Multiplication (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Multiplication" in English language version.

refsWebsite

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8web.archive.org

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4doi.org

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4wolfram.com

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3arxiv.org

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2youtube.com

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2themathdoctors.org

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2books.google.com

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2semanticscholar.org

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1maa.org

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1harvard.edu

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1thelancet.com

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1datamath.net

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1britannica.com

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1mathematische-basteleien.de

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1cut-the-knot.org

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1nature.com

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1archive.org

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1bbc.com

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1worldcat.org

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1archives-ouvertes.fr

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1quantamagazine.org

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1acm.org

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1archive.today

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1illinoisstate.edu

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1encyclopediaofmath.org

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1unsw.edu.au

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1libretexts.org

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acm.org

cacm.acm.org

Klarreich, Erica (January 2020). "Multiplication Hits the Speed Limit". cacm.acm.org. Archived from the original on 2020-10-31. Retrieved 2020-01-25.

archive.org

Fine, Henry B. (1907). The Number System of Algebra – Treated Theoretically and Historically (PDF) (2nd ed.). p. 90.

archive.today

Klarreich, Erica (January 2020). "Multiplication Hits the Speed Limit". cacm.acm.org. Archived from the original on 2020-10-31. Retrieved 2020-01-25.

archives-ouvertes.fr

hal.archives-ouvertes.fr

David Harvey, Joris Van Der Hoeven (2019). Integer multiplication in time O(n log n) Archived 2019-04-08 at the Wayback Machine

arxiv.org

Pletser, Vladimir (2012-04-04). "Does the Ishango Bone Indicate Knowledge of the Base 12? An Interpretation of a Prehistoric Discovery, the First Mathematical Tool of Humankind". arXiv:1204.1019 [math.HO].
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.
Cawagas, Raoul E.; Carrascal, Alexander S.; Bautista, Lincoln A.; Maria, John P. Sta.; Urrutia, Jackie D.; Nobles, Bernadeth (2009). "The Subalgebra Structure of the Cayley-Dickson Algebra of Dimension 32 (trigintaduonion)". arXiv:0907.2047v3 [math.RA].

bbc.com

Bernhard, Adrienne. "How modern mathematics emerged from a lost Islamic library". bbc.com. Retrieved 2022-04-22.

books.google.com

Fuller, William R. (1977). FORTRAN Programming: A Supplement for Calculus Courses. Universitext. Springer. p. 10. doi:10.1007/978-1-4612-9938-7. ISBN 978-0-387-90283-8.
Litvin, Chester (2012). Advance Brain Stimulation by Psychoconduction. Trafford. pp. 2–3, 5–6. ISBN 978-1-4669-0152-0 – via Google Book Search.

britannica.com

"Multiplicand | mathematics | Britannica". www.britannica.com. Encyclopædia Britannica, Inc. Retrieved 2024-11-15.

cut-the-knot.org

"Peasant Multiplication". cut-the-knot.org. Retrieved 2021-12-29.

datamath.net

Announcing the TI Programmable 88! (PDF). Texas Instruments. 1982. Archived (PDF) from the original on 2017-08-03. Retrieved 2017-08-03. Now, implied multiplication is recognized by the AOS and the square root, logarithmic, and trigonometric functions can be followed by their arguments as when working with pencil and paper. (NB. The TI-88 only existed as a prototype and was never released to the public.)

doi.org

"Victory on Points". Nature. 218 (5137): 111. 1968. Bibcode:1968Natur.218S.111.. doi:10.1038/218111c0.
Fuller, William R. (1977). FORTRAN Programming: A Supplement for Calculus Courses. Universitext. Springer. p. 10. doi:10.1007/978-1-4612-9938-7. ISBN 978-0-387-90283-8.
Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.

encyclopediaofmath.org

"Multiplication". Encyclopedia of Mathematics. Retrieved 2021-12-29.

harvard.edu

ui.adsabs.harvard.edu

"Victory on Points". Nature. 218 (5137): 111. 1968. Bibcode:1968Natur.218S.111.. doi:10.1038/218111c0.

illinoisstate.edu

math.illinoisstate.edu

"Summation and Product Notation". math.illinoisstate.edu. Retrieved 2020-08-16.

libretexts.org

math.libretexts.org

"10.2: Building the Real Numbers". Mathematics LibreTexts. 2018-04-11. Retrieved 2023-06-23.

maa.org

Devlin, Keith (January 2011). "What Exactly is Multiplication?". Mathematical Association of America. Archived from the original on 2017-05-27. Retrieved 2017-05-14. With multiplication you have a multiplicand (written second) multiplied by a multiplier (written first)

mathematische-basteleien.de

"Multiplication". mathematische-basteleien.de. Retrieved 2022-03-15.

nature.com

Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.

quantamagazine.org

Hartnett, Kevin (2019-04-11). "Mathematicians Discover the Perfect Way to Multiply". Quanta Magazine. Retrieved 2020-01-25.

semanticscholar.org

api.semanticscholar.org

Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.

thelancet.com

download.thelancet.com

"The Lancet – Formatting guidelines for electronic submission of manuscripts" (PDF). Retrieved 2017-04-25.

themathdoctors.org

Peterson, Dave (2019-10-14). "Order of Operations: Implicit Multiplication?". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.
Peterson, Dave (2023-08-18). "Implied Multiplication 1: Not as Bad as You Think". Algebra / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-08-25). "Implied Multiplication 2: Is There a Standard?". Algebra, Arithmetic / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-09-01). "Implied Multiplication 3: You Can't Prove It". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.

unsw.edu.au

web.maths.unsw.edu.au

Angell, David. "ORDERING COMPLEX NUMBERS... NOT*" (PDF). UNSW Sydney, School of Mathematics and Statistics. Retrieved 2021-12-29.

web.archive.org

Devlin, Keith (January 2011). "What Exactly is Multiplication?". Mathematical Association of America. Archived from the original on 2017-05-27. Retrieved 2017-05-14. With multiplication you have a multiplicand (written second) multiplied by a multiplier (written first)
Khan Academy (2015-08-14), Intro to multiplication | Multiplication and division | Arithmetic | Khan Academy, archived from the original on 2017-03-24, retrieved 2017-03-07
Khan Academy (2012-09-06), Why aren't we using the multiplication sign? | Introduction to algebra | Algebra I | Khan Academy, archived from the original on 2017-03-27, retrieved 2017-03-07
Announcing the TI Programmable 88! (PDF). Texas Instruments. 1982. Archived (PDF) from the original on 2017-08-03. Retrieved 2017-08-03. Now, implied multiplication is recognized by the AOS and the square root, logarithmic, and trigonometric functions can be followed by their arguments as when working with pencil and paper. (NB. The TI-88 only existed as a prototype and was never released to the public.)
Peterson, Dave (2019-10-14). "Order of Operations: Implicit Multiplication?". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.
Peterson, Dave (2023-08-18). "Implied Multiplication 1: Not as Bad as You Think". Algebra / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-08-25). "Implied Multiplication 2: Is There a Standard?". Algebra, Arithmetic / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-09-01). "Implied Multiplication 3: You Can't Prove It". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.
Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.
David Harvey, Joris Van Der Hoeven (2019). Integer multiplication in time O(n log n) Archived 2019-04-08 at the Wayback Machine

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Multiplicand". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2024-11-15.
Weisstein, Eric W. "Product". mathworld.wolfram.com. Retrieved 2020-08-16.
Weisstein, Eric W. "Exponentiation". mathworld.wolfram.com. Retrieved 2021-12-29.
Weisstein, Eric W. "Multiplicative Inverse". Wolfram MathWorld. Retrieved 2022-04-19.

worldcat.org

search.worldcat.org

Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.

youtube.com

Khan Academy (2015-08-14), Intro to multiplication | Multiplication and division | Arithmetic | Khan Academy, archived from the original on 2017-03-24, retrieved 2017-03-07
Khan Academy (2012-09-06), Why aren't we using the multiplication sign? | Introduction to algebra | Algebra I | Khan Academy, archived from the original on 2017-03-27, retrieved 2017-03-07