{"id":1370,"date":"2022-12-12T12:36:41","date_gmt":"2022-12-12T17:36:41","guid":{"rendered":"https:\/\/mathvoices.ams.org\/mathmedia\/?p=1370"},"modified":"2022-12-12T12:36:41","modified_gmt":"2022-12-12T17:36:41","slug":"math-digests-november-2022","status":"publish","type":"post","link":"https:\/\/mathvoices.ams.org\/mathmedia\/math-digests-november-2022\/","title":{"rendered":"Math Digests November 2022"},"content":{"rendered":"<ul>\n<li><a href=\"#1\">Everything you need to know about the math of Powerball<\/a><\/li>\n<li><a href=\"#2\">What Students Are Saying About the Value of Math<\/a><\/li>\n<li><a href=\"#3\">Strategic voting is possible but risky on a ranked choice ballot, mathematicians say<\/a><\/li>\n<li><a href=\"#4\">Meet Ada Lovelace, The First Computer Programmer<\/a><\/li>\n<li><a href=\"#5\">Fireflies Sync Up Their Dazzling Light Shows With Mathematical Precision, Scientists Find<\/a><\/li>\n<\/ul>\n<hr \/>\n<h3><a id=\"1\" href=\"https:\/\/bigthink.com\/starts-with-a-bang\/math-of-powerball\/\"><span style=\"font-weight: 400\">Everything you need to know about the math of Powerball<\/span><\/a><\/h3>\n<p><i><span style=\"font-weight: 400\">Big Think<\/span><\/i><span style=\"font-weight: 400\">, November 7 2022<\/span><\/p>\n<p><span style=\"font-weight: 400\">This month, one lucky person won a record-setting \\$2.04 billion in the Powerball lottery, beating unthinkable odds of 292 million to 1. Surely that \\$2 billion winner feels their \\$2 lottery ticket was a good idea. But would a mathematician have advised they buy the ticket, not knowing they\u2019d win big? There\u2019s more to the math of Powerball than just the odds of matching five white balls numbered 1 through 69 and one red ball from 1 to 26. \u201cThat probability doesn&#8217;t factor in the cost of a ticket versus how much you can expect to actually take home: the mathematical definition of \u2018expectation value\u2019,\u201d writes Ethan Siegel, in an article for <\/span><i><span style=\"font-weight: 400\">Big Think. <\/span><\/i><span style=\"font-weight: 400\">In this article, Siegel breaks down the math behind the question of <\/span><i><span style=\"font-weight: 400\">when <\/span><\/i><span style=\"font-weight: 400\">exactly playing Powerball is \u201cworth it\u201d mathematically.\u00a0<\/span><\/p>\n<p><b>Classroom Activities:<\/b> <i><span style=\"font-weight: 400\">probability, expected value<\/span><\/i><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(Mid Level) Based on this article, if a lottery ticket costs \\$5 and you have a greater than 50% chance of winning \\$9, is playing worth it?\u00a0<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">What if you have a greater than 1% chance of winning \\$500?<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(High Level) Suppose the lottery drawing consists of two white balls numbered from 1-50, and one red ball numbered 1-20.<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">What is the new probability of matching all three balls for the jackpot?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">What is the new probability of matching one white ball and the red ball?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">How big must the jackpot prize be for the overall expected value to surpass the \\$2 ticket cost?<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><i><span style=\"font-weight: 400\">\u2014Max Levy<\/span><\/i><\/p>\n<hr \/>\n<h3><a id=\"2\" href=\"https:\/\/www.nytimes.com\/2022\/11\/10\/learning\/what-students-are-saying-about-the-value-of-math.html\"><span style=\"font-weight: 400\">What Students Are Saying About the Value of Math<\/span><\/a><\/h3>\n<p><i><span style=\"font-weight: 400\">New York Times<\/span><\/i><span style=\"font-weight: 400\">, November 10, 2022<\/span><\/p>\n<p><span style=\"font-weight: 400\">What\u2019s the point of learning math? Your teachers, parents, and peers may have instilled in you the value of learning math\u2014to adjust baking recipes, to design or create art, to solve problems in science and engineering. But do you feel that your higher-level math education in algebra, geometry, statistics, or calculus is worth the effort? A recent article for the <\/span><i><span style=\"font-weight: 400\">New York Times<\/span><\/i><span style=\"font-weight: 400\"> shares how students around the country responded to this question. Some answers are positive: \u201cMath is timing, it\u2019s logic, it\u2019s precision, it\u2019s structure, and it\u2019s the way most of the physical world works.\u201d Others are more negative: \u201cMath could shape the world if it were taught differently.\u201d Reading the spectrum of responses can help us find ways to appreciate math education, as well as ideas for how to improve it.<\/span><\/p>\n<p><b>Classroom Activities: <\/b><span style=\"font-weight: 400\">\u00a0<em>algebra, geometry, calculus, education, math anxiety<\/em><\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(All levels) Discuss the <\/span><a href=\"https:\/\/www.nytimes.com\/2022\/10\/20\/learning\/do-you-see-the-point-in-learning-math.html\"><span style=\"font-weight: 400\">writing prompts<\/span><\/a><span style=\"font-weight: 400\"> from this survey in groups of three or four. Based on your discussion, write a paragraph individually answering the question: Is it important to learn math in school? Why or why not?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(All levels) Several students responded to the prompt with negative responses about math. One wrote, \u201cI think math is a waste of my time because I don\u2019t think I will ever get it.\u201d Respond to the following prompts:<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Can you remember a time that you struggled with a subject or activity you enjoy? What helped you overcome that obstacle?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">What would you change about how math is taught at your school?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Math is essential for understanding concepts in science and engineering. Is it useful for people who don\u2019t want to work in these fields? Why or why not?<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><i><span style=\"font-weight: 400\">\u2014Max Levy<\/span><\/i><\/p>\n<hr \/>\n<h3><a id=\"3\" href=\"https:\/\/alaskabeacon.com\/2022\/11\/05\/strategic-voting-is-possible-but-risky-on-a-ranked-choice-ballot-mathematicians-say\/\"><span style=\"font-weight: 400\">Strategic voting is possible but risky on a ranked choice ballot, mathematicians say<\/span><\/a><\/h3>\n<p><i><span style=\"font-weight: 400\">Alaska Beacon<\/span><\/i><span style=\"font-weight: 400\">, November 5, 2022<\/span><\/p>\n<p><span style=\"font-weight: 400\">After the death of their Representative in the US House, Alaska held a special election in August. The results were surprisingly interesting. Mathematicians Adam Graham-Squire and David McCune showed that if certain voters had switched from a losing candidate (Sarah Palin) to the winner (Mary Peltola), that influx of votes would have made Peltola lose, as James Brooks writes for <\/span><i><span style=\"font-weight: 400\">Alaska Beacon<\/span><\/i><span style=\"font-weight: 400\">. In other words, more votes need not be better. This counterintuitive outcome, called the monotonicity paradox, was possible because the election used <\/span><a href=\"https:\/\/ballotpedia.org\/Ranked-choice_voting_(RCV)\"><span style=\"font-weight: 400\">ranked-choice voting<\/span><\/a><span style=\"font-weight: 400\">. In ranked-choice voting, voters rank candidates in order of preference. The candidate with the fewest first-place votes is eliminated, their votes are reassigned to those voters\u2019 second-favorite choices, and the process repeats until someone has a majority of votes. If some of Palin\u2019s votes were transferred to Peltola, then Palin would have been eliminated in the first round. Peltola would have then lost in a head-to-head comparison with the third candidate, Nick Begich III.<\/span><\/p>\n<p><b>Classroom Activities:<\/b><i><span style=\"font-weight: 400\"> voting, elections<\/span><\/i><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(All levels) Suppose that Candidate A, Candidate B, and Candidate C are running in an election, and that 40 voters prefer A, then B, then C; 35 voters prefer C, then B, then A; and 25 voters prefer B, then C, then A.<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Who would win if the election were awarded to the candidate with the most first-place votes?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Who would win in the ranked-choice voting system described above?\u00a0\u00a0<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">If Candidate C dropped out of the race, who would win in a race between just A and B? Who would win in a race between just A and C, or a race between just B and C? (A candidate that would win in a direct comparison with any other candidate is called a <\/span><i><span style=\"font-weight: 400\">Condorcet winner<\/span><\/i><span style=\"font-weight: 400\">. In the Alaska election, Begich was a Condorcet winner but lost the election.)<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">For more information about different voting systems and how they can lead to different outcomes, watch <\/span><a href=\"https:\/\/www.youtube.com\/watch?v=HoAnYQZrNrQ\"><span style=\"font-weight: 400\">this video<\/span><\/a><span style=\"font-weight: 400\"> from PBS Infinite Series.<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(All levels) The United States Electoral College is another example of a nonstandard voting system. Read the article <\/span><a href=\"https:\/\/mathwithbaddrawings.com\/2019\/03\/22\/the-electoral-college-from-scratch\/\"><span style=\"font-weight: 400\">The Electoral College, According to a Math Teacher<\/span><\/a><span style=\"font-weight: 400\"> by Ben Orlin. Try exercises 1-10 under the heading \u201cElectors Per Capita: What Does It Tell Us?\u201d<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Pair up with another student and compare your answers, especially for problems 5, 8, 9, and 10.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Now, discuss the article as a class. Share your thoughts on the following questions:<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">What did you learn about the Electoral College that you didn\u2019t know before?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Did the article and exercises change your opinion on the Electoral College? If so, how?<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Is the Electoral College fair? Why or why not?<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><i><span style=\"font-weight: 400\">\u2014Tamar Lichter Blanks<\/span><\/i><\/p>\n<hr \/>\n<h3><a id=\"4\" href=\"https:\/\/discovermagazine.com\/the-sciences\/meet-ada-lovelace-the-first-computer-programmer\"><span style=\"font-weight: 400\">Meet Ada Lovelace, The First Computer Programmer<\/span><\/a><\/h3>\n<p><i><span style=\"font-weight: 400\">Discover Magazine<\/span><\/i><span style=\"font-weight: 400\">, November 3, 2022.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Ada Lovelace was a nineteenth-century mathematician known especially for her collaboration with Charles Babbage on early prototypes of computers. Some of her most groundbreaking work appeared in a paper she wrote about a machine Babbage had conceived of, called the Analytical Engine. Babbage envisioned that people <\/span><a href=\"https:\/\/www.britannica.com\/technology\/Analytical-Engine\"><span style=\"font-weight: 400\">would give the Analytical Engine instructions<\/span><\/a><span style=\"font-weight: 400\"> about formulas and values to compute, and it would print out the requested information. In her paper, Lovelace laid out a <\/span><a href=\"https:\/\/www.britannica.com\/story\/ada-lovelace-the-first-computer-programmer\"><span style=\"font-weight: 400\">procedure<\/span><\/a><span style=\"font-weight: 400\"> for calculating Bernoulli numbers on the Analytical Engine. But some have held onto suspicions that Lovelace\u2019s work was truly original. For <\/span><i><span style=\"font-weight: 400\">Discover Magazine<\/span><\/i><span style=\"font-weight: 400\">, Emilie le Beau Lucchesi details Ada Lovelace\u2019s accomplishments, as well as the sexist barriers that sprang up both in life and after her death.<\/span><\/p>\n<p><b>Classroom Activities: <\/b><em><span style=\"font-weight: 400\">programming, recursive sequences<\/span><\/em><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">The Bernoulli numbers form a recursive sequence, meaning they form an infinite list, and each number in the list depends on the previous items.<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(Mid level) Try <\/span><a href=\"https:\/\/www.khanacademy.org\/math\/algebra\/x2f8bb11595b61c86:sequences\/x2f8bb11595b61c86:constructing-arithmetic-sequences\/v\/recursive-formula-for-arithmetic-sequence\"><span style=\"font-weight: 400\">Khan Academy&#8217;s lessons on recursive sequences<\/span><\/a><span style=\"font-weight: 400\"> and do the practice problems.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(Mid level) Think of a recursive formula of your own, and calculate the first 5 terms in your sequence.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(High level) Read this <\/span><a href=\"https:\/\/projectlovelace.net\/problems\/ada-lovelaces-note-g\/#:~:text=Derivation%20of%20Ada%20Lovelace's%20algorithm&amp;text=The%20Bernoulli%20numbers%20B%20n,B%20n%20t%20n%20n%20!\"><span style=\"font-weight: 400\">Project Lovelace page<\/span><\/a><span style=\"font-weight: 400\"> describing Ada Lovelace\u2019s Bernoulli number algorithm. After learning what Bernoulli numbers are and how to calculate them, calculate the first 5 Bernoulli numbers.<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(High level, programming knowledge required) Write a computer program that, when given a number <\/span><i><span style=\"font-weight: 400\">n<\/span><\/i><span style=\"font-weight: 400\">, outputs the <\/span><i><span style=\"font-weight: 400\">n<\/span><\/i><span style=\"font-weight: 400\">th element of the recursive sequence you came up with in the last exercise.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: right\"><i><span style=\"font-weight: 400\">\u2014Leila Sloman<\/span><\/i><\/p>\n<hr \/>\n<h3><a id=\"5\" href=\"https:\/\/www.popularmechanics.com\/science\/math\/a41834762\/the-math-of-fireflies\/\"><span style=\"font-weight: 400\">Fireflies Sync Up Their Dazzling Light Shows With Mathematical Precision, Scientists Find<\/span><\/a><\/h3>\n<p><i><span style=\"font-weight: 400\">Popular Mechanics, <\/span><\/i><span style=\"font-weight: 400\">November 4, 2022.<\/span><\/p>\n<p><span style=\"font-weight: 400\">A large group of fireflies flashing in the night can be delightful to watch, especially if you\u2019re not used to seeing them. But sometimes something even cooler happens: The entire group coordinates their flashing. This isn\u2019t common, writes Tim Newcomb for <\/span><i><span style=\"font-weight: 400\">Popular Mechanics<\/span><\/i><span style=\"font-weight: 400\">, but it was mysterious enough for mathematicians to explore further. The flashing fireflies form a dynamical system, a system that evolves over time, and their coordination is a dynamical phenomenon called \u201csynchronization\u201d. The researchers (Madeline McCrea, Bard Ermentrout, and Jonathan Rubin) simulated flashing fireflies in a mathematical model, which they refined until they observed the synchronization they were looking for.<\/span><\/p>\n<p><b>Classroom Activities: <\/b><i><span style=\"font-weight: 400\">dynamics, differential equations<\/span><\/i><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(All levels) At the start of <\/span><a href=\"https:\/\/www.youtube.com\/watch?v=HAtZURl-Lzg&amp;ab_channel=GhanaNumericalAnalysis\"><span style=\"font-weight: 400\">this talk<\/span><\/a><span style=\"font-weight: 400\">, mathematician Steven Strogatz gives several real-world examples of synchronization similar to what the fireflies exhibit. Watch starting at time <\/span><a href=\"https:\/\/youtu.be\/HAtZURl-Lzg?t=107\"><span style=\"font-weight: 400\">1:47<\/span><\/a><span style=\"font-weight: 400\"> until minute 14:00 to see him describe all of the examples.<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(High level, Calculus) When modeling dynamical systems, mathematicians often use <\/span><a href=\"https:\/\/fabiandablander.com\/r\/Dynamical-Systems.html\"><i><span style=\"font-weight: 400\">differential equations<\/span><\/i><\/a><span style=\"font-weight: 400\">. These are equations that involve a function <\/span><i><span style=\"font-weight: 400\">f<\/span><\/i><span style=\"font-weight: 400\"> and its derivatives. Typically, a \u201csolution\u201d to a differential equation means a function\u00a0<em>f<\/em>(<em>x<\/em>) that satisfies the equation. For instance, <em>f<\/em>(<em>x<\/em>) = 2<em>x<\/em> satisfies the differential equation <em>f&#8217;<\/em>(<em>x<\/em>) = 2. In the following exercises, show that\u00a0<em>f<\/em>(<em>x<\/em>) solves the given differential equation.<\/span>\n<ul>\n<li><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=f%28x%29+%3D+e%5Ex%3B+%5C%3B+f%27%28x%29+%3D+f%28x%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"f(x) = e^x; &#92;; f&#039;(x) = f(x)\" class=\"latex\" \/><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=f%28x%29+%3D+e%5E%7Bx%5E2%7D%3B+%5C%3B+f%27%28x%29+%3D+2xf%28x%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"f(x) = e^{x^2}; &#92;; f&#039;(x) = 2xf(x)\" class=\"latex\" \/><\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=f%28x%29+%3D+x%5E3%3B+%5C%3B+f%27%28x%29%5E3+%3D+27f%28x%29%5E2&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"f(x) = x^3; &#92;; f&#039;(x)^3 = 27f(x)^2\" class=\"latex\" \/><\/span><\/li>\n<li style=\"font-weight: 400\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=f%28x%29+%3D+%5Csin%28x%29%3B+%5C%3B+f%27%27%28x%29+%3D+-f%28x%29&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"f(x) = &#92;sin(x); &#92;; f&#039;&#039;(x) = -f(x)\" class=\"latex\" \/><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">(Integral Calculus) Find a solution <\/span><i><span style=\"font-weight: 400\">f<\/span><\/i><span style=\"font-weight: 400\">(<em>x<\/em>) to <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=f%27%28x%29+%3D+f%28x%29%5E2&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"f&#039;(x) = f(x)^2\" class=\"latex\" \/>. <\/span><span style=\"font-weight: 400\">(Hint: Use u-substitution.)<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">For more on differential equations, and some harder examples, check out <\/span><a href=\"https:\/\/tutorial.math.lamar.edu\/classes\/de\/Definitions.aspx\"><span style=\"font-weight: 400\">Paul&#8217;s Online Notes<\/span><\/a><span style=\"font-weight: 400\">.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: right\"><i><span style=\"font-weight: 400\">\u2014Leila Sloman<\/span><\/i><\/p>\n<hr \/>\n<h3>Some more of this month&#8217;s headlines<\/h3>\n<ul>\n<li><a href=\"https:\/\/www.pbs.org\/wgbh\/nova\/article\/math-thought-experiment-zero-infinity\/\">4 mind-bending math experiments that explain infinity<\/a><br \/>\n<em>Nova PBS,\u00a0<\/em>November 29, 2022<\/li>\n<li><a href=\"https:\/\/www.thenation.com\/article\/society\/john-von-neumann\/\">Fortress of Logic<\/a><br \/>\n<em>The Nation,\u00a0<\/em>November 28, 2022<\/li>\n<li><a href=\"https:\/\/aeon.co\/essays\/how-to-solve-moral-problems-with-formal-logic-and-probability\">Moral mathematics<br \/>\n<\/a><em>Aeon,\u00a0<\/em>November 28, 2022<\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/simple-geometry-shows-when-two-shapes-are-equal-20221121\/\">The Simple Geometry Behind Brownie Bake Offs and Equal Areas<\/a><br \/>\n<em>Quanta Magazine<\/em>, November 21, 2022<\/li>\n<li><a href=\"https:\/\/www.nature.com\/articles\/d41586-022-03747-9\">How many yottabytes in a quettabyte? Extreme numbers get new names<\/a><br \/>\n<em>Nature News,<\/em> November 18, 2022<\/li>\n<li><a href=\"https:\/\/www.nature.com\/articles\/d41586-022-03689-2\">Mathematician who solved prime-number riddle claims new breakthrough<\/a><br \/>\n<em>Nature News,\u00a0<\/em>November 14, 2022<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Everything you need to know about the math of Powerball What Students Are Saying About the Value of Math Strategic voting is possible but risky on a ranked choice ballot, mathematicians say Meet Ada Lovelace, The First Computer Programmer Fireflies Sync Up Their Dazzling Light Shows With Mathematical Precision, Scientists<span class=\"more-link\"><a href=\"https:\/\/mathvoices.ams.org\/mathmedia\/math-digests-november-2022\/\">Read More &rarr;<\/a><\/span><\/p>\n","protected":false},"author":13,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[2],"tags":[6,143,22,25,169,171,168,35,154,73,74,172,170],"class_list":["entry","author-leilasloman","post-1370","post","type-post","status-publish","format-standard","category-math-in-the-media-digests","tag-algebra","tag-calculus","tag-differential-equations","tag-dynamics","tag-education","tag-elections","tag-expected-value","tag-geometry","tag-math-anxiety","tag-probability","tag-programming","tag-recursive-sequences","tag-voting"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/1370","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/comments?post=1370"}],"version-history":[{"count":19,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/1370\/revisions"}],"predecessor-version":[{"id":1454,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/1370\/revisions\/1454"}],"wp:attachment":[{"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/media?parent=1370"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/categories?post=1370"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/tags?post=1370"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}