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supplementary conditions

Grammar usage guide and real-world examples

USAGE SUMMARY

"supplementary conditions" is correct and is used in written English.
You can use it when describing or discussing the additional conditions of an agreement or contract. For example, "The supplementary conditions of the contract are outlined in the final section."

✓ Grammatically correct

Mathematical Sciences

Fixed Point Theory and Applications

Applied Soft Computing

Journal of Inequalities and Applications

Transportation Research Part E: Logistics and Transportation Review

Journal of Constructional Steel Research

Advances in Difference Equations

Composites Science and Technology

BMC Systems Biology

BMC Public Health

EURASIP Journal on Wireless Communications and Networking

Boundary Value Problems

Journal of Functional Analysis

Journal of Computational Physics

Earth, Planets and Space

Genome Biology and Evolution

Cell Death and Disease

IZA Journal of Labor Policy

Plosone

DNA Research

EMBO Journal

Bioscience Reports

Bioinformatics

DMM Disease Models and Mechanisms

ACS Chemical Biology

Cancer Immunology, Immunotherapy

Human-verified examples from authoritative sources

Exact Expressions

19 human-written examples

For the all examples, we consider the supplementary conditions from the exact solution.

With supplementary conditions, u ( x, 0 ) = 0, ∂u ∂t ( x, 0 ) = x.

Results about the existence of a fixed point and then its uniqueness under supplementary conditions are proved in those articles.

Proceeding as before, the existence and uniqueness of a common fixed points can be shown under some supplementary conditions, as stated in the following theorem.

Furthermore, supplementary conditions must be imposed to guarantee that any stationary point of these functions is a global minimum, since the gap functions is nonconvex [28].

Some results about the existence of a fixed point and then its uniqueness under supplementary conditions are proved in those articles.

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Human-verified similar examples from authoritative sources

Similar Expressions

41 human-written examples

So, condition (18) does not imply any supplementary condition on system parameters.

where f ( x ) is the unknown source and u ( x, 1 ) = g ( x ) is the supplementary condition.

where f ( x ) is the unknown source depending only on one spatial variable and u ( x, 1 ) = g ( x ) is the supplementary condition.

Suppose this supplementary condition is the existence of another entity, U. Then "T+U would appear to be the true and necessitating truth-maker for p" (2004: 7).

Science

SEP

For dim(X) ⩾ 2 (with a supplementary condition in the case dim(X) = 2, we show that this representation is irreducible and that the representations associated to different Riemannian flags are inequivalent.

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Expert writing Tips

Best practice

When using "supplementary conditions", clearly define and outline each condition to avoid ambiguity in contracts, agreements, or scientific studies.

Common error

Ensure that "supplementary conditions" are as specific and measurable as the main conditions. Vague supplementary details can lead to disputes or invalidate the original agreement.

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

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

84%

Authority and reliability

4.4/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "supplementary conditions" functions primarily as a noun phrase, acting as a subject or object in a sentence. It describes additional requirements, stipulations, or terms that are appended to an existing agreement or framework. According to Ludwig AI, this usage is considered correct in written English.

Expression frequency: Uncommon

Frequent in

Science

80%

Formal & Business

10%

Encyclopedias

3%

Less common in

News & Media

2%

Wiki

2%

Reference

3%

Ludwig's WRAP-UP

In summary, the phrase "supplementary conditions" is grammatically correct and functions as a noun phrase to describe additional requirements or terms. Ludwig AI confirms its validity. It is most commonly used in formal and scientific contexts, like academic research papers and technical documents, to provide greater detail. When using this phrase, it's important to define the specific requirements clearly to prevent any ambiguity. Related phrases include "additional requirements" and "further stipulations".

FAQs

How are "supplementary conditions" typically used in legal documents?

In legal documents, "supplementary conditions" are additional terms or requirements added to a primary agreement or contract. These conditions often address specific scenarios or contingencies not covered in the main clauses. For similar phrases, consider "additional requirements" or "further stipulations".

What's the difference between "supplementary conditions" and general terms?

"Supplementary conditions" are distinct from general terms in that they are not standard or universally applicable. Instead, they are tailored to the particular circumstances of the agreement or situation. Think of them as "extra provisions" added for clarity.

Are "supplementary conditions" as enforceable as the main conditions?

Yes, "supplementary conditions" are typically as enforceable as the main conditions, provided they are clearly defined, mutually agreed upon, and legally sound. They hold the same weight unless otherwise specified. Their enforcement is similar to the enforcement of "ancillary terms".

When should I use "supplementary conditions" instead of amending the original agreement?

Use "supplementary conditions" when the changes or additions are specific to a particular situation and do not require altering the core terms of the original agreement. This is a more efficient approach than rewriting the entire document. In other words, employ them for "added qualifications".

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Authority and reliability

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Expert rating

Real-world application tested

Most frequent sentences: