throughout this paper

USAGE SUMMARY

"throughout this paper" is a correct and commonly used expression in written English.
You can use it to refer to the body of a paper or essay when you want to indicate that something takes place or is discussed throughout its entirety. For example: "Throughout this paper, I have discussed the various ways in which technology can be utilized to improve communication."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Throughout this paper, we denote.

Fixed Point Theory and Applications

Throughout this paper, we let.

Boundary Value Problems

This constraint is used throughout this paper.

EURASIP Journal on Wireless Communications and Networking

Such modeling is applied throughout this paper.

EURASIP Journal on Wireless Communications and Networking

Throughout this paper, we assume that.

Journal of Inequalities and Applications

Notice that p ≥ 1 throughout this paper.

Journal of Inequalities and Applications

Throughout this paper, let denote either or.

Fixed Point Theory and Applications

For, let on throughout this paper.

Boundary Value Problems

Throughout this paper, we use standard notations.

Boundary Value Problems

Throughout this paper, we assume that and.

Journal of Inequalities and Applications

Throughout this paper, is a metric space.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

Use "throughout this paper" to clearly indicate that a definition, assumption, or notation will remain consistent for the entire document. This avoids confusion and enhances readability.

Common error

Avoid introducing a term or concept early in the paper and then changing it later without explicitly mentioning the change. If a term's meaning evolves, acknowledge this evolution to maintain clarity.

Linguistic Context

The phrase "throughout this paper" functions as a prepositional phrase that modifies a verb or clause. According to Ludwig, it indicates the scope or duration of a statement, action, or condition to the entire document under consideration.

Expression frequency: Very common

Frequent in

Science

90%

Formal & Business

5%

News & Media

3%

Less common in

Encyclopedias

1%

Wiki

0.5%

Reference

0.5%

Ludwig's WRAP-UP

The phrase "throughout this paper" is a common and grammatically sound phrase used to indicate that something applies consistently from the beginning to the end of a document. Ludwig AI confirms its widespread use, particularly in scientific and academic writing. While shorter alternatives like "in this paper" exist, "throughout this paper" specifically emphasizes the continuous nature of the concept. When writing, use this phrase to ensure clarity and avoid inconsistencies in terminology or assumptions. Remember that while appropriate for formal writing, other options might better fit less formal contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in this paper

This alternative is shorter and simpler, focusing on the paper's content without emphasizing the continuous aspect.

within this document

This alternative broadens the scope from a "paper" to any "document".

in the course of this paper

This alternative highlights the progression of the "paper".

in the present paper

This alternative adds a formal tone and emphasizes the current "paper".

for the duration of this paper

This alternative emphasizes the temporal aspect of the paper's length.

in what follows

This alternative is concise and implies a forward-looking perspective within the "paper".

in the subsequent sections

This alternative focuses on the structure of the paper and indicates that the information will be presented in the sections that come after.

as discussed herein

This alternative emphasizes the content that is contained or included within the paper.

as demonstrated in this paper

This alternative emphasizes the presence of a demonstration within the paper.

as explored in this paper

This alternative emphasizes the active process of investigation within the paper.

FAQs

How can I use "throughout this paper" in a sentence?

You can use "throughout this paper" to indicate that a particular concept, definition, or notation remains consistent from beginning to end. For example, "Throughout this paper, we use the term 'neural network' to refer to a specific architecture."

What's a more concise alternative to "throughout this paper"?

A shorter alternative is /s/in+this+paper, which is generally suitable when the continuous aspect isn't critical.

Is it appropriate to use "throughout this paper" in all types of writing?

While grammatically correct in many contexts, "throughout this paper" is most common in formal writing, especially academic and scientific papers. More informal contexts might benefit from simpler phrasing.

What's the difference between "throughout this paper" and "in this paper"?

"Throughout this paper" emphasizes that something is consistent or present from the beginning to the end, while /s/in+this+paper simply indicates that something is mentioned or discussed somewhere within the paper.