established as below

USAGE SUMMARY

The phrase "established as below" is correct and usable in written English.
It can be used when you want to refer to information or details that will be provided in a subsequent section or list. Example: "The terms of the agreement are established as below for your review."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

The optimization statement and constraints are established as below.

EURASIP Journal on Wireless Communications and Networking

A similar consequence on the minus ordering is established as below.

Journal of Inequalities and Applications

The level of significance for p value was established as below 5%.

BMC Gastroenterology

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

After a cyber intrusion, the dynamical model of a power system is established as shown below: left{ begin{array}{ll} varvec{Y}_{text{bus}} dot{varvec{V}} = dot{varvec{I}} hfill - dot{V}_{i} dot{I}_{i}^ = P_{{{text{D}},i}} + {text{j}}Q_{{{text{D}},i}} hfill dot{V}_{j} dot{I}_{j}^ = dot{V}_{j} left( {frac{{varOmega_{j} angle delta_{j} - dot{V}_{j} }}{{Z_{j} }}} right)^ hfill end{array} right.

Journal of Modern Power Systems and Clean Energy

SCC9-Tp63 and SCC9-Dp63 induclonesclonestablishedshed as described below, were maintained in DMEM medium supplemented with 0.5 mM sodium pyruvate, 1.2 g/L sodium bicarbonate, 400 ng/ml hydrocortisone, 10% Tetracycline free FBS (BD Biosciences, San Jose, CA), 10 µg/ml blasticidin (Sigma-Aldrich, St . Louis MO), and 300 µg/ml zeocin (Invitrogen Corporation, Carlsbad, CA).

Plosone

UAS-BtR, UAS-CryR, and QUAS-CryR flies were established as described below.

BMC Biology

The role of energy deficits in the development and progression of heart failure is well established as described below.

Basic Research in Cardiology

To enhance the value of its practical applications [ 98], a web server for the new iCTX-Type predictor was established as described below.

BioMed Research International

However, the results established, as described below, that the top and bottom QP facets were predominantly passivated by the primary amine.

Chemistry of Materials

Males in a dyad differed by less than 15% in standard length (SL), which has previously been established as the threshold below which fights typically escalate ; nevertheless, size difference was included as a covariate in the statistical analyses (see below).

F1000Research

The maximum tolerated dose level was established as the tolerated dose level below which excessive DLTs (at a rate ≥33%%) had been reached.

Annals of Surgical Oncology

Expert writing Tips

Best practice

Use "established as below" to clearly signal that you are about to provide supporting information, definitions, or detailed explanations. This helps readers anticipate and follow your line of reasoning.

Common error

Ensure that the information presented after using "established as below" directly relates to the statement. A disconnect can confuse readers and weaken your argument.

Linguistic Context

The phrase "established as below" functions as a transitional phrase, signaling that the details or specifics of something previously mentioned will be elaborated on in the subsequent text. This phrase acts as an antecedent, indicating that more information is forthcoming. Ludwig AI confirms the correctness and usability of the phrase.

Expression frequency: Rare

Frequent in

Science

70%

News & Media

20%

Formal & Business

10%

Less common in

Wiki

0%

Encyclopedias

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "established as below" is a grammatically correct and usable phrase primarily employed in formal and scientific writing. According to Ludwig AI, it serves as a transitional phrase, signaling that detailed information or explanations will follow. While not overly common, its use is consistent in academic and scientific contexts. Alternatives such as "detailed below" or "outlined below" can be used depending on the context. When using the phrase, ensure that the subsequent information directly relates to the statement to maintain clarity for the reader.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

detailed below

Replaces "established as" with "detailed", focusing on providing specific information.

outlined below

Emphasizes a structured presentation of information that follows.

described below

Focuses on providing a narrative or explanation in the subsequent text.

defined below

Highlights the act of providing a specific definition later on.

presented below

Suggests a formal presentation of data or information.

explained in detail below

Adds emphasis to the thoroughness of the upcoming explanation.

shown in the following section

Indicates a specific section where the information will be found.

as demonstrated below

Implies that evidence or examples will be provided.

as indicated in the subsequent text

A more formal way to point toward upcoming information.

specified hereinafter

A formal, legalistic term for details that are presented later in a document.

FAQs

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

Use "established as below" to indicate that a principle, fact, or method has been determined and will be further detailed. For example, "The criteria for inclusion are "established as below"."

What are some alternatives to using "established as below"?

Alternatives include "detailed below", "outlined below", or "described below". The best choice depends on the specific context and the type of information being presented.

Is it more appropriate to use "established as below" or "established as follows"?

"Established as below" is used when the information is presented directly after the phrase. "Established as follows" is used when presenting a list or series of points. They are both grammatically correct, but context dictates which is more suitable.

Can I use "established as below" in formal writing?

Yes, "established as below" is suitable for formal writing, especially in scientific or academic contexts, as Ludwig examples show. Ensure that the subsequent information is clear and logically organized.