modulus was derived

USAGE SUMMARY

The phrase "modulus was derived" is correct and usable in written English.
It can be used in mathematical or scientific contexts to indicate that a modulus has been calculated or obtained from a certain process or formula. Example: "In our calculations, we found that the modulus was derived from the initial parameters of the equation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

The stress was calculated as the force applied divided by the cross-sectional area of the helix, while the Young's modulus was derived from the slope of the stress strain diagram after linear regression fitting.

Nature

With the Brazilian test method, the quantity-relationship between the displacement and the elastic modulus was derived.

Cold Regions Science and Technology

Using deformation energy equilibrium between sum of individual fibers and the plate of nano-fibrous scaffold, the scaffold effective modulus was derived explicitly.

Journal of the Mechanical Behavior of Biomedical Materials

Mathematical model to describe the change of monolith permeability as a function of monolith compression modulus was derived and successfully validated for monoliths of different geometries and pore sizes.

Journal of Chromatography A

A new concept named Catalyst Modulus was derived from the kinetic equations and then verified with experimental data; the fit of this parameter was very high, thus, pointing out the validity of the model.

Chemical Engineering Science

The relationship between the measured yield stresses and the dynamic modulus was derived and the implications of the correlation are discussed.

International Journal of Concrete Structures and Materials

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Design sensitivity expressions with respect to thermal conductivity and Young's modulus are derived.

Finite Elements in Analysis and Design

Explicit formulae for the mass density tensor and bulk modulus are derived in terms of the transformation function.

Journal of Sound and Vibration

The modulus is derived by means of a strain energy approach founded on micromechanics.

Composites Part B: Engineering

The overall bulk modulus is derived in a simple form, based on the construction of neutral composite sphere.

International Journal of Solids and Structures

We then apply the proposed general methods to the specific case of nanocomposites with monodisperse spherical inclusions, for which a lower bound on the bulk modulus is derived.

Computational Materials Science

Expert writing Tips

Best practice

When using "modulus was derived", ensure the context clearly explains the method or formula used to derive the modulus. This adds clarity and strengthens the scientific rigor of your writing.

Common error

Avoid using "modulus was derived" without specifying the method or data used. Omitting this information can make your statement vague and less convincing. Always provide sufficient context for your readers.

Linguistic Context

The phrase "modulus was derived" functions as a passive construction, indicating that the modulus is the recipient of the action. It highlights that a modulus value has been obtained through a specific process or calculation. Ludwig AI supports this interpretation.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Unknown

0%

Ludwig's WRAP-UP

The phrase "modulus was derived" is a passive construction primarily used within scientific contexts to indicate that a modulus value has been obtained through a specific calculation or process. As Ludwig AI confirms, it's grammatically correct and suitable for formal, technical writing. While synonyms like "calculated", "obtained", and "determined" exist, "derived" often implies a more complex or formulaic derivation process. When using this phrase, ensure the context clearly explains the method used. Given its limited frequency, careful consideration of alternative phrasing may enhance clarity for a broader audience.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

modulus was calculated

Changes the action from 'derived' to 'calculated', implying a more direct computational process.

modulus was obtained

Replaces 'derived' with 'obtained', suggesting the modulus was acquired through a process.

modulus was determined

Substitutes 'derived' with 'determined', indicating a more definitive finding of the modulus.

modulus was deduced

Uses 'deduced' instead of 'derived', implying a logical inference to arrive at the modulus.

modulus was inferred

Changes 'derived' to 'inferred', suggesting the modulus was concluded based on available data.

the modulus is derived

Shifts from past to present tense, indicating a general method rather than a specific instance.

the modulus is computed

Uses present tense and 'computed' suggesting an ongoing calculation method.

the modulus is formulated

Employs 'formulated' indicating the modulus is expressed in a specific form or equation.

a formula for the modulus was derived

Rephrases to emphasize the formula used to derive the modulus.

the method to derive the modulus

Focuses on the methodology used to obtain the modulus value.

FAQs

How is "modulus was derived" typically used in a sentence?

The phrase "modulus was derived" is used to indicate that a modulus value has been obtained through a specific calculation or process. For example, "The Young's modulus was derived from the stress-strain curve".

What's the difference between "modulus was derived" and "modulus was calculated"?

While both phrases suggest obtaining a modulus value, "modulus was derived" often implies a process involving formulas or models, whereas "modulus was calculated" suggests a more direct computational approach. You can use alternatives like "modulus was calculated".

Can I use "modulus was derived" in non-scientific contexts?

While technically correct, "modulus was derived" is most appropriate in scientific and mathematical contexts where moduli are commonly used. Using it elsewhere might sound overly formal or out of place.

What are some synonyms for "modulus was derived"?

Depending on the context, synonyms include "modulus was obtained", "modulus was determined", or "modulus was deduced". Consider what aspect of the derivation you want to emphasize when choosing a substitute. You can use alternatives like "modulus was obtained".