference Equations

A third order polynomial correlation for prediction of under-saturated oil viscosity as a function of bubble point viscosity, pressure differential (pressure minus bubble point pressure) and pressure ratio (pressure divided by bubble point pressure) was proposed.

Journal of Molecular Liquids

Thus, the electron beam is scanned on the sample, and a series of spectra is collected for each point; thus, the obtained spectra can be compared as a function of the point of collection in the sample.

Nanoscale Research Letters

In addition, collector efficiency as a function of operating point is computed and presented graphically for different collector configuration and various operating conditions.

Renewable Energy

Since P3 and P4 must be the points where the straight line through P1 and P2 meets κ, the said cross-ratio may be regarded as a function of the point pair <P1,P2>.

SEP

Fig. 11 Radius of convergence r of the Taylor series of the logistic function (X (V )), as a function of the point (V=mu) about which the expansion is performed.

The Journal of Mathematical Neuroscience (JMN)

E.g., in order to see an object's shape and size it is necessary to have certain anticipations concerning the way in which retinal stimulations caused by the object would vary as a function of her point of view.

SEP

The findings showed a three-factor seven-item model of the EPDS offered an excellent fit to the data, and was observed to be replicable in both datasets and invariant as a function of time point of assessment.

Psychiatry Research

Expert writing Tips

Best practice

When using "as a function of point", ensure the context clearly defines what the "point" represents. Ambiguity can arise if the reference point is not well-established or easily understood.

Common error

Avoid using "as a function of point" when the 'point' lacks a clear, explicit definition within the context. Ensure the reader can easily identify and understand what the point represents to prevent confusion.

Linguistic Context

The phrase "as a function of point" primarily serves as an adverbial phrase indicating a relationship or dependency. It specifies that a variable changes or is determined in relation to a particular reference point. Ludwig shows its use in describing how variables depend on specific locations in scientific and technical contexts.

Expression frequency: Rare

Frequent in

Science

66%

Wiki

33%

News & Media

0%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "as a function of point" is a prepositional phrase used to describe how a variable depends on a specific reference or location. Ludwig AI indicates that while grammatically acceptable, it can be improved with more clarity. It is most commonly used in scientific and technical contexts, suggesting a formal register. If more clarity is required, alternatives such as "depending on the point" or "in relation to the point" can be useful. Ensure that the "point" is well-defined to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

depending on the point

Replaces "as a function of" with a more direct expression of dependency.

in relation to the point

Substitutes "as a function of" with a phrase indicating a relationship or connection.

with respect to the point

Uses a more formal phrase to indicate how something is considered in relation to a specific point.

as determined by the point

Emphasizes that the point dictates or influences the outcome.

based on the point

Indicates that the point serves as the foundation or basis for something.

according to the point

Shows that something varies corresponding to the point in question.

conditioned on the point

A more formal way of saying something is dependent on a specific condition (the point).

as a result of the point

Suggests a cause-and-effect relationship where the point leads to a particular outcome.

influenced by the point

Highlights that the point has an impact or effect on something.

governed by the point

Implies that the point controls or regulates something.

FAQs

What does "as a function of point" mean?

The phrase "as a function of point" means that something varies or is dependent on a specific location, position, or reference. It indicates a relationship where changes in the "point" lead to changes in the outcome.

How can I rephrase "as a function of point"?

You can use alternatives like "depending on the point", "in relation to the point", or "with respect to the point" to express similar relationships.

In what contexts is "as a function of point" commonly used?

"As a function of point" is frequently used in scientific, mathematical, and technical contexts where describing relationships between variables and specific locations or references is important. These usages are visible on Ludwig.

Is "as a function of point" formal or informal?

The phrase "as a function of point" leans towards the formal side, especially when used in academic or technical writing. In everyday conversations, simpler alternatives might be more appropriate.