which integrates to

USAGE SUMMARY

The phrase "which integrates to" is correct and usable in written English.
It can be used in mathematical or technical contexts to describe a function or expression that, when integrated, yields a specific result. Example: "The function f(x) = 2x integrates to x^2 + C, where C is the constant of integration."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

which integrates to yield (26). where D 1 is an arbitrary constant.

Nanoscale Research Letters

Presently, finite element method solves pressure distribution which integrates to give fluid film forces and moments.

Tribology International

Since the last integrand in (A.6) is a multivariate normal density which integrates to unity, then we get (A7).

EURASIP Journal on Audio, Speech, and Music Processing

The method is used here to determine the optimal cooling rate profile, which integrates to give the optimum temperature profile, for a batch crystallization process.

Journal of Process Control

The Cp′ CH protons occur as four resonances at δ(H =6.44, 6.15, 5.07, and 4.85 ppm, each of which integrates to six protons.

Angewandte Chemie - International Edition

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

The structure of 1 is constructed from two distinct motifs, a body-centered [Ge9O18(OH)4] cluster and a cadmium complex [Cd2(C2N2H8)3O6], which integrate to generate a 3D architecture with neutral framework.

Microporous and Mesoporous Materials

The possibility of adjusting the integration period in the calculation in the sphere module is intended to remove the problem for daughter products with long half-lives, such as 221At, which has a half-life of 7.21 h, and a daughter product of 207Bi, which has a half-life of 32.9 years, and for which integrating to infinity would probably not be realistic.

EJNMMI Research

Methylisocitrate lyase cleaves methylisocitrate into succinate and pyruvate which integrate to the TCA cycle.

BMC Systems Biology

23 The H NMR spectrum of [Li(thf 4]2[ 3]⋅thf, recorded 30 min after sample preparation in [D8]thf at 298 K (Supporting Information, Figure S6), features two resonances at δ(H =6.71 and 6.80 ppm, both of which integrate to three protons and correspond to two types of mesityl meta CH environments.

Angewandte Chemie - International Edition

To remedy these shortcomings, this article presents a fusion-based contrast-enhancement technique which integrates information to overcome the limitations of different contrast-enhancement algorithms.

EURASIP Journal on Image and Video Processing

From the perspectives of statistical computation and data mining, Ye et al. [94] presented an architecture of the services platform which integrates R to provide better data analysis services, called cloud-based big data mining and analyzing services platform (CBDMASP).

Journal of Big Data

Expert writing Tips

Best practice

When using "which integrates to", ensure that the context clearly defines what elements are being combined and what the resulting outcome is. This is particularly important in technical and scientific writing where precision is key.

Common error

Avoid using "which integrates to" when the intention is to describe something that is being broken down or differentiated, rather than combined. Integration implies a joining or merging of components, not their separation.

Linguistic Context

The phrase "which integrates to" functions as a relative clause indicating that the subject combines with something else to form a whole. This is common in describing systems, processes, or mathematical operations, as Ludwig examples show.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

20%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "which integrates to" is a grammatically correct relative clause used to describe how elements combine to form a cohesive result. According to Ludwig, this phrase is most frequently found in scientific and formal contexts, highlighting its suitability for technical and academic writing. When using "which integrates to", ensure clarity in defining the components being combined and the resulting outcome. Consider alternatives like "which combines into" or "which results in" to refine the nuance of your writing. Although grammatically sound and usable, this phrase is not as widespread as its alternatives.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

which combines into

Emphasizes the merging of elements into a unified whole.

that merges into

Highlights the blending of separate entities.

which fuses into

Suggests a strong union or bond forming a single entity.

that converges to

Implies different elements coming together at a common point.

which culminates in

Indicates the final result or outcome of a process.

that adds up to

Focuses on the accumulation leading to a total or sum.

which results in

Shows a cause-and-effect relationship, where one thing leads to another.

that contributes to

Highlights the contribution of something to a larger outcome.

which synthesizes into

Implies a process of combining different elements to create something new.

that simplifies to

Suggests a reduction or condensation to a more basic form.

FAQs

How can I use "which integrates to" in a sentence?

This phrase is used to describe how different elements or components combine to form a cohesive whole or a specific outcome. For example, "The new software system, which integrates to the existing database, will improve data management".

What are some alternatives to "which integrates to"?

You can use alternatives like "which combines into", "that merges into", or "which results in" depending on the specific nuance you want to convey.

In what contexts is "which integrates to" most appropriate?

This phrase is commonly used in technical, scientific, and formal contexts where describing the combination or merging of elements is necessary. It's suitable for explaining systems, processes, or functions that combine different parts to achieve a specific result.

Is there a difference between "which integrates to" and "which integrates with"?

"Which integrates to" describes the resulting outcome of combining elements, whereas "which integrates with" describes the compatibility or connection between systems or components. For example, "The software integrates to a unified platform" versus "The software integrates with other applications".