derived equation

USAGE SUMMARY

The phrase "derived equation" is correct and can be used in written English.
It is commonly used in scientific and mathematical contexts to refer to an equation that has been obtained or derived from other equations or principles. Example: The engineer presented a series of derived equations to explain the relationship between pressure and volume in the gas tank.

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

58 human-written examples

A theoretically derived equation shows that this relationship stems from the partially opposing climate effects of oceanic uptake of heat and carbon.

Nature

The derived equation is based on an average momentum and mass balance within the cavity.

International Journal of Engineering Science

The derived equation is validated by simulations and experimental tests performed for the ANC earmuff system.

Applied Acoustics

The derived equation combined with the output feedback optimal control theory, is adopted.

Journal of Wind Engineering and Industrial Aerodynamics

The derived equation turns out to be validated by comparing the experimental results with numerical data.

Vacuum

The comparison among the inclinations of the interslice resultant force obtained by the numerical simulation, our derived equation and assumed values of other slice methods shows that our derived equation provides the best match with the simulation results.

Engineering Geology

We apply conformal solution theory and extend to mixtures a recently derived equation of state for glass-forming liquids.

Fluid Phase Equilibria

The theoretically derived equation was fitted to the experimental values by adjusting diffusion coefficients.

Chemical Engineering Science

In clean sands, the derived equation is reduced to the Archie Dahnov equation.

Journal of Petroleum Science and Engineering

Human-verified similar examples from authoritative sources

Similar Expressions

2 human-written examples

Inductively derived, equation-based models are more amenable to execution on sequential machines because of their high degree of abstraction from the particulars of the referent mechanisms.

BMC Systems Biology

NHEJ frequencies were calculated using the binomial-derived equation: % gene modification= ; where the values of 'a' and 'b' are equal to the integrated area of the cleaved fragments after background subtraction and 'c' is equal to the integrated area of the un-cleaved PCR product after background subtraction44.

Nature

Expert writing Tips

Best practice

When using the phrase "derived equation", ensure that the context clearly indicates the source or method of derivation to enhance clarity and credibility.

Common error

Avoid using "derived equation" without providing sufficient context about the underlying principles or steps involved in its derivation. Failing to do so can make your explanation less convincing or harder to follow.

Linguistic Context

The phrase "derived equation" functions as a noun phrase, where "derived" acts as an adjective modifying the noun "equation". It identifies a specific type of equation that has been obtained through a process of deduction or calculation. As seen in Ludwig's examples, this phrase is used to introduce or reference equations developed through specific methods.

Expression frequency: Very common

Frequent in

Science

95%

Academia

3%

Formal & Business

1%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "derived equation" is a frequently used phrase, as confirmed by Ludwig, primarily within scientific and academic contexts. It signifies an equation obtained through deduction or calculation. To enhance clarity, always provide context about the derivation process. Avoid oversimplifying the explanation, and remember, while alternatives like "obtained equation" and "formulated equation" exist, the choice depends on the specific nuance you wish to convey. Always indicate if the formula is "theoretically derived formula" or "empirically derived formula" to be more specific.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

determined equation

Stresses the establishment or ascertainment of the equation.

resulting equation

Focuses on the equation as the outcome of a process.

obtained equation

Focuses on the act of gaining or acquiring the equation, rather than the process of its creation.

deduced equation

Emphasizes the logical reasoning used to arrive at the equation.

formulated equation

Highlights the process of precisely expressing the equation in a specific form.

established equation

Highlights the equation's validity and acceptance.

equation obtained through derivation

This alternative emphasizes the derivation process more explicitly.

calculated equation

Emphasizes the computational aspect of arriving at the equation.

theoretically derived formula

This alternative specifies that the equation was derived from theory, not experimental data.

empirically derived formula

This alternative specifies that the equation was derived from experimental data, not theory.

FAQs

How can I use "derived equation" in a sentence?

The phrase "derived equation" is typically used to describe an equation that has been obtained through a series of logical or mathematical steps. For example: "The paper presents a newly "derived equation" for calculating the energy consumption of the system."

What does "derived equation" mean?

A "derived equation" is an equation that has been developed or obtained from other known equations or principles. It implies a process of deduction or manipulation to arrive at the final form.

Is there a difference between a "derived equation" and an "empirical equation"?

Yes, a "derived equation" is obtained through mathematical or logical deduction from existing theories or equations, while an "empirical equation" is based on experimental observations and data fitting, without necessarily having a theoretical basis.

What are some alternatives to "derived equation"?

Depending on the context, you could use alternatives like "obtained equation", "calculated equation", or "formulated equation" to convey a similar meaning.