as formulated below

USAGE SUMMARY

The phrase "as formulated below" is correct and usable in written English.
It can be used to refer to a statement or idea that will be presented in the following text. Example: "The terms of the agreement are as formulated below for your review."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

The total reception power consumption of node i is the sum of all power consumed to receive data from other nodes, as formulated below, where λ is a constant coefficient: {P}_{ri=}{displaystyle sum lambda cdot {r}_{ki}.} (7).

Human-centric Computing and Information Sciences

If a compositional feature ameliorates uniformly, then its intra-genomic variability will be bounded within certain limits embodied in a null hypothesis of homogeneity as formulated below.

DNA Research

We generated epistatic data in continuous case based on discrete case, as formulated below: (4) y i = { 0 x i = 0 sampling    from    Normal (μ 1, σ 1 )    x i = 1 sampling    from    Normal (μ 2, σ 2 ) x i = 2, where x i denotes genotype data generated by simulator and y i corresponding abundance levels.

BioMed Research International

The combination of l1-regularization and non-negativity results in the l1NNLS sparse coding model as formulated below: (19) min x 1 2 b - A x 2 2 + λ T x s. t. x ≥ 0. We call Equation (19) the l1 NNLS model.

BMC Systems Biology

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

Our new-product introduction plans will continue as formulated.

The New York Times

The objective function is formulated below.

Journal of Modern Power Systems and Clean Energy

The optimization problem is formulated below.

EURASIP Journal on Wireless Communications and Networking

Similar reduction is demonstrated for IGP formulated below.

Boundary Value Problems

The corresponding decision list coloring problem is formulated below.

EURASIP Journal on Wireless Communications and Networking

A second query can be formulated below the first one.

Database : the journal of biological databases and curation

In the model formulated below we distinguish activated and unactivated cells.

Biology Direct

Expert writing Tips

Best practice

Use "as formulated below" to clearly signal that a detailed explanation, equation, or model will be presented immediately following the statement. This helps maintain clarity and flow in technical documents.

Common error

While grammatically correct, using "as formulated below" in informal writing can sound overly formal or pretentious. Choose simpler alternatives like "as shown below" or "as explained later" for a more natural tone.

Linguistic Context

The phrase "as formulated below" serves as an introductory signal, indicating that a detailed explanation, definition, or model will be presented subsequently. As Ludwig AI explains, the phrase is grammatically correct and appropriate for formal contexts.

Expression frequency: Rare

Frequent in

Science

75%

News & Media

25%

Formal & Business

0%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "as formulated below" is a grammatically correct and usable expression, predominantly found in scientific and formal writing. As Ludwig AI indicates, its primary function is to signal that a detailed explanation, definition, or model will follow. While alternatives like "as stated below" or "as outlined below" exist, "as formulated below" is particularly suitable for contexts involving mathematical or precise expressions. To ensure clarity and avoid sounding overly formal, consider the context and audience when choosing this phrase.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as stated hereinafter

Replaces "formulated" with "stated" and "below" with the more formal "hereinafter", indicating a formal legal or official context.

as presented hereafter

Replaces "formulated" with "presented" and "below" with the more formal "hereafter", focusing on the act of presenting information.

as detailed in the following section

Replaces "formulated" with "detailed" and uses a more explicit reference to a section, emphasizing a structured presentation.

as demonstrated in the ensuing discussion

Replaces "formulated" with "demonstrated" and shifts the focus to a discussion rather than a strict formulation.

as expressed in the subsequent text

Replaces "formulated" with "expressed" and "below" with "subsequent text", highlighting the expression of an idea rather than its formulation.

as defined in the upcoming paragraphs

Replaces "formulated" with "defined", pinpointing that the following is a definition and "below" is replaced with "upcoming paragraphs".

as outlined in what follows

Replaces "formulated" with "outlined" and "below" with "what follows", suggesting a broader overview will be given.

as described later on

Uses a more informal tone compared to "as formulated below".

to be formulated subsequently

Indicates that formulation will occur later, rather than referring to an existing formulation that is simply presented below.

as explained further down

Less formal, using "explained" instead of "formulated" and "further down" instead of "below".

FAQs

How can I use "as formulated below" in a sentence?

Use "as formulated below" to introduce a specific equation, model, or set of rules that will be presented immediately after the phrase. For example, "The total reception power consumption is calculated "as formulated below"."

What are some alternatives to "as formulated below"?

You can use alternatives such as "as stated below", "as outlined below", or "as described below". The best choice depends on the specific context and level of formality you want to convey.

Is "as formulated above" grammatically correct?

While "as formulated below" is used to refer to something that follows, "as formulated above" refers to something previously mentioned. Both are grammatically correct, but their appropriateness depends on the context.

What's the difference between "as formulated below" and "as shown below"?

"As formulated below" suggests a more formal or mathematical expression, while "as shown below" implies a visual representation or a simpler explanation. Choose the phrase that best reflects the nature of the information being presented.