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🔗 Switzerland

🔗 Germany 🔗 Military history 🔗 Military history/World War II 🔗 Military history/German military history 🔗 European history 🔗 Military history/Nordic military history 🔗 Finland 🔗 Military history/European military history

The Hitler and Mannerheim recording is a recording of a private conversation between Adolf Hitler, Führer of Nazi Germany, and Field Marshal Carl Gustaf Emil Mannerheim, Commander-in-Chief of the Finnish Defence Forces. It took place on a secret visit made to Finland by Hitler to honour Mannerheim's 75th birthday on 4 June 1942, during the Continuation War, a sub-theatre of World War II. Thor Damen, a sound engineer for the Finnish broadcaster Yleisradio (YLE) who had been assigned to record the official birthday proceedings, recorded the first eleven minutes of Hitler and Mannerheim's private conversation—without Hitler's knowledge. It is the only known recording of Hitler speaking in an unofficial tone.

🔗 Mathematics

The Berry paradox is a self-referential paradox arising from an expression like "The smallest positive integer not definable in under sixty letters" (a phrase with fifty-seven letters).

Bertrand Russell, the first to discuss the paradox in print, attributed it to G. G. Berry (1867–1928), a junior librarian at Oxford's Bodleian Library. Russell called Berry "the only person in Oxford who understood mathematical logic". The paradox was called "Richard's paradox" by Jean-Yves Gerard".

🔗 Trains

The symmetry minute is a significant time point in the clock face timetables used by many public transport operators. At this point in the cycle, a train in a clock-face timetable meets its counterpart travelling in the opposite direction on the same line. If this crossing time is constant across a network, connecting times between lines are kept consistent in both directions.

At the symmetry time, the timetable is mirrored in both directions. At the ends of the line, the center of the turnaround time coincides with the symmetry minute. The distance between two consecutive symmetry times is equal to half the cycle time, so on an hourly schedule, opposite trains on the same line cross every 30 minutes. On a two-hour cycle, there is a symmetry time every hour.

In principle, a train-encounter can be set at any time. However, at the transition between two networks or lines, it is expedient to set uniform symmetry minutes, to create a symmetrical connection relation. For the long-distance cycle systems of ÖBB and SBB, the Forschungsgesellschaft für Straßen- und Verkehrswesen für Deutschland (Research Association for Roads and Traffic for Germany) recommends minute 58, so a four-minute minimum connecting time results in a departure at minute 0. Meanwhile, most railways in Central Europe and a number of other transport operators have established the symmetry minute 58½, for a three-minute hold time before a departure at minute 0. Shorter cycles have additional symmetry minutes, shifted by half the cycle time. So an hourly cycle has symmetries at minutes 28½ and 58½, a 30-minute cycle has symmetries at minutes 13½, 28½, 43½ and 58½, and so on.

The following table shows the departure times in opposite directions for an hourly cycle, using the 58½ symmetry minute (the most common in Central Europe). The other departure times for shorter cycles can be calculated from it. The last line gives the meeting times.

🔗 Food and drink 🔗 Iceland

Although Iceland is reliant upon fishing, tourism and aluminium production as the mainstays of its economy, the production of vegetables and fruit in greenhouses is a growing sector. Until the 1960s this included commercial production of bananas.

In 1941, the first bananas in Iceland were produced. They have been produced since that time, about 100 clusters a year each about 5–20 kg (11–44 lb), but are not currently sold. In the wake of World War II, the combination of inexpensive geothermal power (which had recently become available) and high prices for imported fruit led to the construction of a number of greenhouses where bananas were produced commercially from 1945 to as late as 1958 or 1959. In 1960, the government removed import duties on fruit. Domestically grown bananas were no longer able to compete with imported ones and soon disappeared from the market. Icelandic banana production was much slower due to low levels of sunlight; Icelandic bananas took two years to mature, while it only takes a few months near the equator.

The urban myth that Iceland is Europe’s largest producer or exporter of bananas has been propagated in various books and other media. It was mentioned, in an episode of the BBC quiz programme QI, and on a forum connected with the show. According to FAO statistics, the largest European producer of bananas is France (in Martinique and Guadeloupe), followed by Spain (primarily in the Canary Islands). Other banana-producing countries in Europe include Portugal (on Madeira), Greece, and Italy.

Although a small number of banana plants still exist in greenhouses and produce fruit every year, Iceland imports nearly all of the bananas consumed in the country, with imports now amounting to over 18 kg (40 lb) per capita per annum. The Agricultural University of Iceland maintains the last such farm with 600-700 banana plants in its tropical greenhouse, which were received as donations from producers when they shut down (then the Horticultural College). Bananas grown there are consumed by the students and staff and are not sold.

🔗 Science Fiction 🔗 Business 🔗 Psychology 🔗 Anthropology 🔗 Hitchhiker's Guide to the Galaxy

"Somebody else's problem" (also "someone else's problem") is a phrase used to describe an issue which is dismissed by a person on the grounds that they consider somebody else to be responsible for it. The term is also used to refer to a factor that is "out of scope" in a particular context.

🔗 Companies

This page is an index for lists of some assets owned by large corporations.

🔗 Science

In combinatorial mathematics, an Aztec diamond of order n consists of all squares of a square lattice whose centers (x,y) satisfy |x| + |y| ≤ n. Here n is a fixed integer, and the square lattice consists of unit squares with the origin as a vertex of 4 of them, so that both x and y are half-integers.

The Aztec diamond theorem states that the number of domino tilings of the Aztec diamond of order n is 2^n(n+1)/2. The Arctic Circle theorem says that a random tiling of a large Aztec diamond tends to be frozen outside a certain circle.

It is common to color the tiles in the following fashion. First consider a checkerboard coloring of the diamond. Each tile will cover exactly one black square. Vertical tiles where the top square covers a black square, is colored in one color, and the other vertical tiles in a second. Similarly for horizontal tiles.

Knuth has also defined Aztec diamonds of order n + 1/2. They are identical with the polyominoes associated with the centered square numbers.

🔗 Politics 🔗 Psychology 🔗 Sociology

A collective action problem or social dilemma is a situation in which all individuals would be better off cooperating but fail to do so because of conflicting interests between individuals that discourage joint action. The collective action problem has been addressed in political philosophy for centuries, but was most clearly established in 1965 in Mancur Olson's The Logic of Collective Action.

Problems arise when too many group members choose to pursue individual profit and immediate satisfaction rather than behave in the group's best long-term interests. Social dilemmas can take many forms and are studied across disciplines such as psychology, economics, and political science. Examples of phenomena that can be explained using social dilemmas include resource depletion and low voter turnout. The collective action problem can be understood through the analysis of game theory and the free-rider problem, which results from the provision of public goods. Additionally, the collective problem can be applied to numerous public policy concerns that countries across the world currently face.

🔗 Norway 🔗 Paranormal

The Hessdalen lights are unidentified lights which have been observed in a 12-kilometre-long (7.5 mi) stretch of the Hessdalen valley in rural central Norway periodically since at least the 1930s.