integrated out of

USAGE SUMMARY

The phrase "integrated out of" is correct and usable in written English.
It is typically used in mathematical or statistical contexts to describe the process of removing a variable from an equation or model by summing or averaging over it. Example: "In the analysis, we integrated out of the nuisance parameters to focus on the primary effects of interest."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

The old Chrysler hasn't been integrated out of existence.

Forbes

Since k is not observed, it must be integrated out of (4).

IZA Journal of Migration

Because the home range centre for each individual is unobserved, it must be integrated out of the process.

Biological Reviews

Alternatively, the pathway effects can be considered as nuisance parameters and integrated out of the model given in Equation (3).

Bioinformatics

The AnimA model was also analyzed with a Metropolis-Hastings random walk algorithm to estimate genetic variance, where breeding values were integrated out of the likelihood.

Genetics, Selection, Evolution

In the proposed hierarchical model, the SNP effects are analytically integrated out of the analysis, allowing computationally tractable model fitting to genome-wide data.

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

So far, little is known about the differences in costs between an integrated out-of-hours care model and a separated out-of-hours care model.

BMC Family Practice

More specifically, it is possible to show, as an instance of the Rao-Blackwell theorem [13, 14], that integrating out some of the state variables in (9) analytically improves the accuracy of the approximation (11).

EURASIP Journal on Wireless Communications and Networking

This Full Bayesian approach is illustrated as follows: One may also first integrate out one of them, for example f to obtain p ( θ g, θ 0 ) = ∫ p ( f, θ g, θ 0 ) d f, (6).

EURASIP Journal on Advances in Signal Processing

The white line shows the trajectory of New Horizons integrated out to the Pluto encounter at 33 AU.

Earth, Planets and Space

This mean-field model integrates out fast kinetics of binding and unbinding of chemoeffectors to receptors, and leaves comparatively slow processes of dephosphorylation and methylation as independent variables.

Plosone

Expert writing Tips

Best practice

To improve clarity in general writing, consider using alternatives like "eliminated from" or "removed from" unless the mathematical sense is required.

Common error

Avoid using "integrated out of" in general writing where simpler alternatives like "removed" or "excluded" would be more appropriate. The phrase is primarily suited for technical discussions.

Linguistic Context

The phrase "integrated out of" functions as a verb phrase, typically used in scientific and mathematical contexts. As Ludwig AI confirms, it describes a specific mathematical or statistical process of removing a variable.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

15%

Formal & Business

15%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "integrated out of" is grammatically correct and primarily used in technical and scientific writing, as confirmed by Ludwig AI. It describes the process of eliminating a variable from a mathematical model or equation through integration or averaging. While the phrase is accurate in this context, it may be too technical for general use. Therefore, in non-technical contexts, consider using simpler alternatives like "eliminated from" or "removed from" for clarity. The frequency of this phrase is uncommon, with its primary contexts being science, news & media and formal & business.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

eliminated from

Focuses on the removal aspect, often implying a simplification of a model.

removed from

A more general term for taking something away, lacking the specific technical implication.

marginalized out of

Implies that the variable's effect has been minimized, often in statistical analysis.

averaged out of

Suggests a process of finding an average value that negates the variable's influence.

summed out of

Describes a mathematical operation to eliminate a variable.

factored out of

Describes a process in mathematics to simplify an expression.

accounted for

The variable's effect has been considered and dealt with, not necessarily removed.

conditioned upon

Focuses on making something dependent on something else, opposite concept.

abstracted from

The core concept is kept but the unimportant parts have been removed.

consolidated into

The original variable is merged into a new entity.

FAQs

How is "integrated out of" typically used in scientific writing?

In scientific writing, "integrated out of" often refers to the process of eliminating a variable from an equation or model by summing or averaging over its possible values. It's a way to simplify the model by removing a less relevant parameter.

What does "integrate out a variable" mean in Bayesian statistics?

In Bayesian statistics, to "integrate out a variable" means to eliminate it by averaging over its probability distribution. This is often done with nuisance parameters to obtain a marginal distribution for the parameters of interest.

Are there simpler ways to express the idea of "integrated out of" in non-technical contexts?

Yes, in non-technical contexts, you can use phrases like "removed from", "excluded from", or "eliminated from" to convey the same idea more clearly.

In what fields is the phrase "integrated out of" commonly used?

The phrase "integrated out of" is frequently used in fields such as statistics, physics, and machine learning, where mathematical models are common and simplification techniques are often applied.