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🔗 Mathematics

In mathematics, Euler's identity (also known as Euler's equation) is the equality

${\displaystyle e^{i\pi }+1=0}$

where

e is Euler's number, the base of natural logarithms,

i is the imaginary unit, which by definition satisfies i² = −1, and

π is pi, the ratio of the circumference of a circle to its diameter.

Euler's identity is named after the Swiss mathematician Leonhard Euler. It is considered to be an exemplar of mathematical beauty as it shows a profound connection between the most fundamental numbers in mathematics.

🔗 Aviation 🔗 Aviation/aircraft 🔗 Aviation/gliding

The yaw string, also known as a slip string, is a simple device for indicating a slip or skid in an aircraft in flight. It performs the same function as the slip-skid indicator ball, but is more sensitive, and does not require the pilot to look down at the instrument panel. Technically, it measures sideslip angle, not yaw angle, but this indicates how the aircraft must be yawed to return the sideslip angle to zero.

It is typically constructed from a short piece or tuft of yarn placed in the free air stream where it is visible to the pilot. In closed-cockpit aircraft, it is usually taped to the aircraft canopy. It may also be mounted on the aircraft's nose, either directly on the skin, or elevated on a mast, in which case it may also be fitted with a small paper cone at the trailing end. They are commonly used on gliders, but may also be found on jet aircraft (especially fighters), ultralight aircraft, light-sport aircraft, autogyros, airplanes and helicopters. Its usefulness on airplanes with a tractor configuration (single propeller at the nose) is limited because the propeller creates turbulence and the spiral slipstream displaces the string to one side.

The yaw string is considered a primary flight reference instrument on gliders, which must be flown with near zero sideslip angle to reduce drag as much as possible. It is valued for its high sensitivity, and the fact that it is presented in a head-up display. Even the most sophisticated modern racing sailplanes are fitted with yaw strings by their pilots, who reference them constantly throughout the flight.

🔗 Judaism

Tza'ar ba'alei chayim (Hebrew: צער בעלי חיים‎), literally "suffering of living creatures", is a Jewish commandment which bans causing animals unnecessary suffering. This concept is not clearly enunciated in the written Torah, but was accepted by the Talmud as being a biblical mandate. It is linked in the Talmud from the biblical law requiring people to assist in unloading burdens from animals (Exodus 23:5).

🔗 Civil engineering

A green wave occurs when a series of traffic lights (usually three or more) are coordinated to allow continuous traffic flow over several intersections in one main direction.

Any vehicle travelling along with the green wave (at an approximate speed decided upon by the traffic engineers) will see a progressive cascade of green lights, and not have to stop at intersections. This allows higher traffic loads, and reduces noise and energy use (because less acceleration and braking is needed). In practical use, only a group of cars (known as a "platoon", the size of which is defined by the signal times) can use the green wave before the time band is interrupted to give way to other traffic flows.

The coordination of the signals is sometimes done dynamically, according to sensor data of currently existing traffic flows - otherwise it is done statically, by the use of timers. Under certain circumstances, green waves can be interwoven with each other, but this increases their complexity and reduces usability, so in conventional set-ups only the roads and directions with the heaviest loads get this preferential treatment.

In 2011, a study modeled the implementation of green waves during the night in a busy Manchester suburb (Chorlton-cum-Hardy) using S-Paramics microsimulation and the AIRE emissions module. The results showed using green wave signal setups on a network have the potential to:

• Reduce CO₂, NO_x and PM₁₀ emissions from traffic.
• Reduce fuel consumption of vehicles.
• Be used on roads that intersect with other green waves.
• Reduce the time cars wait at side roads.
• Give pedestrians more time to cross at crossings and help them to cross streets as vehicles travel in platoons
• Control the speed of traffic in urban areas.
• Reduce component wear of vehicles and indirect energy consumption through their manufacture

A green wave in both directions may be possible with different speed recommendations for each direction, otherwise traffic coming from one direction may reach the traffic light faster than from the other direction if the distance from the previous traffic light is not mathematically a multiple of the opposite direction. Alternatively a dual carriageway may be suitable for green waves in both directions if there is sufficient space in the central reservation to allow pedestrians to wait and separate pedestrian crossing stages for each side of the road.

Green waves are sometimes used to facilitate bicycle traffic. Copenhagen, Amsterdam, San Francisco, and other cities may synchronize traffic signals to provide a green light for a flow of cyclists. On San Francisco's Valencia Street, the signals were retimed in early 2009 to provide a green wave in both directions, possibly the first street in the world with a two-way green wave for cyclists. In Copenhagen, a green wave on the arterial street Nørrebrogade facilitates 30,000 cyclists to maintain a 12 mph (19.3 km/h) speed for 2.5 kilometers. In Amsterdam, cyclists riding at a speed of 15 to 18 km/h will be able to travel without being stopped by a red signal. Tests show that public transport can benefit as well and cars may travel slightly slower.

In Vienna, Austria a stretch of cycle path on Lassellestrasse in the 2nd district has a display that tells cyclists their speed and the speed they must maintain to make the next green light.

Frederiksberg, a part of Copenhagen, the capital of Denmark, has implemented a green wave for emergency vehicles to improve the public services.

In the UK, in 2009, it was revealed that the Department for Transport had previously discouraged green waves as they reduced fuel usage, and thus less revenue was raised from fuel taxes. Despite this government Webtag documents were only updated in 2011. It is still unclear if the economic appraisal software used to apply these guidelines has also been updated and if the new guidelines are being applied to new projects.

In a more limited sense, the term Green wave has also been applied to railroad travel. For several years starting in the 1960s, the German Federal Railway maintained an advertising campaign featuring the slogan garantiert grüne Welle (Guaranteed Green Wave), which communicated the notion of speed, limited delays and open track blocks to potential customers choosing between train and automobile travel, and was featured prominently in promotional materials ranging from posters to radio jingles.

🔗 Linguistics 🔗 Linguistics/Applied Linguistics

The word dord is a dictionary error in lexicography. It was accidentally created, as a ghost word, by the staff of G. and C. Merriam Company (now part of Merriam-Webster) in the New International Dictionary, second edition (1934). That dictionary defined the term a synonym for density used in physics and chemistry in the following way: "dord (dôrd), n. Physics & Chem. Density."

Philip Babcock Gove, an editor at Merriam-Webster who became editor-in-chief of Webster's Third New International Dictionary, wrote a letter to the journal American Speech, fifteen years after the error was caught, in which he explained how the "dord" error was introduced and corrected.

On 31 July 1931, Austin M. Patterson, the dictionary's chemistry editor, sent in a slip reading "D or d, cont./density." This was intended to add "density" to the existing list of words that the letter "D" can abbreviate. The phrase "D or d" was misinterpreted as a single, run-together word: Dord. This was a plausible mistake, because headwords on slips were typed with spaces between the letters, so "D or d" looked very much like "D o r d". The original slip went missing, so a new slip was prepared for the printer, which assigned a part of speech (noun) and a pronunciation. The would-be word was not questioned or corrected by proofreaders. The entry appeared on page 771 of the dictionary around 1934, between the entries for Dorcopsis (a type of small kangaroo) and doré (golden in color).

On 28 February 1939, an editor noticed "dord" lacked an etymology and investigated, discovering the error. An order was sent to the printer marked "plate change/imperative/urgent". The non-word "dord" was excised; "density" was added as an additional meaning for the abbreviation "D or d" as originally intended, and the definition of the adjacent entry "Doré furnace" was expanded from "A furnace for refining dore bullion" to "a furnace in which dore bullion is refined" to close up the space. Gove wrote that this was "probably too bad, for why shouldn't dord mean 'density'?" In 1940, bound books began appearing without the ghost word, although inspection of printed copies well into the 1940s show "dord" still present. The entry "dord" was not completely removed until 1947.

🔗 Olympics 🔗 Classical Greece and Rome 🔗 Greece 🔗 Martial arts 🔗 Mixed martial arts

Pankration (; Greek: παγκράτιον) was a sporting event introduced into the Greek Olympic Games in 648 BC and was an empty-hand submission sport with scarcely any rules. The athletes used boxing and wrestling techniques, but also others, such as kicking and holds, locks and chokes on the ground. The term comes from the Greek παγκράτιον [paŋkrátion], literally meaning "all of power" from πᾶν (pan) "all" and κράτος (kratos) "strength, might, power".

It was known in ancient times for its ferocity and allowance of such tactics as knees to the head and eye gouging. One ancient account tells of a situation in which the judges were trying to determine the winner of a match. The difficulty lay in that fact that both men had died in the arena from their injuries, making it hard to determine a victor. Eventually, the judges decided the winner was the one who didn't have his eyes gouged out. Over time, however, maneuvers like eye gouging were discouraged to prevent such unpleasant incidents.

🔗 Military history 🔗 Poland 🔗 Military history/World War II 🔗 Scotland 🔗 Zoo

Wojtek (1942 – 2 December 1963; Polish pronunciation: [ˈvɔjtɛk]; in English, sometimes spelled Voytek and pronounced as such) was a Syrian brown bear (Ursus arctos syriacus) bought, as a young cub, at a railway station in Hamadan, Iran, by Polish II Corps soldiers who had been evacuated from the Soviet Union. In order to provide for his rations and transportation, he was eventually enlisted officially as a soldier with the rank of private, and was subsequently promoted to corporal.

He accompanied the bulk of the II Corps to Italy, serving with the 22nd Artillery Supply Company. During the Battle of Monte Cassino, in Italy in 1944, Wojtek helped move crates of ammunition and became a celebrity with visiting Allied generals and statesmen. After the war, mustered out of the Polish Army, he was billeted and lived out the rest of his life at the Edinburgh Zoo in Scotland.

🔗 Business 🔗 Automobiles

The Toyota Way is a set of principles and behaviors that underlie the Toyota Motor Corporation's managerial approach and production system. Toyota first summed up its philosophy, values and manufacturing ideals in 2001, calling it "The Toyota Way 2001". It consists of principles in two key areas: continuous improvement, and respect for people.

🔗 Computing

Lambda lifting is a meta-process that restructures a computer program so that functions are defined independently of each other in a global scope. An individual "lift" transforms a local function into a global function. It is a two step process, consisting of;

• Eliminating free variables in the function by adding parameters.
• Moving functions from a restricted scope to broader or global scope.

The term "lambda lifting" was first introduced by Thomas Johnsson around 1982 and was historically considered as a mechanism for implementing functional programming languages. It is used in conjunction with other techniques in some modern compilers.

Lambda lifting is not the same as closure conversion. It requires all call sites to be adjusted (adding extra arguments to calls) and does not introduce a closure for the lifted lambda expression. In contrast, closure conversion does not require call sites to be adjusted but does introduce a closure for the lambda expression mapping free variables to values.

The technique may be used on individual functions, in code refactoring, to make a function usable outside the scope in which it was written. Lambda lifts may also be repeated, in order to transform the program. Repeated lifts may be used to convert a program written in lambda calculus into a set of recursive functions, without lambdas. This demonstrates the equivalence of programs written in lambda calculus and programs written as functions. However it does not demonstrate the soundness of lambda calculus for deduction, as the eta reduction used in lambda lifting is the step that introduces cardinality problems into the lambda calculus, because it removes the value from the variable, without first checking that there is only one value that satisfies the conditions on the variable (see Curry's paradox).

Lambda lifting is expensive on processing time for the compiler. An efficient implementation of lambda lifting is ${\displaystyle O(n^{2})}$ on processing time for the compiler.

In the untyped lambda calculus, where the basic types are functions, lifting may change the result of beta reduction of a lambda expression. The resulting functions will have the same meaning, in a mathematical sense, but are not regarded as the same function in the untyped lambda calculus. See also intensional versus extensional equality.

The reverse operation to lambda lifting is lambda dropping.

Lambda dropping may make the compilation of programs quicker for the compiler, and may also increase the efficiency of the resulting program, by reducing the number of parameters, and reducing the size of stack frames. However it makes a function harder to re-use. A dropped function is tied to its context, and can only be used in a different context if it is first lifted.

🔗 Internet 🔗 Computing 🔗 Marketing & Advertising 🔗 Computing/Software 🔗 Computing/Computer Security

BonziBuddy, stylized as BonziBUDDY, (pronounced BON-zee-bud-ee) was a freeware desktop virtual assistant made by Joe and Jay Bonzi. Upon a user's choice, it would share jokes and facts, manage downloading using its download manager, sing songs, and talk, among other functions.

The software used Microsoft Agent technology similar to Office Assistant, and originally sported Peedy, a green parrot and one of the characters available with Microsoft Agent. Later versions of BonziBuddy in May 2000 featured its own character: Bonzi, the purple gorilla. The program also used a text to speech voice to interact with the user. The voice was called Sydney and taken from an old Lernout & Hauspie Microsoft Speech API 4.0 package. It is often referred to in some software as Adult Male #2.

Some versions of the software were described as spyware and adware. BonziBuddy was discontinued in 2004 after the company behind it faced lawsuits regarding the software and was ordered to pay fines. Bonzi's website remained open after the discontinuation of BonziBuddy and was said to be a virus, but was shut down at the end of 2008.