Posts Tagged ‘Census’
“We couldn’t build quantum computers unless the universe were quantum and computing… We’re hacking into the universe.”*…
… in the process of which, as Ben Brubaker explains, we learn some fascinating things…
If you want to tile a bathroom floor, square tiles are the simplest option — they fit together without any gaps in a grid pattern that can continue indefinitely. That square grid has a property shared by many other tilings: Shift the whole grid over by a fixed amount, and the resulting pattern is indistinguishable from the original. But to many mathematicians, such “periodic” tilings are boring. If you’ve seen one small patch, you’ve seen it all.
In the 1960s, mathematicians began to study “aperiodic” tile sets with far richer behavior. Perhaps the most famous is a pair of diamond-shaped tiles discovered in the 1970s by the polymathic physicist and future Nobel laureate Roger Penrose. Copies of these two tiles can form infinitely many different patterns that go on forever, called Penrose tilings. Yet no matter how you arrange the tiles, you’ll never get a periodic repeating pattern.
“These are tilings that shouldn’t really exist,” said Nikolas Breuckmann, a physicist at the University of Bristol.
For over half a century, aperiodic tilings have fascinated mathematicians, hobbyists and researchers in many other fields. Now, two physicists have discovered a connection between aperiodic tilings and a seemingly unrelated branch of computer science: the study of how future quantum computers can encode information to shield it from errors. In a paper posted to the preprint server arxiv.org in November, the researchers showed how to transform Penrose tilings into an entirely new type of quantum error-correcting code. They also constructed similar codes based on two other kinds of aperiodic tiling.
At the heart of the correspondence is a simple observation: In both aperiodic tilings and quantum error-correcting codes, learning about a small part of a large system reveals nothing about the system as a whole…
Fascinating: “Never-Repeating Tiles Can Safeguard Quantum Information,” from @benbenbrubaker in @QuantaMagazine.
Plus- bonus background on tiling.
* “We couldn’t build quantum computers unless the universe were quantum and computing. We can build such machines because the universe is storing and processing information in the quantum realm. When we build quantum computers, we’re hijacking that underlying computation in order to make it do things we want: little and/or/not calculations. We’re hacking into the universe.” –Seth Lloyd
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As we care for qubits, we might send carefully-calculated birthday greetings to Herman Hollerith; he was born on this date in 1860. A statistician and inventor, he was a seminal figure in the development of data processing: he invented (for the 1890 U.S. Census) an electromechanical tabulating machine for punched cards to assist in summarizing information (and, later, for use in accounting). His invention of the punched card tabulating machine, which he patented in 1884, marked the beginning of the era of mechanized binary code and semiautomatic data processing systems– and his approach dominated that landscape for nearly a century.
The company that Hollerith founded to exploit his invention was merged in 1911 with several other companies to form the Computing-Tabulating-Recording Company. In 1924, the company was renamed “International Business Machines” (or, as we know it, IBM).
“The right of voting for representation is the primary right by which other rights are protected”*…
One of the most insidious obstacles to fair representation is gerrymandering, the practice of re-drawing congressional districts to favor one party or another– long a feature of American politics. With the completion of each decennial census, states redraw their their district boundaries, a process that’s underway now and that will define Congressional elections in 2022.
FiveThirtyEight is maintaining a updated interactive tracker of proposed congressional maps — and whether they might benefit Democrats or Republicans in the 2022 midterms and beyond (pictured above). Explore it to watch national governance shaped before your very eyes.
* Thomas Paine
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As we fish for fairness, we might send culture-capturing birthday greetings to Norman Percevel Rockwell; he was born on this date in 1894. Famous as a painter and illustrator in the U.S. through much of the 20th Century, Rockwell created such iconic images as the Willie Gillis series, Ros ie the Riveter, Saying Grace (1951), The Problem We All Live With, and the Four Freedoms series.
Perhaps because he published in such settings as Saturday Evening Post and enjoyed so much popular acclaim, Rockwell was dismissed by serious art critics in his lifetime. But as The New Yorker ‘s art critic Peter Schjeldahl said of Rockwell in ArtNews in 1999: “Rockwell is terrific. It’s become too tedious to pretend he isn’t.”
“Indeed, you won the elections, but I won the count”*…
“There’s nothing from the CDC that I can trust,” snapped US coronavirus task-force leader Deborah Birx at a White House meeting earlier this month. According to news reports, Birx was frustrated at the agency’s tally of coronavirus deaths, as she and colleagues worried that reported numbers were up to 25 percent too high. However, if some people inside the Beltway think the counts are inflated, others think they’re too low—and the seemingly simple task of tabulating bodies has become an intensely political act.
It’s a bizarre situation, because in some sense, there’s nothing more inherently impartial than a tally of objects. This is why the act of counting is the gateway from our subjective, messy world of confused half-truths into the objective, Platonic realm of indisputable facts and natural laws. Science almost always begins with counting, with figuring out how to measure or tabulate something in a consistent, reproducible way. Yet even that very first rung on the ladder to scientific understanding is slippery when the act of counting gets entangled with money or power…
With contested vote tallies, concerns over Census data, and now the Covid-19 death toll, 2020 may mark the ugly climax of a long dispute: “The Politics of Counting Things Is About to Explode.”
And for a case study in why the terrifically-difficult underlying mechanics of “counting” lend themselves to politicization, FiveThirtyEight’s “The Uncounted Dead.”
* Nicaraguan dictator Anastasio Somoza, quoted in the Guardian (London), June 17, 1977
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As we contemplate calculation, we might recall that it was on this date in 1896 that the Dow Jones Average made its first appearance in the Customers’ Afternoon Letter, the precursor to the Wall Street Journal. It was named for two of the Letter‘s three reporters, Charles Dow and Edward Jones. It was originally comprised of 12 companies (now 30). Although it is one of the most commonly followed equity indices, many consider it to be an inadequate representation of the overall U.S. stock market compared to broader market indices such as the S&P 500 Index or Russell 3000 because the Dow only includes 30 large cap companies, is not weighted by market capitalization, and does not use a weighted arithmetic mean.
Historical (logarithmic) graph of the DJIA from 1896 to 2010
“Enumeration shall be made within three Years after the first Meeting of the Congress of the United States, and within every subsequent Term of ten Years, in such Manner as they shall by Law direct.”*…
The census is an essential part of American democracy. The United States counts its population every ten years to determine how many seats each state should have in Congress. Census data have also been used to levy taxes and distribute funds, estimate the country’s military strength, assess needs for social programs, measure population density, conduct statistical analysis of longitudinal trends, and make business planning decisions.
We looked at every question on every census from 1790 to 2020. The questions—over 600 in total—tell us a lot about the country’s priorities, norms, and biases in each decade. They depict an evolving country: a modernizing economy, a diversifying population, an imperfect but expanding set of civil and human rights, and a growing list of armed conflicts in its memory…
From our friends at The Pudding (@puddingviz), a graphic history of the questions asked in the U.S. Census. What changes each decade, what stays the same, and what do the questions say about American culture and society? “The Evolution of the American Census.”
For a look at how the pandemic is impacting this year’s census, see “It’s the Official Start to the 2020 Census. But No One Counted On a Pandemic.” and “Coronavirus could exacerbate the US census’ undercount of people of color.”
* Article 1, Section 2, of the the Constitution of the United States of America, directing the creation and conducting of a regular census; Congress first met in 1789, and the first national census was held in 1790.
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As we answer faithfully, we might send illustratively enumerating birthday greetings to John James Audubon; he was born on this date in 1785. An ornithologist, naturalist, and artist, Audubon documented all types of American birds with detailed illustrations depicting the birds in their natural habitats. His The Birds of America (1827–1839), in which he identified 25 new species, is considered one of the most important– and finest– ornithological works ever completed.
Book plate featuring Audubon’s print of the Greater Prairie Chicken
“Society is unity in diversity”*…
In less than one year, the 2020 census will record just how much more racially diverse the nation has become, continuing the “diversity explosion” that punctuated the results of the 2010 census. While less authoritative than the once-a-decade national headcount, recently released U.S. Census Bureau estimates for 2018 make plain that racial minority populations—especially Hispanic, Asian and black Americans—continue to expand, leaving fewer parts of the country untouched by diversity…
From Brookings, a pre-2020 census look at the wide dispersal of the nation’s Hispanic, Asian and black populations: Six maps that reveal America’s expanding diversity.
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As we delight in difference, we might recall that it was on this date in 1814 that then 35-year-old lawyer and amateur poet Francis Scott Key wrote “The Defense of Fort M’Henry,” a poem– which provided the lyrics for the U.S. national anthem– in which he described the bombardment of Fort McHenry by British ships of the Royal Navy in Baltimore Harbor during the Battle of Baltimore in the War of 1812. Key was inspired by the large U.S. flag, with 15 stars and 15 stripes, known as the Star-Spangled Banner, flying triumphantly above the fort during the U.S. victory.
Indeed, he wrote lyrics beyond those most of us have heard: a pro-slavery, anti-abolitionist campaigner, Key wrote a (now mostly omitted) third stanza that promises that “No refuge could save the hireling and slave / From the terror of flight, or the gloom of the grave.”
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