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The Aosta Valley (Italian: Valle d'Aosta [ˈvalle daˈɔsta] (official) or Val d'Aosta (usual); French: Vallée d'Aoste; Arpitan: Val d'Outa; Walser: Augschtalann or Ougstalland; Piedmontese: Val d'Osta) is a mountainous autonomous region in northwestern Italy. It is bordered by Auvergne-Rhône-Alpes, France, to the west, Valais, Switzerland, to the north, and by Piedmont, Italy, to the south and east. The regional capital is Aosta.

Covering an area of 3,263 km² (1,260 sq mi) and with a population of about 128,000 it is the smallest, least populous, and least densely populated region of Italy. The province of Aosta having been dissolved in 1945, the Aosta Valley region was the first region of Italy to abolish provincial subdivisions. Provincial administrative functions are provided by the regional government. The region is divided into 74 comuni (French: communes).

Italian and French are the official languages, though the native population also speak Valdôtain, a dialect of Franco-Provençal. Italian is spoken as a mother tongue by 77.29% of population, Valdôtain by 17.91%, and French by 1.25%. In 2009, reportedly 50.53% of the population could speak all three languages.

In statistics, the Gauss–Markov theorem states that the ordinary least squares (OLS) estimator has the lowest sampling variance within the class of linear unbiased estimators, if the errors in the linear regression model are uncorrelated, have equal variances and expectation value of zero. The errors do not need to be normal, nor do they need to be independent and identically distributed (only uncorrelated with mean zero and homoscedastic with finite variance). The requirement that the estimator be unbiased cannot be dropped, since biased estimators exist with lower variance. See, for example, the James–Stein estimator (which also drops linearity) or ridge regression.

The theorem was named after Carl Friedrich Gauss and Andrey Markov, although Gauss' work significantly predates Markov's. But while Gauss derived the result under the assumption of independence and normality, Markov reduced the assumptions to the form stated above. A further generalization to non-spherical errors was given by Alexander Aitken.

Semantic satiation is a psychological phenomenon in which repetition causes a word or phrase to temporarily lose meaning for the listener, who then perceives the speech as repeated meaningless sounds. Extended inspection or analysis (staring at the word or phrase for a lengthy period of time) in place of repetition also produces the same effect.

Kei car (or keijidōsha, kanji: 軽自動車, "light automobile", pronounced [keːdʑidoːɕa]), known variously outside Japan as Japanese city car, ultramini, or Japanese microcar, is the Japanese vehicle category for the smallest highway-legal passenger cars. Similar Japanese categories exist for microvans, and kei trucks. These vehicles are most often the Japanese equivalent of the EU A-segment (city cars).

The kei-car category was created by the Japanese government in 1949, and the regulations have been revised several times since. These regulations specify a maximum vehicle size, engine capacity, and power output, so that owners may enjoy both tax and insurance benefits. In most rural areas they are also exempted from the requirement to certify that adequate parking is available for the vehicle.

Kei cars have become very successful in Japan, consisting of over one-third of domestic new-car sales in fiscal 2016, despite dropping from a record 40% market share in 2013, after the government increased the kei-car tax by 50% in 2014. In 2018, seven of the 10 top-selling models were kei cars, including the top four, all boxy passenger vans: Honda N-Box, Suzuki Spacia, Nissan Dayz, and Daihatsu Tanto. Isuzu is the only manufacturer that has never offered a kei-sized vehicle for either private ownership or commercial trucks and microvans.

In export markets, though, the genre is generally too specialized and too small for most models to be profitable. Notable exceptions exist, though, for instance the Suzuki Alto and Jimny models, which were exported consistently from around 1980. Kei cars are not only popular with the elderly, but they are also popular with youths because of their affordability.

Nearly all kei cars have been designed and manufactured in Japan, but a version of the French-made Smart was briefly imported and officially classified as a kei car, and since then, the British Caterham 7 160 has also received such classification.

Kettle logic (la logique du chaudron in the original French) is a rhetorical device wherein one uses multiple arguments to defend a point, but the arguments are inconsistent with each other.

Jacques Derrida uses this expression in reference to the humorous "kettle-story", that Sigmund Freud relates in The Interpretation of Dreams (1900) and Jokes and Their Relation to the Unconscious (1905).

Salter's duck, also known as the nodding duck or by its official name the Edinburgh duck, is a device that converts wave power into electricity. The wave impact induces rotation of gyroscopes located inside a pear-shaped "duck", and an electrical generator converts this rotation into electricity with an overall efficiency of up to 90%. The Salter's duck was invented by Stephen Salter in response to the oil shortage in the 1970s and was one of the earliest generator designs proposed to the Wave Energy programme in the United Kingdom. The funding for the project was cut off in the early 1980s after oil prices rebounded and the UK government moved away from alternative energy sources. As of May 2018 no wave-power devices have ever gone into large-scale production.

Kató Lomb (Pécs, February 8, 1909 – Budapest, June 9, 2003) was a Hungarian interpreter, translator and one of the first simultaneous interpreters in the world. Originally she graduated in physics and chemistry, but her interest soon led her to languages. Native in Hungarian, she was able to interpret fluently in nine or ten languages (in four of them even without preparation), and she translated technical literature and read belles-lettres in six languages.She was able to understand journalism in further eleven languages. As she put it, altogether she earned money with sixteen languages (Bulgarian, Chinese, Danish, English, French, German, Hebrew, Italian, Japanese, Latin, Polish, Romanian, Russian, Slovak, Spanish, Ukrainian). She learned these languages mostly by self-effort, as an autodidact. Her aims to acquire these languages were most of all practical, to satisfy her interest.

According to her own account, her long life was highlighted not primarily by the command of languages but the actual study of them. Through her books, published in Hungarian in several editions as well as in some other languages, interviews (in print and on the air) and conversations, she tried to share this joy with generations. As an interpreter, she visited five continents, saw forty countries, and reported about her experiences and adventures in a separate book (Egy tolmács a világ körül, "An interpreter around the world").

The White House Reconstruction, also known as the Truman Reconstruction, was a comprehensive dismantling and rebuilding of the interior of the White House from 1949 to 1952. A century and a half of wartime destruction and rebuilding, hurried renovations, additions of new services, technologies, the added third floor and inadequate foundations brought the Executive Residence portion of the White House Complex to near-imminent collapse.

In 1948, architectural and engineering investigations deemed it unsafe for occupancy. President Harry S. Truman, his family, and the entire residence staff were relocated across the street to Blair House. For over three years, the White House was gutted, expanded, and rebuilt.

The EURion constellation (also known as Omron rings or doughnuts) is a pattern of symbols incorporated into a number of banknote designs worldwide since about 1996. It is added to help imaging software detect the presence of a banknote in a digital image. Such software can then block the user from reproducing banknotes to prevent counterfeiting using colour photocopiers. According to research from 2004, the EURion constellation is used for colour photocopiers but probably not used in computer software. It has been reported that Adobe Photoshop will not allow editing of an image of a banknote, but in some versions this is believed to be due to a different, unknown digital watermark rather than the EURion constellation.