as expressed below

USAGE SUMMARY

The phrase "as expressed below" is correct and usable in written English.
It can be used to refer to information or details that will follow in the text. Example: "The terms of the agreement are as expressed below: the payment is due within 30 days."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

16 human-written examples

This paper identifies problem areas in the cycle as expressed below:.

International Journal of Hydrogen Energy

An approximate formula for the Prandtl tip and hub function was firstly introduced by Glauert[4] as expressed below: F = π 2 cos − 1 exp − f Open image in new window (8).

International Journal of Energy and Environmental Engineering

To explore the mechanism of degradation, a pseudo-first-order kinetic model as expressed below was subsequently used to evaluate the degradation kinetic of MB by SiO2-encapsulated ZVI NPs [41, 42] ln c t / c 0 = − k obs t.

Nanoscale Research Letters

The upper threshold ((alpha _mathrm{U})) is determined by Eq. (6), while the lower threshold ((alpha _mathrm{L})) is estimated by applying the Tukey method as expressed below: begin{aligned} alpha _mathrm{L} = Q_1 - 3 Vert Q_3 - Q_1Vert.

Vietnam Journal of Computer Science

The shear stress (Eq. (2)) can be expressed using two viscoelastic terms, in-phase term and out-of-phase term, as expressed below; tau = tau ' + tau " = gamma_{0} (G'sin (omega t) + G^{prime prime }cos (omega t)) (3)where ( G^{prime } ) is the storage modulus and ( G^ ) is the loss modulus.

International Journal of Concrete Structures and Materials

A part of H+ would be reduced and the formation of Had and Hab proceeds as expressed below, {mathsf{H}}^+{mathrm{e}}^{hboxto {mathsf{H}}_{mathsf{ad}}to {mathsf{H}}_{mathsf{ab}} (5 where Had is the adsorbed hydrogen and Hab the absorbed hydrogen.

International Journal of Mechanical and Materials Engineering

Human-verified similar examples from authoritative sources

Similar Expressions

44 human-written examples

Only miRNAs expressed above a threshold of 10 reads per million were considered for the differential expression analysis as miRNAs expressed below this threshold are unlikely to be functional.

BMC Genomics

At 0 hr, no gene was detected as differentially expressed below 96% FDR (false Discovery rate).

Plosone

Previously, microarray profiling using the same methods used here identified reported no gene as differentially expressed below 96% FDR [27].

Plosone

At 0 hr, no gene was detected as differentially expressed below 96% FDR.

BMC Systems Biology

As shown in Figure 6A, reductions in sequencing depth correlated with a decrease in the number of genes identified as differentially expressed below this P-value cutoff.

BMC Genomics

Expert writing Tips

Best practice

Use "as expressed below" to clearly signal that the subsequent text will elaborate on or define a previously mentioned concept. This helps maintain a logical flow of information.

Common error

Avoid using "as expressed below" in casual writing. It can sound overly formal and stilted. Opt for simpler alternatives like "here's how" or "like this".

Linguistic Context

The phrase "as expressed below" functions as an introductory phrase, signaling that a detailed explanation, definition, or relevant content will immediately follow. Ludwig AI indicates the phrase is grammatically correct and commonly used.

Expression frequency: Common

Frequent in

Science

90%

Formal & Business

5%

News & Media

2%

Less common in

Encyclopedias

1%

Wiki

1%

Reference

1%

Ludwig's WRAP-UP

In summary, "as expressed below" is a grammatically correct and common introductory phrase used to signal that further details or explanations are forthcoming. According to Ludwig AI, it is particularly prevalent in scientific and academic writing where precision and clarity are paramount. While it is perfectly acceptable, be mindful of the context and consider simpler alternatives in informal settings. This phrase serves to prepare the reader for subsequent information, ensuring a smooth and logical flow of ideas. Although the phrase is marked as correct by Ludwig, remember to consider the tone that you want to give to the message.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as follows

A very common and versatile way to introduce a list or explanation.

as detailed subsequently

Emphasizes that details will follow, with a slightly more formal tone.

the details are as below

Simple and direct way of providing what follows are specifications.

as articulated later

Suggests a more formal and elaborate explanation will be provided.

in the manner described below

Focuses on the method or manner in which something will be presented.

as shown hereafter

Primarily used in academic writing to introduce equations, proofs, or demonstrations.

in the subsequent explanation

Directly indicates the explanation is found later in the text.

as described in the following section

Specifically refers to a description located in a later section.

which can be expressed thus

More concise and direct, implies a transformation or equivalent expression.

to be expressed in these terms

Focuses on the specific terminology or manner of expression.

FAQs

How to use "as expressed below" in a sentence?

Use "as expressed below" to introduce a detailed explanation, formula, or quote that directly relates to the preceding statement. For example, "The governing equation, as expressed below, details the rate of decay."

What can I say instead of "as expressed below"?

You can use alternatives like "as follows", "as detailed subsequently", or "as described in the following section" depending on the context.

Which is correct, "as expressed below" or "as expressed above"?

"As expressed below" is used when the information is presented after the phrase. "As expressed above" is used when the information precedes the phrase.

Is "as expressed below" appropriate for formal or informal writing?

"As expressed below" is generally more suitable for formal writing, especially in scientific or technical contexts. For informal writing, consider using simpler phrases like "here's how" or "like this".