is thus derived

USAGE SUMMARY

The phrase "is thus derived" is correct and usable in written English.
It can be used to indicate that something has been obtained or concluded from a previous statement or source. Example: "The formula for calculating the area of a circle is thus derived from the relationship between the radius and the circumference."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

16 human-written examples

A parametric expression is thus derived for considered component failure rate.

Fusion Engineering and Design

And the corresponding approximate expression is thus derived for optimal operation.

Renewable Energy

A concise closed-form expression for the ideal filter transfer function is thus derived and discussed.

Journal of Sound and Vibration

A cumulative distribution function of load effect is thus derived, which can be combined with tornado climatology probabilities to determine load effects at a particular risk level.

Journal of Wind Engineering and Industrial Aerodynamics

By singular perturbations, an approximate nonlinear ODE system that captures the dominant (slow) dynamics of the PDE system is thus derived.

Journal of Process Control

An economic model is thus derived to guide such a sale; here the CDN requesting resources (buyer) and the CDN offering resources (seller) agree on the quantity and the price by means of a utility-based negotiation approach.

Future Generation Computer Systems

Human-verified similar examples from authoritative sources

Similar Expressions

44 human-written examples

Such a derivative equation was thus derived based upon the flash point prediction model referred to above and then verified by the application of experimentally-derived data.

Journal of Hazardous Materials

A set of heterohybridomas was thus derived, each of which represented a separate clonal derivative from the tumor cell population.

Stanford University

The effective elastic moduli of the material are thus derived.

International Journal of Solids and Structures

The effective diffusivity of the MMMs was thus derived from the concentration distributions.

Journal of Membrane Science

A variety of all-pentagon ring multi-cage structures (both opened and closed ones) were thus derived and their stability evaluated.

Diamond and Related Materials

Expert writing Tips

Best practice

Use "is thus derived" to clearly indicate that a conclusion, formula, or result logically follows from preceding information. This phrase adds formality and precision to your writing.

Common error

Avoid using "is thus derived" in casual or informal writing. It can sound overly formal or pretentious in contexts that don't require such precision. Opt for simpler alternatives like "so" or "therefore" in those cases.

Linguistic Context

The phrase "is thus derived" functions as a connector, specifically to indicate a logical consequence or deduction. Ludwig AI confirms its correctness. This phrase is commonly used to show that a statement, formula, or conclusion follows logically from preceding information.

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 "is thus derived" serves as a powerful connector in formal writing, particularly within scientific and academic contexts. Ludwig AI's analysis confirms its grammatical correctness and highlights its function in establishing logical connections between ideas. While versatile alternatives exist, such as "is consequently derived" or "is therefore derived", the key is to maintain clarity and precision in conveying the relationship between premises and conclusions. Remember to reserve this phrase for formal settings where its specific nuance of logical deduction is most appropriate.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is consequently derived

Replaces "thus" with "consequently", emphasizing the resultative nature of the derivation.

is therefore derived

Substitutes "thus" with "therefore", highlighting the logical inference.

is thereby derived

Replaces "thus" with "thereby", suggesting that the derivation happens as a direct result.

is hence derived

Uses "hence" in place of "thus", indicating a logical conclusion.

is accordingly derived

Replaces "thus" with "accordingly", showing the derivation is appropriate or suitable given the circumstances.

is as a result derived

Emphasizes the derivation as the outcome or effect of something.

is obtained in this way

Focuses on the method of obtaining the result, rather than the logical deduction.

is subsequently derived

Highlights the temporal sequence of the derivation.

is deductively derived

Emphasizes the deductive nature of the derivation.

is logically derived

Highlights the logical nature of the derivation

FAQs

How can I use "is thus derived" in a sentence?

The phrase "is thus derived" indicates that a conclusion or result logically follows from prior information. For example, "The equation for kinetic energy is thus derived from the principles of classical mechanics."

What are some alternatives to "is thus derived"?

Alternatives include "is consequently derived", "is therefore derived", or "is hence derived". The best choice depends on the specific nuance you wish to convey.

Is "is thus derived" appropriate for all types of writing?

While grammatically correct, "is thus derived" is most suitable for formal, academic, or scientific writing. It may sound overly formal in casual or informal contexts. Consider the tone and audience of your writing when deciding whether to use this phrase.

What is the difference between "is derived" and "is thus derived"?

While both phrases indicate a relationship where something originates from something else, "is thus derived" emphasizes a logical consequence or deduction. "Is derived" simply means something comes from something else, without necessarily implying a strict logical process.