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Everything about 0.999...
Alternative decimal expansion of 1
0.999... is a repeating decimal that represents the number 1. The three dots represent an infinite list of "9" digits. Following the standard rules for representing real numbers in decimal notation, its value is the smallest number greater than or equal to every number in the sequence 0.9, 0.99, 0.999, and so on. It can be proved that this number is 1; that is, Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: 0.999...A 5-minute orientation
- Skim a recent paper: The Vienna Art Picture System (VAPS): A data set of 999 paintings and subjective ratings for art and aesthetics research.Influential work since 2022
- Pick up a classic book: How societies are bornThe most-reprinted book on the subject
- Read the landmark paper: ACC/AHA guidelines for coronary angiography11“ACC/AHA Guidelines for Coronary Angiography” was approved by the American College of Cardiology Board of Trustees in October 1998 and by the American Heart Association Science Advisory and Coordinating Committee in December 1998.22When citing this document, the American College of Cardiology and the American Heart Association request that the following format be used: Scanlon PJ, Faxon DP, Audet AM, Carabello B, Dehmer GJ, Eagle KA, Legako RD, Leon DF, Murray JA, Nissen SD, Pepine CJ, Watson RM. ACC/AHA guidelines for coronary angiography: a report of the American College of Cardiology/American Heart Association Task Force on Practice Guidelines (Committee on Coronary Angiography). J Am Coll Cardiol1999;33:1756–82433This document is available on the websites of the ACC (www.acc.org) and the AHA (www.americanheart.org). Reprints of this document (the complete guidelines) are available for $5 each by calling 800-253-4636 (US only) or writing the American College of Cardiology, Educational Services, 9111 Old Georgetown Road, Bethesda, MD 20814-1699. Ask for reprint No. 71-0164. To obtain a reprint of the shorter version (executive summary and summary of recommendations) published in the May 4, 1999, issue of Circulation, ask for reprint No. 71-0163. To purchase additional reprints (specify version and reprint number): up to 999 copies, call 800-611-6083 (US only) or fax 413-665-2671; 1000 or more copies, call 214-706-1466, fax 214-691-6342, or e-mail pubauth@heart.orgCited 770 times
- Go sideways: Real numberA closely related topic
- Go sideways: Decimal representationA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
ACC/AHA guidelines for coronary angiography11“ACC/AHA Guidelines for Coronary Angiography” was approved by the American College of Cardiology Board of Trustees in October 1998 and by the American Heart Association Science Advisory and Coordinating Committee in December 1998.22When citing this document, the American College of Cardiology and the American Heart Association request that the following format be used: Scanlon PJ, Faxon DP, Audet AM, Carabello B, Dehmer GJ, Eagle KA, Legako RD, Leon DF, Murray JA, Nissen SD, Pepine CJ, Watson RM. ACC/AHA guidelines for coronary angiography: a report of the American College of Cardiology/American Heart Association Task Force on Practice Guidelines (Committee on Coronary Angiography). J Am Coll Cardiol1999;33:1756–82433This document is available on the websites of the ACC (www.acc.org) and the AHA (www.americanheart.org). Reprints of this document (the complete guidelines) are available for $5 each by calling 800-253-4636 (US only) or writing the American College of Cardiology, Educational Services, 9111 Old Georgetown Road, Bethesda, MD 20814-1699. Ask for reprint No. 71-0164. To obtain a reprint of the shorter version (executive summary and summary of recommendations) published in the May 4, 1999, issue of Circulation, ask for reprint No. 71-0163. To purchase additional reprints (specify version and reprint number): up to 999 copies, call 800-611-6083 (US only) or fax 413-665-2671; 1000 or more copies, call 214-706-1466, fax 214-691-6342, or e-mail pubauth@heart.org
SimLex-999: Evaluating Semantic Models With (Genuine) Similarity Estimation
ACC/AHA guidelines for percutaneous coronary intervention (revision of the 1993 PTCA guidelines)—executive summary21When citing this document, the American College of Cardiology and the American Heart Association would appreciate the following citation format: Smith SC, Jr, Dove JT, Jacobs AK, Kennedy JW, Kereiakes D, Kern MJ, Kuntz RE, Popma JJ, Schaff HV, Williams DO. ACC/AHA guidelines for percutaneous coronary intervention: executive summary and recommendations: a report of the American College of Cardiology/American Heart Association Task Force on Practice Guidelines (Committee to Revise the 1993 Guidelines for Percutaneous Transluminal Coronary Angioplasty). J Am Coll Cardiol 2001;37:2215–38.22Address for reprints: a single reprint of this document is available by calling 800-253-4636 (US only) or writing the American College of Cardiology, Educational Services, 9111 Old Georgetown Road, Bethesda, MD 20814-1699. This document (reprint no. 71-0205), as well as the companion full-text guideline (reprint no. 71-0206), are available on the ACC Web site at www.acc.organd the AHA Web site at http://www.americanheart.org. To purchase additional reprints (specify version): up to 999 copies, call 800-611-6083 (US only) or fax 413-665-2671; 1000 or more copies, call 214-706-1466, fax 214-691-6342; or E-mail: pubauth@heart.org.
ACC/AHA/ACP-ASIM guidelines for the management of patients with chronic stable angina11This document was approved by the American College of Cardiology Board of Trustees in March 1999, the American Heart Association Science Advisory and Coordinating Committee in March 1999, and the American College of Physicians-American Society of Internal Medicine Board of Regents in February 1999.When citing this document, please use the following citation format: Gibbons RJ, Chatterjee K, Daley J, Douglas JS, Fihn SD, Gardin JM, Grunwald MA, Levy D, Lytle BW, O’Rourke RA, Schafer WP, Williams SV. ACC/AHA/ACP-ASIM guidelines for the management of patients with chronic stable angina: a report of the American College of Cardiology/American Heart Association Task Force on Practice Guidelines (Committee on the Management of Patients With Chronic Stable Angina). J Am Coll Cardiol 1999;33:2092–197.This document is available on the World Wide Web sites of the American College of Cardiology (www.acc.org) and the American Heart Association (www.americanheart.org). Reprints of this document are available by calling 1-800-253-4636 or writing the American College of Cardiology, Educational Services, at 9111 Old Georgetown Road, Bethesda, MD 20814-1699. Ask for reprint number 71-0166. To obtain a reprint of the Executive Summary and Recommendations published in the June 1, 1999 issue of Circulation, ask for reprint number 71-0167. To purchase bulk reprints (specify version and reprint number): Up to 999 copies call 1-800-611-6083 (US only) or fax 413-665-2671; 1000 or more copies call 214-706-1466, fax 214-691-6342, or e-mail pubauth@heart.org
Effectiveness of paramedic practitioners in attending 999 calls from elderly people in the community: cluster randomised controlled trial
American Heart Association/American College of Cardiology Foundation guide to warfarin therapy11The American Heart Association makes every effort to avoid any actual or potential conflicts of interest that may arise as a result of an outside relationship or a personal, professional, or business interest of a member of the writing panel. Specifically, all members of the writing group are required to complete and submit a Disclosure Questionnaire showing all such relationships that might be perceived as real or potential conflicts of interest.This statement has been co-published in the April 1, 2003, issue of Circulation.This statement was approved by the American Heart Association Science Advisory and Coordinating Committee in October 2002 and by the American College of Cardiology Board of Trustees in February 2003. A single reprint is available by calling 800-242-8721 (US only) or writing the American Heart Association, Public Information, 7272 Greenville Ave, Dallas, TX 75231-4596. Ask for reprint No. 71-0254. To purchase additional reprints: up to 999 copies, call 800-611-6083 (US only) or fax 413-665-2671; 1000 or more copies, call 410-528-4426, fax 410-528-4264, or e-mail klbradle@lww.com. To make photocopies for personal or educational use, call the Copyright Clearance Center, 978-750-8400.
Hydrophobicity, expressivity and aromaticity are the major trends of amino-acid usage in 999 Escherichia coli chromosome-encoded genes
Outcome of Extremely Low Birth Weight Infants (500 to 999 Grams) Over a 12-Year Period
🆕 Influential since 2022
The Vienna Art Picture System (VAPS): A data set of 999 paintings and subjective ratings for art and aesthetics research.
Screening of Drosophila microRNA-degradation sequences reveals Argonaute1 mRNA’s role in regulating miR-999
First-in-Human Study of OBI-999, a Globo H-Targeting Antibody-Drug Conjugate, in Patients With Advanced Solid Tumors
The TESS Triple-9 Catalog: 999 uniformly vetted exoplanet candidates
The TESS Triple-9 Catalog II: a new set of 999 uniformly vetted exoplanet candidates
đź“š Books worth reading
How societies are bornJan Vansina · 2004
AlgeriaJohn P. Entelis · 1986
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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