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🔗 Italy 🔗 Food and drink

Radiatori are small, squat pasta shapes that are said to resemble radiators. Although it is rumored that they were created in the 1960s by an industrial designer, their invention was actually between the First and Second World War. They are often used in similar dishes as rotelle or fusilli, because their shape works well with thicker sauces. They are also used in casseroles, salads, and soups. The form is sometimes called pagoda pasta..

🔗 Aviation 🔗 Military history 🔗 Military history/Military aviation 🔗 Aviation/aircraft 🔗 Military history/Maritime warfare 🔗 Military history/Russian, Soviet and CIS military history 🔗 Aviation/Soviet aviation

The Lun-class ekranoplan is a ground effect vehicle (GEV) designed by Rostislav Evgenievich Alexeyev in 1975 and used by the Soviet and Russian navies from 1987 until sometime in the late 1990s.

It flew using the lift generated by the ground effect of its large wings when within about four metres (13 ft) above the surface of the water. Although they might look similar to regular aircraft, and have related technical characteristics, ekranoplans like the Lun are not aircraft, seaplanes, hovercraft, nor hydrofoils. Rather, "ground effect" is a distinct technology. The International Maritime Organization classifies these vehicles as maritime ships.

The name Lun comes from the Russian word for harrier.

🔗 Business

Management f-Laws are subversive epigrams about common management practices. Based on observation and experience, they are used to draw attention to entrenched ways of thinking about management and business that are often at odds with common sense or our actual experience.

Systems theorist Russell L. Ackoff, his co-author Herbert J. Addison and Sally Bibb invented the term in 2006 to describe their series of over 100 distilled observations of bad leadership and the misplaced wisdom that often surrounds management in organizations. Ackoff and Addison's f-Laws might seem counter-intuitive. They are designed to challenge organizations' unquestioning adherence to established management habits or beliefs. Many of the f-Laws describe a relationship of inverse proportionality, in example: "The lower the rank of managers, the more they know about fewer things."

The f-Laws advocate adopting a positive, forward-looking and interactive approach to structural or systematic change within organizations, following the principles of idealized design. This is a process that "involves redesigning the organization on the assumption that it was destroyed last night... The most effective way of creating the future is by closing or reducing the gap between the current state and the idealized design".

Three collections of f-Laws entitled A Little Book of f-Laws: 13 Common Sins of Management, Management f-Laws: How Organizations Really Work and Systems Thinking for Curious Managers have been published. While, if read in isolation, each f-Law is a witty and thought-provoking axiom, the books provide a context that draws upon systems thinking and the debate over the importance of developing soft skills in business environments.

The carrosses à cinq sols (English: five-sol coaches) were the first modern form of public transport in the world, developed by mathematician and philosopher Blaise Pascal.

🔗 Physics 🔗 Energy

Thorium-based nuclear power generation is fueled primarily by the nuclear fission of the isotope uranium-233 produced from the fertile element thorium. According to proponents, a thorium fuel cycle offers several potential advantages over a uranium fuel cycle—including much greater abundance of thorium found on Earth, superior physical and nuclear fuel properties, and reduced nuclear waste production. However, development of thorium power has significant start-up costs. Proponents also cite the low weaponization potential as an advantage of thorium due to how difficult it is to weaponize the specific uranium-233/232 and plutonium-238 isotopes produced by thorium reactors, while critics say that development of breeder reactors in general (including thorium reactors, which are breeders by nature) increases proliferation concerns. As of 2020, there are no operational thorium reactors in the world.

A nuclear reactor consumes certain specific fissile isotopes to produce energy. Currently, the most common types of nuclear reactor fuel are:

• Uranium-235, purified (i.e. "enriched") by reducing the amount of uranium-238 in natural mined uranium. Most nuclear power has been generated using low-enriched uranium (LEU), whereas high-enriched uranium (HEU) is necessary for weapons.
• Plutonium-239, transmuted from uranium-238 obtained from natural mined uranium.

Some believe thorium is key to developing a new generation of cleaner, safer nuclear power. According to a 2011 opinion piece by a group of scientists at the Georgia Institute of Technology, considering its overall potential, thorium-based power "can mean a 1000+ year solution or a quality low-carbon bridge to truly sustainable energy sources solving a huge portion of mankind’s negative environmental impact."

After studying the feasibility of using thorium, nuclear scientists Ralph W. Moir and Edward Teller suggested that thorium nuclear research should be restarted after a three-decade shutdown and that a small prototype plant should be built.

🔗 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.

🔗 Geography

The First Law of Geography, according to Waldo Tobler, is "everything is related to everything else, but near things are more related than distant things." This first law is the foundation of the fundamental concepts of spatial dependence and spatial autocorrelation and is utilized specifically for the inverse distance weighting method for spatial interpolation and to support the regionalized variable theory for kriging. It is a modern formulation of David Hume's principle of contiguity.

Tobler first presented his seminal idea during a meeting of the International Geographical Union's Commission on Qualitative Methods held in 1969 and later published by him in 1970. Though simple in its presentation, this idea is profound. Without it, "the full range of conditions anywhere on the Earth's surface could in principle be found packed within any small area. There would be no regions of approximately homogeneous conditions to be described by giving attributes to area objects. Topographic surfaces would vary chaotically, with slopes that were everywhere infinite, and the contours of such surfaces would be infinitely dense and contorted. Spatial analysis, and indeed life itself, would be impossible."

Less well known is his second law, which complements the first: "The phenomenon external to an area of interest affects what goes on inside".

🔗 Mathematics

Sexagesimal (also known as base 60 or sexagenary) is a numeral system with sixty as its base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form—for measuring time, angles, and geographic coordinates.

The number 60, a superior highly composite number, has twelve factors, namely 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, of which 2, 3, and 5 are prime numbers. With so many factors, many fractions involving sexagesimal numbers are simplified. For example, one hour can be divided evenly into sections of 30 minutes, 20 minutes, 15 minutes, 12 minutes, 10 minutes, 6 minutes, 5 minutes, 4 minutes, 3 minutes, 2 minutes, and 1 minute. 60 is the smallest number that is divisible by every number from 1 to 6; that is, it is the lowest common multiple of 1, 2, 3, 4, 5, and 6.

In this article, all sexagesimal digits are represented as decimal numbers, except where otherwise noted. For example, 10 means the number ten and 60 means the number sixty.

🔗 Mexico 🔗 Spain 🔗 Folklore 🔗 Tambayan Philippines

A folk legend holds that in October 1593 a soldier of the Spanish Empire (named Gil Pérez in a 1908 version) was mysteriously transported from Manila in the Philippines to the Plaza Mayor (now the Zócalo) in Mexico City. The soldier's claim to have come from the Philippines was disbelieved by the Mexicans until his account of the assassination of Gómez Pérez Dasmariñas was corroborated months later by the passengers of a ship which had crossed the Pacific Ocean with the news. Folklorist Thomas Allibone Janvier in 1908 described the legend as "current among all classes of the population of the City of Mexico". Twentieth-century paranormal investigators giving credence to the story have offered teleportation and alien abduction as explanations.

🔗 Biography 🔗 Mathematics 🔗 France 🔗 Women scientists 🔗 Biography/science and academia 🔗 Women's History 🔗 Mathematics/Mathematicians

Marie-Sophie Germain (French: [maʁi sɔfi ʒɛʁmɛ̃]; 1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher. Despite initial opposition from her parents and difficulties presented by society, she gained education from books in her father's library, including ones by Leonhard Euler, and from correspondence with famous mathematicians such as Lagrange, Legendre, and Gauss (under the pseudonym of «Monsieur LeBlanc»). One of the pioneers of elasticity theory, she won the grand prize from the Paris Academy of Sciences for her essay on the subject. Her work on Fermat's Last Theorem provided a foundation for mathematicians exploring the subject for hundreds of years after. Because of prejudice against her sex, she was unable to make a career out of mathematics, but she worked independently throughout her life. Before her death, Gauss had recommended that she be awarded an honorary degree, but that never occurred. On 27 June 1831, she died from breast cancer. At the centenary of her life, a street and a girls’ school were named after her. The Academy of Sciences established the Sophie Germain Prize in her honor.