derived assuming that

USAGE SUMMARY

The phrase "derived assuming that" is correct and usable in written English.
It can be used in contexts where you are discussing conclusions or results that are based on certain assumptions. Example: "The results of the experiment were derived assuming that all variables remained constant throughout the process."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

32 human-written examples

A lithologic log can be derived assuming that the velocity changes are related to material variations.

Journal of Applied Geophysics

Our main results are derived assuming that the channel is located between the controller and the plant.

Automatica

A simple analytical expression was derived assuming that the kinetic energy of the striking vessel was dissipated by the plastic elongation of pipes and rotation of plastic hinges.

Ocean Engineering

The initial XRCF correction (i.e., the correction used to calculate the HRMA effective area prior to Calibration Database (CALDB) 4.1.1) was derived assuming that there was no molecular contamination on the mirrors.

Harvard University

A theoretical model has been derived, assuming that the water flow can be treated as a film falling down in a corner.

Chemical Engineering Science

The equation of motion of the plate is derived assuming that the motion is antisymmetric about the mid-plane of the plate and that the plate is thin.

Journal of Sound and Vibration

Human-verified similar examples from authoritative sources

Similar Expressions

28 human-written examples

First, the so-called geometrical model was re-derived, assuming that the diffusion-controlled growth, according to the parabolic growth law, stops due to geometrical impingement of grains plus their diffusion fields.

Acta Materialia

Most of the known results on this problem are derived assuming only that the time-varying delay h ( t ) is a continuously differentiable function, satisfying some boundedness condition on its derivative: h ˙ ( t ) ≤ δ < 1.

Journal of Inequalities and Applications

All these studies have a common characteristic: the information supplied by the complementary correlation function is ignored, i.e., the results are derived assuming implicitly that the signal is proper (c t,s)=0).

EURASIP Journal on Advances in Signal Processing

The results are compared with an analytical model that was derived assuming a homogeneous distribution of the particles in the liquid film.

Chemical Engineering Science

Experimental results have been compared with the theoretical early lateral energy fractions and late lateral level, both of which are derived by assuming that reflected energy in these places of worship is solely dependent on source receiver distance.

Journal of Sound and Vibration

Expert writing Tips

Best practice

When using "derived assuming that", clearly state the assumptions being made to ensure transparency and allow readers to evaluate the validity of the derivation.

Common error

Avoid using "derived assuming that" without thoroughly considering the implications of the assumptions. Oversimplified or unrealistic assumptions can lead to inaccurate or misleading results.

Linguistic Context

The phrase "derived assuming that" functions as a connector, linking a conclusion or result to the underlying assumptions upon which it is based. It indicates a logical dependency, where the validity of the derivation is contingent on the truth of the stated assumptions. Ludwig AI confirms this phrase is appropriate for usage.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "derived assuming that" is a grammatically sound and scientifically relevant connector used to link a conclusion or result to its underlying assumptions. Ludwig AI indicates that is proper english and the analysis confirms it's most common in scientific and technical contexts, with an uncommon frequency. When using this phrase, it's crucial to explicitly state the assumptions to ensure transparency and enable critical evaluation. While alternatives like "obtained under the premise that" or "concluded on the basis that" exist, "derived assuming that" remains a clear and direct way to communicate the basis of a derivation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

obtained under the premise that

Replaces "derived" with "obtained" and "assuming" with "premise", emphasizing the foundational nature of the assumption.

concluded on the basis that

Substitutes "derived" with "concluded" and rephrases "assuming that" to highlight the reasoning process.

inferred given the condition that

Uses "inferred" instead of "derived" and specifies "condition" for a more formal tone.

determined with the understanding that

Emphasizes the "understanding" of an underlying assumption in the derivation.

ascertained based on the hypothesis that

Replaces "derived" with "ascertained" and frames the assumption as a "hypothesis".

established with the stipulation that

Introduces a formal tone indicating that something was "established" based on a condition, indicated as a "stipulation".

deduced contingent upon the fact that

Uses "deduced" to highlight the logical derivation and clarifies the assumption as a "fact".

formulated on the supposition that

Emphasizes the "formulation" of an idea or model based on a "supposition".

calculated under the provision that

Specifies that a "calculation" was performed based on a specific "provision".

resulted from the axiom that

Uses "resulted" to present the outcome and identifies the base assumption as an "axiom".

FAQs

How can I rephrase "derived assuming that" to sound more formal?

For a more formal tone, consider using alternatives such as "obtained under the premise that", "concluded on the basis that", or "ascertained based on the hypothesis that".

Is "derived assuming that" appropriate for scientific writing?

Yes, "derived assuming that" is commonly used in scientific writing to indicate that a conclusion or result is based on specific assumptions. Ludwig AI confirms the phrase as correct.

What is the difference between "assuming that" and "derived assuming that"?

"Assuming that" introduces a condition or premise, while "derived assuming that" indicates that a conclusion or result was reached based on those conditions.

When should I explicitly state the assumptions when using "derived assuming that"?

Always explicitly state the assumptions to ensure transparency and allow readers to evaluate the validity of your derivation. Clearly articulated assumptions are crucial for scientific rigor and replicability.