are derived in terms of

USAGE SUMMARY

The phrase "are derived in terms of" is correct and usable in written English.
It can be used in contexts where you are explaining how one concept or quantity is expressed or calculated based on another. Example: "The equations for the motion of the pendulum are derived in terms of the length and the angle of displacement."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

These sufficient conditions are derived in terms of linear matrix inequality (LMI).

Applied Mathematics and Computation

The corresponding design conditions are derived in terms of linear matrix inequalities.

Information Sciences

The corresponding sufficient delay-dependent conditions are derived in terms of linear matrix inequalities (LMIs).

Neurocomputing

Several criteria for this problem are derived in terms of linear matrix inequalities.

Nonlinear Analysis: Hybrid Systems

Design formulas are derived in terms of gain-margin and phase-margin specifications.

ISA Transactions

The stabilization criteria are derived in terms of linear matrix inequalities.

Systems & Control Letters

The governing equations for specifying meridian profiles are derived in terms of the slippage coefficient.

Composite Structures

Sufficient conditions are derived in terms of a set of linear matrix inequalities.

Journal of the Franklin Institute

The mathematical equations are derived in terms of symmetric tensors simplifying the constitutive relations.

Mechanics of Materials

Sufficient conditions for the exponential stabilization are derived in terms of Linear Matrix Inequalities (LMIs).

Automatica

Conditions for exponential stability of system states are derived in terms of controller parameters.

Chaos, Solitons & Fractals

Expert writing Tips

Best practice

When using "are derived in terms of", ensure that the relationship between the derived concept and the terms is clearly and logically presented for clarity and understanding.

Common error

Avoid vague or ambiguous relationships. Ensure the terms used in the derivation are well-defined and that the connection to the derived concept is explicit. For instance, instead of saying "results are derived in terms of parameters", specify which parameters and how they influence the results.

Linguistic Context

The phrase "are derived in terms of" functions as a verbal phrase indicating a relationship where certain results, formulas, or conditions are obtained or expressed using specific variables or parameters. As Ludwig AI indicates, it's a common and correct English phrase.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "are derived in terms of" is a grammatically sound and frequently used expression, primarily found within scientific and technical writing. As Ludwig AI confirms, the phrase serves to elucidate how particular results, formulas, or conditions are expressed or obtained using specific variables or parameters. The phrase's formality is reflected in its prevalence in scientific contexts, where precision is paramount. When using this phrase, be mindful to articulate the relationship between the derived concept and its constituent terms clearly. Common errors involve lack of clarity, so ensure the terms used are well-defined and the connection to the derived concept is explicit. Consider alternatives such as "are expressed using" or "are formulated in terms of" depending on the specific nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

are a function of

States that something depends on or is determined by other factors.

are formulated in terms of

Highlights the creation of a formulation rather than the process of deriving it.

are determined by means of

Focuses on the tools or methods used for determination.

are expressed using

Emphasizes the use of specific expressions rather than a formal derivation.

are calculated from

Specifically refers to a calculation process.

are defined by

Focuses on how something is defined, rather than its derivation.

are obtained from

Indicates the source from which something is obtained, not necessarily derived.

are based on

Highlights the foundation or basis of something.

are contingent upon

Focuses on dependence or conditions.

are related to

Shows a relationship or connection without implying derivation.

FAQs

How can I use "are derived in terms of" in a sentence?

Use "are derived in terms of" to explain how formulas, results, or conditions are obtained or expressed using specific variables or parameters. For example, "The equations are derived in terms of pressure and volume."

What does it mean when something "is derived in terms of" something else?

It means that the first thing is expressed or calculated based on the second thing. It indicates a mathematical or logical relationship where one is obtained or defined using the other.

What are some alternatives to "are derived in terms of"?

You can use alternatives like "are expressed using", "are formulated in terms of", or "are defined by" depending on the context.

How is "are derived in terms of" different from "are based on"?

"Are derived in terms of" implies a more direct mathematical or logical derivation, while "are based on" suggests a foundational relationship without necessarily involving a step-by-step derivation process.