#pemdas#orderofoperations#parsing
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505K views8 years ago1 recommendation
Computer scienceProgramming languagesMath for programmersLanguage design and type systems
An explanation of why the standard PEMDAS order of operations is ambiguous and how mathematicians actually interpret implicit multiplication.
When it comes to order of operations (PEMDAS, BODMAS, BEDMAS, BIDMAS), who are you going to believe: your primary school teacher, or Richard Feynman? Applying PEMDAS to the viral maths puzzle "6/2(1+2) = ?" gives the answer 9, as explained in videos by MindYourDecisions and others, but is that the whole story... I'm an online maths tutor. Go to thawom.com/tutoring to find out more. You can also follow me on twitter at twitter.com/thawom0 References: Abstract Algebra- The Basic Graduate Year by Robert B. Ash faculty.math.illinois.edu/~r-ash/Algebra/SolutionsChap1-5.pd… p2 The Feynman Lectures on Physics Vol. I Ch. 6: Probability feynmanlectures.caltech.edu/I_06.html Basics of Mechanical Engineering by Paul D. Ronney ronney.usc.edu/ame101/ame101-lecturenotes.pdf p7 (page 15 of the pdf) Oliver Knill - Ambiguous PEMDAS math.harvard.edu/~knill/pedagogy/ambiguity/index.html AMS Guide for Reviewers May 2000 web.archive.org/web/20000815202937/http://www.ams.org/author… APS Physical Review Style and Notation Guide cdn.journals.aps.org/files/styleguide-pr.pdf p21What people say. Recommended to explain the parsing and precedence issues of implicit multiplication in programming language design.
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