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🔗 Mathematics 🔗 Statistics

Benford's law, also called the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading digit is likely to be small. For example, in sets that obey the law, the number 1 appears as the leading significant digit about 30% of the time, while 9 appears as the leading significant digit less than 5% of the time. If the digits were distributed uniformly, they would each occur about 11.1% of the time. Benford's law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on.

The graph to the right shows Benford's law for base 10, one of infinitely many cases of a generalized law regarding numbers expressed in arbitrary (integer) bases, which rules out the possibility that the phenomenon might be an artifact of the base 10 number system. Further generalizations were published by Hill in 1995 including analogous statements for both the nth leading digit as well as the joint distribution of the leading n digits, the latter of which leads to a corollary wherein the significant digits are shown to be a statistically dependent quantity. ).

It has been shown that this result applies to a wide variety of data sets, including electricity bills, street addresses, stock prices, house prices, population numbers, death rates, lengths of rivers, and physical and mathematical constants. Like other general principles about natural data—for example the fact that many data sets are well approximated by a normal distribution—there are illustrative examples and explanations that cover many of the cases where Benford's law applies, though there are many other cases where Benford's law applies that resist a simple explanation. It tends to be most accurate when values are distributed across multiple orders of magnitude, especially if the process generating the numbers is described by a power law (which are common in nature).

The law is named after physicist Frank Benford, who stated it in 1938 in a paper titled "The Law of Anomalous Numbers", although it had been previously stated by Simon Newcomb in 1881.

🔗 Soviet Union 🔗 Russia 🔗 Geography 🔗 Russia/science and education in Russia 🔗 Russia/physical geography of Russia

In geography, a pole of inaccessibility is the farthest (or the most difficult to reach) location in a given landmass, sea, or other topographical feature, starting from a given boundary, relative to a given criterion. A geographical criterion of inaccessibility marks a location that is the most challenging to reach according to that criterion. Often it refers to the most distant point from the coastline, implying the farthest point into a landmass from the shore, or the farthest point into a body of water from the shore. In these cases, a pole of inaccessibility is the center of a maximally large circle that can be drawn within an area of interest only touching but not crossing a coastline. Where a coast is imprecisely defined, the pole will be similarly imprecise.

🔗 Time 🔗 Christianity

The computus (Latin for 'computation') is a calculation that determines the calendar date of Easter. Easter is traditionally celebrated on the first Sunday after the Paschal full moon, which is the first full moon on or after 21 March (an approximation of the March equinox). Determining this date in advance requires a correlation between the lunar months and the solar year, while also accounting for the month, date, and weekday of the calendar. The calculations produce different results depending on whether the Julian calendar or the Gregorian calendar is used.

In late antiquity, it was feasible for the entire Christian church to receive the date of Easter each year through an annual announcement from the Pope. By the early third century, however, communications had deteriorated to the point that the church put great value in a system that would allow the clergy to independently and consistently determine the date for themselves. Additionally, the church wished to eliminate dependencies on the Hebrew calendar, by deriving Easter directly from the vernal equinox.

In The Reckoning of Time (725), Bede uses computus as a general term for any sort of calculation, although he refers to the Easter cycles of Theophilus as a "Paschal computus." By the end of the 8th century, computus came to refer specifically to the calculation of time.

🔗 United States 🔗 Computing 🔗 Computing/Computer hardware 🔗 Computing/Early computers 🔗 United States/Iowa

The Atanasoff–Berry computer (ABC) was the first automatic electronic digital computer. Limited by the technology of the day, and execution, the device has remained somewhat obscure. The ABC's priority is debated among historians of computer technology, because it was neither programmable, nor Turing-complete. Conventionally, the ABC would be considered the first electronic ALU (arithmetic logic unit) – which is integrated into every modern processor's design.

Its unique contribution was to make computing faster by being the first to use vacuum tubes to do the arithmetic calculations. Prior to this, slower electro-mechanical methods were used by Konrad Zuse's Z1, and the simultaneously developed Harvard Mark I. The first electronic, programmable, digital machine, the Colossus computer from 1943 to 1945, used similar tube-based technology as ABC.

🔗 China 🔗 Economics

Made in China 2025 (Chinese: 中国制造2025; pinyin: Zhōngguózhìzào èrlíng'èrwǔ) (MIC25, MIC 2025, or MIC2025) is a national strategic plan and industrial policy of the Chinese Communist Party (CCP) to further develop the manufacturing sector of China, issued by CCP general secretary Xi Jinping and Chinese Premier Li Keqiang's cabinet in May 2015. As part of the Thirteenth and Fourteenth Five-year Plans, China aims to move away from being the "world's factory"—a producer of cheap low-tech goods facilitated by lower labour costs and supply chain advantages. The industrial policy aims to upgrade the manufacturing capabilities of Chinese industries, growing from labor-intensive workshops into a more technology-intensive powerhouse.

Made in China 2025's goals include increasing the Chinese-domestic content of core materials to 40 percent by 2020 and 70 percent by 2025. To help achieve independence from foreign suppliers, the initiative encourages increased production in high-tech products and services, with its semiconductor industry central to the industrial plan, partly because advances in chip technology may "lead to breakthroughs in other areas of technology, handing the advantage to whoever has the best chips – an advantage that currently is out of Beijing’s reach."

Since 2018, following a backlash from the U.S., Europe, and elsewhere, the phrase "MIC 2025" has been de-emphasized in government and other official communications, while the program remains in place. The Chinese government continues to invest heavily in identified technologies. In 2018, the Chinese government committed to investing roughly US$300 billion into achieving the industrial plan. In the wake of the COVID-19 pandemic, at least an additional $1.4 trillion was also invested into MIC 2025 initiatives. Given China's current middle income country status, the practicality of its disproportionate expenditure on pioneering new technologies has been called into question.

🔗 Visual arts

Artist's Shit (Italian: Merda d'artista) is a 1961 artwork by the Italian artist Piero Manzoni. The work consists of 90 tin cans, each reportedly filled with 30 grams (1.1 oz) of faeces, and measuring 4.8 by 6.5 centimetres (1.9 in × 2.6 in), with a label in Italian, English, French, and German stating:

Artist's Shit
Contents 30 gr net
Freshly preserved
Produced and tinned
in May 1961

🔗 United States 🔗 Mathematics

Garfield's proof of the Pythagorean theorem is an original proof of the Pythagorean theorem discovered by James A. Garfield (November 19, 1831 – September 19, 1881), the 20th president of the United States. The proof appeared in print in the New-England Journal of Education (Vol. 3, No.14, April 1, 1876). At the time of the publication of the proof Garfield was a congressman from Ohio. He assumed the office of President on March 4, 1881, and served in that position until his death on September 19, 1881, having succumbed to injuries sustained when he was shot in an assassination in July. Garfield is thus far the only President of the United States to have contributed anything original to mathematics. The proof is nontrivial and, according to the historian of mathematics William Dunham, "Garfield's is really a very clever proof." The proof appears as the 231st proof in The Pythagorean Proposition, a compendium of 370 different proofs of the Pythagorean theorem.

🔗 Books 🔗 Business 🔗 Comics 🔗 Comics/Comic strips

The Dilbert principle is a concept in management developed by Scott Adams, creator of the comic strip Dilbert, which states that companies tend to systematically promote incompetent employees to management to get them out of the workflow. The Dilbert principle is inspired by the Peter principle, which holds that employees are promoted based on success in their current position until they reach their "level of incompetence" and are no longer promoted. Under the Dilbert principle, employees who were never competent are promoted to management to limit the damage they can do. Adams first explained the principle in a 1995 Wall Street Journal article, and expanded upon it in his 1996 business book The Dilbert Principle.

WikiReader was a project to deliver an offline, text-only version of Wikipedia on a mobile device. The project was sponsored by Openmoko and made by Pandigital, and its source code has been released.

The project debuted an offline portable reader for Wikipedia in October 2009. Updates in multiple languages were available online and a twice-yearly offline update service delivered via Micro SD card was also available at a cost of $29 per year. WikiReader versions of the English Wikipedia, Wikiquote, Wiktionary and Project Gutenberg can be installed together on a user-supplied 16 GB Micro SDHC memory card. Unlike Wikipedia itself, the device features parental controls.

The device can also run programs written in the Forth programming language; a simple calculator program is included.

In late 2014, the WikiReader website and project itself were shut down and abandoned for unknown reasons. Existing WikiReaders no longer receive updates to their database. Devices, professionally produced updates, and homegrown updates continue to be available from the secondary markets (e.g. eBay and Amazon), as well as from community efforts centered around the WikiReader subreddit.