how they were derived

USAGE SUMMARY

"how they were derived" is correct and can be used in written English.
For example, "We need to understand how the conclusions were derived in order to make informed decisions."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

But numbers can be misleading, especially if you don't know how they were derived.

The Guardian - Opinion

UnitedHealth disputes those numbers, so the attorney general will need to offer a fuller explanation of how they were derived.

The New York Times

Users must understand what the functions show, how they were derived, their limitations and applicability.

Journal of Applied Volcanology

Leśniewski would enter the lecture room with a briefcase stuffed with papers, root around, find where he had got to and carry on, writing formulas and explaining how they were derived.

SEP

The generated models are automatically documented such that it is always apparent how they were derived from the master model, thereby keeping track of model alternatives.

Plosone

Our results demonstrate that hiPSC, regardless of how they were derived, can differentiate into a spectrum of rostrocaudal neurons with functionality, which supports the considerable value of hiPSC for study and treatment of patient-specific neural disorders.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

44 human-written examples

I will discuss in detail how they are derived and the sources of bias and uncertainty in determining their shape.

Harvard University

And the fee schedules are so complicated and confusing that merchants often don't know what the fees will be or how they are derived.

The New York Times

The descriptors that we used in this study and how they are derived from chemical structure.

Chemistry Central Journal

Scoring functions for molecular docking can be grouped into three major classes according to how they are derived: force field-based, empirical, and knowledge-based.

Biophysics Reports

At the same time, it delivers a straight shot of real Mexican flavors without being pedantic about the fine print of how they're derived.

Los Angeles Times

Expert writing Tips

Best practice

When using the phrase "how they were derived", ensure you provide sufficient context so that the reader understands what 'they' refers to. Clarity is key.

Common error

While "how they were derived" is grammatically correct, avoid overusing passive voice in your writing. Sometimes, rephrasing to active voice can make your writing more direct and engaging.

Linguistic Context

The phrase "how they were derived" functions as a relative clause, typically used to provide additional information or explanation about the origin or source of something. As confirmed by Ludwig, the expression is grammatically sound and suitable for use in formal writing.

Expression frequency: Common

Frequent in

Science

60%

News & Media

20%

Academia

20%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "how they were derived" is a grammatically sound and commonly used phrase that serves to inquire about or explain the origin or source of something. As Ludwig AI confirms, the phrase is appropriate for formal writing and is often found in scientific, academic, and news contexts. When using this phrase, it's important to provide enough context to ensure clarity and avoid overuse of the passive voice. Consider alternatives such as "how they originated" or "how they came about" for stylistic variation. The phrase finds frequent usage in "Science", "News & Media" and "Academia" with lower usage in other contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

how they originated

Replaces 'derived' with 'originated', focusing on the point of origin rather than the process.

how they came about

Uses a more informal and general term 'came about' instead of 'derived'.

how they were obtained

Focuses on the method of acquisition rather than the derivation process.

how they were deduced

Implies a logical deduction or reasoning process.

how they were created

Emphasizes the creation process, suitable when referring to something newly formed.

how they were formed

Highlights the process of formation or assembly.

how they were achieved

Emphasizes the accomplishment or attainment of the result.

the process of their derivation

Nominalizes the phrase, shifting focus to the derivation process itself.

the methodology behind them

Focuses on the methodology used to produce the result.

their source

Shortened phrase focusing on the origin or source.

FAQs

What does "how they were derived" mean?

The phrase "how they were derived" refers to the method or process by which something was obtained, developed, or created from an original source or set of principles.

How can I use "how they were derived" in a sentence?

You might say, "The report explains "how the estimates were derived" and what they mean clinically".

What are some alternatives to "how they were derived"?

Alternatives include "how they originated", "how they came about", or "how they were obtained", depending on the specific context.

Why is it important to know how something was derived?

Understanding how something was derived is crucial for assessing its validity, reliability, and potential biases. It allows for informed evaluation and decision-making.