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🔗 Mathematics

The number e is a mathematical constant approximately equal to 2.71828 and is the base of the natural logarithm: the unique number whose natural logarithm is equal to one. It is the limit of (1 + 1/n)ⁿ as n approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series

${\displaystyle e=\sum \limits _{n=0}^{\infty }{\frac {1}{n!}}={\frac {1}{1}}+{\frac {1}{1}}+{\frac {1}{1\cdot 2}}+{\frac {1}{1\cdot 2\cdot 3}}+\cdots }$

The constant can be characterized in many different ways. For example, it can be defined as the unique positive number a such that the graph of the function y = a^x has unit slope at x = 0. The function f(x) = e^x is called the (natural) exponential function, and is the unique exponential function equal to its own derivative. The natural logarithm, or logarithm to base e, is the inverse function to the natural exponential function. The natural logarithm of a number k > 1 can be defined directly as the area under the curve y = 1/x between x = 1 and x = k, in which case e is the value of k for which this area equals one (see image). There are alternative characterizations.

e is sometimes called Euler's number after the Swiss mathematician Leonhard Euler (not to be confused with γ, the Euler–Mascheroni constant, sometimes called simply Euler's constant), or as Napier's constant. However, Euler's choice of the symbol e is said to have been retained in his honor. The constant was discovered by the Swiss mathematician Jacob Bernoulli while studying compound interest.

The number e has eminent importance in mathematics, alongside 0, 1, π, and i. All five of these numbers play important and recurring roles across mathematics, and these five constants appear in one formulation of Euler's identity. Like the constant π, e is also irrational (i.e. it cannot be represented as ratio of integers) and transcendental (i.e. it is not a root of any non-zero polynomial with rational coefficients). The numerical value of e truncated to 50 decimal places is

🔗 Computing

In computer storage, Bélády's anomaly is the phenomenon in which increasing the number of page frames results in an increase in the number of page faults for certain memory access patterns. This phenomenon is commonly experienced when using the first-in first-out (FIFO) page replacement algorithm. In FIFO, the page fault may or may not increase as the page frames increase, but in Optimal and stack-based algorithms like LRU, as the page frames increase the page fault decreases. László Bélády demonstrated this in 1969.

In common computer memory management, information is loaded in specific-sized chunks. Each chunk is referred to as a page. Main memory can hold only a limited number of pages at a time. It requires a frame for each page it can load. A page fault occurs when a page is not found, and might need to be loaded from disk into memory.

When a page fault occurs and all frames are in use, one must be cleared to make room for the new page. A simple algorithm is FIFO: whichever page has been in the frames the longest is the one that is cleared. Until Bélády's anomaly was demonstrated, it was believed that an increase in the number of page frames would always result in the same number of or fewer page faults.

🔗 Islands 🔗 Lakes

A recursive island or lake is an island or lake that is itself within an island or lake.

🔗 Aviation 🔗 Military history 🔗 Military history/Military aviation 🔗 Military history/North American military history 🔗 Military history/United States military history 🔗 Military history/Military science, technology, and theory 🔗 Aviation/aircraft 🔗 Military history/Maritime warfare

The Boeing MQ-25 Stingray is an aerial refueling drone that resulted from the Carrier-Based Aerial-Refueling System (CBARS) program, which grew out of the earlier Unmanned Carrier-Launched Airborne Surveillance and Strike (UCLASS) program. The MQ-25 first flew on 19 September 2019.

The Stigler diet is an optimization problem named for George Stigler, a 1982 Nobel Laureate in economics, who posed the following problem:

For a moderately active man weighing 154 pounds, how much of each of 77 foods should be eaten on a daily basis so that the man’s intake of nine nutrients will be at least equal to the recommended dietary allowances (RDAs) suggested by the National Research Council in 1943, with the cost of the diet being minimal?

The nutrient RDAs required to be met in Stigler’s experiment were calories, protein, calcium, iron, as well as vitamins A, B₁, B₂, B₃, and C. The result was an annual budget allocated to foods such as evaporated milk, cabbage, dried navy beans, and beef liver at a cost of approximately $0.11 a day in 1939 U.S. dollars.

While the name “Stigler Diet” was applied after the experiment by outsiders, according to Stigler, “No one recommends these diets for anyone, let alone everyone.” The Stigler diet has been much ridiculed for its lack of variety and palatability; however, his methodology has received praise and is considered to be some of the earliest work in linear programming.

🔗 Human rights 🔗 Technology 🔗 Socialism 🔗 Organizations 🔗 Organized Labour

A tech union is a trade union for tech workers typically employed in high tech or information and communications technology sectors. Due to the evolving nature of technology and work, different government agencies have conflicting definitions for who is a tech worker. Most definitions include computer scientists, people working in IT, telecommunications, media and video gaming. Broader definitions include all workers required for a tech company to operate, including on-site service staff, contractors, and platform economy workers.

🔗 Apple Inc. 🔗 Computing

The term bozo bit has been used in two contexts. Initially a weak copy protection system in the 1980s Apple classic Mac OS, the term "flipping the bozo bit" was later reused to describe a decision to ignore a person's input. It is a whimsical term, possibly derived from the classic children's comedy character, Bozo the Clown.

🔗 Medicine 🔗 Physiology 🔗 Alternative medicine 🔗 Physiology/respiratory

The Buteyko method or Buteyko breathing technique is a practice used to help regulate breathing, primarily as a treatment for asthma and other respiratory conditions.

Buteyko asserts that numerous medical conditions, including asthma, are caused or exacerbated by chronically increased respiratory rate or hyperventilation. The method aims to correct hyperventilation and encourage shallower, slower breathing. Treatments include a series of reduced-breathing exercises that focus on nasal-breathing, breath-holding and relaxation.

Advocates of the Buteyko method claim that it can alleviate symptoms and reliance on medication for patients with asthma, chronic obstructive pulmonary disease (COPD), and chronic hyperventilation. The medical community questions these claims, given limited and inadequate evidence supporting the theory and efficacy of the method.

🔗 France 🔗 Languages

Verlan (French pronunciation: ​[vɛʁlɑ̃]), (verlan is the reverse of the expression "l'envers") is a type of argot in the French language, featuring inversion of syllables in a word, and is common in slang and youth language. It rests on a long French tradition of transposing syllables of individual words to create slang words. The name verlan itself is an example: it is derived from inverting the sounds of the syllables in l'envers ([lɑ̃vɛʁ], "the inverse", frequently used in the sense of "back-to-front").

🔗 United States 🔗 Internet 🔗 Law 🔗 Freedom of speech 🔗 Microsoft

Microsoft v. MikeRoweSoft was a legal dispute between Microsoft and a Canadian Belmont High School student named Mike Rowe over the domain name "MikeRoweSoft.com". Microsoft argued that their trademark had been infringed because of the phonetic resemblance between "Microsoft" and "MikeRoweSoft".

The case received international press attention following Microsoft's perceived heavy-handed approach to a 12th grade student's part-time web design business and the subsequent support that Rowe received from the online community. A settlement was eventually reached, with Rowe granting ownership of the domain to Microsoft in exchange for an Xbox and additional compensation.