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🔗 Computer science 🔗 Mathematics

In numerical analysis, the Kahan summation algorithm, also known as compensated summation, significantly reduces the numerical error in the total obtained by adding a sequence of finite-precision floating-point numbers, compared to the obvious approach. This is done by keeping a separate running compensation (a variable to accumulate small errors).

In particular, simply summing n numbers in sequence has a worst-case error that grows proportional to n, and a root mean square error that grows as ${\displaystyle {\sqrt {n}}}$ for random inputs (the roundoff errors form a random walk). With compensated summation, the worst-case error bound is effectively independent of n, so a large number of values can be summed with an error that only depends on the floating-point precision.

The algorithm is attributed to William Kahan. Similar, earlier techniques are, for example, Bresenham's line algorithm, keeping track of the accumulated error in integer operations (although first documented around the same time) and the delta-sigma modulation (integrating, not just summing the error).

🔗 Help 🔗 Reliability

This is a non-exhaustive list of sources whose reliability and use on Wikipedia are frequently discussed. This list summarizes prior consensus and consolidates links to the most in-depth and recent discussions from the reliable sources noticeboard and elsewhere on Wikipedia.

Click here to check the list of sources.

Context matters tremendously, and some sources may or may not be suitable for certain uses depending on the situation. When in doubt, defer to the linked discussions for more detailed information on a particular source and its use. Consensus can change, and if more recent discussions considering new evidence or arguments reach a different consensus, this list should be updated to reflect those changes.

Reliability is an inquiry that takes place pursuant to the verifiability policy and the reliable sources guideline. Note that verifiability is only one of Wikipedia's core content policies, which also include neutral point of view and no original research. These policies work together to determine whether information from reliable sources should be included or excluded.

🔗 Dogs 🔗 Psychology

Intelligent disobedience occurs where a service animal trained to help a disabled person goes directly against the owner's instructions in an effort to make a better decision. This behavior is a part of the dog's training and is central to a service animal's success on the job. The concept of intelligent disobedience has been in use and a common part of service animals' training since at least 1936.

🔗 Computing 🔗 Computer science 🔗 Lists 🔗 History of Science 🔗 Bibliographies 🔗 Bibliographies/Science

This is a list of important publications in computer science, organized by field.

Some reasons why a particular publication might be regarded as important:

• Topic creator – A publication that created a new topic
• Breakthrough – A publication that changed scientific knowledge significantly
• Influence – A publication which has significantly influenced the world or has had a massive impact on the teaching of computer science.

🔗 United States

Citizenship in a Republic is the title of a speech given by the former President of the United States, Theodore Roosevelt, at the Sorbonne in Paris, France on April 23, 1910.

One notable passage on page seven of the 35-page speech is referred to as "The Man in the Arena":

It is not the critic who counts; not the man who points out how the strong man stumbles, or where the doer of deeds could have done them better. The credit belongs to the man who is actually in the arena, whose face is marred by dust and sweat and blood; who strives valiantly; who errs, who comes short again and again, because there is no effort without error and shortcoming; but who does actually strive to do the deeds; who knows great enthusiasms, the great devotions; who spends himself in a worthy cause; who at the best knows in the end the triumph of high achievement, and who at the worst, if he fails, at least fails while daring greatly, so that his place shall never be with those cold and timid souls who neither know victory nor defeat.

Someone who is heavily involved in a situation that requires courage, skill, or tenacity (as opposed to someone sitting on the sidelines and watching), is sometimes referred to as "the man in the arena".

🔗 Russia 🔗 Military history 🔗 Ukraine 🔗 Russia/politics and law of Russia 🔗 Military history/Russian, Soviet and CIS military history 🔗 Russia/history of Russia 🔗 Military history/European military history 🔗 Military history/Post-Cold War

The Battle of Snake Island took place on 24 February 2022 on Snake Island (Ukrainian: Острів Зміїний, romanized: Ostriv Zmiinyi) during the 2022 Russian invasion of Ukraine.

🔗 Mathematics

The Erdős number (Hungarian: [ˈɛrdøːʃ]) describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual has collaborated with a large and broad number of peers.

🔗 International relations 🔗 Military history 🔗 British Empire 🔗 Military history/Cold War 🔗 Military history/European military history 🔗 Military history/British military history 🔗 Commonwealth

Operation Legacy was a British Colonial Office (later Foreign Office) programme to destroy or hide files, to prevent them being inherited by its ex-colonies. It ran from the 1950s until the 1970s, when the decolonisation of the British Empire was at its height.

MI5 or Special Branch agents vetted all secret documents in the colonial administrations to find those that those that could embarrass the British government—for instance by showing racial or religious bias. They identified 8,800 files to conceal from at least 23 countries and territories in the 1950s and 1960s, and destroyed them or sent them to the United Kingdom. Precise instructions were given for methods to be used for destruction, including burning and dumping at sea. Some of the files detailed torture methods used against opponents of the colonial administrations, such as during the Mau Mau Uprising.

As decolonisation progressed, British officials were keen to avoid a repeat of the embarrassment that had been caused by the overt burning of documents that took place in New Delhi in 1947, which had been covered by Indian news sources. On 3 May 1961, Iain Macleod, who was Secretary of State for the Colonies, wrote a telegram to all British embassies to advise them on the best way to retrieve and dispose of sensitive documents. To prevent post-colonial governments from ever learning about Operation Legacy, officials were required to dispatch "destruction certificates" to London. In some cases, as the handover date approached, the immolation task proved so huge that colonial administrators warned the Foreign Office that there was a danger of "celebrating Independence Day with smoke."

Academic study of the end of the British Empire has been assisted in recent years by the declassification of the migrated archives in the Foreign and Commonwealth Office (FCO) 141 series. After the UK government admitted in 2011 that it had secret documents related to the Mau Mau Uprising, it began to declassify documents and by November 2013 some 20,000 files had been declassified. These documents can now be accessed at the National Archives in Kew, London.

🔗 Novels 🔗 Books 🔗 Novels/Short story 🔗 Horror

The King in Yellow is a book of short stories by American writer Robert W. Chambers, first published by F. Tennyson Neely in 1895. The British first edition was published by Chatto & Windus in 1895 (316 pages).

The book contains nine short stories and a sequence of poems; while the first stories belong to the genres of supernatural horror and weird fiction, The King in Yellow progressively transitions towards a more light-hearted tone, ending with romantic stories devoid of horror or supernatural elements. The horror stories are highly esteemed, and it has been described by critics such as E. F. Bleiler, S. T. Joshi, and T. E. D. Klein as a classic in the field of the supernatural. Lin Carter called it "an absolute masterpiece, probably the single greatest book of weird fantasy written in this country between the death of Poe and the rise of Lovecraft", and it was an influence on Lovecraft himself.

The book is named for the eponymous play within the stories which recurs as a motif through the first four stories, a forbidden play which induces madness in those who read it.

🔗 Military history 🔗 Military history/Military science, technology, and theory 🔗 Military history/Weaponry 🔗 Military history/World War II 🔗 Military history/Military land vehicles 🔗 Military history/European military history 🔗 Military history/British military history

The Canal Defence Light (CDL) was a British "secret weapon" of the Second World War.

It was based upon the use of a powerful carbon-arc searchlight mounted on a tank. It was intended to be used during night-time attacks, when the light would allow enemy positions to be targeted. A secondary use of the light would be to dazzle and disorient enemy troops, making it harder for them to return fire accurately. The name Canal Defence Light was used to conceal the device's true purpose. For the same reason, in US service they were designated T10 Shop Tractor.