{"id":1803,"date":"2023-08-18T11:22:36","date_gmt":"2023-08-18T15:22:36","guid":{"rendered":"https:\/\/mathvoices.ams.org\/mathmedia\/?p=1803"},"modified":"2023-08-18T11:22:36","modified_gmt":"2023-08-18T15:22:36","slug":"math-digests-july-2023","status":"publish","type":"post","link":"https:\/\/mathvoices.ams.org\/mathmedia\/math-digests-july-2023\/","title":{"rendered":"Math Digests July 2023"},"content":{"rendered":"<ul>\n<li><a href=\"#1\">June\u2019s record-smashing temperatures \u2014 in data<\/a><\/li>\n<li><a href=\"#2\">Evelyn Boyd Granville, barrier-breaking mathematician, dies at 99<\/a><\/li>\n<li><a href=\"#3\">Mathematicians find 27 tickets that guarantee UK National Lottery win<\/a><\/li>\n<li><a href=\"#4\">How M.C. Escher Created His Mathematical Artwork<\/a><\/li>\n<li><a href=\"#5\">Explainer: What is chaos theory?<\/a><\/li>\n<\/ul>\n<hr \/>\n<p><a id=\"1\" href=\"https:\/\/www.nature.com\/articles\/d41586-023-02219-y\">June\u2019s record-smashing temperatures \u2014 in data<\/a><\/p>\n<p><em>Nature<\/em>, July 5, 2023.<\/p>\n<p>This June, extreme heat scorched across the northern hemisphere. \u201cRecords for individual climate phenomena have been broken in previous years, but this June felt different,\u201d writes Katharine Sanderson for <em>Nature<\/em>. Sanderson is referring to records of climate data kept since 1850. In all that time, neither air temperatures nor sea surface temperatures have been so high in June. Even in the southern hemisphere, where June is winter, it\u2019s been unseasonably warm: Antarctic sea ice reached a record low compared to previous Junes. Sanderson&#8217;s article breaks down important metrics that help us measure just how hot Earth is becoming due to climate change.<\/p>\n<p><strong>Classroom Activities:<\/strong> <em>climate data, scientific analysis<\/em><\/p>\n<ul>\n<li>(All levels) Some data in the article come from <a href=\"https:\/\/climatereanalyzer.org\/\">Climate Reanalyzer<\/a>. Use the website to answer the following:\n<ul>\n<li>List three metrics, other than air temperature, that climate scientists can use to compare climate from year to year.<\/li>\n<li>What does \u201c2m air temperature\u201d mean? Why is the \u201c2m\u201d important?<\/li>\n<li>Describe what the \u201cDaily 2m Air Temperature\u201d plot is revealing. What can you conclude about this year so far?<\/li>\n<\/ul>\n<\/li>\n<li>(Mid level) Create a table showing the extent of northern hemisphere sea ice (in million km$^2$) on September 1 of the first 5 years recorded and the newest 5 years recorded.\n<ul>\n<li>What is the average over the first 5 years? Over the most recent 5 years?<\/li>\n<li>What is the standard deviation for each set?<\/li>\n<li>Make a conclusion based on your analysis.<\/li>\n<\/ul>\n<\/li>\n<li>(Mid level) Follow <a href=\"https:\/\/scied.ucar.edu\/activity\/weather-and-climate-data-exploration\">this Climate Data Activity<\/a> from UCAR (University Corporation for Atmospheric Research).<\/li>\n<li>(High level) Learn about probabilities and uncertainty related to climate change with <a href=\"https:\/\/www.climate.gov\/teaching\/resources\/probabilities-uncertainties-and-units-used-to-quantify-climate-change-21120\">this activity from NOAA<\/a> (National Oceanic and Atmospheric Administration).<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Max Levy<\/em><\/p>\n<hr \/>\n<p><a id=\"2\" href=\"https:\/\/www.washingtonpost.com\/obituaries\/2023\/07\/14\/evelyn-boyd-granville-mathematician-black-dies\/\">Evelyn Boyd Granville, barrier-breaking mathematician, dies at 99<\/a><\/p>\n<p><em>The Washington Post<\/em>, July 14, 2023.<\/p>\n<p>Mathematician Evelyn Boyd Granville, who made important contributions to the American space program, died at age 99 on June 27, 2023. Granville, who received her doctorate in mathematics <a href=\"https:\/\/www.space.com\/nasa-hidden-figure-evelyn-boyd-granville-mathematician-obituary\">from Yale University in 1949<\/a>, was one of the first Black women to obtain a mathematics PhD in the United States. In an article for <em>The Washington Post<\/em>, Brian Murphy describes some of Granville\u2019s experiences, her teaching, and her role in the space program. As a mathematician at IBM and at North American Aviation, Granville worked on NASA satellites, on the <a href=\"https:\/\/www.nasa.gov\/mission_pages\/mercury\/missions\/program-toc.html\">Mercury<\/a> program to launch the first American into space, and on moon landing calculations for the Apollo missions. Granville also taught mathematics in multiple universities and wrote a college mathematics textbook that was used in more than 50 schools.<\/p>\n<p><strong>Classroom Activities:<\/strong> <em>space, pi, physics, astronomy<\/em><\/p>\n<ul>\n<li>(Geometry) Evelyn Boyd Granville worked on mathematical problems for NASA. To see one way that math is used in the space program, take a look at this <a href=\"https:\/\/www.jpl.nasa.gov\/infographics\/how-pi-makes-nasajpl-go-round\">NASA poster<\/a> about using $\\pi$ to measure properties of planets and other objects in space. Discuss: did any of the uses of $\\pi$ described in the poster surprise you? Was there anything you found especially interesting?\n<ul>\n<li>The poster says that using $\\pi$ and an asteroid\u2019s radius and mass, scientists can calculate the asteroid\u2019s density and find out what it is made of\u2014for example, ice, rock, or iron. If a sphere-shaped asteroid has radius $r$ and mass $m$, what is its density? (Hint: the density of an object is its mass divided by its volume.) Once you know the density of an asteroid, how would you figure out what it is made of?<\/li>\n<\/ul>\n<\/li>\n<li>(All levels) Evelyn Boyd Granville\u2019s work included calculations for orbit trajectories. Recently, astronaut Chris Hadfield and mathematician Matt Parker discussed the <a href=\"https:\/\/www.youtube.com\/watch?v=PooFvQEN4n8\">mathematics of orbits<\/a> in a video on YouTube.\n<ul>\n<li>Watch the video from <a href=\"https:\/\/youtu.be\/PooFvQEN4n8?t=417\">time 6:57<\/a> to time 10:28. Note that in this video, $v$ refers to the speed of the spacecraft in orbit, $G$ is a number called the gravitational constant, $M$ is the mass of the earth, and $r$ is the radius\u2014that is, the distance between the spacecraft and the center of the Earth.<\/li>\n<li>Hadfield said that when he was in orbit at about 420 kilometers above the Earth\u2019s surface, he was moving at a speed of about 8 kilometers per second. Based on the video, if another astronaut had also been in orbit further away from the Earth, would that second astronaut have been moving at a faster, slower, or identical speed to Hadfield? How does your answer relate to the equation $v^2 = GM\/r$?<\/li>\n<li>If you are interested in more mathematical details, you can watch the video from the beginning or check out the <a href=\"https:\/\/think-maths.co.uk\/wp-content\/uploads\/2023\/03\/Orbital-Mechanics.pdf\">accompanying notes<\/a>. For more about Hadfield\u2019s experiences with orbits as an astronaut, watch the second part of the video, from 10:28 until the end.<\/li>\n<li>How did this video affect the way you think about orbits? What else would you like to understand about orbits, or about the math of space travel?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\">\u2014<em>Tamar Lichter Blanks<\/em><\/p>\n<hr \/>\n<p><a id=\"3\" href=\"https:\/\/www.newscientist.com\/article\/2384455-mathematicians-find-27-tickets-that-guarantee-uk-national-lottery-win\/\">Mathematicians find 27 tickets that guarantee UK National Lottery win<\/a><\/p>\n<p><em>New Scientist<\/em>, July 28, 2023.<\/p>\n<p>Participants in the United Kingdom\u2019s \u201cLotto\u201d game try to predict the 6 winning numbers between 1 and 59. Players who get two numbers right win a free, randomly-generated ticket (a \u201cLucky Dip\u201d) for the next game. If a player gets three or more numbers right, they win cash \u2014 potentially millions of pounds if they choose all six numbers correctly. In a new preprint, David Cushing and David Stewart of the University of Manchester show that you can buy just 27 tickets and guarantee yourself a free Lucky Dip. Matthew Sparkes reports on their finding for <em>New Scientist.<\/em><\/p>\n<p><strong>Classroom Activities: <\/strong><em>combinatorics, probability<\/em><\/p>\n<ul>\n<li>(Mid level) In the Lotto, numbers are chosen \u201cwithout replacement\u201d \u2014 once a number is selected, it cannot be selected again.\n<ul>\n<li>There are 45,057,474 possible draws of six distinct numbers in the real Lotto. Suppose you\u2019re playing a game where tickets are made up of 2 distinct numbers between 1 and 5. (Call it Lotto(2,5).) How many possible draws are there? Find the smallest set of tickets that, if played together, guarantees you get at least one of the numbers right.<\/li>\n<li>Now suppose you\u2019re playing Lotto(3,5), where tickets are made up of 3 distinct numbers between 1 and 5. How many tickets would you need to play to get at least two of the numbers right?<\/li>\n<li>In the alternate versions of Lotto, how many draws would be possible if the same number could be drawn more than once?<\/li>\n<\/ul>\n<\/li>\n<li>(All levels) Sharpe points out that in the Lotto, each ticket costs 2 pounds, while the prize guaranteed by Cushing and Stewart\u2019s proposed set of 27 tickets \u2014 a free Lucky Dip \u2014 may not result in any actual cash winnings. Indeed, on July 1, Cushing and Stewart won 3 Lucky Dips with their 27 tickets, and won nothing. How much would the prize have to be worth to guarantee that a player using the 27 tickets ends up gaining money?\n<ul>\n<li>(Mid level, Probability) <a href=\"https:\/\/www.lottery.co.uk\/lotto\/odds\">According to Lottery.co.uk<\/a>, the chance of winning a cash prize in the Lotto is about 1%. Before playing their 3 Lucky Dips, what were Cushing and Stewart\u2019s chances of a cash prize?<\/li>\n<li>(High level) In the previous question, you might have used the fact that the 3 Lucky Dips were independently generated. This is not true with the 27 tickets that Cushing and Stewart came up with. Do you think that their 27 tickets are more or less likely to result in a cash prize than 27 independently generated tickets?\n<ul>\n<li>Try to justify your prediction by randomly generating tickets using <a href=\"https:\/\/numbergenerator.org\/3randomnumbersbetween1and5\">this random number generator<\/a>, and comparing to the winning sets of tickets you came up with for Lotto(2,5) and Lotto(3,5).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Leila Sloman<\/em><\/p>\n<hr \/>\n<p><a id=\"4\" href=\"https:\/\/www.popularmechanics.com\/science\/math\/a44450386\/math-in-mc-escher-art\/\">How M.C. Escher Created His Mathematical Artwork<\/a><\/p>\n<p><em>Popular Mechanics<\/em>, July 6, 2023.<\/p>\n<p>Mathematicians love M.C. Escher for his art depicting complex geometry and the concept of infinity. Yet the artist failed classes and never finished high school. In his twenties, he visited a part of Spain known for Islamic tilings that fit together in unusual ways. Those patterns inspired him. He spent years perfecting his own infinite patterns, known as tessellations. He also created \u201chyperbolic tessellations,\u201d based on a geometry that deals with curved surfaces where parallel lines diverge infinitely. \u201cEscher became excited about this drawing because he saw this technique could be used to capture infinity in a circle,\u201d writes Kat Friedrich in this <em>Popular Mechanics<\/em> article, which describes how Escher created hyperbolic tessellations and other mathematical masterpieces.<\/p>\n<p><strong>Classroom Activities:<\/strong> <em>tessellations, Poincar\u00e9<\/em><\/p>\n<ul>\n<li>(All levels) Create tessellations using <a href=\"https:\/\/www.nctm.org\/Classroom-Resources\/Illuminations\/Interactives\/Tessellation-Creator\/\">this interactive web app.<\/a>\n<ul>\n<li>Which different shapes can fit together? Can triangles fit together with hexagons? With pentagons?<\/li>\n<li>Which shapes can tessellate with themselves?<\/li>\n<li>Which shapes cannot tessellate with themselves?<\/li>\n<\/ul>\n<\/li>\n<li>(High level) Escher consulted with a mathematician to figure out arcs for his hyperbolic tessellations, using the Poincar\u00e9 disk model. Hyperbolic geometry distorts lines and distances. In Euclidean geometry, the shortest distance between two points is a straight line. But in hyperbolic geometry, the shortest distance between two points is actually a curved path. The disk represents an infinite space \u2014 one inch at the edge represents a greater distance than one inch in the center. The distortions allow us to mathematically confine that infinite space to a circle. Use <a href=\"https:\/\/www.geogebra.org\/m\/SQguSCzy\">this interactive model of the Poincar<\/a><a href=\"https:\/\/www.geogebra.org\/m\/SQguSCzy\">\u00e9<\/a><a href=\"https:\/\/www.geogebra.org\/m\/SQguSCzy\"> disk<\/a> to explore the math behind Escher\u2019s art. Explore this model and then click the \u201cCircle Limit III\u201d button to see Escher\u2019s artwork.\n<ul>\n<li>What do each of the three intersection points have in common with the artwork that the \u201cCircle Limit III\u201d button reveals?<\/li>\n<li>What do the curves between intersection points trace on the artwork?<\/li>\n<li>What do the medians, altitudes, angle bisectors, and circumcircle trace?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Max Levy<\/em><\/p>\n<hr \/>\n<p><a id=\"5\" href=\"https:\/\/www.snexplores.org\/article\/explainer-chaos-theory-math-physics-nature\">Explainer: What is chaos theory?<\/a><\/p>\n<p><em>Science News Explores<\/em>, July 10, 2023.<\/p>\n<p>Those of us who struggle with bowling may find it validating to know that, <a href=\"https:\/\/www.bowlingthismonth.com\/bowling-tips\/bowling-timing-its-not-a-clockwork-universe\/\">according to the magazine Bowling This Month<\/a>, bowling is a chaotic system\u2014meaning even a minuscule change in your form and throw can dramatically affect what happens when the ball reaches the pins. Many processes that occur around the world are chaotic like this, perhaps most notably the weather. In this explainer for <em>Science News Explores<\/em>, Sarah Wells details what it means for a system to be chaotic, and how scientists can analyze them using special states called \u201cstrange attractors.\u201d<\/p>\n<p><strong>Classroom Activities: <\/strong><em>chaos theory, mechanics<\/em><\/p>\n<ul>\n<li>(Mid level) For a quick overview of chaos theory, watch <a href=\"https:\/\/www.youtube.com\/watch?v=r_5shyQGIeA&amp;t=323s&amp;ab_channel=Seeker\">the embedded video<\/a> featuring Maren Hunsberger.<\/li>\n<li>(All levels) Hunsberger opens with a classic example of a chaotic system: The double pendulum. Play with <a href=\"https:\/\/www.myphysicslab.com\/pendulum\/double-pendulum-en.html\">this simulation<\/a> of a double pendulum by <em>myPhysicsLab<\/em>. How is the system affected if you play with the rod lengths and the masses?\n<ul>\n<li>The simulation creator, Erik Neumann, points out that the system is only chaotic when the angles are large. When the masses are both 2, describe the motion you see if you start the pendulum (1) about a 15-degree angle from the bottom, (2) a 45-degree angle from the bottom, (3) a 90-degree angle from the bottom (so, horizontally) (4) from the very top position.<\/li>\n<li>(High level) At what angle does chaotic behavior begin? How would you quantify this? By using the graph to quantify the pendulum\u2019s position, verify whether or not your assessment of chaotic behavior is correct.<\/li>\n<\/ul>\n<\/li>\n<li>(All levels) In <a href=\"https:\/\/theconversation.com\/explainer-what-is-chaos-theory-10620\">this article<\/a>, researchers Jonathan Borwein and Michael Rose give billiards as another example of a chaotic system. As a class, brainstorm five more examples of systems that you think might be chaotic.<\/li>\n<\/ul>\n<p style=\"text-align: right\"><em>\u2014Leila Sloman<\/em><\/p>\n<hr \/>\n<p><strong>Some more of this month\u2019s math headlines<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.scientificamerican.com\/article\/1-million-will-go-to-the-mathematician-who-busts-the-abc-conjecture-theory\/\">$1 Million Will Go to the Mathematician Who Busts the \u2018ABC Conjecture\u2019 Theory<\/a><br \/>\n<em>Scientific American<\/em>, July 28, 2023.<\/li>\n<li><a href=\"https:\/\/www.sciencenews.org\/article\/geometry-architectural-problem-bee-wasp\">How geometry solves architectural problems for bees and wasps<\/a><br \/>\n<em>Science News<\/em>, July 27, 2023.<\/li>\n<li><a href=\"https:\/\/www.scientificamerican.com\/article\/how-a-doodlers-problem-sparked-a-controversy-in-math\/\">How a Doodler\u2019s Problem Sparked a Controversy in Math<\/a><br \/>\n<em>Scientific American<\/em>, July 24, 2023.<\/li>\n<li><a href=\"https:\/\/theconversation.com\/will-i-ever-need-math-a-mathematician-explains-how-math-is-everywhere-from-soap-bubbles-to-pixar-movies-204609\">Will I ever need math? A mathematician explains how math is everywhere \u2013 from soap bubbles to Pixar movies<\/a><br \/>\n<em>The Conversation<\/em>, July 24, 2023.<\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/mathematicians-break-bounds-in-coloring-problem-20230719\/\">Mathematicians Solve Long-Standing Coloring Problem<\/a><br \/>\n<em>Quanta Magazine<\/em>, July 19, 2023.<\/li>\n<li><a href=\"https:\/\/www.theguardian.com\/lifeandstyle\/2023\/jul\/15\/we-cant-predict-the-future-but-appreciating-its-uncertainties-will-make-us-happier\">We can\u2019t predict the future, but appreciating its uncertainties will make us happier<\/a><br \/>\n<em>The Guardian<\/em>, July 15, 2023.<\/li>\n<li><a href=\"https:\/\/indianexpress.com\/article\/cities\/pune\/eminent-mathematician-dr-mangala-narlikar-dies-at-80-8843281\/\">Eminent mathematician Dr Mangala Narlikar dies at 80<\/a><br \/>\n<em>Indian Express<\/em>, July 17, 2023.<\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/how-to-build-a-big-prime-number-20230713\/\">How to Build a Big Prime Number<\/a><br \/>\n<em>Quanta Magazine<\/em>, July 13, 2023.<\/li>\n<li><a href=\"https:\/\/www.scientificamerican.com\/article\/infinity-is-not-always-equal-to-infinity\/\">Infinity Is Not Always Equal to Infinity<\/a><br \/>\n<em>Scientific American<\/em>, July 13, 2023.<\/li>\n<li><a href=\"https:\/\/physicsworld.com\/a\/the-hidden-physics-in-language\/\">The hidden physics in language<\/a><br \/>\n<em>Physics World<\/em>, July 11, 2023.<\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711\/\">New Proof Threads the Needle on a Sticky Geometry Problem<\/a><br \/>\n<em>Quanta Magazine<\/em>, July 11, 2023.<\/li>\n<li><a href=\"https:\/\/www.snexplores.org\/article\/math-explains-why-dense-crowds-form-surprisingly-orderly-lines\">Math explains why dense crowds form surprisingly orderly lines<\/a><br \/>\n<em>Science News Explores<\/em>, July 5, 2023.<\/li>\n<li><a href=\"https:\/\/www.newscientist.com\/article\/2380590-should-all-mathematical-proofs-be-checked-by-a-computer\/\">Should all mathematical proofs be checked by a computer?<\/a><br \/>\n<em>New Scientist<\/em>, July 5, 2023.<\/li>\n<li><a href=\"https:\/\/www.newscientist.com\/article\/2380893-mathematicians-calculate-42-digit-number-after-decades-of-trying\/\">Mathematicians calculate 42-digit number after decades of trying<\/a><br \/>\n<em>New Scientist<\/em>, July 3, 2023.<\/li>\n<li><a href=\"https:\/\/www.nytimes.com\/2023\/07\/02\/science\/ai-mathematics-machine-learning.html\">I. Is Coming for Mathematics, Too<\/a><br \/>\n<em>The New York Times<\/em>, July 2, 2023.<\/li>\n<li><a href=\"https:\/\/www.space.com\/euclid-spacecraft-named-after-mathematician\">Who is the Euclid &#8216;dark universe&#8217; space telescope named after?<\/a><br \/>\n<em>com<\/em>, July 1, 2023.<\/li>\n<li><a href=\"https:\/\/www.scientificamerican.com\/article\/wheres-waldo-how-to-prove-you-found-him-without-revealing-where-he-is\/\"><em>Where\u2019s Waldo?<\/em> How to Mathematically Prove You Found Him without Revealing Where He Is<\/a><br \/>\n<em>Scientific American<\/em>, July 1, 2023.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>June\u2019s record-smashing temperatures \u2014 in data Evelyn Boyd Granville, barrier-breaking mathematician, dies at 99 Mathematicians find 27 tickets that guarantee UK National Lottery win How M.C. Escher Created His Mathematical Artwork Explainer: What is chaos theory? June\u2019s record-smashing temperatures \u2014 in data Nature, July 5, 2023. This June, extreme heat<span class=\"more-link\"><a href=\"https:\/\/mathvoices.ams.org\/mathmedia\/math-digests-july-2023\/\">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":[204,243,238,100,244,99,65,242,73,239,240,241],"class_list":["entry","author-leilasloman","post-1803","post","type-post","status-publish","format-standard","category-math-in-the-media-digests","tag-astronomy","tag-chaos-theory","tag-climate-data","tag-combinatorics","tag-mechanics","tag-physics","tag-pi","tag-poincare","tag-probability","tag-scientific-analysis","tag-space","tag-tessellations"],"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\/1803","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=1803"}],"version-history":[{"count":9,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/1803\/revisions"}],"predecessor-version":[{"id":1812,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/posts\/1803\/revisions\/1812"}],"wp:attachment":[{"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/media?parent=1803"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/categories?post=1803"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathvoices.ams.org\/mathmedia\/wp-json\/wp\/v2\/tags?post=1803"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}