0 (angka) (Indonesian Wikipedia)
Analysis of information sources in references of the Wikipedia article "0 (angka)" in Indonesian language version.
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ams.org
- Casselman, Bill. "All for Nought". ams.org. University of British Columbia), American Mathematical Society. Diarsipkan dari versi asli tanggal 6 December 2015. Diakses tanggal 20 December 2015.
archive.org
- Lumpkin, Beatrice (2002). "Mathematics Used in Egyptian Construction and Bookkeeping". The Mathematical Intelligencer. 24 (2): 20–25. doi:10.1007/BF03024613.
- Neugebauer, Otto (1969). The Exact Sciences in Antiquity
(edisi ke-2). Dover Publications. hlm. 13–14, plate 2. ISBN 978-0-486-22332-2. - Hodgkin, Luke (2005). A History of Mathematics: From Mesopotamia to Modernity. Oxford University Press. hlm. 85. ISBN 978-0-19-152383-0.
- Hodgkin, Luke (2005). A History of Mathematics: From Mesopotamia to Modernity. Oxford University Press. hlm. 85. ISBN 978-0-19-152383-0.
- Kaplan 2000, hlm. 68–75.
- Algebra, with Arithmetic and Mensuration from the Sanscrit of Brahmegupta and Bháscara. Diterjemahkan oleh Henry Thomas Colebrooke. London: John Murray. 1817. OCLC 1039515732.
- Durant, Will (1950). The Story of Civilization, Volume 4, The Age of Faith: Constantine to Dante – A.D. 325–1300. Simon & Schuster. ISBN 978-0-9650007-5-8.
The Arabic inheritance of science was overwhelmingly Greek, but Hindu influences ranked next. In 773, at Mansur's behest, translations were made of the Siddhantas – Indian astronomical treatises dating as far back as 425 BC; these versions may have the vehicle through which the "Arabic" numerals and the zero were brought from India into Islam. In 813, al-Khwarizmi used the Hindu numerals in his astronomical tables.
- Smith, D. E.; Karpinski, L. C. (1911). "The spread of the [Hindu–Arabic] numerals in Europe". The Hindu–Arabic Numerals. Ginn and Company. hlm. 134–136 – via Internet Archive.
- Lemma B.2.2, The integer 0 is even and is not odd, in Penner, Robert C. (1999). Discrete Mathematics: Proof Techniques and Mathematical Structures. World Scientific. hlm. 34. ISBN 978-981-02-4088-2.
- Reid, Constance (1992). From zero to infinity: what makes numbers interesting (edisi ke-4th). Mathematical Association of America. hlm. 23. ISBN 978-0-88385-505-8.
zero neither prime nor composite
- Marc J. Rochkind (1985). Advanced UNIX Programming. Prentice-Hall Software Series. Englewood Cliffs, NJ: Prentice Hall. ISBN 0-13-011818-4. Here: Sect.5.5 "Exit system call", p.114.
books.google.com
- Seife, Charles (1 September 2000). Zero: The Biography of a Dangerous Idea. Penguin. hlm. 39. ISBN 978-0-14-029647-1. OCLC 1005913932. Diakses tanggal 30 April 2022.
- Nieder, Andreas (19 November 2019). A Brain for Numbers: The Biology of the Number Instinct. MIT Press. hlm. 286. ISBN 978-0-262-35432-5. Diakses tanggal 30 April 2022.
- Shen Kanshen Crossley, John N.; Lun, Anthony W.-C. (1999). The Nine Chapters on the Mathematical Art: Companion and Commentary. Oxford University Press. hlm. 35. ISBN 978-0-19-853936-0.
zero was regarded as a number in India ... whereas the Chinese employed a vacant position
- Plofker, Kim (2009). Mathematics in India. Princeton University Press. hlm. 54–56. ISBN 978-0-691-12067-6.
In the Chandah-sutra of Pingala, dating perhaps the third or second century BC, [ ...] Pingala's use of a zero symbol [śūnya] as a marker seems to be the first known explicit reference to zero. ... In the Chandah-sutra of Pingala, dating perhaps the third or second century BC, there are five questions concerning the possible meters for any value "n". [ ...] The answer is (2)7 = 128, as expected, but instead of seven doublings, the process (explained by the sutra) required only three doublings and two squarings – a handy time saver where "n" is large. Pingala's use of a zero symbol as a marker seems to be the first known explicit reference to zero
- Vaman Shivaram Apte (1970). "Sanskrit Prosody and Important Literary and Geographical Names in the Ancient History of India". The Student's Sanskrit-English Dictionary. Motilal Banarsidass. hlm. 648–649. ISBN 978-81-208-0045-8. Diakses tanggal 21 April 2017.
- Brezina, Corona (2006). Al-Khwarizmi: The Inventor of Algebra. The Rosen Publishing Group. ISBN 978-1-4042-0513-0. Diakses tanggal 26 September 2016.
- Bunt, Lucas Nicolaas Hendrik; Jones, Phillip S.; Bedient, Jack D. (1976). The historical roots of elementary mathematics. Courier Dover Publications. hlm. 254–255. ISBN 978-0-486-13968-5. Diarsipkan dari versi asli tanggal 23 June 2016. Diakses tanggal 5 January 2016. , Extract of pp. 254–255 Diarsipkan 10 May 2016 di Wayback Machine.
- Weil, André (2012-12-06). Number Theory for Beginners (dalam bahasa Inggris). Springer Science & Business Media. ISBN 978-1-4612-9957-8. Diarsipkan dari versi asli tanggal 14 June 2021. Diakses tanggal 6 April 2021.
- Overland, Brian (2004-09-14). C++ Without Fear: A Beginner's Guide That Makes You Feel Smart (dalam bahasa Inggris). Pearson Education. hlm. 132. ISBN 978-0-7686-8488-9.
- Oliveira, Suely; Stewart, David E. (2006-09-07). Writing Scientific Software: A Guide to Good Style (dalam bahasa Inggris). Cambridge University Press. hlm. 64. ISBN 978-1-139-45862-7.
- Wu, X.; Ichikawa, T.; Cercone, N. (25 October 1996). Knowledge-Base Assisted Database Retrieval Systems (dalam bahasa Inggris). World Scientific. ISBN 978-981-4501-75-0. Diarsipkan dari versi asli tanggal 31 March 2022. Diakses tanggal 7 November 2020.
- Paul DuBois. "MySQL Cookbook: Solutions for Database Developers and Administrators" Diarsipkan 24 February 2017 di Wayback Machine. 2014. p. 204.
- Arnold Robbins; Nelson Beebe. "Classic Shell Scripting" Diarsipkan 24 February 2017 di Wayback Machine.. 2005. p. 274
- Iztok Fajfar. "Start Programming Using HTML, CSS, and JavaScript" Diarsipkan 24 February 2017 di Wayback Machine.. 2015. p. 160.
- Darren R. Hayes. "A Practical Guide to Computer Forensics Investigations" Diarsipkan 24 February 2017 di Wayback Machine.. 2014. p. 399
- Reese, Richard M. (2013). Understanding and Using C Pointers: Core Techniques for Memory Management. O'Reilly Media. ISBN 978-1-449-34455-9.
cambridge.org
- Cyphers, Ann (2014), Renfrew, Colin; Bahn, Paul, ed., "The Olmec, 1800–400 bce", The Cambridge World Prehistory, Cambridge: Cambridge University Press, hlm. 1005–1025, ISBN 978-0-521-11993-1, diakses tanggal 2024-08-13
doi.org
- Lumpkin, Beatrice (2002). "Mathematics Used in Egyptian Construction and Bookkeeping". The Mathematical Intelligencer. 24 (2): 20–25. doi:10.1007/BF03024613.
- Eberhard-Bréard, Andrea (2008), "Mathematics in China", dalam Selin, Helaine, Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (dalam bahasa Inggris), Dordrecht: Springer Netherlands, hlm. 1371–1378, doi:10.1007/978-1-4020-4425-0_9453, ISBN 978-1-4020-4425-0, diakses tanggal 2024-04-28
- Plofker, Kim; Keller, Agathe; Hayashi, Takao; Montelle, Clemency; Wujastyk, Dominik (2017-10-06). "The Bakhshālī Manuscript: A Response to the Bodleian Library's Radiocarbon Dating". History of Science in South Asia (dalam bahasa Inggris). 5 (1): 134–150. doi:10.18732/H2XT07
. - Cœdès, George (1931). "A propos de l'origine des chiffres arabes". Bulletin of the School of Oriental Studies, University of London (dalam bahasa Prancis). Cambridge University Press. 6 (2): 323–328. doi:10.1017/S0041977X00092806. JSTOR 607661.
- Sigler, Laurence (2003). Fibonacci's Liber Abaci: A Translation into Modern English of Leonardo Pisano's Book of Calculation. Sources and Studies in the History of Mathematics and Physical Sciences. Diterjemahkan oleh Sigler, Laurence E. Springer. doi:10.1007/978-1-4613-0079-3. ISBN 978-1-4613-0079-3.
- Pedersen, Olaf (1985). "In Quest of Sacrobosco". Journal for the History of Astronomy. 16 (3): 175–221. Bibcode:1985JHA....16..175P. doi:10.1177/002182868501600302.
- Bemer, R. W. (1967). "Towards standards for handwritten zero and oh: much ado about nothing (and a letter), or a partial dossier on distinguishing between handwritten zero and oh". Communications of the ACM. 10 (8): 513–518. doi:10.1145/363534.363563.
elpais.com
english.elpais.com
- Leon, Manuel de (2022-12-20). "Knots representing numbers: The mathematics of the Incas". EL PAÍS English (dalam bahasa Inggris). Diakses tanggal 2024-06-05.
harvard.edu
adsabs.harvard.edu
- Pedersen, Olaf (1985). "In Quest of Sacrobosco". Journal for the History of Astronomy. 16 (3): 175–221. Bibcode:1985JHA....16..175P. doi:10.1177/002182868501600302.
ibm.com
- "Null values and the nullable type". IBM. 12 December 2018. Diarsipkan dari versi asli tanggal 23 November 2021. Diakses tanggal 23 November 2021.
In regard to services, sending a null value as an argument in a remote service call means that no data is sent. Because the receiving parameter is nullable, the receiving function creates a new, uninitialized value for the missing data then passes it to the requested service function.
jstor.org
- Cœdès, George (1931). "A propos de l'origine des chiffres arabes". Bulletin of the School of Oriental Studies, University of London (dalam bahasa Prancis). Cambridge University Press. 6 (2): 323–328. doi:10.1017/S0041977X00092806. JSTOR 607661.
mexicolore.co.uk
- "Cyclical views of time". www.mexicolore.co.uk. Diakses tanggal 2024-01-20.
msu.ru
hbar.phys.msu.ru
- Deckers, Michael (2003). "Cyclus Decemnovennalis Dionysii" [Nineteen Year Cycle of Dionysius]. Diarsipkan dari versi asli tanggal 15 January 2019.
openstax.org
- Herman, Edwin; Strang, Gilbert; et al. (2017). Calculus. 1. Houston, Texas: OpenStax. hlm. 454–459. ISBN 978-1-938168-02-4. OCLC 1022848630. Diarsipkan dari versi asli tanggal 23 September 2022. Diakses tanggal 26 July 2022.
oracle.com
docs.oracle.com
- "ResultSet (Java Platform SE 8 )". docs.oracle.com. Diarsipkan dari versi asli tanggal 9 May 2022. Diakses tanggal 2022-05-09.
ox.ac.uk
bodleian.ox.ac.uk
- "Carbon dating finds Bakhshali manuscript contains oldest recorded origins of the symbol 'zero'". Bodleian Library. 14 September 2017. Diarsipkan dari versi asli tanggal 14 September 2017. Diakses tanggal 25 October 2017.
penn.museum
- "Expedition Magazine | Time, Kingship, and the Maya Universe Maya Calendars". Expedition Magazine (dalam bahasa Inggris). Diakses tanggal 2024-08-13.
phpnet.us
grmath4.phpnet.us
- "Mathematics in the Near and Far East" (PDF). grmath4.phpnet.us. hlm. 262. Diarsipkan dari versi asli (PDF) tanggal 4 November 2013. Diakses tanggal 7 June 2012.
raymondm.co.uk
- Mercier, Raymond. "Consideration of the Greek symbol 'zero'" (PDF). Home of Kairos. Diarsipkan dari versi asli (PDF) tanggal 5 November 2020. Diakses tanggal 28 March 2020. Templat:Sps
sju.edu
people.sju.edu
- Hall, Rachel (February 15, 2005). "Math for Poets and Drummers: The Mathematics of Rhythm" (PDF) (slideshow). Saint Joseph's University. Diarsipkan dari versi asli (PDF) tanggal 22 January 2019. Diakses tanggal 20 December 2015.
st-andrews.ac.uk
mathshistory.st-andrews.ac.uk
- J J O'Connor; E F Robertson (2000). "Egyptian numerals". mathshistory.st-andrews.ac.uk. University of St Andrews. Diarsipkan dari versi asli tanggal 15 November 2019. Diakses tanggal 21 December 2019.
- O'Connor, J J; Robertson, E F. "A history of Zero". MacTutor History of Mathematics. Diarsipkan dari versi asli tanggal 7 April 2020. Diakses tanggal 28 March 2020.
- "Chinese numerals". Maths History (dalam bahasa Inggris). Diakses tanggal 2024-04-28.
www-history.mcs.st-andrews.ac.uk
stanford.edu
plato.stanford.edu
- Huggett, Nick (2019). "Zeno's Paradoxes". Dalam Zalta, Edward N. The Stanford Encyclopedia of Philosophy (edisi ke-Winter 2019). Metaphysics Research Lab, Stanford University. Diarsipkan dari versi asli tanggal 10 January 2021. Diakses tanggal 2020-08-09.
theconversation.com
- Weiss, Ittay (20 September 2017). "Nothing matters: How India's invention of zero helped create modern mathematics". The Conversation. Diarsipkan dari versi asli tanggal 12 July 2018. Diakses tanggal 12 July 2018.
theguardian.com
- Mortaigne, Véronique (28 November 2014). "The golden age of Mayan civilisation – exhibition review". The Guardian. Diarsipkan dari versi asli tanggal 28 November 2014. Diakses tanggal 10 October 2015.
- Devlin, Hannah (13 September 2017). "Much ado about nothing: ancient Indian text contains earliest zero symbol". The Guardian. ISSN 0261-3077. Diarsipkan dari versi asli tanggal 20 November 2017. Diakses tanggal 14 September 2017.
- Devlin, Hannah (13 September 2017). "Much ado about nothing: ancient Indian text contains earliest zero symbol". The Guardian. ISSN 0261-3077. Diarsipkan dari versi asli tanggal 20 November 2017. Diakses tanggal 14 September 2017.
ualberta.ca
journals.library.ualberta.ca
- Plofker, Kim; Keller, Agathe; Hayashi, Takao; Montelle, Clemency; Wujastyk, Dominik (2017-10-06). "The Bakhshālī Manuscript: A Response to the Bodleian Library's Radiocarbon Dating". History of Science in South Asia (dalam bahasa Inggris). 5 (1): 134–150. doi:10.18732/H2XT07 .
unicode.org
- "Proposal to encode the Greek Zero in the UCS" (PDF). 2024-07-31. Diarsipkan dari versi asli (PDF) tanggal 2022-10-07.
web.archive.org
- J J O'Connor; E F Robertson (2000). "Egyptian numerals". mathshistory.st-andrews.ac.uk. University of St Andrews. Diarsipkan dari versi asli tanggal 15 November 2019. Diakses tanggal 21 December 2019.
- Mortaigne, Véronique (28 November 2014). "The golden age of Mayan civilisation – exhibition review". The Guardian. Diarsipkan dari versi asli tanggal 28 November 2014. Diakses tanggal 10 October 2015.
- Wallin, Nils-Bertil (19 November 2002). "The History of Zero". YaleGlobal online. The Whitney and Betty Macmillan Center for International and Area Studies at Yale. Diarsipkan dari versi asli tanggal 25 August 2016. Diakses tanggal 1 September 2016.
- Huggett, Nick (2019). "Zeno's Paradoxes". Dalam Zalta, Edward N. The Stanford Encyclopedia of Philosophy (edisi ke-Winter 2019). Metaphysics Research Lab, Stanford University. Diarsipkan dari versi asli tanggal 10 January 2021. Diakses tanggal 2020-08-09.
- Mercier, Raymond. "Consideration of the Greek symbol 'zero'" (PDF). Home of Kairos. Diarsipkan dari versi asli (PDF) tanggal 5 November 2020. Diakses tanggal 28 March 2020. Templat:Sps
- O'Connor, J J; Robertson, E F. "A history of Zero". MacTutor History of Mathematics. Diarsipkan dari versi asli tanggal 7 April 2020. Diakses tanggal 28 March 2020.
- "Proposal to encode the Greek Zero in the UCS" (PDF). 2024-07-31. Diarsipkan dari versi asli (PDF) tanggal 2022-10-07.
- Deckers, Michael (2003). "Cyclus Decemnovennalis Dionysii" [Nineteen Year Cycle of Dionysius]. Diarsipkan dari versi asli tanggal 15 January 2019.
- "Mathematics in the Near and Far East" (PDF). grmath4.phpnet.us. hlm. 262. Diarsipkan dari versi asli (PDF) tanggal 4 November 2013. Diakses tanggal 7 June 2012.
- Hall, Rachel (February 15, 2005). "Math for Poets and Drummers: The Mathematics of Rhythm" (PDF) (slideshow). Saint Joseph's University. Diarsipkan dari versi asli (PDF) tanggal 22 January 2019. Diakses tanggal 20 December 2015.
- Weiss, Ittay (20 September 2017). "Nothing matters: How India's invention of zero helped create modern mathematics". The Conversation. Diarsipkan dari versi asli tanggal 12 July 2018. Diakses tanggal 12 July 2018.
- Devlin, Hannah (13 September 2017). "Much ado about nothing: ancient Indian text contains earliest zero symbol". The Guardian. ISSN 0261-3077. Diarsipkan dari versi asli tanggal 20 November 2017. Diakses tanggal 14 September 2017.
- "Carbon dating finds Bakhshali manuscript contains oldest recorded origins of the symbol 'zero'". Bodleian Library. 14 September 2017. Diarsipkan dari versi asli tanggal 14 September 2017. Diakses tanggal 25 October 2017.
- Devlin, Hannah (13 September 2017). "Much ado about nothing: ancient Indian text contains earliest zero symbol". The Guardian. ISSN 0261-3077. Diarsipkan dari versi asli tanggal 20 November 2017. Diakses tanggal 14 September 2017.
- Diller, Anthony (1996). "New Zeros and Old Khmer" (PDF). Mon-Khmer Studies. 25: 125–132. Diarsipkan dari [sealang.net/sala/archives/pdf8/diller1996new.pdf versi asli] Periksa nilai
|url=(bantuan) (PDF) tanggal 2024-09-14. - Casselman, Bill. "All for Nought". ams.org. University of British Columbia), American Mathematical Society. Diarsipkan dari versi asli tanggal 6 December 2015. Diakses tanggal 20 December 2015.
- Bunt, Lucas Nicolaas Hendrik; Jones, Phillip S.; Bedient, Jack D. (1976). The historical roots of elementary mathematics. Courier Dover Publications. hlm. 254–255. ISBN 978-0-486-13968-5. Diarsipkan dari versi asli tanggal 23 June 2016. Diakses tanggal 5 January 2016. , Extract of pp. 254–255 Diarsipkan 10 May 2016 di Wayback Machine.
- Weisstein, Eric W. "Zero". Wolfram (dalam bahasa Inggris). Diarsipkan dari versi asli tanggal 1 June 2013. Diakses tanggal 4 April 2018.
- Weil, André (2012-12-06). Number Theory for Beginners (dalam bahasa Inggris). Springer Science & Business Media. ISBN 978-1-4612-9957-8. Diarsipkan dari versi asli tanggal 14 June 2021. Diakses tanggal 6 April 2021.
- Herman, Edwin; Strang, Gilbert; et al. (2017). Calculus. 1. Houston, Texas: OpenStax. hlm. 454–459. ISBN 978-1-938168-02-4. OCLC 1022848630. Diarsipkan dari versi asli tanggal 23 September 2022. Diakses tanggal 26 July 2022.
- "ResultSet (Java Platform SE 8 )". docs.oracle.com. Diarsipkan dari versi asli tanggal 9 May 2022. Diakses tanggal 2022-05-09.
- Wu, X.; Ichikawa, T.; Cercone, N. (25 October 1996). Knowledge-Base Assisted Database Retrieval Systems (dalam bahasa Inggris). World Scientific. ISBN 978-981-4501-75-0. Diarsipkan dari versi asli tanggal 31 March 2022. Diakses tanggal 7 November 2020.
- "Null values and the nullable type". IBM. 12 December 2018. Diarsipkan dari versi asli tanggal 23 November 2021. Diakses tanggal 23 November 2021.
In regard to services, sending a null value as an argument in a remote service call means that no data is sent. Because the receiving parameter is nullable, the receiving function creates a new, uninitialized value for the missing data then passes it to the requested service function.
- Paul DuBois. "MySQL Cookbook: Solutions for Database Developers and Administrators" Diarsipkan 24 February 2017 di Wayback Machine. 2014. p. 204.
- Arnold Robbins; Nelson Beebe. "Classic Shell Scripting" Diarsipkan 24 February 2017 di Wayback Machine.. 2005. p. 274
- Iztok Fajfar. "Start Programming Using HTML, CSS, and JavaScript" Diarsipkan 24 February 2017 di Wayback Machine.. 2015. p. 160.
- Darren R. Hayes. "A Practical Guide to Computer Forensics Investigations" Diarsipkan 24 February 2017 di Wayback Machine.. 2014. p. 399
wolfram.com
mathworld.wolfram.com
- Weisstein, Eric W. "Zero". Wolfram (dalam bahasa Inggris). Diarsipkan dari versi asli tanggal 1 June 2013. Diakses tanggal 4 April 2018.
worldcat.org
- Seife, Charles (1 September 2000). Zero: The Biography of a Dangerous Idea. Penguin. hlm. 39. ISBN 978-0-14-029647-1. OCLC 1005913932. Diakses tanggal 30 April 2022.
- Devlin, Hannah (13 September 2017). "Much ado about nothing: ancient Indian text contains earliest zero symbol". The Guardian. ISSN 0261-3077. Diarsipkan dari versi asli tanggal 20 November 2017. Diakses tanggal 14 September 2017.
- Algebra, with Arithmetic and Mensuration from the Sanscrit of Brahmegupta and Bháscara. Diterjemahkan oleh Henry Thomas Colebrooke. London: John Murray. 1817. OCLC 1039515732.
- Devlin, Hannah (13 September 2017). "Much ado about nothing: ancient Indian text contains earliest zero symbol". The Guardian. ISSN 0261-3077. Diarsipkan dari versi asli tanggal 20 November 2017. Diakses tanggal 14 September 2017.
- Pannekoek, Anton (1961). A History of Astronomy. George Allen & Unwin. hlm. 165. ISBN 9780045200023. OCLC 840043.
- Herman, Edwin; Strang, Gilbert; et al. (2017). Calculus. 1. Houston, Texas: OpenStax. hlm. 454–459. ISBN 978-1-938168-02-4. OCLC 1022848630. Diarsipkan dari versi asli tanggal 23 September 2022. Diakses tanggal 26 July 2022.
yale.edu
yaleglobal.yale.edu
- Wallin, Nils-Bertil (19 November 2002). "The History of Zero". YaleGlobal online. The Whitney and Betty Macmillan Center for International and Area Studies at Yale. Diarsipkan dari versi asli tanggal 25 August 2016. Diakses tanggal 1 September 2016.
