denoted as such

USAGE SUMMARY

The phrase "denoted as such" is correct and usable in written English.
It can be used when specifying or clarifying a term or concept that has been previously defined or identified. Example: "The variable in the equation is denoted as such to represent the unknown value."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Therefore, we can conclude that there always exists a, denoted as, such that (D.2). which completes the proof.

EURASIP Journal on Wireless Communications and Networking

There always exists a value of a real-time user i utility function parameter when, denoted as, such that, and hence when.

EURASIP Journal on Wireless Communications and Networking

Therefore, there always exist a value for parameter when, denoted as, such that both (C.2) and (C.3) are satisfied.

EURASIP Journal on Wireless Communications and Networking

Presumptive information, in the absence of documented evidence, will be denoted as such.

New Zealand Journal of Forestry Science

We can now proceed to prove that when, there always exists a value for a user utility function parameter   denoted as such that when then their maximum willingness to pay is calculated by the second part of (17), because   in (18) does not exist and hence, condition (A.1) is fulfilled.

EURASIP Journal on Wireless Communications and Networking

As many as 58% of the sequences found to be associated with Inocybe were not denoted as such in the study in which they were originally published, which indicates that the lack of reference sequences of Inocybe has severely impeded identification to genus level.

BMC Evolutionary Biology

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Then is continuous and differentiable, and further denote as set of such that.

EURASIP Journal on Wireless Communications and Networking

Site locations are denoted as geocoding data such as street address, postal code, and country/CRESTA (Catastrophe Risk Evaluating and Standardizing Target Accumulations) zone.

International Journal of Disaster Risk Science

According to (3.2), there exists a subsequence, still denoted as the sequence, such that lim n → ∞ 1 n ∫ a b φ n ( s ) d s = 0. (3.4).

Boundary Value Problems

Among all possible permutations in (mathcal {T}), the optimal Hamilton circuit over (Q) is the shortest Hamilton circuit, denoted as (T ^*), such that (d (T ^*) = min _{T in mathcal {T}}d (T)).

Data Science and Engineering

The difference between the utilities from adoption (UAi) and non-adoption (UNi) of modern varieties (MVs) of paddy may be denoted as G *, such that the ith household would like to adopt the given technology if UAi is greater than UNi.

Agricultural and Food Economics

Expert writing Tips

Best practice

Use "denoted as such" to clearly refer back to a previously defined term, ensuring there's no ambiguity about what you're discussing. It's particularly useful in technical or formal writing where precision is key.

Common error

Avoid using "denoted as such" in casual conversation or informal writing. It can sound overly formal or pretentious in contexts where simpler language would suffice.

Linguistic Context

The phrase "denoted as such" functions as a clarifier or restatement, indicating that something is being referred to in a specific manner that has been previously established. Ludwig AI examples showcase its use in academic and scientific contexts where precise definition is crucial. It affirms that a specific term or concept retains a defined status.

Expression frequency: Uncommon

Frequent in

Science

71%

News & Media

14%

Encyclopedias

14%

Less common in

Wiki

0%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "denoted as such" is a grammatically correct phrase primarily used in formal and scientific contexts to maintain clarity and precision. As Ludwig AI confirms, its function is to ensure that a previously defined term is consistently understood throughout the text. While not overly frequent, this phrase is valuable for avoiding ambiguity in technical writing. For less formal settings, alternatives like "referred to as such" may be more appropriate. However, when precision is paramount, "denoted as such" serves as a reliable tool for maintaining definitional consistency.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

referred to as such

Uses "referred" instead of "denoted", implying a reference rather than a formal designation.

designated as such

Replaces "denoted" with "designated", suggesting a more official or formal assignment.

identified as such

Employs "identified" instead of "denoted", focusing on recognition or classification.

termed as such

Substitutes "denoted" with "termed", indicating the use of a specific term or label.

described as such

Replaces "denoted" with "described", focusing on providing details or characteristics.

classified as such

Uses "classified" instead of "denoted", highlighting categorization or grouping.

labeled as such

Employs "labeled" instead of "denoted", emphasizing the assignment of a label or tag.

recognized as such

Substitutes "denoted" with "recognized", implying acknowledgement or acceptance of a particular status.

considered as such

Replaces "denoted" with "considered", suggesting a subjective evaluation or judgment.

understood as such

Uses "understood" instead of "denoted", highlighting a shared or implied understanding.

FAQs

How can I use "denoted as such" in a sentence?

Use "denoted as such" to refer back to a term or concept you've already defined, like: "The variable in the equation is "denoted as such" to represent the unknown value."

What are some alternatives to "denoted as such"?

You can use alternatives like "referred to as such", "designated as such", or "identified as such" depending on the specific nuance you want to convey.

Is "denoted as such" formal or informal?

""denoted as such"" is generally considered a formal expression, more suitable for academic, scientific, or professional writing than casual conversation.

What's the difference between "denoted as such" and "defined as such"?

While both refer back to a previously mentioned term, ""denoted as such"" implies that something is represented or symbolized in a particular way, whereas "defined as such" means something has been specifically given a meaning or explanation.