we have derived

USAGE SUMMARY

The phrase "we have derived" is correct and usable in written English.
It can be used when discussing conclusions, results, or findings that have been reached through analysis or calculation. Example: "After extensive research, we have derived a new formula that improves efficiency in our processes."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Thus, we have derived the simplified ''allpass rule" for real analog filters.

Stanford University

This statistic is robust to outliers and we have derived results about the asymptotic behavior.

University of California, Berkeley

It has advantages worth considering, which will become clear after we have derived conventional ladder digital filters below.

Stanford University

We have derived an expression describing the dependence of this ratio on the tilt angle.

Electrochimica Acta

Furthermore, we have derived the frequency weighting based on the VPAD of the soft tissue.

Journal of Sound and Vibration

We have derived exact dispersion relation by considering MO effects for all three layers.

Optik - International Journal for Light and Electron Optics

We have derived a new predictor for fatigue crack nucleation in rubber.

Journal of the Mechanics and Physics of Solids

We have derived a pharmacophore model with the help of available DNMT1 inhibitors.

Journal of Molecular Graphics and Modelling

To accelerate this process, we have derived peptides that form heterospecific PPIs when combined.

Journal of Molecular Biology

We have derived a versatile gene-based test for genome-wide association studies (GWAS).

The American Journal of Human Genetics

We have derived our motivation for building such a system design from behavioral finance research.

Decision Support Systems

Expert writing Tips

Best practice

When using "we have derived", ensure you clearly state the basis or method from which the derivation was made. For example, "We have derived this equation from the principles of thermodynamics."

Common error

Avoid claiming a completely new derivation if the result is only a slight modification of existing work. Acknowledge prior research and clearly state the specific contribution of your derivation.

Linguistic Context

The phrase "we have derived" functions as a declarative statement to indicate that a conclusion, result, or equation has been obtained through a systematic process of reasoning or calculation. As Ludwig AI points out, this is often used in contexts where logical steps and evidence support the finding.

Expression frequency: Very common

Frequent in

Science

60%

Academia

30%

Formal & Business

5%

Less common in

News & Media

3%

Encyclopedias

1%

Reference

1%

Ludwig's WRAP-UP

In summary, the phrase "we have derived" is a formal expression, frequently used in academic and scientific writing to introduce a conclusion or result reached through logical deduction or systematic analysis. As Ludwig AI highlights, its grammatical correctness and common usage in authoritative sources make it a reliable choice for conveying well-supported findings. When using this phrase, be mindful to provide clear context regarding the method or data from which the result was derived to ensure clarity and avoid overstating the novelty of the derivation. Alternatives such as "we have deduced", "we have concluded", or "we have obtained" can be considered depending on the specific nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

we have deduced

Replaces "derived" with "deduced", emphasizing a logical inference based on available information.

we have concluded

Substitutes "derived" with "concluded", indicating a judgment or decision reached after consideration.

we have determined

Replaces "derived" with "determined", stressing the act of finding something out definitively as a result of investigation or calculation.

we have obtained

Uses "obtained" instead of "derived", focusing on the act of acquiring or gaining something through effort or process.

we have established

Replaces "derived" with "established", highlighting the act of proving or demonstrating something to be true.

we have inferred

Uses "inferred" instead of "derived", highlighting the drawing of a conclusion based on evidence and reasoning.

we have formulated

Replaces "derived" with "formulated", emphasizing the creation or development of a plan, strategy, or concept.

we have developed

Substitutes "derived" with "developed", indicating a gradual process of growth or advancement.

we have extracted

Replaces "derived" with "extracted", focusing on obtaining something from a source.

we have ascertained

Uses "ascertained" instead of "derived", emphasizing the act of finding something out for certain.

FAQs

How can I use "we have derived" in a sentence?

Use "we have derived" to indicate that you have reached a conclusion or obtained a result through a process of reasoning, calculation, or analysis. For example: "Using this data, "we have derived" a new model."

What's the difference between "we have derived" and "we have concluded"?

"We have derived" typically implies a more rigorous, step-by-step process, often involving calculations or logical deductions. "We have concluded", on the other hand, suggests a judgment or decision has been reached after considering various factors or evidence. Consider alternatives such as "we have deduced" or "we have inferred" depending on the nuance you want to convey.

What are some alternatives to "we have derived"?

Depending on the context, you can use alternatives such as "we have obtained", "we have determined", or "we have concluded".

Is "we have derived" formal or informal language?

"We have derived" is generally considered formal language, suitable for academic, scientific, or professional contexts. It's less common in informal conversation. Alternatives in less formal scenarios would be something like: "we figured out".