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Justyna Jupowicz-Kozak

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supplementary proof

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "supplementary proof" is correct and usable in written English.
It can be used when referring to additional evidence or documentation that supports a claim or argument. Example: "In order to strengthen our case, we will provide supplementary proof to validate our findings."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

The appearance of C O vibrations at 1100 1000 cm−1, belonging to –CH2OH from EA was a supplementary proof of salt formation.

The CGI scores and BfS scores were defined as secondary outcome measures and systematically reviewed for a supplementary proof.

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

These can be found in the supplementary documents Proof of NE in SQML and Proof of CBF in SQML.

Science

SEP

As τ→0, λ K →λ S and ϕ K →ϕ S. Since λ S is statistically consistent (see Supplementary Material for proof), λ K is statistically consistent as n k →��� and τ→0.

See the Supplementary Material for proofs of Lemma 1 and Theorem 1. Similarly to Theorem 1, we can show that any pairwise tree alignment that does not take joining nodes into account, can also be computed in this time.

If T generates F then for all samples p ∈ [ m ] and mutations j ∈ [ n ], (2) f p j ≥ ∑ v k ∈ δ (v j ) f p k. See the Supplementary Appendix for the proof of the sum condition.

With the feature notation, we define: (6) Assuming strong complementarity slackness, we obtain the following result (see Supplementary Material for detailed proof): T heorem 1 (7) (7) Therefore, if after the corrector step, (and its associated parameter ) must be added to the active set.

It is straightforward to show that for any multiset L of size m, it is always possible to obtain an ε-BTP with k = m − 1 auxiliary nodes (proof in Supplementary Appendix A.3). Also, when ε i = 0 for all 1 ≤ i ≤ m, a BTP exists for L if and only if the corresponding ε-BTP has a solution with k = 0 auxiliary nodes.

Contact: [email protected] Supplementary information: Some counterexamples, proofs of the results not included in this article, and some computational experiments are available at Bioinformatics online.

Section 3 details the mathematical basis for our algorithm and illustrates its application to proportional hazard models using Cox's partial likelihood as loss function (with further detailed proofs as Supplementary Material).

(For proof see the supplementary document Proof of the Falsification Theorem).

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Expert writing Tips

Best practice

When using "supplementary proof", ensure it genuinely adds value to the existing argument, rather than merely repeating information.

Common error

Avoid presenting "supplementary proof" as if it's the core evidence. It should always be understood as additional, not primary, support.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

78%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "supplementary proof" functions as a noun phrase that identifies additional substantiating information. According to Ludwig, it is considered grammatically correct and usable in written English, serving to strengthen existing claims.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "supplementary proof" is a grammatically sound and usable term, primarily found in scientific contexts. Ludwig indicates its role as providing additional evidence to bolster an existing argument. While not a frequently used phrase, it serves the purpose of adding credibility and assurance to the primary evidence. Alternatives such as "additional evidence" or "supporting evidence" may be used interchangeably depending on the specific nuance required. It's important to use "supplementary proof" judiciously, ensuring it genuinely enhances the argument without overshadowing the primary evidence.

FAQs

What does "supplementary proof" mean?

The phrase "supplementary proof" refers to additional evidence presented to support a claim or argument that has already been partially substantiated. It serves to reinforce existing points rather than introduce entirely new ones.

When should I use "supplementary proof" in my writing?

Use "supplementary proof" when you want to strengthen your argument with "additional evidence" without making it the central focus of your reasoning. It's useful for addressing potential counterarguments or providing further reassurance.

Is "supplementary proof" the same as primary evidence?

No, "supplementary proof" is not the same as primary evidence. Primary evidence forms the foundation of an argument, whereas "supplementary proof" acts as "supporting evidence" to bolster existing claims.

What are some alternatives to "supplementary proof"?

You can use alternatives like "additional evidence", "supporting evidence", or "corroborating evidence", depending on the specific nuance you want to convey.

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Source & Trust

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Authority and reliability

4.1/5

Expert rating

Real-world application tested

Most frequent sentences: