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as derived by
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as derived by" is correct and usable in written English.
It can be used to indicate the source or method by which something has been obtained or calculated. Example: "The results of the experiment were presented as derived by the researchers from the collected data."
✓ Grammatically correct
Science
Encyclopedias
News & Media
Alternative expressions(20)
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
58 human-written examples
The expression as derived by Mott for conductivity is as follows: sigma = sigma_{oh} exp ( - T_{0} /T)^{0.25}.
Previous attempts have required complex simulations which model the dynamics of each cortical region, and explore the coupling between regions as derived by anatomic connections.
Science
The peak (QP) and time to peak (TP) of the direct surface runoff hydrographs of observed and as derived by the GGIUH model for the map scales 1 250,000 and 1 50,000 are shown in Table 5.
Science
In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on some new difference sequence spaces (X r,s,t Delta )) where (Xin{l_{infty}, c, c_{0},l_{p}}) ((1leq{p}<infty)), as derived by using generalized means.
Eleven of the 12 loci showed the same trend of histone modifications as derived by ChIP-chip assays (Table S2 and Figure 5C).
Science
(B ) Hierarchical clustering of GSTF pairs selected based on similarity in DNA binding, represented as in A. GSTF pairs marked with a solid circle also exhibit a genetic interaction as derived by growth on agar plates [11].
Science
Meanwhile, catastrophic health expenditure, as derived by Xu et al. [ 10], is defined as health expenditure that is 40% greater than the ability of the household to pay [ 10].
Science
Consequently, investigators believe that the formation function, as derived by Salpeter, is a reasonable representation of the distribution of star luminosities at the time of formation, even though they are not certain that the assumption of a uniform rate of formation of stars can be precisely true or that the rate is uniform throughout a galaxy.
Encyclopedias
The parameters and take into account material-related parameters (,,, and ) as derived by (7) and (8).
The maximum coverage of Te(0) is around 0.4 ML, as derived by XPS and LEED.
Science
We empirically test for the optimal choice of minimum note duration as derived by the harmonicity parsing.
Expert writing Tips
Best practice
When using "as derived by", ensure that the source or method you are referencing is clearly identifiable and credible to strengthen your argument.
Common error
Avoid using "as derived by" without explicitly stating who or what method derived the information. Ambiguity can weaken the credibility of your statement.
Source & Trust
81%
Authority and reliability
4.6/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as derived by" functions as a prepositional phrase used to attribute a result, method, or conclusion to a specific source. As Ludwig AI confirms, it is used to indicate the origin of something, clearly establishing where a particular piece of information or outcome comes from.
Frequent in
Science
82%
Encyclopedias
3%
News & Media
2%
Less common in
Formal & Business
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "as derived by" is a valuable phrase for attributing information and methodologies to their sources. As verified by Ludwig AI, it is grammatically correct and most frequently used in scientific and academic contexts. To ensure clarity and credibility, always specify the source or method being referenced. Remember that while alternatives exist, "as derived by" distinctly emphasizes the process of derivation. By providing context and authority, this prepositional phrase is useful in formal writing.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as determined by
Focuses on the act of finding something out through investigation or calculation.
as obtained from
Emphasizes the source from which information or results were received.
as calculated by
Specifically refers to a mathematical or computational process.
as inferred from
Highlights that the information was deduced through reasoning.
as established by
Suggests something has been proven or confirmed through evidence.
as shown by
Indicates that something is made apparent through a demonstration or visual representation.
as ascertained by
Highlights that the information was discovered with certainty.
as deduced from
Emphasizes the logical reasoning used to arrive at a conclusion.
as concluded by
Refers to a judgement or decision reached after consideration.
originating from
Focuses on the origin or source of something, rather than the method of derivation.
FAQs
How can I use "as derived by" in a sentence?
Use "as derived by" to attribute a calculation, conclusion, or result to a specific source or method. For instance, "The formula, as derived by Einstein, revolutionized physics."
What are some alternatives to "as derived by"?
You can use alternatives like "as determined by", "as obtained from", or "as calculated by" depending on the context.
Is it better to say "as derived by" or "derived from"?
"As derived by" explicitly names the originator or method, while "derived from" focuses on the source material. "As derived by Newton" is more specific than "derived from calculus".
When should I use "as derived by" instead of "according to"?
"As derived by" is suitable when referring to a specific calculation, derivation, or process, whereas "according to" is more general and applies to statements, opinions, or general information.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.6/5
Expert rating
Real-world application tested