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๐Ÿ”— Casting out nines

๐Ÿ”— Mathematics

The expression "casting out nines" may refer to any one of three arithmetical procedures:

  • Adding the decimal digits of a positive whole number, while optionally ignoring any 9s or digits which sum to a multiple of 9. The result of this procedure is a number which is smaller than the original whenever the original has more than one digit, leaves the same remainder as the original after division by nine, and may be obtained from the original by subtracting a multiple of 9 from it. The name of the procedure derives from this latter property.
  • Repeated application of this procedure to the results obtained from previous applications until a single-digit number is obtained. This single-digit number is called the "digital root" of the original. If a number is divisible by 9, its digital root is 9. Otherwise, its digital root is the remainder it leaves after being divided by 9.
  • A sanity test in which the above-mentioned procedures are used to check for errors in arithmetical calculations. The test is carried out by applying the same sequence of arithmetical operations to the digital roots of the operands as are applied to the operands themselves. If no mistakes are made in the calculations, the digital roots of the two resultants should be the same. If they are different, therefore, one or more mistakes must have been made in the calculations.

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๐Ÿ”— List of Unexplained Sounds

๐Ÿ”— Skepticism ๐Ÿ”— Paranormal ๐Ÿ”— Cryptozoology

The following is a list of unidentified, or formerly unidentified, sounds. All of the sound files in this article have been sped up by at least a factor of 16 to increase intelligibility by condensing them and raising the frequency from infrasound to a more audible and reproducible range.

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๐Ÿ”— Internet 0

๐Ÿ”— Computing ๐Ÿ”— Computing/Networking

Internet 0 is a low-speed physical layer designed to route 'IP over anything.' It was developed at MIT's Center for Bits and Atoms by Neil Gershenfeld, Raffi Krikorian, and Danny Cohen. When it was invented, a number of other proposals were being labelled as "internet 2." The name was chosen to emphasize that this was designed to be a slow, but very inexpensive internetworking system, and forestall "high-performance" comparison questions such as "how fast is it?"

Effectively, it would enable a platform for pervasive computing -- everything in a building could be on the same network to share data gathering and actuation. A light switch could turn on a light bulb by sending a packet to it, they can be linked together by the user.

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๐Ÿ”— IBM and the Holocaust

๐Ÿ”— Books

IBM and the Holocaust: The Strategic Alliance between Nazi Germany and America's Most Powerful Corporation is a book by investigative journalist Edwin Black which details the business dealings of the American-based multinational corporation International Business Machines (IBM) and its German and other European subsidiaries with the government of Adolf Hitler during the 1930s and the years of World War II. In the book, published in 2001, Black outlined the way in which IBM's technology helped facilitate Nazi genocide through generation and tabulation of punch cards based upon national census data.

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๐Ÿ”— Fuzzy Logic

๐Ÿ”— Mathematics ๐Ÿ”— Philosophy ๐Ÿ”— Statistics

Fuzzy logic is a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1 both inclusive. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. By contrast, in Boolean logic, the truth values of variables may only be the integer values 0 or 1.

The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by Lotfi Zadeh. Fuzzy logic had, however, been studied since the 1920s, as infinite-valued logicโ€”notably by ลukasiewicz and Tarski.

Fuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical information. Fuzzy models or sets are mathematical means of representing vagueness and imprecise information (hence the term fuzzy). These models have the capability of recognising, representing, manipulating, interpreting, and utilising data and information that are vague and lack certainty.

Fuzzy logic has been applied to many fields, from control theory to artificial intelligence.

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๐Ÿ”— Giffard Dirigible

๐Ÿ”— Aviation ๐Ÿ”— Aviation/aircraft

The Giffard dirigible or Giffard airship was an airship built in France in 1852 by Henri Giffard, the first powered and steerable (French: dirigeable โ€“ "directable") airship to fly. The craft featured an elongated hydrogen-filled envelope that tapered to a point at each end. From this was suspended a long beam with a triangular, sail-like rudder at its aft end, and beneath the beam a platform for the pilot and steam engine. Due to the highly flammable nature of the lift gas, special precautions were taken to minimise the potential for the envelope to be ignited by the engine beneath it. The engine's exhaust was diverted downwards to a long pipe projecting below the platform, and the area surrounding the boiler's stoke hole was surrounded by wire gauze. On 24 September 1852, Giffard flew the airship from the hippodrome at Place de l'Etoile to ร‰lancourt, covering the 27ย km (17ย mi) in around 3 hours, demonstrating maneuvering along the way. The engine, however, was not sufficiently powerful to allow Giffard to fly against the wind to make a return journey.

๐Ÿ”— This page crashes my chrome tab

๐Ÿ”— India ๐Ÿ”— Numismatics

The Indian rupee sign (sign: โ‚น; code: INR) is the currency symbol for the Indian rupee, the official currency of India. Designed by Udaya Kumar, it was presented to the public by the Government of India on 15 July 2010, following its selection through an "open" competition among Indian residents. Before its adoption, the most commonly used symbols for the rupee were Rs, Re or, in texts in Indian languages, an appropriate abbreviation in the language used.

The design is based on the Devanagari letter "เคฐ" (ra) with a double horizontal line at the top. It also resembles the Latin capital letter "R", especially R rotunda (๊š).

The Unicode character for the Indian rupee sign is U+20B9 โ‚น INDIAN RUPEE SIGN. Other countries that use a rupee, such as Sri Lanka, Pakistan and Nepal, still use the generic U+20A8 โ‚จ RUPEE SIGN character.

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๐Ÿ”— Scuttlebutt: Decentralised, off-grid, mesh network and self-hosted social media

๐Ÿ”— Computing

Secure Scuttlebutt (SSB) is a peer-to peer communication protocol, mesh network, and self-hosted social media ecosystem. Each user hosts their own content and the content of the peers they follow, which provides fault tolerance and eventual consistency. Messages are digitally signed and added to an append-only list of messages published by an author. SSB is primarily used for implementing distributed social networks, and utilizes cryptography to assure that content remains unforged as it is propagated through the network.

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๐Ÿ”— Blue Peacock

๐Ÿ”— Military history ๐Ÿ”— Military history/Military science, technology, and theory ๐Ÿ”— Military history/Weaponry ๐Ÿ”— Cold War

Blue Peacock, renamed from Blue Bunny and originally Brown Bunny, was a British tactical nuclear weapon project in the 1950s.

The project's goal was to store a number of ten-kiloton nuclear mines in Germany, to be placed on the North German Plain and, in the event of Soviet invasion from the east, detonated by wire or an eight-day timer to:

...ย not only destroy facilities and installations over a large area, butย ... deny occupation of the area to an enemy for an appreciable time due to contaminationย ...

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๐Ÿ”— Actuarial Notation

๐Ÿ”— Mathematics

Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.

Traditional notation uses a halo system where symbols are placed as superscript or subscript before or after the main letter. Example notation using the halo system can be seen below.

Various proposals have been made to adopt a linear system where all the notation would be on a single line without the use of superscripts or subscripts. Such a method would be useful for computing where representation of the halo system can be extremely difficult. However, a standard linear system has yet to emerge.

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