can be stated as follows

USAGE SUMMARY

"can be stated as follows" is a correct and commonly used phrase in written English.
Here are some examples of how you can use it: 1. "The main point of the argument can be stated as follows: humans have a responsibility to protect the environment for future generations." 2. "The hypothesis can be stated as follows: the more time a student spends studying, the higher their grades will be." 3. "The recipe can be stated as follows: mix all the dry ingredients in a bowl and then slowly add the wet ingredients." 4. "The rule can be stated as follows: always wear a helmet while riding a bike." 5. "The procedure can be stated as follows: applicants must submit their resume, cover letter, and references through our online portal."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Formally, this can be stated as follows.

Journal of Economic Structures

Our results can be stated as follows.

Journal of Inequalities and Applications

The results can be stated as follows.

Advances in Difference Equations

The method can be stated as follows.

EURASIP Journal on Wireless Communications and Networking

This result can be stated as follows.

Advances in Difference Equations

It can be stated as follows.

Journal of Inequalities and Applications

This important fixed-point theorem can be stated as follows.

Advances in Difference Equations

Fefferman's result [1] can be stated as follows.

Journal of Inequalities and Applications

Then [25, Theorem ] can be stated as follows.

Advances in Difference Equations

Our first result can be stated as follows.

Boundary Value Problems

Then [30] Theorem 5.29 can be stated as follows.

Boundary Value Problems

Expert writing Tips

Best practice

Use "can be stated as follows" to introduce a formal definition, theorem, or key result in a clear and structured manner. This phrase signals that you are about to present something important and precise.

Common error

Avoid using "can be stated as follows" in informal writing or conversation. This phrase is best suited for formal, academic, or technical contexts. In more casual settings, simpler alternatives like "basically" or "in short" are more appropriate.

Linguistic Context

The phrase "can be stated as follows" functions as an introductory phrase, signaling that a formal definition, theorem, or key result is about to be presented. Ludwig AI confirms its correct and common usage.

Expression frequency: Very common

Frequent in

Science

99%

News & Media

0.5%

Formal & Business

0.5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "can be stated as follows" is a very common introductory phrase, predominantly used in formal and scientific writing to signal the forthcoming presentation of a key definition, theorem, or result. According to Ludwig AI, it is grammatically correct and frequently used. While versatile, it's best reserved for formal contexts, with simpler alternatives preferred for casual communication. The phrase functions to provide a structured introduction with its related phrases like "can be expressed as" for different purposes.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

can be expressed as

Focuses on the formulation of something rather than a direct statement.

can be formulated as

Emphasizes the formal structure of the statement.

is expressed by

Highlights that the statement is a result of something.

is defined by

Indicates a definition is being provided.

is given by

Suggests a formula or explicit expression will follow.

is characterized by

Focuses on the defining attributes of the statement.

is represented as

Highlights how something is shown or depicted.

can be summarized as

Indicates a more concise version of a longer statement will be presented.

in other words

Provides a rephrasing of a statement for clarity.

to put it simply

Introduces a simplified explanation.

FAQs

How can I use "can be stated as follows" in a sentence?

Use "can be stated as follows" to introduce a formal definition, theorem, or key result. For example, "The theorem "can be stated as follows": For any real number x, x squared is non-negative."

What can I say instead of "can be stated as follows"?

You can use alternatives like "can be expressed as", "is defined by", or "in other words" depending on the context.

Is it appropriate to use "can be stated as follows" in casual conversation?

No, "can be stated as follows" is best suited for formal writing, especially in academic or technical contexts. In casual conversation, simpler alternatives like "basically" or "in short" are more appropriate.

Which is correct, "can be stated as follows" or "can be stated as following"?

"Can be stated as follows" is the correct and grammatically sound phrase. "Can be stated as following" is not standard English.