Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
derivation as
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "derivation as" is correct and usable in written English.
It can be used in contexts where you are discussing the process or method of deriving something, often in academic or technical writing. Example: "The derivation as outlined in the previous section demonstrates the fundamental principles of calculus."
✓ Grammatically correct
Science
News & Media
Encyclopedias
Alternative expressions(4)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
48 human-written examples
It has been recently demonstrated through mathematical derivation as well as numerical studies that the fundamental mode shape and its derivatives show excellent performance in localizing damage of buildings.
We also explore the possibility of using tool support to administer the derivation, as well as to assist in correctness proofs.
It includes the analytical solution of the discrete (exact) problem and the derivation, as well as, the solution of the continuous, discrete continuous and corrected continuous (approximate) models.
Science
The direct proof of, say, "φ 714)" (i.e., without 713 iterations of modus ponens) "cannot have a still better proof, say, by my carrying out the derivation as far as this proposition itself" (PR §165).
Science
These include the conventional approach for ideal gas and its derivation, as well as a reference approach from the literature that was previously applied to model a sc-CO2 test compressor.
1991 data were not used in this derivation as by then most of the men we consider were not working.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
12 human-written examples
Required modifications, derivations, as well as possible improvements are presented.
The power spectra of two referential derivations, as well as of bipolar derivations along the antero-posterior axis over the left and right hemispheres, were analyzed.
He was taking his students through the derivations as early as 1951, and he summarises Łukasiewicz's system in the final chapter of The Craft.
Science
They represent subduction-related, theoleiitic and calc-alkaline magmatic rocks and their concomitant sedimentary derivations as well as minor continental shelf calcareous sediments.
We thus summarize the various approaches as approximations or modifications of the same Bayesian decoding rule leading to a unified view on known derivations as well as to new formulations for certain approaches.
Expert writing Tips
Best practice
When using "derivation as", ensure that the context clearly indicates what is being derived and the basis for the derivation. This helps maintain clarity and avoids ambiguity.
Common error
Avoid implying direct causation or necessity when using "derivation as". The phrase indicates a relationship or influence, not necessarily a guaranteed outcome. Ensure you have evidence to support the strength of the connection you are describing.
Source & Trust
79%
Authority and reliability
4.2/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "derivation as" primarily functions as a connective element indicating a relationship of origin or a process of obtaining something. It links a concept or result to its source or method, clarifying the basis upon which it is established, as Ludwig AI states.
Frequent in
Science
60%
News & Media
20%
Encyclopedias
10%
Less common in
Formal & Business
5%
Wiki
5%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "derivation as" is a grammatically correct and commonly used connective, particularly within scientific and academic contexts. It serves to explain the origin or method by which something is obtained, linking a concept to its source. While generally formal, its appropriate use ensures clarity and contextual understanding. Ludwig AI confirms that "derivation as" is suitable for describing processes and origins, making it a valuable tool in technical and expository writing.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
deduction as
Replaces "derivation" with "deduction", focusing on the logical process of reaching a conclusion.
inference as
Substitutes "derivation" with "inference", highlighting the act of drawing conclusions from evidence.
origination as
Replaces "derivation" with "origination", emphasizing the source or beginning of something.
evolution as
Substitutes "derivation" with "evolution", focusing on the development and change over time.
development as
Replaces "derivation" with "development", highlighting the gradual process of growth or advancement.
construction as
Substitutes "derivation" with "construction", focusing on the building or creation of something.
formulation as
Replaces "derivation" with "formulation", emphasizing the creation of a precise and systematic statement.
calculation as
Substitutes "derivation" with "calculation", highlighting the mathematical process of obtaining a result.
reasoning as
Replaces "derivation" with "reasoning", emphasizing the logical thought process involved.
genesis as
Substitutes "derivation" with "genesis", focusing on the origin or creation of something, often in a more abstract sense.
FAQs
How can I use "derivation as" in a sentence?
Use "derivation as" to describe how something originates or is obtained from a source. For example, "The colonial image of what constituted "Australia" at the onset of white invasion was as much of a fictive "derivation as" Stubbs' interpretations of Sydney Parkinson's own culturally skewed sketches of Australian fauna."
What are some alternatives to "derivation as"?
Alternatives include phrases like "deduction as", "inference as", or "origination as", depending on the specific nuance you want to convey. Each emphasizes a slightly different aspect of the process.
Is "derivation as" grammatically correct?
Yes, "derivation as" is grammatically correct and commonly used, particularly in academic and technical writing, to explain how something is derived or originates.
What's the difference between "derivation as" and "extraction as"?
"Derivation as" typically refers to a process of obtaining something through reasoning or calculation, while "extraction as" refers to physically removing something from a source. The choice depends on whether the process is intellectual or physical.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
79%
Authority and reliability
4.2/5
Expert rating
Real-world application tested