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π Ronald Read β Philanthropist, investor, janitor, and gas station attendant
Ronald James Read (October 23, 1921 β June 2, 2014) was an American philanthropist, investor, janitor, and gas station attendant. Read grew up in Dummerston, Vermont, in an impoverished farming household. He walked or hitchhiked 4Β mi (6.4Β km) daily to his high school and was the first high school graduate in his family. He enlisted in the United States Army during World War II, serving in Italy as a military policeman. Upon an honorable discharge from the military in 1945, Read returned to Brattleboro, Vermont, where he worked as a gas station attendant and mechanic for about 25 years. Read retired for one year and then took a part-time janitor job at J. C. Penney where he worked for 17 years until 1997.
Read died in 2014. He received media coverage in numerous newspapers and magazines after bequeathing US$1.2 million to Brooks Memorial Library and $4.8 million to Brattleboro Memorial Hospital. Read amassed a fortune of almost $8 million by investing in dividend-producing stocks, avoiding the stocks of companies he did not understand such as technology companies, living frugally, and being a buy and hold investor in a diversified portfolio of stocks with a heavy concentration in blue chip companies.
π Delphic Hymns
The Delphic Hymns are two musical compositions from Ancient Greece, which survive in substantial fragments. They were long regarded as being dated c.β138Β BC and 128Β BC, respectively, but recent scholarship has shown it likely they were both written for performance at the Athenian Pythaides in 128Β BC. If indeed it dates from ten years before the second, the First Delphic Hymn is the earliest unambiguous surviving example of notated music from anywhere in the western world whose composer is known by name. Inscriptions indicate that the First Delphic Hymn was written by Athenaeus, son of Athenaeus, while Limenius is credited the Second Delphic Hymn's composer.
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- "Delphic Hymns" | 2023-10-19 | 56 Upvotes 5 Comments
π Arrow's impossibility theorem
In social choice theory, Arrow's impossibility theorem, the general possibility theorem or Arrow's paradox is an impossibility theorem stating that when voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting a specified set of criteria: unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives. The theorem is often cited in discussions of voting theory as it is further interpreted by the GibbardβSatterthwaite theorem. The theorem is named after economist and Nobel laureate Kenneth Arrow, who demonstrated the theorem in his doctoral thesis and popularized it in his 1951 book Social Choice and Individual Values. The original paper was titled "A Difficulty in the Concept of Social Welfare".
In short, the theorem states that no rank-order electoral system can be designed that always satisfies these three "fairness" criteria:
- If every voter prefers alternative X over alternative Y, then the group prefers X over Y.
- If every voter's preference between X and Y remains unchanged, then the group's preference between X and Y will also remain unchanged (even if voters' preferences between other pairs like X and Z, Y and Z, or Z and W change).
- There is no "dictator": no single voter possesses the power to always determine the group's preference.
Cardinal voting electoral systems are not covered by the theorem, as they convey more information than rank orders. However, Gibbard's theorem extends Arrow's theorem for that case. The theorem can also be sidestepped by weakening the notion of independence.
The axiomatic approach Arrow adopted can treat all conceivable rules (that are based on preferences) within one unified framework. In that sense, the approach is qualitatively different from the earlier one in voting theory, in which rules were investigated one by one. One can therefore say that the contemporary paradigm of social choice theory started from this theorem.
The practical consequences of the theorem are debatable: Arrow has said "Most systems are not going to work badly all of the time. All I proved is that all can work badly at times."
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- "Arrow's Impossibility Theorem" | 2023-02-17 | 14 Upvotes 7 Comments
- "Arrow's impossibility theorem" | 2015-06-03 | 97 Upvotes 84 Comments
π Gompertz Function
The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779β1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period. The right-side or future value asymptote of the function is approached much more gradually by the curve than the left-side or lower valued asymptote. This is in contrast to the simple logistic function in which both asymptotes are approached by the curve symmetrically. It is a special case of the generalised logistic function. The function was originally designed to describe human mortality, but since has been modified to be applied in biology, with regard to detailing populations.
π Longest-lasting incandescent light bulbs
This is a list of the longest-lasting incandescent light bulbs.
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- "Longest-lasting incandescent light bulbs" | 2023-08-04 | 85 Upvotes 93 Comments
π Closed-eye hallucination
Closed-eye hallucinations and closed-eye visualizations (CEV) are a distinct class of hallucination. These types of hallucinations generally only occur when one's eyes are closed or when one is in a darkened room. They can be a form of phosphene. Some people report closed-eye hallucinations under the influence of psychedelics. These are reportedly of a different nature than the "open-eye" hallucinations of the same compounds. Similar hallucinations that occur due to loss of vision are called visual release hallucinations.
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- "Closed-eye hallucination" | 2016-07-04 | 54 Upvotes 18 Comments
π Our world is turning into the one depicted in Ray Bradbury's "The Murderer"
"The Murderer" (1953) is a short story by Ray Bradbury, published in his collection The Golden Apples of the Sun.
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- "Our world is turning into the one depicted in Ray Bradbury's "The Murderer"" | 2011-09-26 | 10 Upvotes 2 Comments
π 100 prisoners problem
The 100 prisoners problem is a mathematical problem in probability theory and combinatorics. In this problem, 100 numbered prisoners must find their own numbers in one of 100 drawers in order to survive. The rules state that each prisoner may open only 50 drawers and cannot communicate with other prisoners. At first glance, the situation appears hopeless, but a clever strategy offers the prisoners a realistic chance of survival. Danish computer scientist Peter Bro Miltersen first proposed the problem in 2003.
Discussed on
- "One Hundred Prisoners Problem" | 2021-10-15 | 23 Upvotes 3 Comments
- "100 prisoners problem" | 2018-05-03 | 324 Upvotes 121 Comments
π The Broomway
The Broomway is a public right of way over the foreshore at Maplin Sands off the coast of Essex, England. Most of the route is classed as a Byway Open to All Traffic, with a shorter section of bridleway. When the tide is out, it provides access to Foulness Island, and indeed was the only access to Foulness on foot, and the only access at low tide, until a road bridge was built over Havengore Creek in 1922.
At over 600 years old, recorded as early as 1419, the Broomway runs for 6 miles (9.7Β km) along the Maplin Sands, some 440 yards (400Β m) from the present shoreline. It was named for the "brooms", bundles of twigs attached to short poles, with which the route was once marked. A number of headways or hards ran from the track to the shore, giving access to local farms. The track is extremely dangerous in misty weather, as the incoming tide floods across the sands at high speed, and the water forms whirlpools because of flows from the River Crouch and River Roach. Under such conditions, the direction of the shore cannot be determined. After the road bridge was opened in 1922, the Broomway ceased to be used, except by the military.
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- "The Broomway" | 2019-08-04 | 60 Upvotes 9 Comments
π Gameframe
A gameframe is a hybrid computer system that was first used in the online video game industry. It is an amalgamation of the different technologies and architectures for supercomputers and mainframes, namely high computing power and high throughput.