{"id":3742,"date":"2025-07-31T08:00:58","date_gmt":"2025-07-31T12:00:58","guid":{"rendered":"https:\/\/mathvoices.ams.org\/mathmedia\/?p=3742"},"modified":"2025-07-30T12:50:18","modified_gmt":"2025-07-30T16:50:18","slug":"math-digests-june-2025","status":"publish","type":"post","link":"https:\/\/mathvoices.ams.org\/mathmedia\/math-digests-june-2025\/","title":{"rendered":"Math Digests June 2025"},"content":{"rendered":"<h3><a href=\"https:\/\/www.scientificamerican.com\/article\/the-hidden-game-theory-of-sherlock-holmes\/\">The Game Theory Hidden in the Mind of Sherlock Holmes<\/a><\/h3>\n<p><em>Scientific American<\/em>, June 24, 2025<\/p>\n<p>In mathematics, a \u201cgame\u201d can be deadly serious. The field of game theory is dedicated to finding and analyzing winning strategies for all kinds of situations, including <a href=\"https:\/\/plato.stanford.edu\/entries\/game-theory\/\">trading on the stock market<\/a>\u2014or escaping from your enemies. In this article, Manon Bischoff recounts one of the examples used in the early days of game theory, in which fictional detective Sherlock Holmes must evade an attack from Professor James Moriarty.<\/p>\n<p><strong>Classroom Activities: <\/strong><em>probability, optimization<\/em><\/p>\n<ul>\n<li>(All levels) Read the first section of the article, up to the section header \u201cA Battle of Wits.\u201d Write down the four possible scenarios Holmes faces. Explain what you would do in his situation, and why.<\/li>\n<li>(Mid-level) Continue the article, reading through the first paragraph of the section \u201cPlaying with Probabilities.\u201d In this activity, we\u2019ll recreate the solution discussed in the last part of the article.\n<ul>\n<li>Bischoff tells us: \u201cHolmes chooses Dover with a probability of <em>p<\/em> and that Moriarty does so with a probability of <em>q<\/em>.\u201d Write a formula for Holmes\u2019 expected payoff, in terms of <em>p <\/em>and <em>q<\/em>.<\/li>\n<li>Whichever value of <em>p <\/em>Holmes chooses, there are a variety of expected payoffs, depending on which <em>q <\/em>Moriarty has chosen.\n<ul>\n<li>For <em>p <\/em>= 0, 0.4, 0.8, and 1, find a formula for Holmes\u2019 expected payoff in terms of <em>q<\/em>.<\/li>\n<li>For each <em>p<\/em>, calculate the value of <em>q <\/em>that results in the worst outcome for Holmes. Calculate the corresponding expected payoff.<\/li>\n<li>Now, consider more values of <em>p<\/em>, and plot Holmes\u2019 minimum expected payoff as a function of <em>p<\/em>.<\/li>\n<\/ul>\n<\/li>\n<li>Based on the graph, which value of <em>p <\/em>should Holmes choose? Why? Are there other ways to choose <em>p<\/em>, other than the strategy outlined here?<\/li>\n<li>If we change Holmes\u2019 payoff table to the one below, what is the optimal value of <em>p<\/em>?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3744 aligncenter\" src=\"https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/Holmes-Moriarty-table.png?resize=300%2C144&#038;ssl=1\" alt=\"If both Holmes and Moriarty disembark at the same place, Holmes' payoff is -70. If Holmes gets off at Canterbury and Moriarty gets off at Dover, Holmes' payoff is 10. If Holmes gets off at Dover and Moriarty at Canterbury, Holmes' payoff is 30.\" width=\"300\" height=\"144\" srcset=\"https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/Holmes-Moriarty-table.png?resize=300%2C144&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/Holmes-Moriarty-table.png?resize=768%2C368&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/Holmes-Moriarty-table.png?resize=465%2C223&amp;ssl=1 465w, https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/Holmes-Moriarty-table.png?resize=695%2C333&amp;ssl=1 695w, https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/Holmes-Moriarty-table.png?w=890&amp;ssl=1 890w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<ul>\n<li>(High level) Read the rest of the article. Is it compatible with your answer? Explain the correspondence between Bischoff\u2019s reasoning and yours.<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Leila Sloman<\/em><em>\u00a0<\/em><\/p>\n<hr \/>\n<h3><a href=\"https:\/\/eos.org\/editors-vox\/two-equations-that-unlock-el-nino\">Two Equations that Unlock El Ni\u00f1o<\/a><\/h3>\n<p><em>EOS<\/em>, June 5, 2025<\/p>\n<p>The Earth\u2019s climate patterns are mathematically intertwined. This <em>EOS<\/em> article discusses a natural climate event called the El Ni\u00f1o Southern Oscillation, or ENSO. ENSO typically has two phases: El Ni\u00f1o, when the eastern Pacific Ocean gets warmer than normal, and La Ni\u00f1a, when it gets cooler. \u201cAlthough ENSO originates in the tropical Pacific, its influence extends globally through atmospheric \u2018teleconnections,\u2019\u201d wrote J\u00e9r\u00f4me Vialard. Vialard spoke with a scientist who recently presented a simplified mathematical representation of ENSO and its global connections.<\/p>\n<figure id=\"attachment_3747\" aria-describedby=\"caption-attachment-3747\" style=\"width: 373px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-3747 size-full\" src=\"https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/NOAA-El-Nino-image.png?resize=373%2C210&#038;ssl=1\" alt=\"An equation for dT\/dt which depends on parameters T, R, F_1, h, sigma_T, xi_T, B, H(T), b, and c. An equation for dh\/dt which depends on parameters epsilon, h, F_2, sigma_h, and xi_h.\" width=\"373\" height=\"210\" srcset=\"https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/NOAA-El-Nino-image.png?w=373&amp;ssl=1 373w, https:\/\/i0.wp.com\/mathvoices.ams.org\/mathmedia\/wp-content\/uploads\/sites\/3\/2025\/07\/NOAA-El-Nino-image.png?resize=300%2C169&amp;ssl=1 300w\" sizes=\"auto, (max-width: 373px) 100vw, 373px\" \/><figcaption id=\"caption-attachment-3747\" class=\"wp-caption-text\">Image used under <a href=\"https:\/\/www.omao.noaa.gov\/image-licensing-usage-info\">NOAA Image &amp; Licensing Guidelines<\/a>.<\/figcaption><\/figure>\n<p><strong>Classroom Activities:<\/strong><em> mathematical modeling, calculus, nonlinear equations<\/em><\/p>\n<ul>\n<li>(High level) Read the article. Explain in your own words what the recharge oscillator equations are meant to do.<\/li>\n<li>(High level) The equation discussed in this new academic study is advanced. However, by unpacking what each variable represents, we can get a <em>qualitative<\/em> sense of each equation. For example, we know that $H$ represents \u201ctemperature\u201d and $t$ represents time. The derivative ${dT \\over dt}$ therefore represents <em>how much temperature changes per unit time.<\/em>\n<ul>\n<li>List all the variables and their meanings based on the text and <a href=\"https:\/\/agupubs.onlinelibrary.wiley.com\/doi\/10.1029\/2024RG000843#rog20369-tbl-0001\">Table 1 in the study<\/a>.<\/li>\n<li>The variable $h$ represents the amount of heat in the equatorial Pacific Ocean. What does the first term of the second equation ${dh \\over dt}$ represent?<\/li>\n<li>How does the negative sign in front of the term $\\epsilon h$ affect the total heat?<\/li>\n<li>$F_1$ corresponds to effects from the thermocline, the fact that ocean temperatures decrease rapidly with depth. When these effects are large, does the equatorial heat content affect ${dT \\over dt}$ more or less?<\/li>\n<li>Multiple terms contain the temperature variable, $T$. Some are raised to higher exponents than others. These terms can introduce more complex behaviors, such as regular oscillations up and down with time or \u201cchaotic\u201d effects. Using Google, research how else quadratic ($x^2$) and cubic ($x^3$) terms influence nonlinear systems. Discuss what you learn.<\/li>\n<\/ul>\n<\/li>\n<li>(High level) Examine the linear versions of the recharge oscillator equations. (Equations (1) and (2) <a href=\"https:\/\/agupubs.onlinelibrary.wiley.com\/doi\/10.1029\/2024RG000843\">in the study<\/a>.) Suppose $R$, $F_1$, and $\\epsilon$ are 1, while $F_2 = 0$.\n<ul>\n<li>Verify that the functions $T(t) = e^t T(0) + \\frac{1}{2}(e^t \u2013 e^{-t})h(0)$, $h(t) = e^{-t}h(0)$ solve the equations.<\/li>\n<li>Suppose $R$ and $\\epsilon$ are 1, while $F_1$ and $F_2$ are both zero. Can you find a solution for $T(t)$ and $h(t)$?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Max Levy<\/em><\/p>\n<hr \/>\n<h3><a href=\"https:\/\/www.bbc.com\/news\/articles\/czj483zg0lgo\">Lincoln City football kit features coded message<\/a><\/h3>\n<p><em>BBC News<\/em>, June 9, 2025<\/p>\n<p>The acclaimed logician George Boole is being honored by the soccer team in Lincoln, England, where he was born. Boole is known for Boolean logic, a system that converts logical statements into 0s and 1s. This makes it possible to apply the tools of algebra, like addition and subtraction, to logic. \u201cThe former teacher, who founded two schools, is commemorated throughout his home city,\u201d writes Shirley Henry for <em>BBC News<\/em>. With new uniforms that display their slogan in binary code, the Lincoln City team is adding one more commemoration to that list.<\/p>\n<p><strong>Classroom Activities:<\/strong> <em>logic, binary, algebra<\/em><\/p>\n<ul>\n<li>(Mid-level) In these activities, you\u2019ll learn about Boolean ideas from videos made by professor Hany Farid. Start by watching <a href=\"https:\/\/www.youtube.com\/watch?v=a4yIRWcIoD0\">this video<\/a> up to timestamp 06:35. Answer the following questions.\n<ul>\n<li>At timestamp <a href=\"https:\/\/youtu.be\/a4yIRWcIoD0?feature=shared&amp;t=42\">00:42<\/a>, Farid shows a truth table for the logical expression \u201c<em>a<\/em> AND <em>b<\/em>\u201d. Describe in your own words what each row of the truth table means.<\/li>\n<li>Farid shows truth tables that involve two variables, <em>a <\/em>and <em>b<\/em>. Sometimes, we want to consider logical expressions involving more than two variables. Construct truth tables for the following logical expressions: <em>a <\/em>OR <em>b <\/em>OR <em>c<\/em>, <em>a <\/em>AND <em>b<\/em> AND <em>c<\/em><\/li>\n<li>Discuss as a class the meaning of the expression (<em>a <\/em>AND <em>b<\/em>) OR <em>c<\/em>. Once you\u2019ve settled on a meaning, construct a truth table for it.<\/li>\n<li>Can you find an algebraic expression for the NOT and AND operations?<\/li>\n<\/ul>\n<\/li>\n<li>(High level) In Boolean logic, a statement can have two values: Either TRUE or FALSE. Because of this, <a href=\"https:\/\/courses.cs.washington.edu\/courses\/cse390b\/21sp\/readings\/binary_arithmetic.html\">there is a correspondence<\/a> between Boolean logic and <strong>binary numbers<\/strong>\u2014numbers whose digits have two possible values, 0 or 1. Watch another of Farid\u2019s videos, this time about <a href=\"https:\/\/www.youtube.com\/watch?v=VtzLej7XOqQ\">binary numbers<\/a>. Try the following exercises.\n<ul>\n<li>Convert the number 353 in base 6 to base 10.<\/li>\n<li>Convert the number 81 in base 10 to base 7.<\/li>\n<li>Convert your birth year to base 1000.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Leila Sloman<\/em><\/p>\n<hr \/>\n<h3><a href=\"https:\/\/www.nytimes.com\/interactive\/2025\/06\/09\/science\/math-strogatz-taxi-geometry.html\">In Taxicab Geometry, Pi Equals 4 and Circles Aren\u2019t Round<\/a><\/h3>\n<p><em>New York Times<\/em>, June 9, 2025<\/p>\n<p>Roads and hallways often restrict your direction of travel. For example, you might drive to school along straight roads that go either north-south or east-west, rather than driving diagonally through homes and fields. If you measure distance based on how far you drive along the roads, you get what mathematicians call \u201ctaxicab geometry.\u201d It can make some math problems easier: In taxicab geometry, a walk of 5 blocks north and 2 blocks east is always the same length, no matter which streets you turn on. \u201cYou have to admit: Taxicab geometry has its advantages! But it also leads to surprises,\u201d wrote Steven Strogatz in this <em>New York Times<\/em> article about the weird math of taxicab geometry.<\/p>\n<p><strong>Classroom Activities:<\/strong><em> geometry<\/em><\/p>\n<ul>\n<li>(Mid-level) Calculate the following distances, assuming that city blocks measure \u00bd mile on each side:\n<ul>\n<li>How many miles would you walk if you follow the street grid 1 mile north and 2 miles east?<\/li>\n<li>How many miles would you walk if you follow the street grid 20 blocks south and 4 blocks east?<\/li>\n<li>For each question above, how many miles would a bird travel if it flew between the two points?<\/li>\n<\/ul>\n<\/li>\n<li>(Mid-level) Repeat the checkerboard exercise from the article using four red dots each 4 units away from the central black dot.\n<ul>\n<li>Explain how you find where to place the red dots between the four corners.<\/li>\n<li>Explain in your own words why the \u201ccircle\u201d looks like a diamond in taxicab geometry.<\/li>\n<li>Calculate the taxicab value of $\\pi$ in this arrangement.<\/li>\n<\/ul>\n<\/li>\n<li>(High-level) Aside from robots and computer chips, what other uses can you imagine for taxicab geometry in the real world?<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Max Levy<\/em><\/p>\n<hr \/>\n<h3><a href=\"https:\/\/www.wpr.org\/news\/virtual-reality-wisconsin-school-math-problems\">Can virtual reality solve Wisconsin\u2019s school math problems?<\/a><\/h3>\n<p><em>Wisconsin Public Radio<\/em>, June 11, 2025<\/p>\n<p>It can be difficult to learn math just from textbooks and homework. Some educators hope that immersive games that include virtual reality can help. \u201cInstead of reading and memorizing, students will solve problems using rich contextual experiences and kinesthetic sense-making tools,\u201d according to a Wisconsin government proposal to provide at least 3,200 VR headsets to schools in urban, suburban, and rural districts. This <em>WPR <\/em>article describes the proposed legislation and a recent study conducted by a VR company.<\/p>\n<p><strong>Classroom Activities:<\/strong><em> scientific method, math education<\/em><\/p>\n<ul>\n<li>(Mid-level) Look at the examples of VR in math found on <a href=\"https:\/\/www.prismsvr.com\/what-is-prisms\">Prisms VR\u2019s website<\/a>.\n<ul>\n<li>In what ways do you think virtual reality would (or would not) make learning these concepts easier?<\/li>\n<li>Describe two different math concepts that may be easier to learn through VR.<\/li>\n<\/ul>\n<\/li>\n<li>(High-level) Read <a href=\"https:\/\/drive.google.com\/file\/d\/1Vk4fD0IzPWLSJdOgdHyO8tggmywurqU4\/view?pli=1\">this summary of an education study<\/a> conducted by the company Prisms VR.\n<ul>\n<li>What was the company\u2019s hypothesis going into the study?<\/li>\n<li>How did the company test their hypothesis?<\/li>\n<li>What scientific or mathematical evidence does the company use to support their hypothesis?<\/li>\n<li>What questions does this study <em>not<\/em> answer?<\/li>\n<li>Read <a href=\"https:\/\/catalogofbias.org\/biases\/industry-sponsorship-bias\/\">this article<\/a> about the potential biases in industry-sponsored research. In what ways (if any) might this study and proposal be biased?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Max Levy<\/em><\/p>\n<hr \/>\n<h3>More of this month\u2019s math headlines<\/h3>\n<ul>\n<li><a href=\"https:\/\/www.nytimes.com\/interactive\/2025\/06\/30\/science\/math-strogatz-calculus-bowling.html\">Bowling for Nobels<\/a><br \/>\n<em>The New York Times<\/em>, June 30, 2025<\/li>\n<li><a href=\"https:\/\/www.econtalk.org\/the-deceptive-power-of-maps-with-paulina-rowinska\/\">The Deceptive Power of Maps<\/a><br \/>\n<em>EconTalk<\/em>, June 30, 2025<\/li>\n<li><a href=\"https:\/\/www.newscientist.com\/article\/2486184-mathematicians-create-a-tetrahedron-that-always-lands-on-the-same-side\/\">Mathematicians create a tetrahedron that always lands on the same side<\/a><br \/>\n<em>New Scientist<\/em>, June 27, 2025<\/li>\n<li><a href=\"https:\/\/www.nytimes.com\/2025\/06\/26\/science\/physics-ice-bubbles-code.html\">Here\u2019s Another Use for Ice: Creating Secret Codes<\/a><br \/>\n<em>The New York Times<\/em>, June 26, 2025<\/li>\n<li><a href=\"https:\/\/english.elpais.com\/science-tech\/2025-06-24\/spanish-mathematician-javier-gomez-serrano-and-google-deepmind-team-up-to-solve-the-navier-stokes-million-dollar-problem.html\">Spanish mathematician Javier G\u00f3mez Serrano and Google DeepMind team up to solve the Navier-Stokes million-dollar problem<\/a><br \/>\n<em>El Pa\u00eds<\/em>, June 24, 2025<\/li>\n<li><a href=\"https:\/\/www.newscientist.com\/article\/2484119-why-physicists-think-geometry-is-the-path-to-a-theory-of-everything\/\">Why physicists think geometry is the path to a theory of everything<\/a><br \/>\n<em>New Scientist<\/em>, June 23, 2025<\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/is-mathematics-mostly-chaos-or-mostly-order-20250620\/\">Is Mathematics Mostly Chaos or Mostly Order?<\/a><br \/>\n<em>Quanta Magazine<\/em>, June 20, 2025<\/li>\n<li><a href=\"https:\/\/seattlemedium.com\/building-blocks-math-young-students\/\">The Building Blocks Of Math That Young Students Need To Excel \u2014 But Aren\u2019t Always Getting<\/a><br \/>\n<em>The Seattle Medium<\/em>, June 10, 2025<\/li>\n<li><a href=\"https:\/\/www.scientificamerican.com\/article\/inside-the-secret-meeting-where-mathematicians-struggled-to-outsmart-ai\/\">At Secret Math Meeting, Researchers Struggle to Outsmart AI<\/a><br \/>\n<em>Scientific American<\/em>, June 6, 2025<\/li>\n<li><a href=\"https:\/\/www.scientificamerican.com\/article\/mathematicians-solve-multidimensional-shape-slicing-dilemma\/\">Mathematicians Solve Multidimensional Fruit-Slicing Dilemma<\/a><br \/>\n<em>Scientific American<\/em>, June 5, 2025<\/li>\n<li><a href=\"https:\/\/www.nature.com\/articles\/d41586-025-01763-z\">Yvonne Choquet-Bruhat obituary: mathematician who established that Einstein\u2019s equations mirror the real world<\/a><br \/>\n<em>Nature News<\/em>, June 4, 2025<\/li>\n<li><a href=\"https:\/\/www.technologyreview.com\/2025\/06\/04\/1117753\/whats-next-for-ai-and-math\/\">What\u2019s next for AI and math<\/a><br \/>\n<em>MIT Technology Review<\/em>, June 4, 2025<\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/the-core-of-fermats-last-theorem-just-got-superpowered-20250602\/\">The Core of Fermat\u2019s Last Theorem Just Got Superpowered<\/a><br \/>\n<em>Quanta Magazine<\/em>, June 2, 2025<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The Game Theory Hidden in the Mind of Sherlock Holmes Scientific American, June 24, 2025 In mathematics, a \u201cgame\u201d can be deadly serious. The field of game theory is dedicated to finding and analyzing winning strategies for all kinds of situations, including trading on the stock market\u2014or escaping from your<span class=\"more-link\"><a href=\"https:\/\/mathvoices.ams.org\/mathmedia\/math-digests-june-2025\/\">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_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":"","jetpack_post_was_ever_published":false},"categories":[2],"tags":[6,478,143,35,47,195,53,288,114,73,479],"class_list":["entry","author-leilasloman","post-3742","post","type-post","status-publish","format-standard","category-math-in-the-media-digests","tag-algebra","tag-binary","tag-calculus","tag-geometry","tag-logic","tag-math-education","tag-mathematical-modeling","tag-nonlinear-equations","tag-optimization","tag-probability","tag-scientific-method"],"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\/3742","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=3742"}],"version-history":[{"count":10,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/3742\/revisions"}],"predecessor-version":[{"id":3754,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/3742\/revisions\/3754"}],"wp:attachment":[{"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/media?parent=3742"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/categories?post=3742"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/tags?post=3742"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}