what is a research paper footnote

How to Use Footnotes in Research Papers

 edfuentesg / Getty Images

• An Introduction to Punctuation
• Ph.D., Rhetoric and English, University of Georgia
• M.A., Modern English and American Literature, University of Leicester
• B.A., English, State University of New York

A footnote is a reference, explanation, or comment 1 placed below the main text on a printed page. Footnotes are identified in the text by a numeral  or a  symbol .  

In research papers and reports , footnotes commonly acknowledge the sources of facts and quotations that appear in the text.

" Footnotes are the mark of a scholar," says Bryan A. Garner. "Overabundant, overflowing footnotes are the mark of an insecure scholar — often one who gets lost in the byways of analysis and who wants to show off" ( Garner's Modern American Usage , 2009).

Examples and Observations

• " Footnotes: vices . In a work containing many long footnotes, it may be difficult to fit them onto the pages they pertain to, especially in an illustrated work."
• " Content footnotes  supplement or simplify substantive information in the text; they should not include complicated, irrelevant, or nonessential information..." " Copyright permission footnotes  acknowledge the source of lengthy quotations, scale and test items, and figures and tables that have been reprinted or adapted."
• Content Footnotes "What, after all, is a content footnote but material that one is either too lazy to integrate into the text or too reverent to discard? Reading a piece of prose that constantly dissolves into extended footnotes is profoundly disheartening. Hence my rule of thumb for footnotes is exactly the same as that for  parentheses . One should regard them as symbols of failure. I hardly need to add that in this vale of tears failure is sometimes unavoidable."
• Footnote Forms All notes have the same general form: 1. Adrian Johns. The Nature of the Book: Print and Knowledge in the Making (Chicago: University of Chicago Press, 1998), 623. If you cite the same text again, you can shorten subsequent notes: 5. Johns. Nature of the Book , 384-85.
• The Disadvantages of Footnotes "More than one recent critic has pointed out that footnotes interrupt a narrative . References detract from the illusion of veracity and immediacy . . . . (Noel Coward made the same point more memorably when he remarked that having to read a footnote resembles having to go downstairs to answer the door while in the midst of making love.)"
• Belloc on Footnotes "[L]et a man put his foot-notes in very small print indeed at the end of a volume, and, if necessary, let him give specimens rather than a complete list. For instance, let a man who writes history as it should be written — with all the physical details in evidence, the weather, the dress, colors, everything — write on for the pleasure of his reader and not for his critic. But let him take sections here and there, and in an appendix show the critic how it is being done. Let him keep his notes and challenge criticism. I think he will be secure. He will not be secure from the anger of those who cannot write clearly, let alone vividly, and who have never in their lives been able to resurrect the past, but he will be secure from their destructive effect."
• The Lighter Side of Footnotes "A footnote is like running downstairs to answer the doorbell on your wedding night."

1 "The footnote has figured prominently in the fictions of such leading contemporary novelists as Nicholson Baker 2 , David Foster Wallace 3 , and Dave Eggers. These writers have largely revived the digressive function of the footnote." (L. Douglas and A. George, Sense and Nonsensibility: Lampoons of Learning and Literature . Simon and Schuster, 2004)

2 "[T]he great scholarly or anecdotal footnotes of Lecky, Gibbon, or Boswell, written by the author of the book himself to supplement, or even correct over several later editions, what he says in the primary text, are reassurances that the pursuit of truth doesn't have clear outer boundaries: it doesn't end with the book; restatement and self-disagreement and the enveloping sea of referenced authorities all continue. Footnotes are the finer-suckered surfaces that allow tentacular paragraphs to hold fast to the wider reality of the library." (Nicholson Baker, The Mezzanine . Weidenfeld and Nicholson, 1988)

3 "One of the odd pleasures in reading the work of the late David Foster Wallace is the opportunity to escape from the main text to explore epic footnotes , always rendered at the bottoms of pages in thickets of tiny type." (Roy Peter Clark, The Glamour of Grammar . Little, Brown, 2010)

• Hilaire Belloc,  On , 1923
• Chicago Manual of Style , University of Chicago Press, 2003
• Anthony Grafton,  The Footnote: A Curious History . Harvard University Press, 1999.
• Publication Manual of the American Psychological Association , 6th ed., 2010.
• Paul Robinson, "The Philosophy of Punctuation."  Opera, Sex, and Other Vital Matters . University of Chicago Press, 2002.
• Kate Turabian,  A Manual for Writers of Research Papers, Theses, and Dissertations , 7th ed. University of Chicago Press, 2007 .
• What Are Endnotes, Why Are They Needed, and How Are They Used?
• Formatting Papers in Chicago Style
• Turabian Style Guide With Examples
• What Is a Style Guide and Which One Do You Need?
• Top 10 Reference Works for Writers and Editors
• Definition of Appendix in a Book or Written Work
• Documentation in Reports and Research Papers
• Margin (Composition Format) Definition
• What Is a Citation?
• Justification (Typesetting and Composition)
• What Is a Senior Thesis?
• 140 Key Copyediting Terms and What They Mean
• What are Ellipsis Points?
• Definition and Examples of Title Case and Headline Style
• Examples of Epigraphs in English
• How to Write a Research Paper That Earns an A

• USC Libraries
• Research Guides

Organizing Your Social Sciences Research Paper

• Footnotes or Endnotes?
• Purpose of Guide
• Design Flaws to Avoid
• Independent and Dependent Variables
• Glossary of Research Terms
• Reading Research Effectively
• Narrowing a Topic Idea
• Broadening a Topic Idea
• Extending the Timeliness of a Topic Idea
• Academic Writing Style
• Applying Critical Thinking
• Choosing a Title
• Making an Outline
• Paragraph Development
• Research Process Video Series
• Executive Summary
• The C.A.R.S. Model
• Background Information
• The Research Problem/Question
• Theoretical Framework
• Citation Tracking
• Content Alert Services
• Evaluating Sources
• Primary Sources
• Secondary Sources
• Tiertiary Sources
• Scholarly vs. Popular Publications
• Qualitative Methods
• Quantitative Methods
• Insiderness
• Using Non-Textual Elements
• Limitations of the Study
• Common Grammar Mistakes
• Writing Concisely
• Avoiding Plagiarism
• Further Readings
• Generative AI and Writing
• USC Libraries Tutorials and Other Guides
• Bibliography

Endnote Note citing a particular source or making a brief explanatory comment placed at the end of a research paper and arranged sequentially in relation to where the reference appears in the paper.

Footnote Note citing a particular source or making a brief explanatory comment placed at the bottom of a page corresponding to the item cited in the corresponding text above.

Fiske, Robert Hartwell. To the Point: A Dictionary of Concise Writing . New York: W.W. Norton and Company, 2014.

Structure and Writing Style

Advantages of Using Endnotes

• Endnotes are less distracting to the reader and allows the narrative to flow better.
• Endnotes don't clutter up the page.
• As a separate section of a research paper, endnotes allow the reader to read and contemplate all the notes at once.

Disadvantages of Using Endnotes

• If you want to look at the text of a particular endnote, you have to flip to the end of the research paper to find the information.
• Depending on how they are created [i.e., continuous numbering or numbers that start over for each chapter], you may have to remember the chapter number as well as the endnote number in order to find the correct one.
• Endnotes may carry a negative connotation much like the proverbial "fine print" or hidden disclaimers in advertising. A reader may believe you are trying to hide something by burying it in a hard-to-find endnote.

Advantages of Using Footnotes

• Readers interested in identifying the source or note can quickly glance down the page to find what they are looking for.
• It allows the reader to immediately link the footnote to the subject of the text without having to take the time to find the note at the back of the paper.
• Footnotes are automatically included when printing off specific pages.

Disadvantages of Using Footnotes

• Footnotes can clutter up the page and, thus, negatively impact the overall look of the page.
• If there are multiple columns, charts, or tables below only a small segment of text that includes a footnote, then you must decide where the footnotes should appear.
• If the footnotes are lengthy, there's a risk they could dominate the page, although this issue is considered acceptable in legal scholarship.
• Adding lengthy footnotes after the paper has been completed can alter the page where other sources are located [i.e., a long footnote can push text to the next page].
• It is more difficult learning how to insert footnotes using your word processing program than simply adding endnotes at the end of your paper.

Things to keep in mind when considering using either endnotes or footnotes in your research paper :

1.    Footnotes are numbered consecutively throughout a research paper, except for those notes accompanying special material (e.g., figures, tables, charts, etc.). Numbering of footnotes are "superscript"--Arabic numbers typed slightly above the line of text. Do not include periods, parentheses, or slashes. They can follow all punctuation marks except dashes. In general, to avoid interrupting the continuity of the text, footnote numbers are placed at the end of the sentence, clause, or phrase containing the quoted or paraphrased material. 2.    Depending on the writing style used in your class, endnotes may take the place of a list of resources cited in your paper or they may represent non-bibliographic items, such as comments or observations, followed by a separate list of references to the sources you cited and arranged alphabetically by the author's last name. If you are unsure about how to use endnotes, consult with your professor. 3.    In general, the use of footnotes in most academic writing is now considered a bit outdated and has been replaced by endnotes, which are much easier to place in your paper, even with the advent of word processing programs. However, some disciplines, such as law and history, still predominantly utilize footnotes. Consult with your professor about which form to use and always remember that, whichever style of citation you choose, apply it consistently throughout your paper.

NOTE:   Always think critically about the information you place in a footnote or endnote. Ask yourself, is this supplementary or tangential information that would otherwise disrupt the narrative flow of the text or is this essential information that I should integrate into the main text? If you are not sure, it's better to work it into the text. Too many notes implies a disorganized paper.

Cermak, Bonni and Jennifer Troxell. A Guide to Footnotes and Endnotes for NASA History Authors . NASA History Program. History Division; Hale, Ali. Should You Use Footnotes or Endnotes? DailyWritingTips.com; Tables, Appendices, Footnotes and Endnotes. The Writing Lab and The OWL. Purdue University; Lunsford, Andrea A. and Robert Connors. The St. Martin's Handbook . New York: St. Martin's Press, 1989; Saller, Carol. “Endnotes or Footnotes? Some Considerations.” The Chronicle of Higher Education 58 (January 6, 2012): http://chronicle.com/blogs/linguafranca/2012/01/06/endnotes-or-footnotes-some-considerations/.

• << Previous: Avoiding Plagiarism
• Next: Further Readings >>
• Last Updated: May 30, 2024 9:38 AM
• URL: https://libguides.usc.edu/writingguide

• Foundations
• Write Paper

Search form

• Experiments
• Anthropology
• Self-Esteem
• Social Anxiety

• Research Paper >

How to Write Footnotes

Information on how to write footnotes and endnotes. Footnotes, a type of citation format, are most often used for history and philosophy papers. As such, scientists rarely encounter it, but it is still useful to know how to follow the practice.

This article is a part of the guide:

• Outline Examples
• Example of a Paper
• Write a Hypothesis
• Introduction

Browse Full Outline

• 1 Write a Research Paper
• 2 Writing a Paper
• 3.1 Write an Outline
• 3.2 Outline Examples
• 4.1 Thesis Statement
• 4.2 Write a Hypothesis
• 5.2 Abstract
• 5.3 Introduction
• 5.4 Methods
• 5.5 Results
• 5.6 Discussion
• 5.7 Conclusion
• 5.8 Bibliography
• 6.1 Table of Contents
• 6.2 Acknowledgements
• 6.3 Appendix
• 7.1 In Text Citations
• 7.2 Footnotes
• 7.3.1 Floating Blocks
• 7.4 Example of a Paper
• 7.5 Example of a Paper 2
• 7.6.1 Citations
• 7.7.1 Writing Style
• 7.7.2 Citations
• 8.1.1 Sham Peer Review
• 8.1.2 Advantages
• 8.1.3 Disadvantages
• 8.2 Publication Bias
• 8.3.1 Journal Rejection
• 9.1 Article Writing
• 9.2 Ideas for Topics

Many biology journals, for example, prefer footnotes because they allow annotation of the in-text citation on the same page.

Whilst footnotes are a little more cumbersome than the 'author/date' system, they are useful where sources require elaboration and short explanatory notes.

What is a Footnote

The footnote takes the form of a superscripted number, just after a paraphrased piece of information. Subsequently, a cross-reference to this number is inserted at the bottom of the same page.

In fact, for dissertations and theses, many writers use footnotes to keep track of their citations , adding a short note of what exactly each one adds to the paper.

Once the paper is complete, the writer converts them to endnotes at the end or every chapter, or even removes them all together, and uses a standard APA or MLA bibliography instead.

Automatically Inserting Footnotes

The reason that footnotes are still popular in some fields is that most word processing programs now include a function that makes it very easy to include footnotes in any paper.

In Microsoft Word, clicking Insert > Reference > Footnote allows you to insert footnotes automatically, and automatically numbers them. This function is so useful, that even if you cut and paste, and swap information around, it automatically adjusts the footnotes.

This is why it is an excellent resource for keeping track of your sources during the course of a research paper .

How to Write Footnotes - Protocols

If you are using footnotes, the common convention is to insert a full citation, including author, year and the title of the book, followed by the page number. Afterwards, the surname of the author and the page number is sufficient.

Older journals often use the word ibid, to show that a footnote uses the same source as the previous one, but this has become much rarer.

• Psychology 101
• Flags and Countries
• Capitals and Countries

Martyn Shuttleworth (Nov 21, 2009). How to Write Footnotes. Retrieved Jun 01, 2024 from Explorable.com: https://explorable.com/how-to-write-footnotes

You Are Allowed To Copy The Text

The text in this article is licensed under the Creative Commons-License Attribution 4.0 International (CC BY 4.0) .

This means you're free to copy, share and adapt any parts (or all) of the text in the article, as long as you give appropriate credit and provide a link/reference to this page.

That is it. You don't need our permission to copy the article; just include a link/reference back to this page. You can use it freely (with some kind of link), and we're also okay with people reprinting in publications like books, blogs, newsletters, course-material, papers, wikipedia and presentations (with clear attribution).

Want to stay up to date? Follow us!

Check out the official book.

Learn how to construct, style and format an Academic paper and take your skills to the next level.

(also available as ebook )

Save this course for later

Don't have time for it all now? No problem, save it as a course and come back to it later.

Footer bottom

• Privacy Policy

• Subscribe to our RSS Feed
• Like us on Facebook
• Follow us on Twitter

• Skip to main content
• Skip to secondary menu
• Skip to primary sidebar
• Skip to footer

Erin Wright Writing

Writing-Related Software Tutorials

What Are Footnotes and How to Use Them

By Erin Wright

What Are Footnotes?

Footnotes are supplementary pieces of information that support your writing. If you’re following The Chicago Manual of Style (Chicago style, which is the best style guide for general business content), supplementary information includes works cited, suggestions for further research, commentary, quotations, copyright statements, or a combination of any of the above. 1

If you’re following the Publication Manual of the American Psychological Association (APA style) or MLA style from the Modern Language Association, works cited typically appear in the reference list or bibliography; so, footnotes are reserved for commentary, suggestions for further research, or copyright statements. 2

Work cited example based on Chicago style:

1. Lynne Truss, Eats, Shoots & Leaves (New York: Gotham Books, 2003), 89.

Commentary example:

2. This study excluded Groups D and E; therefore, it should not be considered exhaustive.

Suggestion for further research example:

3. Visit www.erinwrightwriting.com for more information about ampersands.

Where Should Footnotes Appear in Formal Documents?

Footnotes usually appear at the bottom of the page. Each footnote is preceded by a number that also appears as a superscript after the corresponding material on that page. Chicago style allows you to use symbols, such as the asterisk or the dagger, instead of numbers if you only have a few footnotes. 3

If you’re following APA style or MLA style, footnotes can appear at the foot of the page or all together at the end of the document. 4 (In Chicago style and MLA style, notes placed at the end of articles, chapters, or books are called endnotes. 5 ) Unlike Chicago style, APA style and MLA style don’t recommend using symbols as footnote identifiers. 6

Where Should Footnotes Appear in General Business Writing?

If you’re publishing less formal content online, such as a blog post or a how-to article, there’s no rule that says you can’t put footnotes at the end of individual sections. I like to call them “floating footnotes” because they float where they’re most needed instead of languishing at the end of a page or document.

In fact, floating footnotes can be more helpful than traditional footnotes for viewers who only need to read a few sections of your content. Floating footnotes can also benefit viewers who don’t want to scroll all the way to the end of a long webpage or ebook.

However, reserve floating footnotes for longer pieces so your content doesn’t become disjointed. If your blog post or article is only a couple of screen lengths, tradition footnotes should work just fine. You can see an example of a floating footnote in the second-to-last section of Three Ways to Add Currency Symbols in Microsoft Word .

Three Tips for Writing Footnotes

1. If your supplementary information is longer than a paragraph, consider using an appendix instead of a footnote.

2. If you’re following Chicago style and your footnotes are taking up too much page space, consider using endnotes instead.

3. Avoid unnecessary footnotes: if they don’t cite your sources or improve your readers’ understanding of the topic, they’re probably not necessary.

Check out these related posts on the differences between bibliographies and reference pages and how to insert footnotes and endnotes in Microsoft Word .

And of course, here are my footnotes for this blog post:

1.  The Chicago Manual of Style , 17th ed. (Chicago: University of Chicago Press, 2017), 14.19, 14.37–40.

2. Publication Manual of the American Psychological Association, 7th ed. (Washington, DC: American Psychological Association, 2020), 2.13; MLA Handbook , 9th ed. (New York; Modern Language Association, 2021), 7.1-7.2.

3. The Chicago Manual of Style , 14.25.

4. Publication Manual of the American Psychological Association , 2.13; MLA Handbook , 7.3.

5. The Chicago Manual of Style , 14.43; MLA Handbook , 7.3.

6. Publication Manual of the American Psychological Association , 2.13; MLA Handbook , 7.3.

Updated January 25, 2022

• Microsoft Word Tutorials
• Adobe Acrobat Tutorials
• PowerPoint Tutorials
• Writing Tips
• Editing Tips
• Writing-Related Resources

What Are Footnotes and How Do You Use Them?

#scribendiinc

Written by  Scribendi

While reading a book or article, have you ever noticed little numbers placed at the ends of some sentences?

These numbers usually appear as superscripts and correspond with numbers placed at the bottom of the page, next to which appears further information that is both necessary and supplementary. Sometimes this information will come in the form of citations, but sometimes it will simply present additional notes about the topic at hand.

These citations and explanations are called "footnotes" (because they appear in the footer of the page). Take a look at the example below to see where footnotes appear on a page:

We've outlined how to use footnotes below. Check it out!

1. What Are Footnotes?

2. footnotes vs. endnotes, 2.1 should i use footnotes or endnotes, 3. how to do footnote citations, 3.1 in-text citations, 3.2 footnotes, 4. how to use footnotes in essays, 4.1 style guides, 4.1.1 modern language association (mla), 4.1.2  american psychological association (apa), 4.1.3  chicago manual of style (cms), 5. technical guide to using footnotes, 5.1 how to add footnotes in microsoft word, 5.2 how to add footnotes in google docs, 6. final tips and tricks .

Footnotes are notes that are placed at the end of a page and used to reference parts of the text (generally using superscript numbers). Writers use footnotes for several purposes, including  citations , parenthetical information, outside sources, copyright permissions, background information, and more.

Now that you understand what footnotes are, you might be wondering: why use them? The truth is, long explanatory notes can be difficult for readers to trudge through (especially when they occur in the middle of a paper). Providing this information is necessary, but doing so in the main text can disrupt the flow of the writing.

Imagine if every time an author wanted to provide a citation, the entire citation had to be written out at the end of the sentence, like this (Anthony Grafton, The Footnote: A Curious History [Cambridge, MA: Harvard University Press, 1999] 221). Books would become much longer and reading would be much more tedious. That's why footnotes are so useful: they let authors provide the required information without disrupting the flow of ideas.

While footnotes are a great resource for sharing information without clogging up the writing, it's important to note that certain style guides restrict when footnotes can be used. We'll get into that soon!

Unsure how to edit your paper? Contact the Scribendi team for professional proofreading .

Authors can also use endnotes to avoid disrupting their writing with extraneous information. Both serve similar purposes; the main difference lies in their location in your text. Here's a closer look at how both footnotes and endnotes work.

• Identified in the main text with a small superscript number
• Used for citations, parenthetical information, outside sources, copyright permissions, background information, and more
• Provide the correlating notes at the bottom of the same page
• Identified in the main text with a small superscript number (like footnotes)
• Used for citations, parenthetical information, outside sources, copyright permissions, background information, and more (like footnotes)
• Found collectively at the end of an article, chapter, or document (unlike footnotes)

When deciding  whether to use footnotes or endnotes , authors must consider three main factors:

• The style guide being used (as some require either footnotes or endnotes)
• The number of notes being included (as having too many footnotes on each page can be distracting)
• Which option will be more convenient for the reader

To make a footnote citation, label the area of your text that you need to reference with a number (if it's your first footnote, start with "1."). At the bottom of the page, include this number with the citation. When readers see the number in the text, they know they can find the source by looking for the corresponding footnote.

Here's an example of a quoted piece of text using in-text citations vs. footnotes.

"Like the high whine of the dentist's drill, the low rumble of the footnote on the historian's page reassures" ( The Footnote: A Curious History [Cambridge, MA: Harvard University Press], 1999. pg. 1).

"Like the high whine of the dentist's drill, the low rumble of the footnote on the historian's page reassures." 1

[Text continues]

Bottom of the page:

1. The Footnote: A Curious History [Cambridge, MA: Harvard University Press], 1999. pg. 1

The exact format of your footnote depends on   the style guide  you're following. Here are some of the most common style guides for writing papers, as well as the footnote rules for each one.

Of the major style guides, The Chicago Manual of Style (CMS) uses footnotes most often. However, footnotes are occasionally employed in other style guides as well. The main difference is that, while CMS uses footnotes for citation purposes, the Modern Language Association (MLA) and the American Psychological Association (APA) generally rely on them for the provision of additional information.

While MLA style discourages the use of long footnotes or endnotes, the style guide does permit their use for directing readers to other pertinent information on a relevant subject.

The guide recommends that superscript numbers within the text are placed outside any punctuation that might be present (i.e., after a period if the note is at the end of a sentence and after a comma if the note is at the end of a clause). The exception to this is that the superscript numbers should be placed before dashes.

• When a footnote must be placed at the end of a clause, 1 add the number after the comma.
• When a footnote must be placed at the end of a sentence, add the number after the period. 2
• Numbers denoting footnotes should always appear after punctuation, with the exception of one piece of punctuation 3 —the dash.

4.1.2 American Psychological Association (APA)

Like MLA, APA discourages the use of footnotes unless absolutely necessary. Even then, the guide recommends that footnotes only be used to provide content notes (such as providing brief, supplemental information about the text or directing readers to additional information) and to denote copyright permissions. The rules regarding placement of the in-text numbers is the same in APA as in MLA.

4.1.3 The Chicago Manual of Style (CMS)

Of the three main style guides described here, CMS relies on footnotes the most. While CMS does allow the author–date system of in-text referencing (i.e., providing the author's name and the date of publication in parentheses at the end of the phrase, clause, or sentence that references the work), it also offers a citation style in which footnotes or endnotes are employed. In both cases, bibliographies are also required. Whether an author should use the author–date system or footnotes is often decided by the author's professor, journal, or publisher.

As an example, if footnotes are used, the following format should be adhered to when referencing a book in CMS:

Let Us Revise Your Reference Material to Any Style Guide

Try our academic proofreading service , or get a free sample.

To use footnotes in your own book, essay, or article, you must first decide on the most appropriate and logical placement of your footnotes in the text. Add numbers according to your chosen style guide, and be sure to add the numbers directly after the phrase, clause, or sentence to which the corresponding footnote refers.

Most online writing programs (such as Microsoft Word and Google Docs) come with easy-to-use tools for inserting footnotes. Here are step-by-step guides to using footnotes in both these programs.

5.2 How to Add Footnotes in Microsoft Word

Here's how to use footnotes in Microsoft Word 2021:

• Click on the place in the text where you want the first footnote to appear.
• Under the References tab, you'll see the following symbol: AB.1. Beneath this symbol is a button with the words, "Insert Footnote." Click it to create your first footnote.
• After you click that button, two numbers should appear: one number should appear in the main text, and the corresponding number should appear at the bottom of the page.
• Write your citation or additional information next to the number that appears in the footer. Format the information according to the rules of your style guide.
• You can easily return to your place in the text by clicking the number at the beginning of the footnote.

Congrats! You've created your first footnote. You can also adjust the footnote settings (like the numbering) by clicking the arrow beside the Footnotes group. It's really that easy!

Here's how to use footnotes on Google Docs:

• Under the Insert tab, click on "Footnotes."

All you really have to do to create footnotes is click a button—it couldn't be easier!

6. Final Tips and Tricks

To  improve your writing  and avoid cluttering the page, you should use footnotes sparingly and only to provide helpful additions or citations. As previously noted, this information may be considered supplementary, which is why it's best to place it away from the main portion of your writing.

When creating your footnotes, always keep reader convenience in mind, and remember that the footnotes are there to convey helpful information. If your footnotes are excessive or unnecessary, readers are likely to become annoyed—they may even be distracted from the main points of your writing.

Now that you're no longer asking "What are footnotes?" and you know how to use them according to various style guides, footnotes can become a great asset to you as a writer. Be sure to follow the recommendations above, as well as those of your preferred style guide, to ensure that you're using footnotes to their best effect. Don't forget—if you ever need help with writing, our academic articles are here for you!

If you need  professional proofreading , let Scribendi perfect your writing.

Image source: Daria Nepriakhina/Stocksnap.io

Polish Your Writing with Professional Proofreading

About the author.

Scribendi's in-house editors work with writers from all over the globe to perfect their writing. They know that no piece of writing is complete without a professional edit, and they love to see a good piece of writing transformed into a great one. Scribendi's in-house editors are unrivaled in both experience and education, having collectively edited millions of words and obtained numerous degrees. They love consuming caffeinated beverages, reading books of various genres, and relaxing in quiet, dimly lit spaces.

Have You Read?

"The Complete Beginner's Guide to Academic Writing"

Related Posts

How to Cite a Website (and Achieve True Unagi)

How to Create a Bibliography Using Word

Turabian Style: How to Use It

Upload your file(s) so we can calculate your word count, or enter your word count manually.

We will also recommend a service based on the file(s) you upload.

English is not my first language. I need English editing and proofreading so that I sound like a native speaker.

I need to have my journal article, dissertation, or term paper edited and proofread, or I need help with an admissions essay or proposal.

I have a novel, manuscript, play, or ebook. I need editing, copy editing, proofreading, a critique of my work, or a query package.

I need editing and proofreading for my white papers, reports, manuals, press releases, marketing materials, and other business documents.

I need to have my essay, project, assignment, or term paper edited and proofread.

I want to sound professional and to get hired. I have a resume, letter, email, or personal document that I need to have edited and proofread.

 Prices include your personal % discount.

 Prices include % sales tax ( ).

• Master Your Homework
• Do My Homework

A Guide to Writing Research Papers with Footnotes

Footnotes are an integral part of research papers. They provide the reader with additional information about a particular point or source in order to support and back up your arguments. When utilized effectively, footnotes can be used to add depth and perspective to an academic paper. This guide will provide readers with a detailed overview on how to write research papers using footnotes, as well as tips on best practices for utilizing them most effectively within their work.

I. Introduction to Research Papers and Footnotes

Ii. understanding the purpose of footnotes in writing a research paper, iii. different types of sources used for citing evidence in a research paper with footnotes, iv. how to structure and format your document for writing with footnotes, v. using software tools to automate the insertion of citation references into your work, vi. tips on avoiding common mistakes when creating citations through the use of footnoting, vii. conclusion: best practices for successful integration of reference notation in a scholarly manuscript.

Research Papers and Footnotes The objective of a research paper is to critically analyze the sources that are cited in order to provide an informed, scholarly opinion. A key component of research papers involves including footnotes as citations for the information used within the paper. In essence, this approach allows readers to access more detailed and varied information related to topics being discussed in-depth within a text.

A footnote should always include the author’s name or abbreviation (e.g., JW), date published (in parentheses) followed by page number(s) where content was found (e.g., John Wilson 2020: 23). As these details can be cumbersome when working with multiple works from different authors at once, it is highly recommended that researchers use reference management software such as Zotero or Endnote for their writing needs. These applications allow users store citation data quickly and accurately across many mediums – particularly helpful if your research spans several decades!

Additionally, while most modern day styles have shifted towards parenthetical citations instead of traditional footnotes; certain disciplines still require students cite texts exclusively through the latter method – making them an essential skill set even in today’s digital world!

When writing a research paper, footnotes are an important tool for providing additional information to the reader. Footnotes can be used in several ways: to provide evidence and backup arguments, expand on ideas or concepts from sources without overly disrupting the flow of your own work, and support definitions with reputable references.

• Evidence & Backup Arguments – Footnotes can be used as primary source material when crafting a well-researched argument. This is especially helpful when making bold statements or introducing controversial topics. Supporting these assertions with reliable facts and data helps build credibility among readers.

For example , if you’re writing a research paper about gun control laws in the United States, citing credible studies within footnotes will help substantiate any claims made regarding their effects on crime rates.

• Expanding Ideas & Concepts – Writing long stretches of text about various topics discussed in other works can often lead to excess redundancy that leaves readers bored or confused. If there’s an idea or concept discussed by another author that needs further elaboration but is too lengthy for inclusion into your original piece then it should instead be referred to using a footnote.

For instance , while discussing chemical reaction pathways related to photosynthesis you could use one sentence containing all relevant details followed by “[insert Author Name] discusses this mechanism at length [see footnote xyz].” By directing readers’ attention towards previously established knowledge via footnotes they’ll not only avoid confusion but also gain insight into different perspectives presented elsewhere.

Primary Sources are documents or other materials which provide the first-hand information about an event, time period, person, etc. These can be in different forms such as letters, newspaper articles and reports from organizations or government institutions. In a research paper with footnotes these primary sources should always be included to support any claims made within the paper. Examples of Primary Sources:

• Book published by an author during their lifetime
• Speeches given by historical figures

Secondary Sources , on the other hand, refer to material that is derived from analysis of primary sources. This could include books written about events based off evidence found in primary source documents or magazine/newspaper pieces discussing current issues supported through facts originating from original source material. Examples of Secondary Sources:

• Biographies written after someone’s death

Creating Footnotes The use of footnotes in a research paper provides an additional source for the reader to refer to and look up citations. They are also a great way of providing supplementary information that does not necessarily fit into the body of your essay, yet is still relevant or important enough to be included. To create effective footnotes, you must first identify what type of footnote you want to include in your writing; whether it’s factual-based (e.g., citing sources), analytical (commenting on certain aspects) or personal opinion-related (expressing opinions). Depending on these factors, you can structure the contents accordingly.

Structuring & Formatting Your Document with Footnotes Once identified which type(s) will best suit your purpose, you should then move onto formatting them correctly within the document itself: add superscript numbers after any direct quotes used from sources as well as at other places where appropriate throughout your writing; cite bibliographical details related to cited resources below each respective number; separate facts and analysis by using subheadings before further discussing each concept in detail; avoid excessively long paragraphs so readers can easily locate pertinent points discussed through concise phrasing – if needed break them down into bullet point lists etc.; choose fonts consistent with those adopted for main text such as Times New Roman size 12 with 1/2 inch indentation. In summary, following the right format while creating footnotes helps make more sense out of complex texts making it easier both for writers and their intended audiences alike.

In the age of digital technology, software tools have become invaluable for automating tedious tasks. While writing an academic paper, one often has to cite a large number of references. This can take up a lot of time and cause considerable headaches if done manually. Fortunately, there are now various software solutions available that can automate the insertion of citation references into your work.

One such program is Referencer – a web-based tool designed specifically to save authors from having to painstakingly insert citations in their research papers by hand. 1 All you need do is enter your source material into its database and it will generate bibliographies according to whatever style you desire (e.g., APA or MLA). Furthermore, citing sources becomes as easy as clicking on entries in the ‘Cite’ menu when typing out your document 2 . For instance: To create footnotes for websites Referencer automatically generates HTML tags.

• “With Referencer’s click-and -cite feature enabled… inserting new cites takes only seconds.” (Langridge et al., 2016)

Apart from automated reference generation other features include realtime collaboration between coauthors as well as compatibility with most common Word processor programs. 3 .This allows team members working on different machines no matter where they are located around the world share documents without difficulty so they may continue editing them jointly . Indeed this type of convenience comes at no additional cost making Referencer ideal for university students collaborating on projects together!

Developing a Systematic Approach: To ensure accuracy and reliability when creating citations, it is recommended to develop a systematic approach. Start by establishing which style guide will be used for the paper (e.g., MLA, APA). This should then be followed consistently throughout the document. As an additional measure of quality control, check any newly-developed citations against existing ones from reliable sources such as published research papers.

Exploring Automation Options: Footnoting can also be automated through tools like Microsoft Word’s “References” tab or websites like EasyBib and Zotero that generate bibliographies in various formats with minimal input required on your part. Although these technologies offer significant convenience benefits compared to manual formatting techniques, they may not always yield accurate results since citation styles continue to evolve over time; therefore periodic review of generated documents is highly recommended.

Conclusion: Best Practices for Successful Integration Of Reference Notation In A Scholarly Manuscript

Having an effective reference notation system is essential to successful academic writing. It not only helps readers understand the flow of information, but also serves as a means of verification and validation by which authors can back up their claims with reliable evidence from credible sources. While there are numerous systems available for referencing material in scholarly manuscripts, this article has discussed some best practices that should be considered when selecting one.

For instance, adhering to proper guidelines set forth by publication style guides ensures consistency throughout a paper’s text and citation sections. Additionally, it is important that writers make use of high quality databases like JSTOR or EBSCOhost when looking up citations; these provide access to respected peer-reviewed research papers complete with footnotes [1] . Finally, if possible it would be beneficial to have other editors double check references before submitting an article; they may catch any errors overlooked during the initial review process. By considering these points while integrating reference notation into scholarly manuscripts researchers can improve overall accuracy and enhance reader comprehension.

[1] Hinchliffe LJ., What Are Footnotes? Journal Of Documentation 59 (3): 363–384

At the end of this article, we have gained an understanding of how to properly format and compose a research paper with footnotes. In addition to acquiring knowledge about citation styles, readers now know how these notes can be used for further exploring into particular topics or providing additional evidence and support for one’s argument. Moreover, readers understand that there is more than one style when it comes to citing sources which necessitates critical thinking in order to determine which would be most suitable depending on the context. This guide has provided sufficient information so that learners can take away something valuable from their experience in writing research papers with footnotes; thus equipping them with important skills they will carry over into future assignments.

Home / Guides / Citation Guides / APA Format / How to do APA footnotes

How to do APA footnotes

Footnotes are a way for the author to provide additional content to their papers without distracting the reader from the text. The information in footnotes is different from the information provided in APA annotated bibliographies . Footnotes can be content based, providing a little more insight on an idea you raise in the text, or they can be used to provide copyright attribution for long quotes and passages.

Properly formatted APA footnotes can be placed at the bottom of the page. Alternatively, you can put them on their own page after the references. This guide on footnotes, end notes, and parentheticals provides information about the differences between these different types of notes. Either way, it’s important to know how to use footnotes properly.

In this guide, students can learn about the different uses for footnotes as well as how to format footnotes according to APA Style. All of the information here comes straight from the 7th edition of the Publication Manual .

Why use footnotes? What information goes into them?

There are two primary reasons why an author would use footnotes:

1. Using a footnote for content

As mentioned above, there are a few different ways to use footnotes. The more common way is when an author wants to provide extra insight on an idea without disrupting the flow of the text. This is called a content footnote.

In this case, you would write a a couple sentences about the extra insight. For example:

______________________

1 This data refers to the situation in 2010, and it includes emissions from industrial processes. Emissions from the latter are released during the physical and chemical transformation of materials like clinker production. Since these industrial production processes are also consumers of energy, here we made the choice to combine them with CO2 emissions from fossil fuel combustion.

2. Using a footnote for copyright attribution

When you are reproducing a portion of a copyrighted work, like an extended passage from a book or journal, it is necessary to provide copyright attribution. This can be done inside a footnote. The footnote is used instead of a parenthetical in-text citation, and you will still need to add the source as an entry in the reference list.

If it is an image or graph you are reproducing, copyright attribution can go in the figure note or table note.

A copyright footnote should start with “ From ” or “ Adapted from ” and the format will change slightly depending on the source.

Here is a template for copyright attribution for a website followed by two examples:

1 From  Webpage title , by Group Author OR Author FirstMiddleName Initials. Author Surname. Year Published, Website Name (URL).

*Note: If the Group Author and Website Name are the same, omit the Website Name slot.

2 From  First images from the James Webb Space Telescope , by National Aeronautics and Space Administration, 2022 (https://www.nasa.gov/webbfirstimages).

3 From  Question of what now for Syria remains as vexed as ever , by M. Chulov. 2022, The Guardian (https://www.theguardian.com/world/2022/jul/19/question-of-what-now-for-syria-remains-as-vexed-as-ever).

Endnotes vs. footnotes: What’s the difference?

According to APA Style, the author may choose to place the footnotes on the bottom of the page on which the callout appears or at the end of the paper on their own page(s).

“Endnotes” is a function on many word processors that inserts callouts and place the notes at the end of the document. While this is the same idea as footnotes, APA calls for a specially-formatted footnotes page.

To place the footnotes at the end of your document, check the preferences of the footnote function. You should be able to select “End of Document” instead of “End of Page.”

How to format APA footnotes

Always use the footnotes function of your word processor to insert footnotes. This will make it much easier to keep track of everything even as page content changes.

How to format footnotes correctly:

• Always use the footnotes function.
• The callout should be in superscript, like this. 1
• The callout should come after the punctuation, like this. 2
• If there’s a dash 3 —the callout comes before the punctuation, not after.
• All callouts should appear in numerical order, like this. 4

APA footnotes example

Now let’s have a look at what properly formatted APA footnotes look like in action.

Here is an example of a concise, relevant, and properly formatted footnote from “The role of renewable energy in the global economy transformation,” published in Energy Strategy Reviews.

. . . A transition away from fossil fuels to low-carbon solutions will play an essential role, as energy-related carbon dioxide (CO2) emissions represent two-thirds of all greenhouse gases (GHG). 1

In this example, the footnotes function automatically created a dividing line at the bottom of the document. It has also reduced the font size by 1pt, which is neither required nor discouraged by APA.

The reason this is a good example, however, is because the footnote provides supplemental information that is both relevant and substantive.  The information would have been too distracting to appear in the main text, but it provides helpful insight on the author’s research method.

Published October 28, 2020.

APA Formatting Guide

APA Formatting

• Annotated Bibliography
• Block Quotes
• et al Usage
• In-text Citations
• Multiple Authors
• Paraphrasing
• Page Numbers
• Parenthetical Citations
• Reference Page
• Sample Paper
• APA 7 Updates
• View APA Guide

Citation Examples

• Book Chapter
• Journal Article
• Magazine Article
• Newspaper Article
• Website (no author)
• View all APA Examples

How useful was this post?

Click on a star to rate it!

We are sorry that this post was not useful for you!

Let us improve this post!

Tell us how we can improve this post?

You can include more than one footnote on the same page in APA style. There is no restriction on the number of footnotes to be included on a page. Depending upon the number of footnotes on the page, the text area of the page will be automatically adjusted to fit the footnotes.

Footnotes in APA are used to provide the reader some additional information about the idea or the element being discussed. Footnotes are used in all types of publications such as journal articles, book chapters, and conference papers.

Two types of footnotes are used in APA style: content footnotes and copyright attribution footnotes. A content footnote provides additional explanation or information about something mentioned in the text, while a copyright attribution footnote provides copyright information for lengthy content that has been reprinted in the text. For both types, the in-text citation remains the same. Remember the following guidelines when you want to cite a footnote:

• Footnotes (whether content footnotes or copyright attribution footnotes) are numbered consecutively in the order in which they appear in the text.
• Use superscript Arabic numerals (1, 2, 3, etc.) to designate a footnote callout.
• This is a footnote. 1
• In this footnote, 2 the author tries to clarify the idea.
• A footnote callout—unlike in-text reference citation 3 —is simple to add.
• You should not add space before the footnote callout.
• If you want to refer to the same footnote again in the text, do not add any superscript Arabic numeral. Instead, write “see Footnote 3.” In this case, the footnote description need not be given again.

Note that a footnote should have only one idea. If you want to add more information, it is advisable to add the content in the text or create an appendix.

APA Citation Examples

Writing Tools

Citation Generators

Other Citation Styles

Plagiarism Checker

Upload a paper to check for plagiarism against billions of sources and get advanced writing suggestions for clarity and style.

Get Started

Headnotes or Footnotes? A Quick Guide on Organizing Your Research Paper

In academic writing, footnotes, endnotes, and headnotes provide additional information on a particular topic. They are placed in the document as a supplement to the main text. These notes can be inserted into the document as a footer or at the end of a chapter.

The notes should be kept as brief as possible. The objective is to provide more information without distracting the reader. We discuss the different types of notes, how to use them, and their pros and cons.

What Are They and Why Use Them?

A footnote is a reference placed at the bottom of a page or footer. They are referenced in the text in the same way as a citation i.e. the referenced text is followed by a superscript numeral ( 1 ), which corresponds to the numbered footnote at the bottom of the page. When writing your research paper , you would use a footnote for two major reasons:

• To cite sources of facts or quotations
• Provide additional information  

The two types of footnotes are:

• Content : Supplements or simplifies substantive information; not detailed.
• Copyright permission : Cites quoted text and any reprinted materials used in the text.

The format of footnotes is fairly standard (see below for specific rules) and is the same as that for references as follows:

Adrian Johns.  The Nature of the Book: Print and Knowledge in the Making (Chicago: University of Chicago Press, 1998), 623.

When citing the same reference again, the footnote can be shortened as follows:

Johns.  Nature of the Book , 384–85.

Some older journals use “ ibid ” instead of a shortened version of the reference. Ibid is short for the Latin “ ibidem” , which means “in the same place.” This format was previously used in most printed text but rarely used now.

Endnotes are much the same as footnotes except that they are placed at the end your research paper instead of at the bottom of a page. In books, they can be placed after each chapter or at the end of the book.

In many cases, the book publisher decides the best placement. Endnotes, as footnotes, are numerically noted in superscript. The format is the same as that for footnotes.

Headnotes are used as introductions in legal documents or as summaries of the text that follows them. In academic writing, headnotes are explanatory notes included with tables and figures. They are placed below the table itself or just below the figure title and typed in a font size that is smaller than the main text (e.g., 8- or 10-point font). Headnotes are used to define acronyms used, units of measure, significance, etc. Because tables and figures should be able to “stand alone” without the main text, headnotes should always be used.

Format for Footnotes, Endnotes, and Headnotes

Although the format for footnotes and endnotes is almost similar, there are specific rules depending on the journal where the paper is submitted. Most scientific journals use specific reference formats; however, some style guides do not allow footnotes and endnotes.

For example, the Modern Language Association (MLA), which deals specifically with disciplines in the humanities allows limited use of footnotes. These are to provide the reader with other sources for more information on the subject covered. The MLA style for these notes is shown in the example below and the number corresponds to the superscript number noted in the referenced text:

See [name of author], especially chapters 3 and 4, for an insightful analysis of this trend.

MLA suggests using “content” footnotes when necessary to avoid interrupting the text with an explanation or other details.

In contrast, the American Psychological Association (APA), the style for the behavioral and social sciences, does not usually allow footnotes. Your particular journal guidelines will provide that information.

A third style guide, the American Medical Association (AMA) , is used mostly with papers in the biological and medical sciences. AMA also discourages the use of footnotes but allows them on the title page. The information on the title page would include the authors’ names and affiliations, corresponding author, members of affiliated groups, etc.

Pros and Cons

Scientific papers do not usually include footnotes. Endnotes may be used sometimes, but sparingly. Other disciplines, such as law and history, still use them regularly . There are pros and cons to each.

The advantages of using footnotes are that they provide the reader with a fast reference and link to additional information. They are easy to insert and will automatically print. The advantage of using endnotes instead of footnotes is that their placement is less distracting. They also provide the reader with an easy reference list in one place.

According to the Chicago Manual of Style (CMOS), endnotes are preferred to footnotes simply because they don’t clutter up a page. CMOS does caution that it can seem disconcerting to a reader to see pages of notes at the end of a chapter or book, so use them sparingly.

Again, another disadvantage to footnotes is that they tend to interrupt the flow of the text. The reader might feel that he must stop and look at the note before moving on, which can be very distracting. Some disadvantages to endnotes are that the reader must turn to the end of the text or chapter to find the additional information. In books with several chapters, this can be tedious, especially if the endnotes are renumbered in each chapter.

As for headnotes, there are really no drawbacks to using them in tables and figures. They offer the reader helpful information that is readily available as they read the data or interpret a figure.

Bottom Line

The style to which you conform when writing your paper will ultimately depend on the journal’s guidelines. Pay careful attention to its protocols for citations and references and whether it will allow footnotes and endnotes. If allowed, be mindful of the disadvantages of both and consider either greatly limiting them or eliminating them altogether.

Rate this article Cancel Reply

Your email address will not be published.

Enago Academy's Most Popular Articles

• Industry News
• Trending Now

ICMJE Updates Guidelines for Medical Journal Publication, Emphasizes on Inclusivity and AI Transparency

The International Committee of Medical Journal Editors (ICMJE) recently updated its recommendations for best practices…

• AI in Academia
• Infographic
• Manuscripts & Grants
• Reporting Research

Can AI Tools Prepare a Research Manuscript From Scratch? — A comprehensive guide

As technology continues to advance, the question of whether artificial intelligence (AI) tools can prepare…

• Manuscript Preparation
• Publishing Research

How to Choose Best Research Methodology for Your Study

Successful research conduction requires proper planning and execution. While there are multiple reasons and aspects…

• Journal Guidelines

How to Use CSE Style While Drafting Scientific Manuscripts

What is CSE Style Guide? CSE stands for Council of Science Editors. Originated in the…

How to Create Publication-ready Manuscripts Using AIP Style Guide

What is AIP Style Guide? The AIP style guide refers to a specific citation format…

What Are the Unique Characteristics of the AMA Style Guide?

Sign-up to read more

Subscribe for free to get unrestricted access to all our resources on research writing and academic publishing including:

• 2000+ blog articles
• 50+ Webinars
• 10+ Expert podcasts
• 50+ Infographics
• 10+ Checklists
• Research Guides

We hate spam too. We promise to protect your privacy and never spam you.

I am looking for Editing/ Proofreading services for my manuscript Tentative date of next journal submission:

As a researcher, what do you consider most when choosing an image manipulation detector?

How to Format Your Research Paper

• APA 7 Paper Format
• MLA Paper Format
• Chicago Paper Format

How to Create Footnotes

• Hanging Indents
• Ask a Librarian

What Are They

Footnotes are short numbered notes that are placed at the bottom of the page in an essay or article. They are used for a variety of reasons including, citing materials, providing notes on a source or topic, and to acknowledge copyright status. 

Although you will find footnotes in many journal articles, they are not typically required in APA or MLA formatted essays. They are most heavily used when applying the CMOS style. 

For information on footnotes in the  Publication Manual of the American Psychological Association  see section 2.13 "Footnotes.". For information on using footnotes with MLA see the " Using Notes in MLA Style " article from the MLA Style Center .  For information on footnotes in  The Chicago Manual of Style  see Chapter 14 "Notes and Bibliography."

Using Google Docs:

• Cómo incorporar notas al calce en Google Docs Vea éste video en español.

Using Microsoft Word:

• Cómo incorporar notas al calce en Microsoft Word Vea éste video en español.
• << Previous: Chicago Paper Format
• Next: Hanging Indents >>
• Last Updated: Mar 29, 2024 2:49 PM
• URL: https://necc.mass.libguides.com/formatting

To cite this LibGuide use the following templates:

APA : Northern Essex Community College Library. (Date updated). Title of page . Title of LibGuide. URL

MLA : Northern Essex Community College Library. "Title of Page." Title of LibGuide, Date updated, URL.

Purdue Online Writing Lab Purdue OWL® College of Liberal Arts

Footnotes and Endnotes

Welcome to the Purdue OWL

This page is brought to you by the OWL at Purdue University. When printing this page, you must include the entire legal notice.

Copyright ©1995-2018 by The Writing Lab & The OWL at Purdue and Purdue University. All rights reserved. This material may not be published, reproduced, broadcast, rewritten, or redistributed without permission. Use of this site constitutes acceptance of our terms and conditions of fair use.

Note:  This page reflects APA 6, which is now out of date. It will remain online until 2021, but will not be updated. The equivalent APA 7 page can be found here .

APA does not recommend the use of footnotes and endnotes because they are often expensive for publishers to reproduce. However, if explanatory notes still prove necessary to your document, APA details the use of two types of footnotes: content and copyright.

When using either type of footnote, insert a number formatted in superscript following almost any punctuation mark. Footnote numbers should not follow dashes ( — ), and if they appear in a sentence in parentheses, the footnote number should be inserted within the parentheses.

When using the footnote function in a word-processing program like Microsoft Word, place all footnotes at the bottom of the page on which they appear. Footnotes may also appear on the final page of your document (usually this is after the References page). Center the word “Footnotes” at the top of the page. Indent five spaces on the first line of each footnote. Then, follow normal paragraph spacing rules. Double-space throughout.

Content Notes

Content notes provide supplemental information to your readers. When providing content notes, be brief and focus on only one subject. Try to limit your comments to one small paragraph.

Content notes can also point readers to information that is available in more detail elsewhere.

Copyright Permission Notes

If you quote more than 500 words of published material or think you may be in violation of “Fair Use” copyright laws, you must get the formal permission of the author(s). All other sources simply appear in the reference list.

Follow the same formatting rules as with content notes for noting copyright permissions. Then attach a copy of the permission letter to the document.

If you are reproducing a graphic, chart, or table, from some other source, you must provide a special note at the bottom of the item that includes copyright information. You should also submit written permission along with your work. Begin the citation with “ Note .”

Note . From “Title of the article,” by W. Jones and R. Smith, 2007, Journal Title , 21, p. 122. Copyright 2007 by Copyright Holder. Reprinted with permission.

We use cookies on this site to enhance your experience

By clicking any link on this page you are giving your consent for us to set cookies.

A link to reset your password has been sent to your email.

Back to login

We need additional information from you. Please complete your profile first before placing your order.

Thank you. payment completed., you will receive an email from us to confirm your registration, please click the link in the email to activate your account., there was error during payment, orcid profile found in public registry, download history, how to use footnotes and endnotes in academic papers.

• Charlesworth Author Services
• 28 January, 2022

How to use and write Footnotes and Endnotes in academic papers

Research papers and reports often include adjuncts such as charts and graphs, tables , diagrams, a hierarchy of headings, citations and references etc. Notes – whether footnotes or endnotes – are an important adjunct. They primarily serve the role of supplying additional information , which, if weaved into the main text, may reduce its ease of readability .

Footnotes vs. endnotes

• Location : By definition, footnotes appear at the foot of a page on which appears the text they support. Endnotes are placed at the end of a paper, a chapter or a book.
• Space : Footnotes, being located at the bottom of each individual page, are constrained by the amount of space available, whereas endnotes, located right at the end of the text, are afforded much more ample room.
• Amount of information (and flow) : The above point (space) is a useful distinction that tells readers what to expect. Footnotes offer small bits of information that you can choose to take in without breaking stride. You could take a quick look and return to the main text on the same page. On the other hand, endnotes may sometimes contain sizeable amounts of information, but you do not have to interrupt your reading of the main text. You can choose to read them once you have reached the end of the document.

Footnotes: Examples

As discussed, footnotes comprise small bits of information short enough to take in at a glance. Here are a couple of examples to illustrate the function of footnotes.

• A text may mention the name of an organisation and use a footnote to explain that the organisation had a different name in the past.
• A text may mention a certain sum of money in Korean Won, and the corresponding footnotes will indicate the equivalent sum in US dollars. 

Endnotes: Examples

As discussed too, endnotes can comprise much longer parcels of information. Here too are a couple of examples to illustrate the use of endnotes.

• While you may describe a certain method in your main text, you might use an endnote to outline in more detail some other tangential studies , perhaps from a slightly different field, which used that same method , the results they produced and why this may be of interest.
• You might cite an important quotation within the main body of your text and then include in a related endnote the full paragraph or section from which that quotation was taken, thus enabling interested readers to explore the wider context and additional insights if they wish. 

Usage in academic papers and digital documents

As an author of an academic paper, you can choose between footnotes and endnotes depending on how much additional information you want to give. Be aware, however, that footnotes and endnotes, especially endnotes, are virtually never used in research papers in the physical and biological sciences . They may sometimes be used in the social sciences and are more commonly seen in the humanities .

In digital documents, the distinction between footnotes and endnotes and their placement is less important, because the additional information can be connected to the main text with hyperlinks .

Writing footnotes and endnotes

• Superscripts and symbols : Within the main text, both footnotes and endnotes are typically signalled, or announced, using superscript numbers, although, for footnotes, other symbols such as a star or an asterisk (*), a dagger or obelisk (†), a double dagger or diesis (‡), a section mark (§), a pilcrow or blind p (¶), and so on are also employed, usually in that order. Do note that these symbols are never used with endnotes .
• Numbers : With numbered footnotes, the sequence either begins afresh on each page or can be continued throughout within a paper, a chapter (e.g. if the book has chapters by different contributors) or a book. Endnotes are always numbered and the sequence is always continuous .
• Heading for endnotes : Note that the heading for endnotes, when all of them are gathered at the end, is simply ‘Notes’ and not ‘Endnotes’.
• Footnotes for tables : Table titles, column or row headings, or specific cells within a table can all carry footnotes. Those footnotes are explained at the foot of the table in question and not at the foot of a page on which the table appears.

As a scholar, try to familiarise yourself with the idea of notes and their related mechanics as early on in your writing process as possible. These details can seem numerous at first, but once you master them, you will be able to spontaneously incorporate them into your writing.

Maximise your publication success with Charlesworth Author Services.

Charlesworth Author Services, a trusted brand supporting the world’s leading academic publishers, institutions and authors since 1928. 

To know more about our services, visit: Our Services

Share with your colleagues

Related articles.

How to use Tables and Figures in academic writing

Charlesworth Author Services 08/01/2017 00:00:00

Preparing references and citations

Charlesworth Author Services 01/11/2016 00:00:00

From writing to submission: Simple strategies to Make Your Scientific Article (Read) Better

Charlesworth Author Services 10/11/2021 00:00:00

Related webinars

Bitesize Webinar: How to write and structure your academic article for publication: Module 4: Prepare to write your academic paper

Charlesworth Author Services 04/03/2021 00:00:00

Bitesize Webinar: How to write and structure your academic article for publication: Module 8: Write a strong methods section

Charlesworth Author Services 05/03/2021 00:00:00

Bitesize Webinar: How to write and structure your academic article for publication: Module 9:Write a strong results and discussion section

Bitesize Webinar: How to write and structure your academic article for publication: Module 10: Enhance your paper with visuals

Article sections.

Writing a strong Methods section

Charlesworth Author Services 12/03/2021 00:00:00

Strategies for writing the Results section in a scientific paper

Charlesworth Author Services 27/10/2021 00:00:00

Writing an effective Discussion section in a scientific paper

'ZDNET Recommends': What exactly does it mean?

ZDNET's recommendations are based on many hours of testing, research, and comparison shopping. We gather data from the best available sources, including vendor and retailer listings as well as other relevant and independent reviews sites. And we pore over customer reviews to find out what matters to real people who already own and use the products and services we’re assessing.

When you click through from our site to a retailer and buy a product or service, we may earn affiliate commissions. This helps support our work, but does not affect what we cover or how, and it does not affect the price you pay. Neither ZDNET nor the author are compensated for these independent reviews. Indeed, we follow strict guidelines that ensure our editorial content is never influenced by advertisers.

ZDNET's editorial team writes on behalf of you, our reader. Our goal is to deliver the most accurate information and the most knowledgeable advice possible in order to help you make smarter buying decisions on tech gear and a wide array of products and services. Our editors thoroughly review and fact-check every article to ensure that our content meets the highest standards. If we have made an error or published misleading information, we will correct or clarify the article. If you see inaccuracies in our content, please report the mistake via this form .

ChatGPT vs. Copilot: Which AI chatbot is better for you?

Since ChatGPT launched in November 2022, AI chatbots have been the talk of the internet. ChatGPT's abilities to generate text , talk conversationally, write code , and do so much more have driven huge demand for the chatbot. 

Naturally, seeing ChatGPT's massive success, other companies rushed to compete in the generative AI space . 

Also: The best AI chatbots: ChatGPT and other noteworthy alternatives

Shortly after ChatGPT's launch, Microsoft announced its Bing search engine  was getting an AI chatbot, known at the time as Bing Chat but later renamed to Copilot . Despite being designed for the same purpose, Copilot had some major advantages over ChatGPT, with the biggest perk being access to the internet for free.

In May 2024, however, OpenAI leveled the playing field, unveiling upgrades to the free version of ChatGPT that matched Copilot's features and then some. So, which chatbot should you use? To help make your decision easier, we compared ChatGPT (the free version) and Copilot.

You should use ChatGPT if...

1. you want to experience the hype for yourself.

Since its launch, ChatGPT has been the leading AI chatbot and has served as the blueprint for the many AI chatbot alternatives that have entered the space.

Also:  AI business is booming: ChatGPT Enterprise now boasts 600,000+ users

As a result, it has the most name recognition and popularity, and the hype is well deserved. ChatGPT is a capable chatbot that can provide insight and assistance on various topics, including technical areas such as  writing  and  coding . 

ChatGPT is currently free to use and open to everyone. Therefore, if you are curious about how an AI chatbot could benefit you, you might as well try the one that started the boom -- and find out what you like and need in a chatbot assistant. 

2. You want free access to OpenAI's latest model, GPT-4o

The most compelling reason to try ChatGPT is to experience GPT-4o. In May 2024, OpenAI unveiled its latest and most advanced flagship model -- GPT-4o. As the name implies, the model has the same intelligence as GPT-4, which is impressive because GPT-4 outperformed its predecessor on nearly every benchmark, including reasoning, coding, English, and more. 

Additionally, the "o" in the new model's title is a nod to its multimodal capabilities, which allow it to understand text, audio, image, and video inputs, and output text, audio, and images.

Also:  6 ways OpenAI just supercharged ChatGPT for free users

With the upgrade, free users can take advantage of features previously limited to paid users, such as getting responses from the web, uploading files and images, and accessing Memory and the GPT Store. 

Eventually, free ChatGPT users will also be able to use the new Voice Mode, supercharged with GPT-4o's video and audio capabilities, to provide a more conversational experience and use the context from their environment to provide voice answers. 

You should use Copilot if...

1. you want footnotes automatically added.

One of the biggest problems with ChatGPT is the inability to confirm the accuracy of its responses, as the tool does not provide sources. Even though the May update to ChatGPT made it possible for the chatbot to browse the internet, ChatGPT still only provides links in some instances.

Also:  AI taking on more work doesn't mean it replaces you. Here are 12 reasons to worry less

When you ask a question in Copilot, the chatbot automatically includes footnotes in its generated answers that lead you back to the source of its response. Click the footnote, and you will be sent directly to the web article in another tab. 

This capability is useful when you use the chatbot to learn more about a subject. It's easy to explore further by clicking the provided links, especially if you want to learn more about certain parts of the answer.

2. You want more visual responses 

Copilot resembles a search engine. The chatbot's responses include plenty of links and, in many instances, photos. The visual components add to the answers by providing context and making the user experience more engaging. The graphics the tool creates also often include additional information.

Alternatives to consider

Generative AI tools on the market offer different strengths. Here are others you can try:

Artificial Intelligence

Chatgpt vs. microsoft copilot vs. gemini: which is the best ai chatbot, what is copilot (formerly bing chat) here's everything you need to know, microsoft copilot vs. copilot pro: is the subscription fee worth it.

Suggestions or feedback?

MIT News | Massachusetts Institute of Technology

• Machine learning
• Social justice
• Black holes
• Classes and programs

Departments

• Aeronautics and Astronautics
• Brain and Cognitive Sciences
• Architecture
• Political Science
• Mechanical Engineering

Centers, Labs, & Programs

• Abdul Latif Jameel Poverty Action Lab (J-PAL)
• Picower Institute for Learning and Memory
• Lincoln Laboratory
• School of Architecture + Planning
• School of Engineering
• School of Humanities, Arts, and Social Sciences
• Sloan School of Management
• School of Science
• MIT Schwarzman College of Computing

Modular, scalable hardware architecture for a quantum computer

Press contact :, media download.

*Terms of Use:

Images for download on the MIT News office website are made available to non-commercial entities, press and the general public under a Creative Commons Attribution Non-Commercial No Derivatives license . You may not alter the images provided, other than to crop them to size. A credit line must be used when reproducing images; if one is not provided below, credit the images to "MIT."

Previous image Next image

Quantum computers hold the promise of being able to quickly solve extremely complex problems that might take the world’s most powerful supercomputer decades to crack.

But achieving that performance involves building a system with millions of interconnected building blocks called qubits. Making and controlling so many qubits in a hardware architecture is an enormous challenge that scientists around the world are striving to meet.

Toward this goal, researchers at MIT and MITRE have demonstrated a scalable, modular hardware platform that integrates thousands of interconnected qubits onto a customized integrated circuit. This “quantum-system-on-chip” (QSoC) architecture enables the researchers to precisely tune and control a dense array of qubits. Multiple chips could be connected using optical networking to create a large-scale quantum communication network.

By tuning qubits across 11 frequency channels, this QSoC architecture allows for a new proposed protocol of “entanglement multiplexing” for large-scale quantum computing.

The team spent years perfecting an intricate process for manufacturing two-dimensional arrays of atom-sized qubit microchiplets and transferring thousands of them onto a carefully prepared complementary metal-oxide semiconductor (CMOS) chip. This transfer can be performed in a single step.

“We will need a large number of qubits, and great control over them, to really leverage the power of a quantum system and make it useful. We are proposing a brand new architecture and a fabrication technology that can support the scalability requirements of a hardware system for a quantum computer,” says Linsen Li, an electrical engineering and computer science (EECS) graduate student and lead author of a paper on this architecture.

Li’s co-authors include Ruonan Han, an associate professor in EECS, leader of the Terahertz Integrated Electronics Group, and member of the Research Laboratory of Electronics (RLE); senior author Dirk Englund, professor of EECS, principal investigator of the Quantum Photonics and Artificial Intelligence Group and of RLE; as well as others at MIT, Cornell University, the Delft Institute of Technology, the U.S. Army Research Laboratory, and the MITRE Corporation. The paper appears today in Nature .

Diamond microchiplets

While there are many types of qubits, the researchers chose to use diamond color centers because of their scalability advantages. They previously used such qubits to produce integrated quantum chips with photonic circuitry.

Qubits made from diamond color centers are “artificial atoms” that carry quantum information. Because diamond color centers are solid-state systems, the qubit manufacturing is compatible with modern semiconductor fabrication processes. They are also compact and have relatively long coherence times, which refers to the amount of time a qubit’s state remains stable, due to the clean environment provided by the diamond material.

In addition, diamond color centers have photonic interfaces which allows them to be remotely entangled, or connected, with other qubits that aren’t adjacent to them.

“The conventional assumption in the field is that the inhomogeneity of the diamond color center is a drawback compared to identical quantum memory like ions and neutral atoms. However, we turn this challenge into an advantage by embracing the diversity of the artificial atoms: Each atom has its own spectral frequency. This allows us to communicate with individual atoms by voltage tuning them into resonance with a laser, much like tuning the dial on a tiny radio,” says Englund.

This is especially difficult because the researchers must achieve this at a large scale to compensate for the qubit inhomogeneity in a large system.

To communicate across qubits, they need to have multiple such “quantum radios” dialed into the same channel. Achieving this condition becomes near-certain when scaling to thousands of qubits. To this end, the researchers surmounted that challenge by integrating a large array of diamond color center qubits onto a CMOS chip which provides the control dials. The chip can be incorporated with built-in digital logic that rapidly and automatically reconfigures the voltages, enabling the qubits to reach full connectivity.

“This compensates for the in-homogenous nature of the system. With the CMOS platform, we can quickly and dynamically tune all the qubit frequencies,” Li explains.

Lock-and-release fabrication

To build this QSoC, the researchers developed a fabrication process to transfer diamond color center “microchiplets” onto a CMOS backplane at a large scale.

They started by fabricating an array of diamond color center microchiplets from a solid block of diamond. They also designed and fabricated nanoscale optical antennas that enable more efficient collection of the photons emitted by these color center qubits in free space.

Then, they designed and mapped out the chip from the semiconductor foundry. Working in the MIT.nano cleanroom, they post-processed a CMOS chip to add microscale sockets that match up with the diamond microchiplet array.

They built an in-house transfer setup in the lab and applied a lock-and-release process to integrate the two layers by locking the diamond microchiplets into the sockets on the CMOS chip. Since the diamond microchiplets are weakly bonded to the diamond surface, when they release the bulk diamond horizontally, the microchiplets stay in the sockets.

“Because we can control the fabrication of both the diamond and the CMOS chip, we can make a complementary pattern. In this way, we can transfer thousands of diamond chiplets into their corresponding sockets all at the same time,” Li says.

The researchers demonstrated a 500-micron by 500-micron area transfer for an array with 1,024 diamond nanoantennas, but they could use larger diamond arrays and a larger CMOS chip to further scale up the system. In fact, they found that with more qubits, tuning the frequencies actually requires less voltage for this architecture.

“In this case, if you have more qubits, our architecture will work even better,” Li says.

The team tested many nanostructures before they determined the ideal microchiplet array for the lock-and-release process. However, making quantum microchiplets is no easy task, and the process took years to perfect.

“We have iterated and developed the recipe to fabricate these diamond nanostructures in MIT cleanroom, but it is a very complicated process. It took 19 steps of nanofabrication to get the diamond quantum microchiplets, and the steps were not straightforward,” he adds.

Alongside their QSoC, the researchers developed an approach to characterize the system and measure its performance on a large scale. To do this, they built a custom cryo-optical metrology setup.

Using this technique, they demonstrated an entire chip with over 4,000 qubits that could be tuned to the same frequency while maintaining their spin and optical properties. They also built a digital twin simulation that connects the experiment with digitized modeling, which helps them understand the root causes of the observed phenomenon and determine how to efficiently implement the architecture.

In the future, the researchers could boost the performance of their system by refining the materials they used to make qubits or developing more precise control processes. They could also apply this architecture to other solid-state quantum systems.

This work was supported by the MITRE Corporation Quantum Moonshot Program, the U.S. National Science Foundation, the U.S. Army Research Office, the Center for Quantum Networks, and the European Union’s Horizon 2020 Research and Innovation Program.

Share this news article on:

Related links.

• Quantum Photonics and AI Laboratory
• Terahertz Integrated Electronics Group
• Research Laboratory of Electronics
• Microsystems Technology Laboratories
• Department of Electrical Engineering and Computer Science

Related Topics

• Computer science and technology
• Quantum computing
• Electronics
• Semiconductors
• Electrical Engineering & Computer Science (eecs)
• National Science Foundation (NSF)

Related Articles

Scaling up the quantum chip

Quantum sensing on a chip

Toward mass-producible quantum computers

Previous item Next item

More MIT News

MIT Corporation elects 10 term members, two life members

Read full story →

Diane Hoskins ’79: How going off-track can lead new SA+P graduates to become integrators of ideas

Chancellor Melissa Nobles’ address to MIT’s undergraduate Class of 2024

Noubar Afeyan PhD ’87 gives new MIT graduates a special assignment

Commencement address by Noubar Afeyan PhD ’87

President Sally Kornbluth’s charge to the Class of 2024

• More news on MIT News homepage →

Massachusetts Institute of Technology 77 Massachusetts Avenue, Cambridge, MA, USA

• Map (opens in new window)
• Events (opens in new window)
• People (opens in new window)
• Careers (opens in new window)
• Accessibility
• Social Media Hub
• MIT on Facebook
• MIT on YouTube
• MIT on Instagram

• Current Students

Journal Highlights Math Research by Professor and Student

The paper , "Modulation instability and wavenumber bandgap breathers in a time layered phononic lattice," is the result of a yearslong collaboration of Chong, Wallace, and two researchers at CalTech. 

Their project focused on how pressure waves can be manipulated by materials. It began in 2021 with a theoretical component—which Wallace worked on for her honors theses, " Instability in a Time-Modulated Lattice .” She is now wrapping up a master's degree in applied mathematics at Columbia University.

Wallace said she reached out to Chong in 2021 to inquire whether she could assist him with a research project. She had excelled in his ordinary differential equations and partial differential equations classes, Chong said, and he was just launching a new research program. So he invited her to work as his research assistant in the summer, a partnership that extended through her senior year.

The work Wallace completed in the first stage of the research program was followed by numerical and experimental simulations, conducted by Chong and his Caltech teammates, which was then backed up with rigorous mathematical proofs in a follow-up paper. “It is a nice spectrum that goes from Evy's analytical computations to computer simulations, the laboratory, and to mathematical proof,” Chong said.

New Insights

Their April 11 paper is garnering attention because it opens new ground in the field of physical energy. Their project specifically focused on understanding how pressure waves are affected by media that varies over time. (Pressure waves, of which the most commonly known is a sound wave, are set off when a mass or object is compressed or decompressed by an external force, such as an explosion.)

Traditionally, researchers have experimented with pressure waves using media that vary in space while they remain constant in time.

For those who are not familiar with his field, Chong came up with a helpful analogy to explain his research, comparing the time-varying media he and Wallace studied to a floor, and the waves passing over the media to a person walking across that floor. “A traditional floor might have a pattern of alternating spots of rough and smooth areas,” he began. “As you’re walking across the floor, how your feet touch the ground will affect how you walk along it.” 

In contrast, a medium that changes over time resembles a wacky floor in an amusement park fun house. Rather than having both smooth and rough patches, it is entirely smooth one moment before shifting to a rough surface, switching back and forth between these two patterns. “How you walk through that medium will be different than walking across a traditional floor,” Chong said. 

Wallace's original calculations showed exactly where this system would be unstable, which is desirable. When a system is stable, “it means the amplitude of the wave doesn't grow,” Chong said, whereas an unstable system results in a wave that amplifies quite a bit.

“What Evy did was to tell us exactly what material parameters would be needed for that to happen, an exact formula for when and under what circumstances you get interesting instability,” he said. “Having a formula that exact is quite rare. Usually you have to approximate it or do some numerical simulations.”

By the way, the materials they studied aren't linoleum or wood panels or anything most of us would recognize as typical flooring materials.  “Our experiment consists of magnets,” Chong said. They looked at variables such as the distance and strength of magnets, as well as the effect of dampening from air friction. “Each of those properties has a parameter that you can tune, so having a formula saying this combination of parameters leads to amplification is very helpful.”

What is of particular interest to researchers working in this area is how to maintain the force of a wave or signal, because over time, all waves degrade. Each electrical circuit, for example, needs an amplifier to work, Chong said. 

“So when talking about the applications of our work, our system would act as an amplifier,” he added. “Based on what Evy did, you would know exactly how to make the material so that the wave would amplify.”

Possible applications

Though Chong and his team are working on a basic research level, in the long term, understanding the systems they are studying could lead to innovations in “acoustic logic,” Chong explained, which is like the logic underlying electrical circuits, but which don't use electricity but rather pressure waves. They could even help create a situation where “acoustic circuits” could operate with the use of ambient vibrations only, and thus avoid detection from sensors.

“We’re still doing work that is more fundamental,” Chong said. “But understanding how these systems behave could contribute to that the much-longer project of having a goal like that.”

Wallace's undergraduate work with Chong led to a research collaboration with a Columbia faculty member. With him, Wallace expanded Chong's one-dimensional study to two dimensions.

Starting this type of high-level research at Bowdoin, Wallace said, “synthesized everything I had learned at Bowdoin and learned about math in general.” She continued, “Doing research allowed me to take what I learned out of the classroom and apply it to something I could see in the the real world, and see how it would be very important and relevant.”

The journal, which is open access, and Bowdoin College provided support to cover the publication fees via the Fletcher Family Research Grant. Wallace's research was supported by a National Science Foundation grant and the Bowdoin Kaufman Family Fellowship .

Related Stories

• Make a Gift
• Request Info
• Offices & Services A-Z
• Accessibility

Cookies on GOV.UK

We use some essential cookies to make this website work.

We’d like to set additional cookies to understand how you use GOV.UK, remember your settings and improve government services.

We also use cookies set by other sites to help us deliver content from their services.

You have accepted additional cookies. You can change your cookie settings at any time.

You have rejected additional cookies. You can change your cookie settings at any time.

Register to vote Register by 18 June to vote in the General Election on 4 July.

• Business and industry
• Science and innovation
• Artificial intelligence

Frontier AI Safety Commitments, AI Seoul Summit 2024

• Department for Science, Innovation & Technology

Published 21 May 2024

© Crown copyright 2024

This publication is licensed under the terms of the Open Government Licence v3.0 except where otherwise stated. To view this licence, visit nationalarchives.gov.uk/doc/open-government-licence/version/3 or write to the Information Policy Team, The National Archives, Kew, London TW9 4DU, or email: [email protected] .

Where we have identified any third party copyright information you will need to obtain permission from the copyright holders concerned.

This publication is available at https://www.gov.uk/government/publications/frontier-ai-safety-commitments-ai-seoul-summit-2024/frontier-ai-safety-commitments-ai-seoul-summit-2024

The UK and Republic of Korea governments announced that the following organisations have agreed to the Frontier AI Safety Commitments:

• Inflection AI
• Samsung Electronics
• Technology Innovation Institute

The above organisations, in furtherance of safe and trustworthy AI , undertake to develop and deploy their frontier AI models and systems [footnote 1] responsibly, in accordance with the following voluntary commitments, and to demonstrate how they have achieved this by publishing a safety framework focused on severe risks by the upcoming AI Summit in France.

Given the evolving state of the science in this area, the undersigned organisations’ approaches (as detailed in paragraphs I-VIII) to meeting Outcomes 1, 2 and 3 may evolve in the future. In such instances, organisations will provide transparency on this, including their reasons, through public updates. 

The above organisations also affirm their commitment to implement current best practices related to frontier AI safety, including: internal and external red-teaming of frontier AI models and systems for severe and novel threats; to work toward information sharing; to invest in cybersecurity and insider threat safeguards to protect proprietary and unreleased model weights; to incentivize third-party discovery and reporting of issues and vulnerabilities; to develop and deploy mechanisms that enable users to understand if audio or visual content is AI -generated; to publicly report model or system capabilities, limitations, and domains of appropriate and inappropriate use; to prioritize research on societal risks posed by frontier AI models and systems; and to develop and deploy frontier AI models and systems to help address the world’s greatest challenges.

Outcome 1. Organisations effectively identify, assess and manage risks when developing and deploying their frontier AI models and systems. They will:

I. Assess the risks posed by their frontier models or systems across the AI lifecycle, including before deploying that model or system, and, as appropriate, before and during training. Risk assessments should consider model capabilities and the context in which they are developed and deployed, as well as the efficacy of implemented mitigations to reduce the risks associated with their foreseeable use and misuse. They should also consider results from internal and external evaluations as appropriate, such as by independent third-party evaluators, their home governments [footnote 2] , and other bodies their governments deem appropriate.

II. Set out thresholds [footnote 3] at which severe risks posed by a model or system, unless adequately mitigated, would be deemed intolerable. Assess whether these thresholds have been breached, including monitoring how close a model or system is to such a breach. These thresholds should be defined with input from trusted actors, including organisations’ respective home governments as appropriate. They should align with relevant international agreements to which their home governments are party. They should also be accompanied by an explanation of how thresholds were decided upon, and by specific examples of situations where the models or systems would pose intolerable risk.

III. Articulate how risk mitigations will be identified and implemented to keep risks within defined thresholds, including safety and security-related risk mitigations such as modifying system behaviours and implementing robust security controls for unreleased model weights.

IV. Set out explicit processes they intend to follow if their model or system poses risks that meet or exceed the pre-defined thresholds. This includes processes to further develop and deploy their systems and models only if they assess that residual risks would stay below the thresholds. In the extreme, organisations commit not to develop or deploy a model or system at all, if mitigations cannot be applied to keep risks below the thresholds.

V. Continually invest in advancing their ability to implement commitments i-iv, including risk assessment and identification, thresholds definition, and mitigation effectiveness. This should include processes to assess and monitor the adequacy of mitigations, and identify additional mitigations as needed to ensure risks remain below the pre-defined thresholds. They will contribute to and take into account emerging best practice, international standards, and science on AI risk identification, assessment, and mitigation.

Outcome 2. Organisations are accountable for safely developing and deploying their frontier AI models and systems. They will:

VI. Adhere to the commitments outlined in I-V, including by developing and continuously reviewing internal accountability and governance frameworks and assigning roles, responsibilities and sufficient resources to do so.

Outcome 3. Organisations’ approaches to frontier AI safety are appropriately transparent to external actors, including governments. They will:

VII. Provide public transparency on the implementation of the above (I-VI), except insofar as doing so would increase risk or divulge sensitive commercial information to a degree disproportionate to the societal benefit. They should still share more detailed information which cannot be shared publicly with trusted actors, including their respective home governments or appointed body, as appropriate.

VIII. Explain how, if at all, external actors, such as governments, civil society, academics, and the public are involved in the process of assessing the risks of their AI models and systems, the adequacy of their safety framework (as described under I-VI), and their adherence to that framework.

We define ‘frontier AI ’ as highly capable general-purpose AI models or systems that can perform a wide variety of tasks and match or exceed the capabilities present in the most advanced models. References to AI models or systems in these commitments pertain to frontier AI models or systems only.  ↩

We define “home governments” as the government of the country in which the organisation is headquartered.  ↩

Thresholds can be defined using model capabilities, estimates of risk, implemented safeguards, deployment contexts and/or other relevant risk factors. It should be possible to assess whether thresholds have been breached.  ↩

Is this page useful?

• Yes this page is useful
• No this page is not useful

Help us improve GOV.UK

Don’t include personal or financial information like your National Insurance number or credit card details.

To help us improve GOV.UK, we’d like to know more about your visit today. Please fill in this survey (opens in a new tab) .

Health & Environmental Research Online (HERO)

• Learn about HERO
• Search HERO
• Projects in HERO
• Risk Assessment
• Transparency & Integrity

How Science, Math, and Tech Can Propel Swimmers to New Heights

One hundred years ago, in the 1924 Paris Olympics, American Johnny Weissmuller won the men’s 100m freestyle with a time of 59 seconds. Nearly 100 years later in the most recent Olympics, the delayed 2020 Games in Tokyo, Caeleb Dressel took home the same event with a time that was 12 seconds faster than Weissmuller’s.  

Swimming times across the board have become much faster over the past century, a result of several factors, including innovations in training, recovery strategy, nutrition, and some equipment advances.  

One component in the improvement in swimming performances over the years is the role of biomechanics — that is, how swimmers optimize their stroke, whether it's the backstroke, breaststroke, butterfly, or freestyle.  

Swimmers for decades have experimented with different techniques to gain an edge over their competitors. But in more recent years, the application of mathematics and science principles as well as the use of wearable sensor technology in training regimens has allowed some athletes to elevate their performances to new heights, including members of the University of Virginia’s swim team.  

In a new research paper , a UVA professor who introduced these concepts and methods to the team and some of the swimmers who have embraced this novel approach to training lay out how the use of data is helping to transform how competitive swimmers become elite.

‘Swimming in Data’

Ken Ono thought his time working with swim teams was over. Ono — a UVA mathematics professor, professor of data science by courtesy, and STEM advisor to the University provost — had spent years working with competitive swimmers, first during his time at Emory University in Atlanta and then with other college teams, including Olympians, over the years.

However, he didn’t plan to continue that aspect of his work when he arrived at UVA in 2019. But after a meeting with Todd DeSorbo, who took over the UVA swim program in 2017, Ono soon found himself once again working closely with athletes, beginning his work as a consultant for the team during the 2020-21 season . The UVA women’s swim team would win their first of four consecutive national championships that year.  

“One of the things that I like quite a bit about this work is that swimming is crazy hard,” Ono said. “We were never meant to be swimmers, and it is both an athletic challenge as well as a scientific challenge — it has it all.”

Last fall, following a suggestion from DeSorbo, Ono offered a class that outlined the science-focused approach to improving swimming performances that had proven so successful at UVA, but he wanted to make sure there were no misconceptions about the seriousness of the material.

“We don’t want people thinking that it’s a cupcake course that’s offered for the swimmers,” Ono said.

So, Ono teamed up with UVA students Kate Douglass, August Lamb, and Will Tenpas, as well as MIT graduate student Jerry Lu who had worked with Ono and the UVA swim team while an undergraduate at the University, to produce a paper that covered the key elements of the class and Ono’s work with swimmers.  

Tenpas and Lamb both recently completed the residential master’s program at the School of Data Science as well as their careers as competitive collegiate swimmers. Douglass, who finished her UVA swim career in 2023 as one of the most decorated swimmers in NCAA history, is a graduate student in statistics at the University and is set to compete in the Paris Olympics after winning a bronze medal in the 2020 games.

The group drafted the paper, which they titled “Swimming in Data,” over the course of two months, and it was quickly accepted by The Mathematical Intelligencer. There, Ono said, it has become one of the most-read papers on a STEM subject since tracking began. In July, a version of the paper will also be published in Scientific American.  

“It seems to have taken off,” Ono said.

The impact of digital twins

After outlining the evolution of swimming over the past 100 years, the paper explains how an understanding of math and physics, combined with the use of technology to acquire individual-level data, can help maximize performances.  

Essential to understanding the scientific principles involved with the swimming stroke, the paper says, are Newton’s laws of motion. The laws — which cover inertia, the idea that acceleration depends on an object’s mass and the amount of force applied, and the principle that an action exerted by an object on another elicits an equal and opposite reaction — help simplify how one should think about the many biomechanical factors involved with swimming, according to Tenpas.

“There are all sorts of flexibility limitations. You have water moving at you, you have wakes, you have currents — it’s easy to kind of get paralyzed by the number of factors,” said Tenpas, who after four years at Duke, where he studied mechanical engineering, enrolled in UVA’s data science program and joined the swim team with a fifth year of eligibility.

“I think having Newton’s laws is nice as it gives you this baseline we can all agree on,” he added.  

It’s a way to understand pool mechanics given the counterintuitive motion swimmers must use to propel themselves forward, according to Ono.  

“The reason that we go to great extent to recall Newton’s laws of motion is so that we can break down the factors that matter when you test a swimmer,” he said.  

To conduct these tests, Ono and his team use sensors that can be placed on swimmers’ wrists, ankles, or backs to gather acceleration data, measured as inertial measurement units. That information is then used to generate what are called digital twins, which precisely replicate a swimmer’s movements.  

These twins reveal strengths and weaknesses, allowing Ono and the coaching staff to make recommendations on technique and strategy — such as how to reduce drag force, a swimmer’s true opponent — that will result in immediate improvement. In fact, through the analysis of data and the use of Newton’s laws, it is possible to make an accurate prediction about how much time a swimmer can save by making a given adjustment.

Lamb, who swam for UVA for five years while a computer science undergrad then as a data science master’s student, likened digital twins to a feature in the popular Nintendo game Mario Kart where you can race against a ghost version of yourself.  

“Being able to have this resource where you can test at one month and then spend a month or two making that adjustment and then test again and see what the difference is — it’s an incredibly valuable resource,” he said.  

To understand the potential of digital twins, one need only look at the example of Douglass, one of the co-authors, which is cited in the paper.

A flaw was identified in her head position in the 200m breaststroke. Using her digital twin, Ono and the coaching staff were able to quantify how much time she could save per streamline glide by making a modification, given her obvious talent and aerobic capacity. She did, and the results were remarkable. In November 2020, when her technique was tested, the 200m breaststroke wasn’t even on her event list. Three years later, she held the American record.

‘Everyone’s doing it now’

Swimming will be front and center in the national consciousness this summer. First, the U.S. Olympic Team Trials will be held in Indianapolis in June, leading up to the Paris Olympics in July and August, where DeSorbo, UVA’s coach who embraced Ono’s data-driven strategic advice, will lead the women’s team.  

Many aspiring swimmers will undoubtedly be watching over the coming weeks, wondering how they might realize their full athletic potential at whatever level that might be.  

For those who have access to technology and data about their technique, Tenpas encouraged young swimmers to take advantage.  

He noted the significant amount of time a swimmer must put in to reach the highest levels of the sport, estimating that he had been swimming six times per week since he was 12 years old.  

“If you’re going to put all of this work in, at least do it smart,” Tenpas said.  

At the same time, Lamb urged young swimmers who may not yet have access to this technology to not lose faith in their potential to improve.  

“While this is an incredibly useful tool to make improvements to your technique and to your stroke, it’s not the end all, be all,” he said.

“There are so many different ways to make improvements, and we’re hopeful that this will become more accessible as time goes on,” Lamb said of the data methods used at UVA.

As for where this is all going, with the rapidly expanding use and availability of data and wearable technology, Ono thinks his scientific approach to crafting swimming strategies will soon be the norm.  

“I think five years from now, our story won’t be a story. It’ll be, ‘Oh, everyone’s doing it now,’” he said. 

MSDS Student Profiles: August Lamb and Will Tenpas on Balancing Swimming and Graduate School

Ken Ono Talks About Using Data to Improve Swimmer Performance on CBS19 for “Inside The Numbers”

Data Science Master’s Students Tackle Diverse, Real-World Challenges in Capstone Projects

Get the latest news.

Subscribe to receive updates from the School of Data Science.

• Prospective Student
• School of Data Science Alumnus
• UVA Affiliate
• Industry Member

Login | Register

The Legacy of Shoe Reform: The Annie Jenness Miller Boots

Author: Maci Griffith (University of Nevada- Reno)

• Harvard Citation Style
• Vancouver Citation Style
• APA Citation Style
• Download RIS
• Download BibTeX

The Progressive Era of 1880-1920 saw the development of a variety of reform programs and progressive ideas. My paper explores the history of one reformer of this period, Annie Jenness Miller(1895-1939), and the Jenness Miller Boots she created. My research examines Jenness Miller's contribution to shoe reform. Only a few historians have delved into how the construction of women’s shoes changed significantly during this era. My work sheds light on both Annie Jenness Miller as a reformer and the impact of the shoes that she constructed. Jenness Miller believed that fashion should be "hygienic" and comfortable for women. She developed and marketed the Jenness Miller Boots as a reform shoe that allowed women to walk comfortably. Despite the work Jenness Miller did during the Progressive Era, she has since been forgotten.She became a pioneer businesswoman at a time when women were just entering the workforce. Jenness Miller gave thousands of speeches across the United States and Canada. She created her own dress reform magazine and several clothing items for women and babies. Jenness Miller wrote four books about fashion reform. Her work in the fashion industry not only created a line of "hygienic" boots but also showed women that they had a place in the business world. 

Keywords: Jenness Miller, shoe reform, Progressive Era

Griffith, M., (2024) “The Legacy of Shoe Reform: The Annie Jenness Miller Boots”, Footnotes: A Journal of History 6(1), 26-31.

Downloads: Download Article

1 Downloads

Published on 30 may 2024, all rights reserved, harvard-style citation.

Griffith, M. (2024) 'The Legacy of Shoe Reform: The Annie Jenness Miller Boots', Footnotes: A Journal of History . 6(1) :26-31.

Show: Vancouver Citation Style | APA Citation Style

Vancouver-Style Citation

Griffith, M. The Legacy of Shoe Reform: The Annie Jenness Miller Boots. Footnotes: A Journal of History. 2024 5; 6(1) :26-31.

Show: Harvard Citation Style | APA Citation Style

APA-Style Citation

Griffith, M. (2024, 5 29). The Legacy of Shoe Reform: The Annie Jenness Miller Boots. Footnotes: A Journal of History 6(1) :26-31.

Show: Harvard Citation Style | {% trans 'Vancouver Citation Style' %}

Non Specialist Summary

This article has no summary